Session 4: Beam Dynamics and Electro-magnetic Fields SPS Coordinator: Francesco Ruggio, CERN, Geneva 1-163 - COD Correction by Novel Back-leg at the KEK-PS Booster Shigeshi Ninomiya (KEK, Ibaraki) The COD correction is performed by using new driving system of back-leg windings. Two back-leg coils of the separate magnets are connected to make a closed circuit in which the induced voltages of the two magnets have opposite phases to each other. When the current source is inserted into the closed loop, the current drives the two magnets with opposite polarities. If the pair of magnets is properly selected, the current effectively corrects the orbit distortion. The selection rule of the pair is as follows; one is the magnet at the maximum distortion and the second magnet is that separated with the betatron phase of -90deg. The correction system at the KEK-PS Booster reduced the COD to less than 1/5 of that without correction, and increased the capture efficiency. The average beam intensity of our Booster is increased from 2E+12 to 2.6E+12ppp. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 2-166 - Non-linear Evolution of Vortices in Electrostatic Plasma Lens for High-current Ion Beam Focusing Vasyl Maslov, Alexey Goncharov, Vitaly Tretyakov (NSC/KIPT, Kharkov) In the plasma lens (PL) for ion beam focusing the vortices can be excited. In this presentation the equation describing the vortex has been derived. The correlation between linear growth rate and nonlinear one is obtained. The structures of slow and fast vortices of small and large amplitudes and their dependences on lens parameters are described. The vortices are excited in homogeneous plasma by pairs. The non-uniformity of the electron density leads to the situation when the vortex - concentration (vortex - hole) goes to area of larger (smaller) electron density. The radial velocities of the vortices are calculated. The formation of spiral distribution of electron density due to electron reflection by vortex is described. The possibility of suppression of instability development of collective field excitation in near wall area of PL due to electron density increase on radius in this area has been considered. It has been shown by numerical simulation, that the aberrations, called by such electron density distribution on radius, are small. The numerical simulation is also used for determination of focusing quality of high-current ion beams by the electrostatic PL with various parameters. This work is partly supported by STCU project No. 1596. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 3-202 - Transfer Matrices for the Coupled Space Charge Dominated Six-dimensional Particle Motion Davit Kalantaryan, Yuri Lawrent Martirosyan (CANDLE, Yerevan) In this paper we present exact analytical solutions for the particle motion in the six-dimensional phase space taking into account the space charge forces of fully linear coupled beam. The transfer matrices for the typical elements of magnetic lattice, such as drifts, cavities, quadrupole and dipole magnets have been obtained. The symplectic transfer matrices are used to develop a tracking program for the coupled betatron and synchro-betatron motion that enables the simulation of the tilted beam effects in circular accelerators. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 4-239 - The Small-gap Undulator Impedance Study Michael Ivanyan, Vasili Mkrtich Tsakanov (CANDLE, Yerevan) The small gap undulator vacuum chamber resistive impedance model is developed. The vacuum chamber is considered as equal-radii tubes with the different wall materials (stainless steel "copper" stainless steel). The complete impedance was calculated as a sum of tubes and transitions impedances. The modal expansion method for transition impedance calculation is presented. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 5-331 - RHIC Optics Measurements at Different Working Points Mei Bai, Rama Calaga, Steve Peggs, Thomas Roser, Todd Satogata (BNL, Upton, Long Island, New York) Working point scans at RHIC were performed during 2004 to determine the effect on lifetime and luminosity. Linear optics were measured for different working point tunes by exciting coherent oscillations with the aid of RHIC AC dipoles. Two methods to measure the beta functions and phases are presented and compared: a conventional technique, and a new method based on singular value decomposition (SVD). The performance of a 3-bump beta wave algorithm to identify quadrupole error sources is also presented. Work performed under the auspices of the US Department of Energy Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 6-341 - Tune Survey of Dynamic Apertures for High-brilliance Optics of the Pohang Light Source Eun-San Kim (PAL, Pohang) The PLS storage ring is a 2.5 GeV light source and the dynamic apertures in a lattice for the low emittance in the ring have been investigated by a simulation method. The dynamic apertures that include effects of machine errors and insertion devices were obtained by a tune survey in the simulation. It was also shown that how large are the dynamic aperture compensated after corrections of a CODs. The betatron tune for the operation of the high-brilliance lattice are investigated based on the view point of dynamic apertures obtained from a tune survey. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 7-347 - Minimum Electron Beamsize of Double and Triple Bend Lattices Tae-Yeon Lee, Jinhyuk Choi (PAL, Pohang) It has been recently popular in light sources to make insertion straight sections dispersive to achieve lower emittance. But since the introduced dispersion contributes to the elctron beam size, the emittance ceases to be directly related to the brightness. Hence discussed in this paper is the electron beamsize in unsertion straights rather than usual beam emittance. Theoretical minimum beamsize is investigated both for double and triple bend lattices Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 8-419 - Optimization of Sextupole Strengths in a Storage Ring for Top-up Operation Hitoshi Tanaka, Takashi Ohshima, Kouichi Soutome, Masaru Takao, Hideki Takebe (JASRI/SPring-8, Hyogo) In top-up operation of a light source, electron or positron beams are frequently injected to keep the stored current constant. Closing an injection bump orbit is thus critically important not to disturb precise experiments. However, there are sextupole magnets inside the injection bump in the SPring-8 storage ring and the bump never closes all over the bump amplitude due to the sextupole nonlinearity. To solve the problem, we proposed a scheme based on minimum condition for the injection bump leakage. The scheme only restricts the sextupole strengths within the bump. Introduction of other sextupole families outside the bump can enlarge the dynamic aperture (DA) of the ring with keeping the minimum leakage. To find the best solution, we optimized the sextupole strengths changing the number of sextupole family as a parameter. The simulation shows that addition of two sextupole families sufficiently enlarges DA. Cabling of the sextupole magnets was partly changed in the summer 2003 and the effects of the strength optimization on the bump leakage, injection efficiency and beam lifetime has been investigated experimentally. We present the obtained results compared with the simulations. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 9-449 - RF Focusing of Low-Charge-to-Mass-Ratio Heavy-Ions in a Superconducting Linac Eduard Sergeevich Masunov, Dmitry Alexandrovich Efimov (MEPhI, Moscow), Peter Ostroumov (ANL/Phys, Argonne, Illinois) A post-accelerator of radioactive ions (RIB linac) must produce high-quality beams over the full mass range, including uranium, with high transmission and efficiency (P.N. Ostroumov and et al., Proc. of the PAC2001, p. 4080.). The initial section of the RIB linac is a low-chargeto-mass-ratio superconducting RF linac which will accelerate any ion with q/A>=1/66 to ~900 keV/u or higher. This section of the linac consists of many interdigital cavities operating at &#8211;20 degree synchronous phase and focusing can be provided by SC solenoids following each cavity. For the charge-to-mass ratio q/A=1/66 a proper focusing can be reached with the help of strong SC solenoid lenses with magnetic fields up to 15 T. These state-of-the-art solenoids are expensive. A possible lower cost alternative focusing method based on the combination of low-field SC solenoids and RF focusing is proposed and discussed in this paper. Work supported by the U. S. Department of Energy under contract W-31-109-ENG-38 Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 10-506 - Trajectory Correction Studies for the CNGS Proton Beam Line Malika Meddahi, Werner Herr (CERN, Geneva) The performance of the proposed trajectory correction scheme for the CNGS proton beam line was checked with an advanced simulation program. It was first investigated whether the scheme will be sufficient, and if some correctors or monitors could be suppressed in order to reduce the cost. The correction scheme was in particular tested for the case of faulty correctors or monitors. Possible critical scenarios were identified, which may not be visible in a purely statistical analysis. This part of the analysis was largely based on the experience with trajectory and orbit correction problems encountered in the SPS and LEP. The simulation of the trajectory correction procedure was done using recently developed software. CERN Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 11-507 - Aperture and Stability Studies for the CNGS Proton Beam Line Malika Meddahi, Werner Herr (CERN, Geneva) The knowledge of the beam stability at the CNGS target is of great importance, both for the neutrino yield and for target rod resistance against non-symmetric beam impact. Therefore, simulating expected imperfections of the beam line elements and possible injection errors into the CNGS proton beam line, the beam spot stability at the target was investigated. Moreover, the mechanical aperture of the CNGS proton beam line was simulated and the results confirmed that the aperture is tight but sufficient. CERN Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 12-540 - Optimization of Low Emittance Lattices for PETRA III Winfried Decking, Klaus Balewski (DESY, Hamburg) The reconstruction of the existing 2.3 km long storage ring PETRA II into a 3rd generation synchrotron light source (PETRA III) calls for an horizontal emittance of 1 nm rad. In addition the on- and off-momentum dynamic acceptance should be large to ensure sufficient injection efficiency and beam lifetime. We present three different types of lattices for the arcs of PETRA: a so-called TME lattice and a FODO lattice which both are newly designed to reach the specified emittance and the present FODO lattice with damping wigglers. The different lattice types have been compared through tracking calculations, including wiggler nonlinearities. Only the relaxed FODO lattice with damping wigglers meets the acceptance goals. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 13-590 - Closed Orbit Correction and Orbit Stabilisation Scheme for the 6 GEV Synchrotron Light Source PETRA III Gajendra Kumar Sahoo, Klaus Balewski, Winfried Decking, Yongjun Li (DESY, Hamburg) PETRA III is a 6 GeV synchrotron light source being reconstructed out of the existing storage ring PETRA II. It will have a horizontal beam emittance of 1nm.rad and a 1% emittance ratio. Since the vertical beam sizes are ~5?10 micron in the low gap undulators sections the beam position stability requirement in the vertical plane is between 0.5 and 1 micron whereas the stability requirement in the horizontal plane is more relaxed. In this paper determination of golden orbit in the presence of magnetic field errors and magnet misalignments and correction of vertical spurious dispersion is discussed. A scheme of slow and fast orbit correction using the SVD algorithm has been developed. The distribution of monitors and the location of slow and fast correctors are reported. Estimations of the parameters of the fast orbit feedback have been derived from present measurements on PETRA II. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 14-627 - Beam Quality Preservation in the CERN PS-SPS Complex Gianluigi Arduini (CERN, Geneva) The LHC will require beams of unprecedented transverse and longitudinal brightness. Their production imposes tight constraints on the emittance growth in each element of the LHC injector chain, namely the PS-SPS Accelerator Complex. The problems encountered at the different stages of the acceleration in the complex span a wide range of topics, such as injection matching, RF gymnastics, space charge, transverse and longitudinal single- and coupled-bunch instabilities, and electron cloud effects. The measurement techniques developed and applied to identify and study the various sources of emittance dilution to the high precision required for the LHC beams and the solutions found to control such phenomena are illustrated. AB Division, CERN, Geneva, Switzerland Type of presentation requested: This is an Invited Oral Presentation Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 15-648 - Transverse Optics Improvements for RHIC Run 4 Johannes Van Zeijts (BNL, Upton, Long Island, New York) The magnetic settings in RHIC are driven by an online model, and the quality of the resulting lattice functions depend on the correctness of the settings, including knowledge of the magnet transfer-functions. Here we first present the different inputs into the online model, including dipole sextupole compenents, used to set tunes and chromaticities along the ramp. Next, based on an analysis of measured tunes and chromaticities along the fy03 polarized proton ramp, we present predictions for quadrupole transferfunction changes. The changes are implemented for the fy04 Au ramp, and we show the improved model agreement for tunes, and chromaticities along the ramp, and measured transverse phase-advance at store. We also describe model improvements for derived observables like the quality of transverse bump closure and observed luminosity ratios between individual interaction points. Work supported by U.S. DOE under contract No DE-AC0298CH10886 Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 16-653 - Beam Invarients for Diagnostics Viatcheslav V. Danilov, Alexander V. Aleksandrov (ORNL/SNS, Oak Ridge, Tennessee) This paper deals with some measurable quantities of beams preserved under symplectic transformations. General beam distributions have no determined area, and rms quantities of the beam do not provide invariants in general nonlinear case. It is shown, though, that in the 1D case there exist some integral and local invariants, directly linked to Liouville's theorem. Beam invariants, related to general properties of symplectic transformations, are also found and presented for 2D and 3D cases. If measured at different locations, they can tell whether the transformation is symplectic or there exists diffusion, friction, or other nonHamiltonian dynamic processes in the beam. Research sponsored by UT-Batelle, LLC, under contract no. DE-AC05-00OR22725 for the U.S. Department of Energy SNS is a partnership of six national laboratories: Argonne, Brookhaven, Jefferson, Lawrence Berkeley, Los Alamos, and Oak Ridge Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 17-729 - The Project of the Emittances Reduction in the Siberia-2 Storage Ring of KURCHATOV Center of SR Vladimir Korchuganov, Sergey Sinyatkin (BINP, Novosibirsk), Alexandre Valentinov, Yury Yupinov (RRC Kurchatov Institute, Moscow) The 2.5 GeV dedicated SR source Siberia-2 works with an electron beam having horizontal emittance 98 nmrad. In the report the results of theoretical development of variants of magnetic optics with small emittances are presented. The calculations show, firstly, an opportunity exists to achieve a 66 nm-rad horizontal emittance at the expense of optic change only. In this case the arrangement of magnetic elements is not changed and the achromatic bends are kept. Secondly, in a case with not zero dispersion in all straight sections of Siberia - 2, optical structure with 17 nm-rad emittance (at 2.5 GeV) it seems quite achievable with the existing opportunities of changing the magnetic elements parameters. In this case the injection scheme demands the installation of one additional kicker for the matching of the pre-kick and kick. The results of experimental testing of the 66nm-rad structure will also be given in the report. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 18-741 - Evolution of Optical Asymmetries in the Elettra Storage Ring Fatma Iazzourene, Simone Di Mitri, Emanuel Karantzoulis, Lidia Tosi (ELETTRA, Basovizza, Trieste) Optical asymmetries have been measured and analyzed, before and after the magnet realignments. One way is to compare theoretical to measured orbit response matrices. Another way is to analyze the measured response matrix itself, by comparing the measured effects at identical optical positions. To evaluate the effects of the sextupoles on the optical asymmetries, the measurements have been performed with the sextupoles ON and OFF. The impact of a partial realignment is also analyzed both by varying the quadrupole excitations as well as by performing dispersion and coupling measurements. The results are presented in this paper. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 19-757 - Lattice for CELLS Marc Munoz, Dieter Einfeld (CELLS, Bellaterra (Cerdanyola del Vallès)) The CELLS is an approved project to build a national synchrotron light source in Spain. The main goals of the project are to provide a medium energy machine (3 GeV) with low emittance and top up operation, a circumference of ~280 m and at least 12 straight sections available for experiments. At present, two lattices are being considered. The first one is based in QBA optics and provides and emittance of 5 nm-rad, using existing technologies. The second one is a TBA one, with an emittance of 2 nm, where physical aperture are reduced by at least a factor 2 and gradients in the bending magnets are up to 10 T/m. We present the selected lattice, and review the main beam dynamics (energy acceptance, errors) issues. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 20-786 - Beam Optical Design of a Multi Charge Ion Recirculator for Charge Breeders Rainer Cee, Wolfgang Mittig, Antonio Carlos Villari (GANIL, Caen) Ions of high charge states as required for both stable and radioactive beams in order to optimally profit from the existing accelerating voltage can be produced by means of a charge breeder. However, the energy increase obtained is accompanied by an intensity decrease due to the low efficiency of the charge breeding process. With respect to the production of radioactive beams an enhancement of the breeding efficiency would be most desirable to avoid a high power primary beam as yet inevitable to counteract the loss in intensity. For this purpose the beam optics of an ion recirculation capable to separate the desired charge state and to reinject the remaining charge spectrum has been designed. The ions extracted from both sides of the charge breeder are focused by electrostatic quadrupole doublets and bent by two 180 dipole magnets. After one revolution the optics realises horizontally a (1:1) and vertically a (1:-1) point-to-point image independent from the charge state of the ions. The second order geometric aberrations as well as most of the chromatic aberrations vanish. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 21-792 - Effect of Measured Multipole Field Errors on the SNS Accumulator RingBeam Dynamics Sarah M. Cousineau (ORNL/ASD, Oak Ridge, Tennessee), Alexei V. Fedotov, Animesh Kumar Jain, Yong Yung Lee, Deepak Raparia (BNL, Upton, Long Island, New York), Stuart Henderson, Jeffrey Alan Holmes, Michael Plum (ORNL/SNS, Oak Ridge, Tennessee) Field surveys performed on all of the SNS accumulator ring quadrupole and dipole magnets have resulted in a complete set of magnet multipole errors. A significant sextupole component has been observed in one family of quadrupole magnets. The impact of the measured multipole errors on the beam dynamics and the tunability of the SNS accumulator ring is studied using the ORBIT and UAL particle tracking codes. Additionally, a quadrupole placement scheme that minimizes the effect of the sextupole field error is examined. SNS is managed by UT-Battelle, LLC, under contract DEAC05-00OR22725 for the U.S. Department of Energy SNS is a partnership of six national laboratories: Argonne, Brookhaven, Jefferson, Lawrence Berkeley, Los Alamos and Oak Ridge Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 22-795 - Beam Dynamics Simulations at the SDALINAC for the Optimal Position of Beam Energy Monitors Bastian Steiner, Wolfgang F.O. M&#252;ller, Thomas Weiland (TEMF, Darmstadt), Achim Richter (TU Darmstadt, Darmstadt) The S-DALINAC is a 130 MeV superconducting recirculating electron accelerator serving several nuclear and radiation physics experiments as well as driving an infrared free-electron laser. For the experiments an energy stability of 1E-4 should be reached. Therefore noninvasive beam position monitors will be used to measure the beam energy. For the measurement the different flight time of the electrons to the ideal particle are compared, that means in the simulations the longitudinal dispersion of the beam transport system is used for the energy detection. The results of the simulations show that it is possible to detect an energy difference of 1E-4 with this method. The results are also proven by measurements. Work supported in part by DFG under contract SFB 634 Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 23-810 - COD Measuring And Correction at SIBERIA-2 Alexandre Valentinov, Iouri Krylov, Yury Yupinov (RRC Kurchatov Institute, Moscow) Electron closed orbit distortion (COD) is measured by 24 beam position monitors (BPM) with 10 micron accuracy at SIBERIA-2 storage ring. A number of linear mathematical methods for COD correction are available, such as RMS minimization, MICADO, SVD. Correction system now allows to achieve rather small rms values of COD (at azimuths of BPMs) which are close to 0.2 mm in vertical plane and 0.7 mm in horizontal one by using 12 correctors in each transversal direction, though we have less than 4 monitors for one betatron oscillation (working point Qx = 7.775, Qz = 6.695). In order to get a better COD control we used gradient correction coils, which are situated in each quadrupole lens. Change in gradient of one lens leads to orbit deviation on BPM azimuths if there is a difference dy between beam position inside the lens and its magnetic axe. COD measured by BPMs can be matched with theoretically calculated one using dy as a parameter. So we can find electron beam positions in 72 points (number of quadrupoles). This information can be used for calibration of BPM positions relative to quadrupoles positions and in correction schemes. In the report the results of orbit measurements by both methods are presented with an indication of the accuracy. The results of COD corrections at the different energies of Siberia-2 ring are described. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 24-868 - Transverse Coupling Measurement using SVD Modes from Beam Histories Chun-Xi Wang (ANL, Argonne, Illinois), Rama Calaga (BNL, Upton, Long Island, New York) In this report we investigate the measurement of local transverse coupling from turn-by-turn data measured at a large number of beam position monitors. We focus on a direct measurement of coupled lattice functions using the Singular Value Decomposition (SVD) modes and explore the accuracy of this method. The advantages and shortcomings of this model-independent method for coupling measurement will be also discussed. Work supported by U.S. Department of Energy, Office of Basic Energy Sciences, under Contract No. W-31-109ENG-38 Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 25-869 - Algorithm to Untangle Mixed Modes in Modelindependent Analysis of Rings Chun-Xi Wang (ANL, Argonne, Illinois) SVD mode analysis is a basic techinique in ModelIndependent Analysis of beam dynamics. It decomposes the spatial-temporal variation of a beam centroid into a small set of orthogonal modes based on statistical analysis. Although such modes have been proven to be rather informative, each orthogonal mode may not correspond to an individual physical source but a mix of several in order to be orthogonal. Such mixing makes it difficult to quantitatively understand the SVD modes and thus limits their usefulness. Here we report a new techinique to untangle the mixed modes in storage ring analysis based on the fact that most of the physical modes in a ring have identifiable characteristics in frequency domain. Work supported by U.S. Department of Energy, Office of Basic Energy Sciences, under Contract No. W-31-109ENG-38 Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 26-905 - Operational Measurement of Coupling by Skew Quadrupole Modulation Yun Luo, Peter Cameron, Al Marusic, Fulvia Caterina Pilat, Thomas Roser, Dejan Trbojevic (BNL, Upton, Long Island, New York) The measurements of betatron coupling via skew quadrupole modulation is a new diagnostics technique that has been recently developed and tested at RHIC. By modulating the current of different skew quadrupole families with different frequencies and measuring the resulting eigentunes response with a high resolution phase lock loop (PLL) system, it is possible to determine the projections of the residual coupling coefficients. We report the results of extensive beam studies carried on at RHIC injection, store energy and on the ramp. The capability of measuring coupling on the ramp opens the possibility of continuous coupling corrections during acceleration. Work performed under the auspices of the US Department of Energy Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 27-906 - Principle of Skew-quadrupole Modulation for Transverse Couplingmeasurement Yun Luo, Thomas Roser, Dejan Trbojevic, Jie Wei (BNL, Upton, Long Island, New York) The idea of modulating Skew Qudrupoles to measure the ring betatron coupling was put forth by T. Roser. In this paper, analytical solutions for this technique is given. Simulation are also carried out based on RHIC. And other relevent issues concerning this technique's application are also discussed. All of them show this idea of modulating skew qudrupoles to measure the betatron coupling are applicable. Work performed under the auspices of the US Department of Energy Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 28-921 - Multiple-charge-state Beam Steering in High-intensity Heavy-ion Linacs Eliane Schnirman Lessner, Peter Ostroumov (ANL/Phys, Argonne, Illinois) An algorithm suitable for correction to steering of multiple-charge-state beams in heavy-ion linacs operating at high currents has been developed [*]. It follows a four-dimensional minimization procedure that includes coupling of the transverse beam motions. A major requirement is that it obeys the restricted lattice design imposed by the acceleration of multiplecharge-state heavy-ion beams [**]. We study the algorithm efficiency in controlling the beam effective emittance growth in the presence of random misalignments of cavities and focusing elements. Limits on misalignments are determined by quantifying beam losses and effective steering requirements are selected by examining several correcting schemes within the real-state constraints. The algorithm is used to perform statistically significant simulations to study beam losses under realistic steering. Work supported by the U. S. Department of Energy under contract W-31-109-ENG-38 * E. S. Lessner and P. N. Ostroumov, Proc. Part. Accel. Conf. (2003) ** P. N. Ostroumov, Phys. Rev. STAB Vol. 5, 0030101 (2002) Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 29-955 - Investigation of Injection through Bending Magnet Fringe Fields in X-rays Source NESTOR Andrey Mytsykov, Peter Gladkikh, Alexandr Valerij Ryezayev, Andrey Yurij Zelinsky (NSC/KIPT, Kharkov) In paper injection in the X-rays source NESTOR through fringe fields of a bending magnet is considered. The simulation of a motion of a beam of charged particles through 3-d fields of magnetic devices of the injection channel, which ones is located on a ring, are performed. The focusing properties of the injection channel are determined. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 30-959 - The Operation Modes of Kharkov X-ray Generator based on Compton Scattering NESTOR Peter Gladkikh, Eugene Victor Bulyak, Ivan Karnaukhov, Andrey Mytsykov, Alexander Shcherbakov, Andrey Yurij Zelinsky (NSC/KIPT, Kharkov) The results of theoretical and numerical considerations of linear Compton scattering are used to evaluate characteristics of X-rays produced by collision between a low emittance electron beam and intensive laser light in an X-rays generator NESTOR of NSC KIPT. Two main generation modes have been under consideration at preliminary NESTOR design. There are the operation mode for medicine 33.4 keV X-rays production using 43 Mev electron beam and Nd:YAG laser beam and higher energy X-rays production mode providing X-rays with energy up to 900 keV with 225 MeV electron beam and Nd:YAG laser beam. It is supposed to use an optical cavity for laser beam accumulation of about 2.6 m long and an interaction angle of about 30 in both operation modes. A few more operation modes provide possibility to expand operation range of NESTOR. Using interaction angle 100 and 1500 along with optical resonator 42 or 21 cm long and the second mode of laser light it is possible to produce X-rays in energy range from a few keV till 1.5 MeV. The intensity and spectral brightness of the X-rays is expected to be ~ 1013 phot/s and ~ 1013 phot/s/mm2/mrad2/0.01%BW respectively. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 31-960 - Lattice of NSC KIPT Compact Intense X-ray Generator NESTOR Alexander Shcherbakov, Peter Gladkikh, Ivan Karnaukhov, Vasilij Markov, Andrey Mytsykov, Vasilij Skirda, Andrey Yurij Zelinsky (NSC/KIPT, Kharkov) The new generation of the intense X-rays sources based on low energy electron storage ring and Compton scattering of laser beam allows to produce X-rays with intensity up to 1014 phot/s. One of the main traits of a storage ring lattice for such generator type is using of magnetic elements with combined focusing functions such as bending magnets with quadrupole and sextupole field components. In combination with very low bending radius and dense magnetic elements setting along ring circumference it leads to increasing of 3D magnetic field effects on electron beam dynamics and can decrease generated radiation intensity drastically. For the reasons of very low electron beam size at the interaction point and strong focusing in a compact storage ring the questions of determination of accuracy of bending magnet is very important too. The paper is devoted to the description of lattice of NSC KIPT Compact X-ray generator NESTOR. The results of investigations of the effects of 3D magnetic field and harmonic compound due to manufacture errors of bending magnets, bending magnet and lenses edges on electron beam dynamics are presented. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 32-963 - NESTOR Reference Orbit Correction Vadim Anatolij Ivashchenko, Peter Gladkikh, Ivan Karnaukhov, Andrey Mytsykov, Vladimir Trotsenko, Andrey Yurij Zelinsky (NSC/KIPT, Kharkov) It is known that intensity of scattered radiation in Xrays generators based on Compton scattering strongly depends on relative position of electron and laser beams. For this reason it is very important to have effective system of reference orbit correction and beam position control as well along whole ring as at the interaction point. In the paper the results of design and development of reference orbit correction system for compact storage ring NESTOR are presented. The total reference orbit correction will be carried out in vertical plane only. Correctors will be disposed on quadrupole lenses and will be provide reference orbit correction angle up to 0.10. The local correction at the interaction point will be provided with four correctors located at the interaction straight section. In the article results of calculations, layout of whole system, quadrupole lenses and pick-up station parameters and schemes are presented. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 33-999 - Non-destructive Beam Measurements Mei Bai (BNL, Upton, Long Island, New York) In high energy accelerators especially storage rings, non-destructive beam measurements are highly desirable to minimize the impact on the beam quality. In principle, the non-destructive tools can be either passive detectors like Schottky, or active devices which excite either longitudinal or transverse beam motions for the corresponding measurements. An example of such a device is ac dipole, a magnet with oscillating field, which can be used to achieve large coherent betatron oscillations. It has been demonstrated in the Brookhaven AGS that by adiabatically exciting the beam, the beam emittance growth due to the filamentation in the phase space can be avoided. This paper overviews both techniques in general. In particular, this paper also presents the beam tune measurement with Schottky detector, phase advance measurement as well as non-linear resonance measurements with the ac dipoles in the Brookhaven RHIC. This work is performed under the auspices of the US DOE Type of presentation requested: This is an Invited Oral Presentation Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 34-1025 - Efficient Modeling for Beam-beam Interactions Michael G. Zeitlin, Antonina N. Fedorova (RAS/IPME, St. Petersburg) We consider modeling for strong-strong beam-beam interactions beyond the standard perturbative methods. In our approach, based on projection methods and efficient functional space decomposition in localized bases with control of convergence for a nonlinear and/or singular integral operators (Hilbert transform) based models, the full possible spectrum, partly discovered before (discrete coherent and possible incoherent oscillations), appears as the result of the exact multiresolution/multiscale fast convergent decomposition in the bases of high-localized nonlinear modes. The constructed solutions represent the full multiscale spectrum with contributions from all internal hidden modes from the slow to fast oscillating eigenmodes. The underlying methods provide some sort of the algebraical control of the spectrum and the type of dynamical behaviour. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 35-1087 - Observation of Coupling Resonance in HIMAC Synchrotron Tomonori Uesugi, Koji Noda (NIRS, Chiba-shi) Coupling resonance was observed at operating points near to Qx-Qy=1. Two-dimensional profile of a beam at its equilibrium was measured, and it was found that the beam was inclined in transverse when the operating point is near to the resonance condition. We will present the detail of the measurement and the results. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 36-1091 - Combined Beam Dynamics Study of the RFQ and DTL for PEFP Ji-ho Jang, Yong-Sub Cho, Hyeok-Jung Kwon (KAERI, Daejon) One of the goals of the Proton Engineering Frontier Project (PEFP) is to get 20 MeV proton beams of 20 mA through a 3 MeV RFQ and a 20 MeV DTL. This work is related to the combined beam dynamics study of the low energy proton accelerators in order to test the validity of the connection of the independently designed structures as well as to study the MEBT for beam transportation. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 37-1127 - Linear Optics Diagnostics and Vertical Emittance Optimization at the Pohang Light Source. Seunghwan Shin, Moohyun Yoon (POSTECH, Pohang, Kyungbuk), Eun-San Kim (PAL, Pohang) The vertical emittance increase reduces the brightness of the machine. The dominant sources of the vertical emittance are the both of vertical dispersion and x-y orbit coupling in the ring. A computer code LOCO (Linear Optics from Closed Orbit) was used to correct the gradient errors of the lattice at the PLS. (Pohang Light Source) With the corrected optics and SVD algorithms, Orbit and vertical dispersion are simultaneously corrected for the vertical emittance optimization. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 38-1128 - Optimization Studies on BEPCII Future Pre-injector with Two SHBs Shilun Pei, Pengda Gu, bo liu, Shu-hong Wang (IHEP Beijing, Beijing) The BEPCII future pre-injector consists of a thermionic gun followed by two subharmonic bunchers (SHB), a travelling wave prebuncher and a travelling wave buncher. All components downstream of the gun are immersed in a solenoid field for transverse focusing. Beam dynamics simulation and optimization have been carried out with programs PARMELA and EGUN. SHBs' bunching voltage and bunching drift distance, prebuncher and buncher's phase and acceleration gradient, and solenoid field profile have been studied. The bunch charge limitation for 10 ps bunch length at the buncher exit is also investigated. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 39-1159 - Measurement of Linear Lattice Functions in the ESRF Storage Ring Using Turn-by-turn Data Yannis Papaphilippou, Laurent Farvacque (ESRF, Grenoble), Stephanie-Louise Bailey (The College of William and Mary, Williamsburg) A model-independent method to measure linear optics functions has been tested in turn-by-turn data from the ESRF storage ring. This method does not necessitate neither the knowledge of the machine's optics model nor magnetic element manipulation. It uses only the positions measured in consecutive BPMs of betatron oscillations issued by small transverse kicks. The phase advances and tunes necessary to construct the transfer matrices are issued by refined Fourier analysis. The method's precision is compared with classical methods such as response matrix analysis and beam matrix construction. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 40-1178 - Online Calculation of the Beam Trajectory in the HERA Interaction Regions Frank Brinker (DESY, Hamburg) During the HERA luminosity upgrade the new super conducting mini beta quadrupoles have been placed inside the experiments for final focussing and separation of the lepton and proton beams. The synchrotron radiation of up to 12 kW produced in these magnets passes through the detector and is absorbed behind the experiments. In order to avoid background events from synchrotron radiation it is a mandatory to adjust precisely the beam trajectory before and inside the detector. A procedure has been developed to calculate the trajectory in the interaction regions. With a beam-based alignment the offsets of the beam with respect to the quadrupoles is measured. From this measurement the offsets of the quadrupoles and of the beam position monitors are fitted. With the knowledge of these offsets the trajectory of the beam is calculated with high precision. The display of the trajectory is online available as an operational tool for beam steering and background optimization. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 41-1192 - Dispersion Correction in HERA Joachim Keil, Winfried Decking (DESY, Hamburg) The electron-proton collider HERA at the DESY laboratory in Hamburg has been in operation since 1991. After the luminosity upgrade of HERA in 2001 the control of the horizontal and vertical dispersion function of the positron beam became more important than before. Deviations from the design dispersion in the horizontal plane can change the emittance of the electron beam significantly thus leading to a reduction of the luminosity. For optimizing the polarization of the electron beam the reduction of vertical orbit and dispersion deviations is important. In this paper the combined dispersion and orbit correction in HERA is described and first results are reported. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 42-1195 - Measuring and Adjusting the IP Betafunctions in RHIC. Walter Wittmer, Frank Zimmermann (CERN, Geneva), Angelika Drees, Fulvia Caterina Pilat, Johannes Van Zeijts (BNL, Upton, Long Island, New York) The beta- functions at the IP can be adjusted without perturbation of other optics functions via several approaches. In this paper we describe a scheme based on a vector knob, which assigns fixed values to the different tuning quadrupoles and scales them by a common multiplier. The values for the knob vector were calculated for a lattice without any errors using MADX. Previous studies for the LHC have shown that this approach can meet the design goals. A specific feature of the RHIC lattice is the nested power supply system. To cope with the resulting problems a detailed response matrix analysis has been carried out and different sets of knobs were calculated and compared. The knobs are tested at RHIC during the 2004 run and preliminary results maybe discussed. Simultaneously a new approach to measure the beam sizes of both colliding beams at the IP, based on the tune ability provided by the knobs, was developed and tested. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 43-1200 - Calculating LHC Tuning Knobs using Various Methods. Walter Wittmer, Daniel Schulte (CERN, Geneva) By measuring and adjusting the beta-functions at the IP the luminosity is being optimized. In LEP this was done with the two closest doublet magnets. This approach is not applicable for the LHC due to the asymmetric lattice and common beam pipe through the triplet magnets. To control and change the beta-functions quadrupole groups situated on both sides further away from the IP have to be used where the two beams are already separated. The quadrupoles are excited in specific linear combinations, forming the so-called tuning knobs for the IP beta-functions. We compare the performance of such knobs calculated by different methods: (1) matching in MAD, (2) inversion of the re-sponse matrix and singular value decomposition inversion and conditioning and (3) conditioning the response matrix by multidimensional minimization using Hessian method. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 44-1272 - Deflection Element for S-LSR Masahiro Ikegami, Hicham Fadil, Akira Noda, Toshiyuki Shirai, Takeshi Takeuchi, Mikio Tanabe (ICR Kyoto, Kyoto), Hiromu Tongu (ICR/NSRF, Kyoto), Koji Noda, Hirotsugu Ogawa, Shinji Shibuya (NIRS, Chiba-shi) Main lattice of the ion storage and cooler ring, S-LSR is composed of 6 dipole and 12 quadrupole magnets. The maximum magnetic field, the radius of curvature and gap height are 0.95 T, 1050 mm and 70 mm, respectively. The field measurement of the dipole magnets has been completed with use of Hall-probe position controlled by driving mechanism composed of stepping motors and ball-screws. In order to cancel out the momentum dispersion, the radial electric field is superposed with the magnetic field. The radial electric field is applied by the electrodes installed into the vacuum vessel set inside the rather limited gap of the dipole magnet. Good field quality is to be realized with use of intermediate electrodes. In the present paper, the results of the magnetic field measurements are presented together with the design of the superposed electric field. Supported financially by Advance Compact Accelerator Development of Ministry of Education, Culture, Sports, Science and Technology Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 45-1315 - Measuring Local Gradient and Skew Quadrupole Errors in RHIC IRs Javier Fernando Cardona, Steve Peggs, Fulvia Caterina Pilat, Vadim Ptitsyn (BNL, Upton, Long Island, New York) The measurement of local linear errors at RHIC interaction regions using an "action and phase" analysis of difference orbits has already been presented [*]. This paper evaluates the accuracy of this technique using difference orbits that were taken when known gradient errors and skew quadrupole errors were intentionally introduced. It also presents action and phase analysis of simulated orbits when controlled errors are intentionally placed in a RHIC simulation model. Department of Energy and Colciencias * J. Cardona, S. Peggs, T. Satogata, F. Pilat and V. Ptitsyn,"Determination of Linear and Non Linear Components in RHIC Interaction Regions from difference Orbit Measurements", EPAC 2002, Paris, 2002, p.311-313. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 46-1351 - LOCO Based Modell Analysis at DELTA Marc Grewe, Detlev Schirmer, Gerald Schmidt, Klaus Wille (DELTA, Dortmund) DELTA is a 1.5 GeV electron storage ring with a complex but versatile magnet lattice including 3 families of dipoles and 78 quadrupoles grouped into 25 families. Together with 56 external sextupole yokes, the machine lattice resembles a rather tight packing. The inherent twofold symmetry breaks with certain insertion devices turned on. Applying the LOCO algorithm, the condition number for quadrupole gradient variation alone typically ranges around 2x10^7 and above. Previous attempts to match a theoretical model with experimental data failed to generate a self consistent model. More elaborate attempts include a careful analysis of solutions corresponding to small singular values. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 47-1354 - Orbit Stability Issues at the Brazilian Synchrotron Light Source Lin Liu, Ruy H.A. Farias, Lucia Cabral Jahnel, Pedro Tavares (LNLS, Campinas) In this report we describe orbit stability problems that appeared in the LNLS electron storage ring after the installation of a new RF cavity during the last machine shutdown. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 48-1366 - Design of the Proton Beam Line for the Trade Experiment Concetta Ronsivalle, Luigi Picardi (ENEA C.R. Frascati, Frascati (Roma)) The TRADE (Triga Accelerator Driven Experiment)experiment, to be performed in the TRIGA reactor of the ENEA-Casaccia centre consists in the coupling of a 140-300 MeV, 0.5 mA proton beam produced by a cyclotron to a target hosted in the central thimble of the reactor scrammed to sub-criticality. A 30 m long beamline has been designed to transfer the beam injecting it from the top of the pool with special care of having low losses in TRIGA building where a limited shielding of the line is possible. A particular attention was paid to reduce the number and size of elements in the last part of the beamline that are immersed in the pool's water. The paper presents a description of the beam line, the design criteria and the results of beam dynamics calculations. The work was performed in the frame of an international working group on the TRADE experiment including ENEA(Italy), CEA(France),CERN (Switzerland),ANSALDO(Italy),FZK(Germany),DOE( USA),CIEMAT(Spain),CNRS(France),JRCITU(EU),PSI(Switzerland),AAA(France),AI Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 49-1368 - Achieving Beam Quality Requirements for Parity Experiments at Jefferson Lab Yu-Chiu Chao (Jefferson Lab, Newport News, Virginia) Measurement of asymmetry between alternating opposite electron polarization in electron-nucleon scattering experiments can answer important questions about nucleon structures. Such experiments impose stringent condition on the electron beam quality, and thus the accelerator used for beam creation and delivery. Of particular concern to such ?parity? experiments is the level of correlation between beam characteristics (orbit, intensity) and electron polarization that can obscure the real asymmetry. This can be introduced at the beam forming stage, created due to scraping, or not damped to desired level due to defective transport. Suppression of such correlation thus demands tight control of the beam line from cathode to target, and requires multi-disciplined approach with collaboration among nuclear physicists and accelerator physicists/engineers. The approach adopted at Jefferson Lab includes reduction of correlation source, improving low energy beam handling, and monitoring and correcting global transport. This paper will discuss methods adopted to meet the performance criteria imposed by parity experiments, and ongoing research aimed at going beyond current performance. U.S. DOE Contract No DE-AC05-84-ER40150 Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 50-1386 - Normal Form Analysis of Linear Beam Dynamics in a Coupled Storage Ring Mark Woodley, Tor Raubenheimer (SLAC/NLC, Menlo Park, California), Andrzej Wolski (LBNL/AFR, Berkeley, California) The techniques of normal form analysis, well known in the literature, can be used to provide a straightforward characterization of linear betatron dynamics in a coupled lattice. Here, we consider both the beam distribution and the betatron oscillations in a storage ring. We find that the beta functions for uncoupled motion generalize in a simple way to the coupled case. Defined in the way that we propose, the beta functions remain well behaved (positive and finite) under all circumstances, and have essentially the same physical significance for the beam size and betatron oscillations as in the uncoupled case. Application of this analysis to the online modeling of the PEP-II rings is also discussed. Work supported by the U.S. Department of Energy under contracts DE-AC03-76SF00098 and DE-AC03-76SF00515 Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 51-1415 - Simple Analytic Formulae for the Properties of Nonscaling FFAG Lattices Shane Rupert Koscielniak (TRIUMF, Vancouver), Michael Craddock (UBC & TRIUMF, Vancouver, British Columbia) A hallmark of the "non-scaling" FFAG lattices recently proposed for neutrino factories and muon colliders is that a wide range of momentum is compacted into a narrow radial band; dL/L is of order 10^(-3) for dp/p of order unity. This property is associated with the use of F0D0 or FDF triplet lattices in which the F magnet provides a reverse bend. In this paper simple analytic formulae for key lattice properties, such as orbit displacement and path length as a function of momentum, are derived from thin-element models. These confirm the parabolic dependence of pathlength on momentum observed with standard orbit codes, reveal the factors which should be adjusted to minimize its variation, and form a useful starting point for the thickelement design (for which analytic formulae are also presented). A key result is that optimized doublet, F0D0 and triplet cells of equal length and phase advance have equal path-length performance. Finally, in the context of a 10-20 GeV/c muon ring, the thin-element formulae are compared against lattice optical properties computed for thick-element systems; the discrepancies are small overall, and most discernible for the triplet lattices. TRIUMF receives funding via a contribution agreement through the National Research Council of Canada Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 52-1420 - Orbit Response Matrix Analysis applied at PEP-II Christoph Steier, Andrzej Wolski (LBNL/AFR, Berkeley, California), Stanley Ecklund, Peter Tenenbaum (SLAC, Menlo Park, California), Gerald Yocky (SLAC/AD, Menlo Park, California), James Leslie Turner (SLAC/ARDB, Menlo Park, California), Tor Raubenheimer ( Beam-based techniques to study lattice properties have proven to be a very powerful tool to optimize the performance of storage rings. The analysis of orbit response matrices has been used very successfully to measure and correct the gradient and skew gradient distribution in many accelerators. The first applications were mostly in synchrotron light sources, but the technique is also used increasingly at colliders. It allows determination of an accurately calibrated model of the coupled machine lattice, which then can be used to calculate the corrections necessary to improve coupling, dynamic aperture and ultimately luminosity. At PEP-II, the Matlab version of LOCO has been used to analyze coupled response matrices for both the LER and the HER. The large number of elements in PEP-II and the very complicated interaction region present unique challenges to the data analysis. The orbit response matrix analysis will be presented in detail, as well as results of lattice corrections based on the calibrated machine model. This work was supported by the U.S. Department of Energy, under Contract No. DE-AC03-76SF00098 and DE-AC03-76SF00515 Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 53-1424 - Magnetized Beam Transport in Electron Coolers with Opposing Solenoid Fields Jorg Kewisch, Christoph Montag (BNL, Upton, Long Island, New York) To improve cooling capability of electron coolers magnetized beams in strong solenoid fields are used. Too avoid betatron coupling in the ion coupling compensation is required. For the RHIC electron cooler we propose a scheme consisting of two identical solenoids with opposing fields, connected by a quadrupole matching section that preserves the electron beam magnetization. Since the fringe fields of the individual magnets overlap, the matching section can not be designed with standard optics codes. We developed an optimization code based on particle tracking instead. Input for the program are the simulated/measured field maps of the magnets. We demonstrate that the transverse temperature of the electron beam does not increase. Work performed under the auspices of the U.S. Department of Energy Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 54-1453 - Aperture Studies for the AP2 Anti-proton Line at Fermilab Ina Reichel (LBNL/CBP, Berkeley, California), Keith Gollwitzer, Steve Werkema (Fermilab, Batavia, Illinois), Massimo Placidi, Michael Zisman (LBNL, Berkeley, California) The AP2 beamline transports anti-protons from the production target to the Debuncher ring. In the past the observed aperture has been smaller than that estimated from linear, on-energy optics. We have investigated possible reasons for the aperture limitation and have identified possible sources, including residual vertical dispersion from alignment errors and chromatic effects due to very large chromatic lattice functions. Some experiments have already been performed to study these effects. We present results of the experimental and theoretical studies and possible remedies. This work was supported by the U.S.Department of Energy under Contract No. DE-AC03-76SF00098 Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 55-1536 - Lattice Design of Large Acceptance FFAGs for the PRISM Project Akira Sato (Osaka University, Osaka), Shinji Machida (KEK, Ibaraki) In order to realize a super muon beam that combines high-intensity, low-energy, narrow energy-spread and high purity, the PRISM project has been proposed. In this project, a FFAG ring is used as a phase rotator. In this paper, a method of designing the PRISM-FFAG lattice will be described. The PRISM-FFAG has to have both of large transverse acceptance and large momentum acceptance to achieve high intensity. Furthermore, long straight sections to install RF cavities are required to obtain a high surviving ratio of the muon. Therefore, the PRISM-FFAG requires its magnets to have large aperture and small opening angle. In such magnets, not only nonlinear effects but also magnetic fringing field are important to study the beam dynamics of FFAGs. Although using realistic 3D magnetic field maps made with programs such as TOSCA is the best solution to study the FFAG dynamics, it takes long time to make such field maps. On a design process of the PRISM-FFAG, quasirealistic 3D magnetic field maps, which are calculated applying spline interpolation to POISSON 2D field, were used to study the beam dynamics. A program based on GEANT3.21 was used for particle tracking. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 56-1622 - The Comparison with the Finger Focus and the Normal Lens by the OPERA-3D Kazuo Yamamoto, Toshinori Mitsumoto, Masahiro Okamura (RIKEN, Saitama) We calculated electric field between drift tubes with fingers by means of the simulation soft OPERA-3D. There will be focus field by the fingers like RFQ linac and also have high acceleration field like DT linac. We compared with the finger focus and the normal magnetic lens focus and it will be reported the advantage of the finger focus in some energy region. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 57-1644 - Synthesis of Beam Lines with Necessary Properties Serge Andrianov (St. Petersburg State University, St. Petersburg) In this paper an author discusses an approach to the problem of synthesis of beam lines. Usually this problem can be overcome by the use of numerical simulation and optimal control theory methods. But this results in sufficiently great number of variable parameters and functions. Obviously, that this degrades quality of modeling procedure. The suggested approach is demonstrated on a problem of microprobe design problem. Essence of the problem is that necessary to design a high precision focusing system which satisfies the additional conditions. For this purpose we use an algebraic treatment based on Lie algebraic methods and computer algebra codes. The used approach allows overlaid beam properties stultified to enough simple conditions on control parameters and functions. This allows us to build a set of desired solutions and show results in the most favourable form. Moreover, this approach decreases the number of variable parameters. Russian Foundation for Basic Research Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 58-1742 - Heavy Ion Beam Transport in Plasma Channels Stephan Neff, R. Knobloch (TU Darmstadt, Darmstadt), Christoph Niemann, Dan Penache, Andreas Tauschwitz (GSI, Darmstadt), Dieter Hoffmann (GSI, Darmstadt; TU Darmstadt, Darmstadt), Simon Yu (LBNL, Berkeley, California) The transport of heavy ion beams in high current discharge channels is a promising option for the final beam transport in a heavy ion fusion reactor. The channel provides space-charge neutralization and an azimuthal magnetic field of several tesla, thereby allowing for transporting high current ion beams. The possibility to heat the hohlraum target with only two ion beams simplifies the reactor design significantly. Therefore channel transport is studied as part of the US fusion reactor study as an alternative to neutralized ballistic focusing. We have created 1 m long discharge channels and studied the channel development and stability. In addition, we have carried out proof-ofprinciple transport experiments using the UNILAC facility at the Gesellschaft für Schwerionenforschung. The experiments demonstrate the feasibility of plasma channel transport. Our transport experiments with low current beams are supplemented by simulations for high current beams. These simulations show the possibility of transporting particle currents of up to 60 kA. Type of presentation requested: Poster Classification: [D01] Beam Optics - Lattices, Correction Schemes, Transport 59-236 - Nonlinear Beam Dynamics Study with MATLAB Yuri Lawrent Martirosyan, Michael Ivanyan, Davit Kalantaryan, Vasili Mkrtich Tsakanov (CANDLE, Yerevan) In this paper, we present description of MATLAB based computer code, which allows tracking of single particles by numerical integration of Hamilton's equations. For storage rings the damping time is of the order of few ms (102 '104 turns) and therefore the short-term stability time is determinant. For this reason symplecticity condition of the tracking method for the electron machines is not as important as in hadron machines. Applying recently introduced modern tools for post process analyzing, such as interpolated FFT, early indicators for long term stability, the determination of the onset of chaotic behavior using the maximal Lyapunov exponent, and etc, one can carry out simulations to evaluate the dynamic aperture, amplitude dependent tunes, phase space distortions, nonlinear resonances etc. The proposed code is applied for beam nonlinear dynamics study in CANDLE storage ring. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 60-269 - Beam-beam Simulations for the Electron-ion Collider eRHIC Christoph Montag (BNL, Upton, Long Island, New York) The electron-ion collider eRHIC currently under study at BNL consists of a 10 GeV electron storage ring to be added to the existing RHIC complex to study collisions of polarized electrons and relativistic heavy ions or polarized protons. To achieve high luminosities in the range of several 10^32 cm^-2 sec^-1, beam-beam tuneshift parameters of up to 0.08 are required for the electron beam. Simulation studies are performed to study the feasibility of these high tuneshift parameters. Recent results of these studies are presented. Work performed under the auspices of the U.S. Department of Energy Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 61-275 - A Test Suite of Space-charge Problems for Code Benchmarking Andreas Adelmann (PSI, Villigen), Ji Qiang, Robert D Ryne (LBNL/CBP, Berkeley, California) A set of problems is presented for benchmarking beam dynamics codes with space charge. As examples, we show comparisons using the IMPACT, MaryLie/IMPACT, and MAD9P codes. The accuracy and convergence of the solutions as a function of solver algorithms, simulations parameters such as number of macro particles, grid size, etc. are studied. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 62-363 - Beam Loss Modeling for the SIS100 Giuliano Franchetti, Ingo Hofmann (GSI, Darmstadt) In long term storage dynamic aperture is typically regarded as the quantity which has to be maintained sufficiently large in order to prevent beam loss. In the SIS100 of the GSI future project, a beam size occupying a large fraction of the beam pipe is foreseen. This circumstance requires a careful description of the lattice magnetic imperfections. The dynamic aperture is estimated in relation with an optimization of the SIS100 working point. For a spacecharge-free bunched beam, estimates of beam loss are computed and compared with dynamic aperture. The impact of space charge will be discussed, and preliminary results on its effect on dynamic aperture and beam loss are presented. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 63-429 - Towards DAFNE Nonlinear Model Mikhail Zobov, David Alesini, Maria Biagini, Caterina Biscari, Alessandro Drago, Susanna Guiducci, Catia Milardi, Miro Preger, Pantaleo Raimondi, Cristina Vaccarezza (INFN/LNF, Frascati (Roma)), Evgeny Levichev, Pavel Piminov (BINP, Novosibirsk) Intensive numerical and experimental study of the beam nonlinear dynamics is continuously pursued in order to provide a reliable description of the DAFNE rings nonlinear elements. Localized orbit bumps, beam decoherence and chromaticity measurements have been performed and compared to the predictions of the model. The effectiveness of the second order chromaticity correction by means of octupoles has been checked by measuring the tune shift dependence on the RF frequency. Numerical simulations based on the updated model have been used for the dynamic aperture optimization. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 64-431 - Beam Loading in the RF Deflector of the CTF3 Delay Loop David Alesini, Fabio Marcellini (INFN/LNF, Frascati (Roma)) In this paper we describe the impact of the beam loading in the RF deflectors on the transverse beam dynamics of the CTF3 Delay Loop. The general expression for the single passage wake field is obtained. A dedicated tracking code has been written to study the multi-bunch multi-turn effects on the transverse beam dynamics. A complete analysis for different machine parameters and injection errors is presented and discussed. The numerical simulations show that the beam emittance growth due to the wake field in the RF deflectors is small. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 65-471 - Beam-Beam Effects Measured Using Gated Monitors at KEKB Takao Ieiri, Yoshihiro Funakoshi, Takashi Kawamoto, Mika Masuzawa, Masafumi Tawada, Makoto Tobiyama, Su Su Win (KEK, Ibaraki) KEKB is a multi-bunch, high-current, electron/positron collider for B meson physics. The two beams collide at one interaction point (IP) with a finite horizontal crossing angle and with a bunch-space of 6 to 8 ns. The luminosity of KEKB is the best in the world. The collision is performed by carefully adjusting a horizontal orbit bump of the electron beam at IP, which results in a horizontal offset to obtain the best luminosity. In order to investigate the asymmetric beam-beam effects, beam parameters of collision and non-collision bunches were compared using beam monitors capable of selecting a specific bunch in a bunch train. The beam-beam kick and the beam-beam tune-shift were obtained by the gated beam-position monitor and by the gated tune monitor. It was found that the horizontal offset was negligibly small in the case of a wide bunch-space of 48 ns. This result suggests that the horizontal offset is related to wake fields including electron-cloud effects. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 66-476 - Numerical Studies of the Impact of the Separation Dipoles and Insertion Quadrupoles Field Quality on the Dynamic Aperture of the CERN LHC Massimo Giovannozzi, Oliver Sim Bruning, Stephane David Fartoukh, Thys Risselada, Frank Schmidt (CERN, Geneva) A wide range of magnets, both warm and superconducting, will be used in the LHC. In addition to main dipoles, quadrupoles are used to focus the beam in regular arcs. Special dipoles separate or merge the two beams in insertion regions. A few very strong superconducting quadrupoles squeeze the beam to achieve the required luminosity, while warm quadrupoles are used in the collimation insertions. At injection the main dipoles largely dominate beam dynamics, but contributions from smaller classes of magnets should not be neglected. Peculiar optical configurations may dramatically enhance beam dynamics effects of few magnetic elements. This paper will focus on the effect of insertion quadrupoles, e.g. wide-aperture, and warm quadrupoles, as well as separation dipoles presenting on the dynamic aperture of the LHC machine. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 67-480 - Advances on Measurements on Multi-turn Extraction Based on Trapping in Stable Islands at CERN Proton Synchrotron Massimo Giovannozzi, Roberto Cappi, Michel Martini, Elias Metral, Akira Sakumi, Rende Richard Steerenberg (CERN, Geneva), Anke-Susanne M&#252;ller (FZK-ISSANKA, Karlsruhe) Recently a novel approach to perform multi-turn extraction was proposed based on beam splitting in the transverse phase space by means of trapping inside stable islands. During the year 2002 run, preliminary measurements at the CERN Proton Synchrotron with a low-intensity, singlebunch, proton beam, confirmed the possibility of generating various beamlets starting from a single Gaussian beam. The experimental campaign continued also in the year 2003 run to assess a number of key issues, such as feasibility of trapping with high-intensity beam, capture efficiency, and multi-turn extraction proper. The experimental results are presented and discussed in detail in this paper. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 68-483 - Nonlinear Dynamics Studies at the CERN Proton Synchrotron: Precise Measurements of Islands Parameters for the Novel Multi-turn Extraction Massimo Giovannozzi, Paolo Scaramuzzi (CERN, Geneva) Recently, a novel approach to perform multi-turn extraction from a circular accelerator was proposed. It is based on adiabatic capture of particles into islands of transverse phase space generated by nonlinear resonances. Sextupole and octupole magnets are used to generate these islands, while an appropriate slow variation of the linear tune allows particles to be trapped inside the islands. Intense experimental efforts showed that the approach is indeed performing rather well. However, good knowledge of the islands properties is a key ingredient for the success of this extraction type. In this paper, a series of measurements are presented dealing with the study of islands' parameters for the fourth-order resonance, such as detuning with amplitude, fixed points' position, betatron frequency, as well as detuning with amplitude inside the islands. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order Work supported by CNPq, Brazil * R. Pakter and F. B. Rizzato, Phys. Rev. Lett., 87, 044801 (2001) Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 69-531 - Betatron Resonance Studies at the CERN PS Booster by Harmonic Analysis of Turn-by-turn Data Peter Ursch&#252;tz, Michael Benedikt, Christian Carli, Michel Chanel, Frank Schmidt (CERN, Geneva) High brightness and high intensity beams are required from the PS Booster for LHC, CNGS and ISOLDE operation. The large space charge tune spreads associated with these beams, especially at injection, require an optimized resonance compensation scheme to avoid beam blow-up and subsequent beam losses. For this a detailed knowledge on strength and phase of resonance driving terms is needed. A new measurement system has been installed to determine resonance driving terms from turn-by-turn bpm data using fast Fourier transform. The multi-turn acquisition system as well as the specific measurement conditions at the PS Booster are discussed. As an example, the measurement and compensation of the linear coupling resonance driving term is presented. Excellent agreement between measurement and simulation for resonance phase and strength was found. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 71-538 - Measurement and Compensation of Second and Third Order Resonances at the CERN PS Booster Peter Ursch&#252;tz (CERN, Geneva) Space charge effects at injection are the most limiting factor for the production of high brightness beams in the CERN PS Booster. The beams for LHC, CNGS and ISOLDE feature incoherent tune spreads exceeding 0.5 at injection energy and thus cover a large area in the tune diagram. Consequently these beams experience the effects of transverse betatron resonances and efficient compensation is required. Several measurements have been performed at the PS Booster in 2003, aiming at a detailed analysis of all relevant second and third order resonances and an optimisation of the compensation scheme. Special attention was paid to the systematic 3Qy=16 resonance. To avoid this particularly dangerous resonance an alternative working point was tested. A comparison of resonance driving terms and compensation settings for both working points was made and important differences in the strengths of the resonances were found. The peculiarities when measuring third order coupling resonance driving terms are also mentioned. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 70-534 - Parameter Depedence of the New Regions of Stability for Periodically Focused Particle Beams Renato Pakter, Jorge da Silva Moraes, Felipe Rizzato (IF-UFRGS, Porto Alegre), Chiping Chen (MIT/PSFC, Cambridge, Massachusetts) The understanding of the physics of intense beams in periodically focusing systems is crucial for the development of several advanced particle accelerator applications, as well as applications in basic science. In this paper we perform a comprehensive analysis of the transport of periodically focused particle beams within the new regions of stability recently found [*] for focusing fields strengths corresponding to vacuum phase advances well above the 90 degrees threshold. We investigate the stability as a function of the relevant parameters of the system, namely, the beam intensity and the focusing field profile. An analytic model is developed to show the existence of gap bifurcations in the system, which may leave the beam envelope phasespace absent of closed orbits. Stability of the beam transport against both axisymmetric and non axisymmetric perturbations is considered. Selfconsistent numerical simulations are used to verify the findings. 72-562 - Nonolinear Evolution of the Beam in Phase Space at Elettra Simone Di Mitri, Lidia Tosi (ELETTRA, Basovizza, Trieste) Phase space in the Elettra storage ring has been investigated. The beam is kicked and the coordinates of the bunch centroid are acquired for at least 1000 turns. A Hilbert transform has been used to deduce the evolution of beam phase space from position coordinates. Several nonlinear effects have been detected, such as the amplitude dependence of the betatron tune, the presence of high order and coupling resonances. Fixed points have been evidenced as well as the behaviour of the beam in their neighbourhood. Scans in lifetime versus tune confirm the limiting effect of the observed resonances on the region of regular motion. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 73-592 - Measurement of Multipole Strengths from RHIC BPM Data Rogelio Tomas, Mei Bai, Wolfram Fischer (BNL, Upton, Long Island, New York), Andrea Franchi, Giovanni Rumolo (GSI, Darmstadt) Recently resonance driving terms were successfully measured in the CERN SPS and the BNL RHIC from the Fourier spectrum of BPM data. Based on these measurements a new analysis has been derived to extract multipole strengths.In this paper we present experimental measurements of sextupolar and skew quadrupolar strengths carried out at RHIC. Also discussed is the possibility of a non-destructive measurement using an AC dipole. Work performed under the auspices of the US Department of Energy Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 74-599 - Separatrix Formalism for Superconducting Linear Accelerators Yurij Senichev, Alexander Bogdanov, Rudolf Maier (FZJ/IKP, Jülich) Super-conducting cavities provide high accelerating gradient in linear accelerators. However, it is desirable to have a constant geometry of the accelerating cells in order to simplify manufacturing. Such geometry leads to a non-synchronism. A separatrix formalism has been developed for a super-conducting linear accelerator based on a model of stationary separatrixes overlapping, and an effective separatrix, moving together with a quasi-synchronous particle. This formalism is applied to two cases: either the phase velocity changes from cavity to cavity, or the phase velocity is constant for cavities, belonging to one family. Solving Hamiltonian equations, it is shown qualitatively and quantitatively, how the quasisynchronous phase velocity has to be adjusted either by a stepped phase velocity, or by a stepped RF phasing in order to minimize the effect of non-synchronism in the first or the second case. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 75-618 - Experiments on LHC Long-range Beambeam Compensation in the CERN SPS Frank Zimmermann, Jean-Pierre Koutchouk, Jorg Wenninger (CERN, Geneva) Long-range beam-beam collisions may limit the dynamic aperture and the beam lifetime in storage-ring colliders. Their effect can be compensated by a currentcarrying wire mounted parallel to the beam. A compensation scheme based on this principle has been proposed for the Large Hadron Collider (LHC). To demonstrate its viability, a prototype wire was installed at the CERN SPS in 2002. First successful machine experiments explored the dependence of beam loss, beam size, and beam lifetime on the beam-wire distance and on the wire excitation. They appear to confirm the predicted effect of the long-range collisions on the beam dynamics. In 2004, two further wires will become available, by which we can explicitly demonstrate the compensation, study pertinent tolerances, and also compare the respective merits of different beam-beam crossing schemes for several interaction points. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 76-650 - Frequency Map Measurements at BESSY Peter Kuske, Olaf Dressler (BESSY GmbH, Berlin) With two dedicated diagnostic kicker magnets and a turnby-turn, bunch-by-bunch beam position monitor frequency maps were measured under various operating conditions of the BESSY storage ring. Depending on the number and type of insertion devices in operation additional resonances show up. Details of the experimental setup as well as the data analysis are presented. The results will be compared with theoretical calculations which are based on the linear model of the storage ring lattice extracted from measured response matrices. Non-linear elements are added to the model in order to describe the effect of the strong sextupole magnets, the horizontal corrector magnets installed in these magnets, and of some of the insertion devices. Work funded by the BMBF and the Land Berlin Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 77-671 - Non-linear RF Bucket of NewSUBARU due to the Higher order Momentum Compaction Factor Yoshihiko Shoji (JASRI/SPring-8, Hyogo) Linear and higher order terms of the momentum compaction factor of NewSUBARU were estimated from the measurements. The linear term was estimated from the shift of horizontal COD to the RF frequency. Higher order terms were estimated from the shift of synchrotron oscillation frequency to the RF frequency. The RF bucket in the user operation, calculated from these data, was not symmetric for dE/E>0 and dE/E<0 because of the higher order momentum compaction factor. It disabled the use of full physical acceptance of the ring. We will report an improvement of Touschek beam lifetime by reducing the higher order momentum compaction factor. Hyogo prefecture Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 78-674 - Nonlinear field Effects in the JPARC Main Ring Alexander Yu. Molodojentsev, Shinji Machida, Yoshiharu Mori (KEK, Ibaraki) Main Ring (MR) of the Japanese Particle Accelerator Research Complex (JPARC) should provide acceleration of the high-intensity proton beam from the energy of 3GeV to 50 GeV. The expected beam intensity is 3.3e14 ppp and the repetition rate is about 0.3 Hz. The imaginary transition lattice of the ring was adopted, which has the natural linear chromaticity about (-30) for both transverse phase planes. The expected momentum spread of the captured particles before the acceleration is less than 0.007. Two independent families of the chromatic sextupole magnets are use to eliminate the linear chromatic tune shift. This chromatic sextupole field nonlinearity will excite the normal 'octupole' resonances and will lead to the amplitude dependent tune shifts in both transverse phase planes. Additional sextupole magnets are planed to excite the third-order horizontal resonance, which will be used for the slow extraction. Incoherent tune shift of the low-energy proton beam is about (-0.16) so that some particles could cross nearest low-order resonances. Optimization of the 'bare' working point of MR at the injection energy has been performed to minimize the influence of the linear coupling and high-order coupling resonances. Excitation of the linear coupling resonance has been introduced by the realistic misalignment errors adopted for MR. The 'bare' working point during the slow extraction has been analyzed. The influence of the normal sextupole resonances on the large amplitude particle behavior at the scraper location has been studied including random sextupole field component of the MR bending magnets. Realistic distortion of the ideal ring super-periodicity by the injection kicker magnets has been included in the tracking procedure for the on- and off-momentum particles. Finally, correction schemes have been considered for most dangerous resonances around the optimized 'bare' working point. The space-charge effects of the proton beam have not been included in this study. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 79-691 - Computer Simulation of Equilibrium Electron Beam Distribution in the Proximity of 4th Order Single Nonlinear Resonance Tzong-Shyan Ueng, Chin-Cheng Kuo (NSRRC, Hsinchu), Alex Chao (SLAC, Menlo Park, California) The beam distribution of particles in an electron storage ring is distorted in the presence of nonlinear resonances. A computer simulation is used to study the equilibrium distribution of an electron beam in the presence of 4th order single nonlinear resonance. The results are compared with that obtained using an analytical approach by solving the Fokker-Planck equation to first order in the resonance strength. The effect of resonance on the quantum lifetime of electron beam is also compared and investigated. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 80-706 - Beam Dynamics Study for PETRA III Including Damping Wigglers Winfried Decking, Yongjun Li (DESY, Hamburg) Damping wigglers will be installed in the storage ring PETRA III to control the beam emittance to 1 nmrad. These wigglers will produce linear and nonlinear perturbations on beam dynamics. A new expanded transport matrix method is developed to solve linear dynamics, and used to match linear lattice functions. The symplectic method is adopted to track particle through the whole ring including the damping wigglers. Halbach?s formulae are used to describe the wiggler field. The main parameters of the wigglers are derived from field calculations. In order to avoid dangerous resonances, tune scanning is implemented to find suitable working points. According to presently known field quality, the nonlinear effects of damping wigglers will not degrade the performance of PETRA III and the dynamic aperture is still larger than the physical aperture. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 81-732 - Dynamic Aperture Reduction from the Dodecapole Component in the LHC Main Quadrupoles and its Mechanism. Alessandra Maria Lombardi, Oliver Sim Bruning, Stephane David Fartoukh, Thys Risselada, Frank Schmidt, Andre Verdier (CERN, Geneva) The systematic dodecapole component in the Main Quadrupoles of the LHC lattice has a strong influence on the machine dynamic aperture at injection. In this paper we quantify this effect with the help of tracking studies, explain the mechanism for the loss in dynamic aperture and look into potential correction schemes. Finally, we provide an estimate for the maximum allowed systematic dodecapole component in the MQ Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 82-737 - Measurement of Skew Quadrupole Strengths from BPM Data at GSI SIS-18 Andrea Franchi, Markus Kirk, Peter Moritz, Giovanni Rumolo (GSI, Darmstadt), Rogelio Tomas (BNL, Upton, Long Island, New York) In the SIS-18 of GSI a new set of skew quadrupoles has been installed to improve the multi-turn-injection. A new method based on the measurement of the resonance driving terms has been proposed to cross-check the nominal values and polarities of their gradients. Once a beam is transversely kicked, it experiences oscillations whose spectrum contains both the betatron tune line and secondary lines. The amplitude of each line is proportional to the strength of the multipoles, such as skew quadrupoles and sextupoles, present in the lattice. In this paper a recursive algorithm to derive the magnet strength from the spectral lines and the application of this method to the eight skew quadrupoles in the SIS-18 are presented. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 83-747 - Optimization of Beam Dynamics in Discrete Systems Elena Dmitrievna Kotina (St. Petersburg State University, St. Petersburg) In this paper new approach to optimization of beam dynamics in discrete systems is considered. Dynamics of synchronous particle and dynamics of ensembles of charged particles are optimized simultaneously. We consider this problem as the non-standart problem of the theory of optimal control in discrete systems. This problem of control of particular trajectory and ensembles of trajectories (beams of trajectories)had been investigated under various criteria of quality. The method of solving of this problem is proposed. This method is applied to optimization of the motion of charged particles in the drift-tube linear accelerator. This work was supported by the Russian Fund of Fundamental Research, project 03-01-00726 Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 84-753 - Longitudinal Resonances and Emittance Growth Using QWR/HWR Cavities in a Linac Patrick Bertrand (GANIL, Caen) In the frame of the SPIRAL II project at GANIL, we present an analytical approach allowing us to understand in a simple way the longitudinal behaviour of a beam , transmitted in bunching mode or accelerated in a Linac designed with QWR or HWR cavities. In particular, we make appear the strong relationship with the Henon map properties. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 85-764 - Influence of Beam Tube Obstacles on the Emittance of the PITZ Photoinjector Stefan Setzer, Wolfgang Ackermann, Thomas Weiland (TEMF, Darmstadt) For detailed analysis of space charge dominated beams inside an RF Photoinjector PIC-Codes like MAFIA TS2/3 can be used. While the interaction of particles with the sourrounding geometries are taken into account, the applicability of such codes is restricted due to simulation time and memory consumption as well as by numercial noise. Therefore only smaller sections of the whole injector can be calculated. On the other hand codes like ASTRA can be used to simulate the whole injector but no interaction between bunch and geometry is included. To make use of the individual advantages of each code discribed above an interface for bidirectional bunch exchange between the two programs has been implemented. This approach allows for applying the right simulation method depending on the physical effects under investigation. To demonstrate the importance of such an approach the results of detailed numerical studies of the impact of beam tube obstacles like the laser mirror on the achievable emittance of the PITZ RF Photoinjector further downstream will be presented. S.Setzer: Work supported by DFG under contract GRK 410/3 W. Ackermann: Work supported by DESY Hamburg Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 86-767 - On Beam Dynamics Optimization Dimitri Ovsyannikov (St. Petersburg State University, St. Petersburg) Mathematical optimization methods are widely used in designing and construction of charged particle accelerators. In this paper new approach to beam dynamics optimization is considered. Suggested approach to the problem is based on the analytical representation for variation of examined functionals via solutions of special partial differentional equations. The problem of optimization is considered as a problem of mutual optimization chosen synchronous particle motion and charged particles beam at whole. This approach was applied to the beam dynamics optimization for RFQ structures. This work was supported by the Russian Foundation for Fundamental Researhes, project 03-01-00726 Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 87-787 - Performance of the TU/e 2.6 Cell Rf-photogun in the 'Pancake' Regime Bas van der Geer, Jom Luiten (TUE, Eindhoven), Marieke de Loos (PP, Soest), Gisela P&#246;plau (Rostock University, Rostock) The 2.6 cell rf-photogun currently in operation at Eindhoven University of Technology has been designed as a booster for a 2 MeV semi-DC accelerator with a field of 1 GV/m. In this paper we present GPT simulation results of the TU/e gun, operated without its pre-accelerator, in the low-charge short-pulse regime. The main part of the paper describes detailed calculations of bunch lengthening due to pathlength differences and space-charge effects, making use of high-precision field-maps and the newly developed 3D mesh-based space-charge model of GPT. It is shown that with the present set-up bunches can be produced that are well suited for injection into a planned experiment for controlled acceleration in a plasma-wakefield accelerator. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 88-797 - New Vortices in Axisymmetric Beams in Nonuniform Magnetic Field Yurii Golub (MRTI RAS, Moscow) We analyzed localized vortices in non-neutral inhomogeneous by density and velocity electron beams propagating in vacuum along the nonuniform external magnetic field. These vortices distinguish from vortices, which investigated in [*,**], because of nonuniform external magnetic field. Also new types of vortex are obtained by new solution method of nonlinear equations*. The new method is development of a method described in [**]. That method distinguish from standard LarichevReznik or Reznik method, which used in [*]. It has been found new expression for electric field potential of vortex in a wave frame. The expression is axisymmetric in a wave frame. New vortices are new solitons in the nonuniform external magnetic field. * Golub Yu.Ya., Nikulin M.G., Rozanov N.E. In: Nonlinear world: IV Intern. Workshop on Nonlin. and Turbul. Proc. in Phys., (ed. by V.G. Bar'yakhtar et all) World Scientific Publishing Co. Pte. Ltd., Singapore, 1990, vol. 2, p.857 ** Golub Yu.Ya., Proc Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 89-821 - Symplectic Renormalization Group Reduction of Maps Stephan Ivanov Tzenov (Universita' degli Studi di Salerno, Baronissi) Based on the Renormalization Group (RG) method, a reduction procedure preserving the symplecticity of originally symplectic maps is proposed. It utilizes the method of canonical transformations applied to discrete dynamical systems, which automatically assures the symplecticity of the reduced RG map. A few important examples such as the Henon map and polynomial maps of higher order are worked out in detail. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 90-852 - Stochastic Behaviour of Nonlinear Maps Stephan Ivanov Tzenov (Universita' degli Studi di Salerno, Baronissi) The Frobenius-Perron operator is used to study the evolution of the density distribution for nonlinear symplectic maps. An evolution operator map is derived in explicit form, which is further applied to calculate the diffusion coefficient for a general nonlinear twodimensional map. As an example a few important cases are analyzed in detail. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 91-865 - Beam Loss Studies in High-intensity Heavy-ion Linacs Peter Ostroumov, Vladislav Aseev, Eliane Schnirman Lessner, Brahim Mustapha (ANL/Phys, Argonne, Illinois) A low beam-loss budget is an essential requirement for high-intensity machines and represents one of their major design challenges. In a high-intensity heavy-ion machine, losses are required to be below 1 W/m for hands-on-maintenance. The driver linac of the Rare Isotope Accelerator (RIA) is designed to accelerate beams of any ion to energies from 400 MeV per nucleon for uranium up to 950 MeV for protons with a beam power of up to 400 kW. The high intensity of the heaviest ions is achieved by acceleration of multiplecharge-state beams, which requires a careful beam dynamics optimization to minimize effective emittance growth and beam halo formation. For beam loss simulation purposes, large number of particles must be tracked through the linac. Therefore the computer code TRACK [P.N. Ostroumov and K.W. Shepard, PRST AB 11, 030101 (2001)] has been parallelized and calculations is being performed on the JAZZ cluster [*] recently inaugurated at ANL. This paper discusses how this powerful tool is being used for simulations for the RIA project to help decide on the high-performance and cost-effective design of the driver linac. Work supported by the U. S. Department of Energy under contract W-31-109-ENG-38 * The Jazz Cluster, http://www.lcrc.anl.gov/jazz Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 92-889 - Higher Order Hard Edge End Field Effects J. Scott Berg (BNL, Upton, Long Island, New York) In most cases, nonlinearities from magnets must be properly included in tracking and analysis to properly compute quantities of interest, in particular chromatic properties and dynamic aperture. One source of nonlinearities in magnets that is often important and cannot be avoided is the nonlinearity arising at the end of a magnet due to the longitudinal variation of the field at the end of the magnet. Part of this effect is independent of the shape of the end. It is lowest order in the body field of the magnet, and is the result of taking a limit as the length over which the field at the end varies approaches zero. This is referred to as a hard edge" end field. This effect has been computed previously to lowest order in the transverse variables. This paper describes a method to compute this effect to arbitrary order in the transverse variables, under certain constraints. The results of using this hard edge model are compared with performing the computation with finite-length end fields, as well as to the lowest-order hard-edge end field model. This research has been supported by the U.S. Department of Energy under contract no. DE-AC02-98CH10886 Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 93-891 - Magnetic Field Expansions J. Scott Berg (BNL, Upton, Long Island, New York) In many simulation and analysis applications, it is necessary to have magnetic fields which satisfy Maxwell's equations over some finite volume. This is achieved by specifying some subset of the field information, and using Maxwell's equations to find an expression for the fields everywhere in some volume. Two possible expansions are known as a midplane expansion and a multipole expansion. This paper specifies these expansions precisely and demonstrates the differences between them. In particular, a precise definition of a multipole expansion in a curvilinear coordinate system is given. This research has been supported by the U.S. Department of Energy under contract no. DE-AC02-98CH10886 Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 94-892 - Momentum Compaction Factor and Nonlinear Dispersion at the ANKA Storage Ring Anke-Susanne M&#252;ller, Asem BenKalefa, Ingrid Birkel, Erhard Huttel, Francisco Perez, Montserrat Pont (FZK-ISSANKA, Karlsruhe) The ANKA electron storage ring operates in the energy range from 0.5 to 2.5 GeV. In order to improve machine performance a precise modelling of linear and nonlinear optics is mandatory. Apart from higher order chromaticity also momentum compaction factor and dispersion have to be controlled. In this framework, the higher order momentum compaction factor has been determined exploiting the extraordinary precision of the resonant spin depolarisation method. Furthermore the nonlinear horizontal dispersion was measured as a function of the momentum deviation for different chromaticities. This paper discusses the experimental results and compares the findings to different simulations. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 95-954 - Specific Beam Dynamics in Super-bunch Acceleration Yoshito Shimosaki, Yoshio Arakida, Eiji Nakamura, Ken Takayama, Masayoshi Wake (KEK, Ibaraki), Kunio Koseki (GUAS/AS, Ibaraki), Kota Torikai (Kyushu University, Fukuoka), Masao Watanabe (RIKEN, Saitama), Kazuhiko Horioka, Mitsuo Nakajima (TIT, Yokohama) Proof-of-principle experiments on the induction synchrotron concept using the KEK 12-GeV PS makes progress, in which RF bunches and a super-bunch will be accelerated with a long step voltage generated in the induction accelerating gaps. In order to give a guide for super-bunch acceleration, the beam stabilities against a droop and a fluctuation of the accelerating voltage have been examined by using a simulation. The droop voltage gives an additional focusing or defocusing force in the longitudinal direction, which leads the mismatching beyond the transition energy. Furthermore, the extremely slow fluctuation of the accelerating voltage causes a lowest-order resonance near the transition. These induce a serious emittance blow-up in the longitudinal, so that the compensating manners will be presented. Moreover, the other issues such as head-tail instability and intra beam scattering will be discussed. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 96-983 - Performance of the Non-linear Interaction Region Correction in RHIC Fulvia Caterina Pilat, Severino Binello, Peter Cameron, Wolfram Fischer, Yun Luo, Vadim Ptitsyn, Rogelio Tomas (BNL, Upton, Long Island, New York) The non-linear corrector layers in the triplets next to the high luminosity interaction points in RHIC have been used in RHIC operations. Local sextupoles and octupoles were set by minimizing the tune shifts versus IR bump amplitude, using a dedicated control room application, which includes order-by-order fitting and plotting. The operational corrections are compared to dead-reckoned predictions derived from measured field harmonics in the IR triplets. The RHIC offline model has been used to evaluate the effect of operational and dead-reckoned corrections, and to compare beam quantities to experimental observations. Measurable quantities that we used to assess the non-linear performance of the machine are tune shifts versus IR bump amplitude, beam lifetime, dynamic aperture, and tune spread. Work supported by U.S. DOE under contract No DE-AC0298CH10886 Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 97-984 - Dynamic Aperture Predictions and Measurements in RHIC Fulvia Caterina Pilat, Nikolay Malitsky, Vadim Ptitsyn, Steven Tepikian (BNL, Upton, Long Island, New York) With RHIC achieving now operational maturity, more attention has been devoted in 2004 to beam experiments characterizing the machine non-linear behavior. A method of measuring dynamic aperture by increasing the transverse emittance with continuous tune meter kicks has been developed and tested. The ionization profile monitor (IPM) capability of bunch-by-bunch measurement allows us to effectively use different bunches for measurements in different machine configurations. We present dynamic aperture measurements for the blue and yellow rings at store energy and for the high luminosity optics (b*=1m) and compare results at different working points, momentum deviation, and interaction region corrector configurations. The 2004 b*=1m data are compared to dynamic aperture results from 2003 with b*=2m. The experimental results are also compared with recent dynamic aperture prediction for the 2004 optics configuration from the RHIC offline model to assess our present understanding of the machine model itself. Work supported by U.S. DOE under contract No DE-AC0298CH10886 Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 98-993 - Lattice Studies for CIRCE (Coherent InfraRed CEnter) at the ALS Hiroshi Nishimura, David Robin, Fernando Sannibale, Weishi Wan (LBNL, Berkeley, California) CIRCE (Coherent InfraRed Center) at the Advanced Light Source is a proposal for a new electron storage ring optimized for the generation of coherent synchrotron radiation (CSR) in the terahertz frequency range. One of the main requirement for this special mode of operation is the capability of the ring of operating at very small momentum compaction values. In this regime, the longitudinal dynamics becomes strongly nonlinear and an accurate control of the higher order energy dependent terms of the momentum compaction is necessary. The lattice for CIRCE allows controlling these terms up to the third order. The paper describes the lattice and presents the calculated performances in terms of momentum acceptance, dynamic aperture, lifetime and momentum compaction tune capabilities. Work supported by the U.S. Department of Energy under Contract No. DE-AC03-76SF00098 Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 99-1041 - Fast Methods for Vlasov-Poisson Dynamics Michael G. Zeitlin, Antonina N. Fedorova (RAS/IPME, St. Petersburg) A fast and efficient numerical-analytical approach is proposed for modeling the complex nonlinear collective behaviour in the various forms of the generalized Vlasov-Poisson systems. We compare our approach with previous ones, e.g. nonlinear delta F simulation and PIC modeling and demonstrate its advantages. As the particular limiting cases of our construction we have standard KV and Klimontovich distributions. The solutions are represented via the multiscale decomposition in nonlinear high-localized eigenmodes (generalized Gluckstern modes), which corresponds to the full multiresolution expansion in all underlying hidden phase space scales. In contrast with different approaches we do not use perturbation technique or linearization procedures. Fast scalar/parallel modeling demonstrates the appearance of the high-localized (asymptotically stable) coherent structures/patterns (waveletons) in these spatiallyextended stochastic systems with complex collective behaviour. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 100-1045 - Zoo of Patterns in Complex VlasovMaxwell Dynamics Michael G. Zeitlin, Antonina N. Fedorova (RAS/IPME, St. Petersburg) An exact variational/projection approach is proposed for modeling the complex collective behaviour and the propagation of the intense charged particle beams described by different forms of Vlasov-Maxwell equations. We give representations for distribution functions and fields via the multiscale/multiresolution decomposition corresponding to exact expansions into the slow and fast nonlinear high-localized eigenmodes providing the full information about stochastic dynamical process. Numerical modeling shows the creation of different internal structures from localized modes, which are related to stable/unstable type of behaviour and the corresponding patterns (waveletons) formation. Reduced algebraical structure provides the pure algebraical control of stability/unstability scenario. Various types of patterns (chaotic and localized) are controlled in space of parameters. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 101-1098 - Field Measurements in the AGS Warm Snake Junpei Takano, Toshiyuki Hattori, Masahiro Okamura (RIKEN, Saitama), Rodulfo Alforque, Richard Belkin, George Ganetis, Animesh Kumar Jain, Waldo MacKay, Thomas Roser, Richard Thomas, Joseph Tuozzolo (BNL, Upton, Long Island, New York) A new warm snake has been produced for avoiding the transverse coupling resonance in the Alternating Gradient Synchrotron (AGS) at Brookhaven National Laboratory (BNL). The warm snake is the world?s first normal conducting helical dipole partial snake which has a double pitch structure to allow spin rotation with no net beam offset or deflection with a single magnet. The warm snake is 2.6m long, and has a field of 1.5 Tesla for a 9 degrees spin rotation. The pitches, current density, and shims were optimized by using OPERA_3D / TOSCA. The magnetic field harmonics have been measured using a system of 51 mm long, 34 mm radius tangential coils. The axial variation of the dipole field angle agrees very well with the calculations, indicating no significant construction errors. However, the measured transfer function shows a discrepancy of 4% which may be caused by BH-curve differences, deformation of the iron and packing factor of the laminations. To correct the beam trajectory the operating current was adjusted and shims were installed on the end plates. These optimization studies, and comparison with measurements, will be shown. RIKEN Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 102-1104 - Frequency Map Analysis with the Insertion Devices at ELETTRA Lidia Tosi, Simone Di Mitri (Sincrotrone Trieste S.C.p.A., Basovizza, Trieste), Guimin Liu (SSRF, Shanghai) Frequency map analysis is a very efficient technique for the understanding of the resonances which may affect the stability of the electrons. Measurements correlated to simulations can provide a method to improve beam lifetime and injection efficiency that is particulary important in the case of top up operation. In this paper, the results of frequency map measurements and simulations for the ELETTRA storage ring are presented both for the bare lattice as well as for the case in which insertion devices are operational. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 103-1154 - Experimental Frequency Maps for the ESRF Storage Ring Yannis Papaphilippou, Laurent Farvacque, Eric Plouviez (ESRF, Grenoble), Charalampos Skokos (Academy of Athens, Athens), Jacques Laskar (IMCCE, Paris) Experimental frequency maps have already revealed many unknown characteristics of the ESRF storage ring non-linear dynamics. In the past year, several efforts were undertaken in order to establish this technique as an operational on-line tool. The acquisition time was significantly reduced by collecting data from a dedicated fast BPM system. The problem of beam decoherence was limited by establishing a method for accurate tune determination in a small number of turns, using the information from all the BPMs around the ring. The possibility to explore the off-momentum dynamics by exciting the beam, with synchronous transverse and longitudinal kicks was also investigated. Finally, measurements of resonance driving term amplitudes and phase advances were used to identify the efficiency of resonance corrections. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 104-1157 - A Study of Transverse Resonance Crossing in FFAG Masamitsu Aiba (University of Tokyo, Tokyo), Shinji Machida, Yoshiharu Mori (KEK, Ibaraki) A study of "resonance crossing" in FFAG accelerator is described in this paper. A deviation of FFAG guiding field in actual magnet breaks zero chromaticity condition, and tunes cross resonance while acceleration. In order to avoid a critical beam loss or emittance growth, nominal tune should be chosen so as not to cross low-order resonances. However, crossing higher order resonance can be critical and that depends on the parameters such as crossing speed, excitation magnitude and initial beam emittance. We will present analytical model and simulation study in various parameter space. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 105-1168 - Status Report on the Beam Dynamics Developments for the SPIRAL 2 Project Romuald Duperrier, Didier Uriot (CEA/DSM/DAPNIA, Gif-sur-Yvette), Nicolas Pichoff (CEA/DAM, Bruyères-le-Châtel), Patrick Bertrand, Franck Varenne (GANIL, Caen), Jean-Luc Biarrotte (IPN, Orsay), Jean-Marie De Conto (ISN, Grenoble), Emmanuel Froidefond (LPS The driver for the SPIRAL 2 project aims to accelerate a 5 mA D+ beam up to 20 A.MeV and a 1 mA beam for Q/A=1/3 up to 14.5 A.MeV. It operates in a continuous wave regime (cw), is designed for a maximum efficiency in the transmission of intense beams. Recent studies have led to change the reference design. The current design consists in an injector (ECR sources + LEBTs with the possibility to inject from several sources + a Radio Frequency Quadrupole) followed by a superconducting section based on an array of independently phased cavities where the transverse focalisation is performed by warm quadrupoles. This paper presents the beam dynamics studies associated to these new choices, the HEBT design and the fast chopping in the MEBT. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 106-1170 - The IFMIF High Energy Beam Transport Line Didier Uriot, Romuald Duperrier (CEA/DSM/DAPNIA, Gif-sur-Yvette), Jacques Payet (CEA/CEN, Gif-sur-Yvette) The IFMIF project (International Fusion Materials Irradiation Facility) requests two linacs designed to accelerate 125 mA deuteron beams up to 40 MeV. The linac has to work in CW mode and uses one RFQ and 10 DTL tanks. After extraction and transport, the deuteron beams with strong internal space charge forces have to be bunched, accelerated and transported to target for the production of high neutron flux. This paper presents the high energy beam transport line which provides a flat rectangular beam profile on the liquid lithium target. Transverse uniformisation is obtained by using non-linear mutipole lenses (octupoles and duodecapoles). Beam dynamics with and without errors has been study. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 107-1179 - 2-nd Order Sextupole Effects on the Dynamic Aperture in HERA-e Mathias Vogt (DESY, Hamburg) During the first year after the luminosity upgrade HERA-e was operated in a mode for which the accessible area in transverse tune space was determined by resonances driven by sextupoles in 2-nd order. It turned out that with typical total incoherent beam beam tune shifts (.05,.08) for 2 IPs this space was too small for stable operation. We have used 2-nd order canonical perturbation theory to analyze the impact of the increased sextupole strengths in the upgraded lattice on the relevant resonance strengths and the detuning. Moreover, we have studied whether it is possible to compensate the resonances with localized octupole schemes (6 or 9 independent magnets) to 1-st and 2-nd order, computed the resulting detuning and compared the results with 6D tracking. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 108-1185 - Lattice Studies For The MAX-IV Storage Rings Hamed Tarawneh, Mikael Eriksson, Lars-Johan Lindgren, Sverker Werin (MAX-lab, Lund), Bengt Anderberg (AMACC, Uppsala), Erik Jan Wall&#233;n (ESRF, Grenoble; MAX-lab, Lund) The lattice for the future MAX-IV storage rings at MAXLab has been studied, The MAX IV facility consists of two similar rings operated at 1.5 GeV and 3 GeV electron energies, The ring consists of 12 supercells each built up by 5 unit cells and matching sections. The high periodicity of the lattice combined with the high gradients in the small gap dipole magnets yield a small emittance of 1 nm.rad, good dynamic aperture and momentum acceptance. In the matching section, a soft end dipole magnet is introduced to reduce the synchrotron radiation power hitting the upstream straight section. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 109-1204 - Non Linear Beam Dynamics and Lifetime on the SOLEIL Storage Ring Pascale Brunelle, Alexandre Loulergue, Amor Nadji, Laurent Stanislas Nadolski (SOLEIL, Gif-sur-Yvette) The incidence of several non-linear effects on the energy acceptance and beam lifetime has been investigated, using the BETA and TRACY II tracking codes. The effect of all magnets multipolar components has been checked on the working point (18.20; 10.30), especially the decapolar component induced by the H-corrector. The dipolar field, which is created by additional coils in the sextupoles, generates a significant decapolar component which, associated to the distributed dispersion, can reduce significantly the dynamic acceptance at large energy deviations. This effect depends on the natural closed orbit to be corrected: corrector strengths and cross talk between the different decapolar components. Moreover, the sensitivity to the number of correctors, used for correction, has been evaluated. The effect of insertions devices has also been studied, integrating field maps generated by the RADIA code into the tracking codes. With undulators, such as an in-vacuum U20 and an Apple II type HU80 (with different polarization modes), it was shown that the transverse field in-homogeneity and the focusing effects generating beta-beat can affect severely the energy acceptance and the beam lifetime because of resonance excitation. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 110-1207 - General Performances of the Injection Scheme into the SOLEIL Storage Ring Marie-Agn&#232;s Tordeux (SOLEIL, Gif-sur-Yvette) The injection scheme of the electron beam into the Storage Ring of the SOLEIL synchrotron is presented. It corresponds to the new SOLEIL optics : 12 meter long straight section, 2.75 GeV energy, with in addition the requirement for top-up injection mode. Pulsed magnets are described, and in particular the passive septum magnet, the transverse position of which can be adjusted so as to optimise the Touschek beam Lifetime. Tracking of particles has been performed over a large number of turns, taking into account the magnet errors, the high chromaticities and the physical apertures all along the machine (limited vertical apertures due to low gap undulators). Statistical efficiency of the injection has been deduced. Specific requirements for top-up injection have been examined, such as the closure of the injection bump, the residual vertical field and the leakage fields from septa. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 111-1263 - Optimal Control Theory for Solving the Vlasov-Maxwell Equations Vladimir Fotievich Zadorozhny (NASU/IOC, Kiev) A new approach to a nonlinear bunched beam dynamics based on the Vlasov-Maxwell equations and optimal control systems. First of all, it?s necessary to point out the fundamental property of Maxwell equation which is essential for us. It?s establish that there exist electric and magnetic fields which can realized any motion beam is given beforehand. Thus we resolved the problem of the self-focused and acceleration particle beam as some mathematical aspect of optimal control theory with given criterion. This approach can be regards as a development of the known algorithm of R. Davidson. This reasoning yields the following main steps: 1.We have Vlasov distribution function so that the conditions for the given transport are satisfies. The one may be the acceleration, density of current, value of focus, so on. 2. The idea is to look at as the optimal control problem here we find distribution function and dispersion waves. Now we can construct a beam density and current density thus there exist such fields E and H which provide of a beam according the low of a fixed motion. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 112-1311 - Building Truncated Taylor Maps with Mathematica with Applications to FFAG Dobrin Kaltchev (TRIUMF, Vancouver) Lie algebra tools coded directly in Mathematica have been used to compute the off-momentum closed orbit and momentum compaction of Fixed Field Alternating Gradient (FFAG) lattices proposed for muon acceleration. The sample FFAG cell considered consists of quadrupoles and alternating gradient magnets. A high order Taylor map is needed, valid over a wide momentum range. This paper emphasizes on the Mathematica operators needed to create and concatenate individual element maps (presented as Lie exponential operators). The speed achieved is inferior to the differential algebra method (COSY). One benefit is that Mathematica allows all results to be tested by direct numerical integration of the equations of motion. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 113-1323 - Non-linear Modeling of the RHIC Interaction Regions Rogelio Tomas, Wolfram Fischer, Animesh Kumar Jain, Yun Luo, Fulvia Caterina Pilat (BNL, Upton, Long Island, New York) For RHIC's collision lattices the dominant sources of transverse non-linearities are located in the interaction regions. The field quality is available for most of the magnets in the interaction regions from the magnetic measurements, or from extrapolations of these measurements. We discuss the implementation of these measurements on the MADX models of the Blue and the Yellow rings and their impact on beam stability. Work performed under the auspices of the US Department of Energy Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 114-1358 - Non Linear Error Analysis from Orbit Measurements in SPS and RHIC Javier Fernando Cardona, Rogelio Tomas (BNL, Upton, Long Island, New York) Recently, an "action and phase" analysis of SPS orbits measurements proved to be sensitive to sextupole components intentionally activated at specific locations in the ring. In this paper we attempt to determine the strenght of such sextupoles from the measured orbits and compare them with the set values. Action and phase analysis of orbit trayectories generated by RHIC models with non linearities will also be presented and compare with RHIC experiments. Department of Energy and Colciencias Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 115-1450 - Dynamical Maps for Combined Solenoid, Dipole and Quadrupole Fields Andrzej Wolski (LBNL/AFR, Berkeley, California), Marco Venturini (LBNL, Berkeley, California) The interaction regions of colliders invariably include strong solenoid fields. Where quadrupoles and dipoles are embedded in the solenoid, the beam dynamics in the combined fields can be complicated to model using the traditional approach of interleaving slices of different fields. The complexity increases if the design trajectory is offset from the magnetic axis; this is the case, for example, in PEP-II. In this paper, we present maps for combined solenoid, dipole and quadrupole fields that provide a much simpler alternative to the traditional approach, and show that the deviation of the design trajectory from the magnetic axis can be handled in a straightforward manner. We illustrate the techniques presented by reference to the PEP-II interaction region. DOE contract no. DE-AC03-76SF00098 Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 116-1473 - Single Particle Linear and Non-linear Dynamics Yunhai Cai (SLAC, Menlo Park, California) I will give a comprehensive review of existing particle tracking tools to assess long-term particle stability for small and large accelerators in the presence of realistic magnetic imperfections and machine misalignments. The emphasis will be given to the tracking and analysis tools based upon the differential algebra, Lie operator, and "polymorphism". Using these tools, a uniform linear and non-linear analysis will be outlined as an application to the normal form. Finally I will compare simulation results with observations in existing circular accelerators. "Model independent analysis" will be treated as an example for measuring machine optics. This work was supported by the Department of Energy under Contract No. DE-AC03-76SF00515 Type of presentation requested: This is an Invited Oral Presentation Classification: [D02] Non-linear Dynamics Resonances, Tracking, Higher Order 117-1522 - Installation Strategy for the LHC Main Dipoles Stephane David Fartoukh (CERN, Geneva) All positions in the LHC machine are not equivalent in terms of beam requirements on the geometry and the field quality of the main dipoles. In the presence of slightly or strongly out-of tolerance magnets, a welldefined installation strategy will therefore contribute to preserve or even optimize the performance of the machine. In view of present state of the production, we have anticipated a list of potential issues (geometry, transfer function, field direction and random b3) which, combined by order of priority, have been taken into account to define a robust installation algorithm for the LHC main dipoles. Among the different possible strategies, the proposed one has been optimised in terms of simplicity and flexibility in order not to slow down and complicate the installation process. Its output is a prescription for installing the available dipoles in sequence while reducing to an absolute minimum the number of holes required by geometry or field quality issues. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 118-1643 - Problems of Conservative Integration in Beam Physics Serge Andrianov (St. Petersburg State University, St. Petersburg) In this paper some approaches to conservative integration methods development are discussed. This problem is very important for beam physics: from beam line synthesis up to long time evolution simulation. This approach is based on consistent usage of invariants and symmetries information. For this purpose on the first level we find or apply dynamical invariants and symmetries, which should guarantee the necessary properties. A researcher receives as a result some set of special conditions for system parameters (including in symbolic forms). Then these conditions are included to integration scheme. This procedure looks like to symplectification procedure for numerical schemes (e.g. the well known Runge-Kutta scheme). In this way an investigator uses the so called kinematic invariants and symmetries ideology. In our case one obtain a possibility taking into account the dynamical properties which inhere (or should inhere) to the system under study. The suggested approach is demonstrated on some practical problems of beam physics. Type of presentation requested: Poster Classification: [D02] Non-linear Dynamics - Resonances, Tracking, Higher Order 119-125 - Experimental Results of the Small Isochronous Ring Jose Alberto Rodriguez, Felix Marti, Richard York (NSCL, East Lansing, Michigan), Eduard Pozdeyev (Jefferson Lab, Newport News, Virginia) The Small Isochronous Ring (SIR) has been in operation since December 2003. The main purpose of this ring, developed and built at the National Superconducting Cyclotron Laboratory (NSCL) at Michigan State University (MSU), is to simulate the dynamics of intense beams in large accelerators. To observe the same effects, the beam power needed in SIR is orders of magnitude lower and the time scale is much longer than in the full scale machines. These differences simplify the design and operation of the accelerator. The ring measurements can be used to validate the results of space charge codes. After a variable number of turns, the injected hydrogen bunch (with energies up to 30 keV) is extracted and its longitudinal profile is measured using a fast Faraday cup. We present a summary of the design, the results of the first six months of operation and the comparison with selected space charge codes. Work supported by NSF Grant # PHY-0110253 Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 120-149 - Clearing of Electron Cloud in SNS with Solenoid and Electrode Lanfa Wang, Deepak Raparia, Jie Wei, S.Y. Zhang (BNL, Upton, Long Island, New York) In this paper we describe a mechanism using the clearing electrodes to remove the electron cloud in the Spallation Neutron Source (SNS) accumulator ring, where strong multipacting could happen at median clearing fields. A similar phenomenon was reported in an experimental study at Los Alamos laboratory's Proton Synchrotron Ring (PSR). We also investigated the effectiveness of the solenoid's clearing mechanism in the SNS, which differs from the short bunch case, such as in B-factories. work performed under the auspices of the U.S Deparment Energy Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 121-151 - Nonlinear Density Waves and Density Condensates in Space-Charge Dominated Beams Stephan Ivanov Tzenov, Salvatore De Martino, Mariarosaria Falanga (Universita' degli Studi di Salerno, Baronissi) Based on the Vlasov-Maxwell equations describing the self-consistent nonlinear beam dynamics and collective processes, the evolution of an intense sheet beam propagating through a periodic focusing field has been studied. In a previous paper, it has been shown that in the case of a beam with uniform phase space density the Vlasov-Maxwell equations can be replaced exactly by the hydrodynamic equations with a triple adiabatic pressure law coupled to the Maxwell equations. We further demonstrate that starting from the system of hydrodynamic and Maxwell equations a set of coupled nonlinear Schrodinger equations for the slowly varying amplitudes of density waves can be derived. In the case where a parametric resonance between a certain mode of density waves and the external focusing occurs, the slow evolution of the resonant amplitudes in the coldbeam limit is shown to be governed by a system of coupled Gross-Pitaevskii equations. Properties of the nonlinear Schrodinger equation as well as properties of the Gross-Pitaevskii equation are discussed, together with soliton and condensate formation in intense particle beams. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 122-240 - Non Gaussien Transverse Distributions in a Stochastic Model for Beam Halos Nicola Cufaro Petroni (INFN-Bari, Bari), Salvatore De Martino, Silvio De Siena, Fabrizio Illuminati (Universita' degli Studi di Salerno, Baronissi) The formation of the beam halo in charged particle accelerators is studied in a dynamical stochastic model for the collective motion of the particle beam. The density and the phase of the charged beam obey a set of coupled nonlinear hydrodynamic equations with time-reversal invariance. The linearized theory for this collective dynamics is given in terms of a classical Schroedinger equation. Self-consistent solutions with space-charge effects lead to quasi-stationary beam configurations with enhanced transverse dispersion and transverse emittance growth. In the limit of a frozen space-charge core it is possible to determine and study the properties of stationary, stable coreplus-halo beam distributions. We explore the effect of nonGaussian transverse distributions. In this case the underling stochastic process is allowed to jump, and the transverse distribution tails are heavier than in the Gaussian case giving rise to a halo effect. The stationary transverse distribution plays the role of an attractor for every other distribution, and we give an estimation of the time needed by a non stationary, halo-free distribution to relax toward the stationary distribution with a halo. Financial support: INFN (Istituto Nazionale di Fisica Nucleare) exp. HALODYST INFM (Istituto Nazionale per la Fisica della Materia) MIUR (Ministero dell'Istruzione, dell'Universita' e della Ricerca) Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 123-248 - Optical Stochastic Cooling for RHIC Vitaly Yakimenko, Ilan Ben-Zvi (BNL, Upton, Long Island, New York), Alexander Zholents (LBNL/AFR, Berkeley, California) We propose the use of an optical parametric amplifier, with a ~12-micron wavelength for optical-stochastic cooling of gold ions in the Relativistic Heavy Ion Collider (RHIC). While this amplifier has a bandwidth comparable to a Ti:Sapphire laser, it has a higher average output power. Its 12- micron wavelength is longer than that of the laser amplifiers previously considered for such an application. The longer wavelength permits a longer undulator period and higher magnetic field, thereby providing a larger signal from the pick-up undulator and ensuring a higher efficiency interaction in the kicker undulator, both essential elements in cooling moderately relativistic ions. The transition to longer wavelength also relaxes the requirements for stability of the path length during ion-beam transport between pickup undulator and kicker undulator. Experimental results of the optical amplifier test will be discussed. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 124-273 - Collective Effects and Instabilities in Space Charge Dominated Beams Jeffrey Alan Holmes (ORNL/SNS, Oak Ridge, Tennessee) Significant progress in the detailed computational study of collective beam dynamics is being driven by the spectacular increase in computer power. To take advantage of this, sophisticated physics models are being applied to ever more realistic and detailed situations, so that it is no longer necessary to restrict computer studies to highly idealized depictions of beam dynamics questions. This presentation will illustrate the application of a number of collective beam dynamics models to a range of accelerator physics problems in high intensity proton rings. In particular, we will consider the effects of space charge, transverse and longitudinal impedances, and electron cloud formation on beam parameters, stability, halo formation, collimation and losses, and possible equilibrium configurations. Examples will be taken from PSR, the CERN PS Ring, and SNS. SNS is managed by UT-Battelle, LLC, under contract DE-AC05-00OR22725 for the U.S. Department of Energy. SNS is a partnership of six national laboratories: Argonne, Brookhaven, Jefferson, Lawrence Berkeley, Los Alamos, and Oak Ridge Type of presentation requested: This is an Invited Oral Presentation Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 127-362 - Fast Space Charge Algorithm for an Ellipsoidal Bunch with Arbitrary Beam Sizes and Particle Distribution Giuliano Franchetti, Anna Orzhekovska (GSI, Darmstadt) For the GSI future project beam loss control of a high intensity bunched beam stored in SIS100 for 10^6 turns is an important issue. In a recent study (G. Franchetti et al., Phys. Rev. ST Accel. Beams 6, 124201 (2003)) an analytical space charge algorithm was proposed, which allowed noisefree calculations over a large number of turns. Here we present a generalization of this algorithm to arbitrary 3D dimensions and arbitrary distributions observing ellipsoidal symmetry. Applications to long-term tracking with space charge are presented Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 125-283 - Beam Dynamics Simulation in High Energy Electron Cooler Andrey Ivanov, Vitalij Panasyuk, Vasily Parkhomchuk, Vladimir Borisovich Reva (BINP, Novosibirsk) The article deals with electron beam dynamics in projected high energy electron cooler. Classical electrostatic scheme with several MeV electron energy is considered. The increase of transversal energy of electrons in an accelerating section, in bends and at the matching point of magnetic fields is calculated. In order to calculate beam behavior in bends with electrostatic compensation of centripetal drift new ELEC3D electro- and magnitostatic 3D code is developed. BEAM code is used for simulation of dynamics in an accelerating section. The methods of keeping low transversal energy are estimated. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 128-364 - Linear Coupling Theory of High Intensity Beams Applied to the SIS18 Giuliano Franchetti, Morteza Aslaninejad, Ingo Hofmann (GSI, Darmstadt), Alexander Bolshakov, Pavel Zenkevich (ITEP, Moscow) It is planned to use linear coupling in the SIS18 in order to fully or partially equilibrate the transverse emittances before transfer to the projected SIS100 synchrotron. In this paper we show that space charge significantly modifies the coupling mechanism. In particular the width of the stopband is dominated by the space charge tune shift for weak skew strength. The conditions are discussed, under which slow crossing of the coupling resonance leads to the desired goal of equalizing emittances while maintaining a sufficient matching of the beam to the ring and extraction optics. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 126-288 - Beam Dynamic Studies of the 72 MeV Beamline with a 'Super Buncher' Andreas Adelmann, Stefan Adam, Marco Pedrozzi, Jean-Yves Raguin, Pierre A Schmelzbach (PSI, Villigen) A significant increase of the beam intensity increase of the PSI 590 MeV proton accelerator facility above 2 mA requires a higher accelerating voltage in the main RF cavities. A corresponding increase of the voltage in the flattop cavity would result in a complete rebuild of this device. As an alternative, a scheme with a strong buncher in the 72 MeV beam transfer line is being studied. The goal is to restore the narrow phase width (~ 2 deg/RF at 50 MHz) of the beam bunches observed at extraction from Injector 2 at injection into the Ring Cyclotron. If we can find and inject a stable particle distribution, as done in the Injector 2, the flat-top cavity might eventually be decommissioned. First results of multi particle tracking in full 6 dimensional phase space with space charge are presented. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 129-403 - Beam Optic Transformation in a High Current Electron Cooling System Marina Dolinska, Nataliya Doroshko, Vladislav Olkchovskiy, Alexander Valkov (NASU/INR, Kiev), Alexei Dolinskii (GSI, Darmstadt; NASU/INR, Kiev) A ion beam optic transformation in a high energy electron cooling system with high electron current density is considered. An electron cooling section in a ring is treated as an additional focusing element deforming the beam optic functions due to space charge forces The transfer matrix, which can be implemented in different codes (such as MAD, MIRKO, SixTrack et al.) for precise calculation of the beam optic and dynamic aperture in storage rings, is derived. As an example, an optic of the High Energy Storage Ring (HESR) calculated by MAD code with derived matrix is given. The HESR is part of the GSI future project and planned for internal experiments with antiprotons at a maximum kinetic energy of 14.5 GeV. In this ring a high energy electron cooling system will be used to reach the high luminosity and energy resolutions. Knowing the focusing properties of the electron cooling section one can properly match the ring optic function with a cooling section keeping the stable beam properties in a ring. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 130-405 - UAL Implementation of a String-based Space Charge Formulation Richard Michael Talman (LEPP, Ithaca, New York), Nikolay Malitsky (BNL, Upton, Long Island, New York) By reformulating the force between point charges as the force on a point charge due to a co-moving line charge (or "string",) space charge calculations can be reformulated as intrabeam scattering, with no intermediate, particle-in-cell step required.[*] This approach is expected to be especially useful for calculating emittance dilution of ultrashort bunches in magnetic fields, where coherent radiative effects are important. This paper describes the partial implementation of this approach within UAL (Unified Accelerator Libraries.) The interparticle force is calculated and applied to the dynamics of a bunch represented by just two superparticles in an idealized lattice, with emphasis on the head-tail effect. Gridding of the interparticle force, as needed for realistic multiparticle simulation, is also described. U.S. National Science Foundation and U.S. Department of Energy * R. Talman, "String Formulation of Space Charge Forces in a Deflected Bunch". Submitted to PRSTAB, January, 2004 Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 131-425 - Laser Cooling of Electron Bunches in Compton Storage Rings Eugene Victor Bulyak (NSC/KIPT, Kharkov) Self-consistent dynamics of a bunch circulating in the Compton storage ring has been studied analytically. Disturbances from both the synchrotron and Compton radiations were taken into account. The emittances in laser-dominated rings (where the synchrotron energy losses are much smaller then the Compton ones) were evaluated. The resultant emittances (synchrotrons plus Comptons) were compared with the synchrotrons. As were shown, the longitudinal degree of freedom is heated up due to Compton scattering. Almost the same conclusion is valid for the vertical uncoupled betatron emittance. Since it is impossible in principle to get zero dispersion in the banding magnets, the radial emittance almost always cooling down by laser. Therefore in practical cases of coupled transverse oscillations with the horizontal emittance determining the vertical one, the laser will cool down the transverse degrees of freedom. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 132-438 - Dynamical Effects of the Montague Resonance Ingo Hofmann, Giuliano Franchetti (GSI, Darmstadt), Ji Qiang, Robert D Ryne (LBNL/CBP, Berkeley, California) In high-intensity accelerators emittance coupling, known as Montague resonance, may be an issue if the tune split is small. For static tunes within the stop-band of this fourth order space charge driven coupling the final emittances may become equal (equipartition). Using 2D computer simulation we show, however, that slow crossing of the resonance leads to merely an exchange of emittances. In 3D this is similar, if the crossing occurs over a time-scale shorter or comparable with a synchrotron period. For much slower crossing we find, instead, that the exchange may be suppressed by synchrotron motion. We explain this effect in terms of the mixing caused by the synchrotron motion. GSI Darmstadt Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 133-442 - Planar Electron Sources and the Electron Trap ELTRAP Marco Cavenago (INFN/LNL, Legnaro, Padova), Giovanni Bettega, Francesco Cavaliere, A. Illiberi, Roberto Pozzoli, Massimiliano Rome, Luca Serafini (INFN-Milano, Milano) Filamentation and other space charge effects (both transverse and longitudinal) of intense electron beams, found for example in rf photoinjectors (beam energy 1 MeV, current 100 A), are easily studied in small voltage traps and drift channels (0.01-10 kV), keeping the same perveance order. A suitable Malmberg-Penning trap, named ELTRAP, installed and operated at the University of Milan, is briefly described; trap length ranges from 10 cm to 1 m; an uniform magnetic field confines electron radially. Several experimental regimes were investigated with the internal CW planar electron source: plasma, beam-plasma, beam, depending on the injection/extraction method chosen. Evolution of electron vortices and virtual cathode formation is documented; analogy with meteorologic and astrophysical plasma is discussed. Upgrading with an external laser pulsed electron source is in course. Larger planar sources are also under construction. (Main classification 4: Beam Dynamics and Electro-magnetic Fields; D03 High Intensity, Incoherent Instabilities, Space Charge, Halos, Cooling; Other classification 8: Low and Intermediate Energy Accelerators and Sources; T12 Beam Injection/Extraction and Transport; T02 Lepton sources) INFM, MURST, Univ. Milano, INFN Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 134-482 - Space Charge Problem in Low Energy Superconducting Accelerator Nikita Vasyukhin, Yurij Senichev (FZJ/IKP, Jülich) At present the super-conducting option of linear accelerators is considered for low energy, and new type of RF cavities is considered for this purpose. However, together with electrodynamics problems we should solve the transverse stability problem, since in structures with external focusing elements the focusing period is longer, and in higher accelerating field the defocusing factor increases as well. In this paper we consider the transverse stability problem, taking into account the non-linear space charge problem. The fundamental mechanism of hallo creation in super-conducting linear accelerators is investigated to minimize the particle losses. The theoretical results are supported by numerical simulation. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 135-528 - High-intensity and High-density Chargeexchange Injection Studies into the CERN PS Booster at Intermediate Energies Michel Martini (CERN, Geneva), Christopher Prior (CCLRC/RAL/ASTeC, Chilton, Didcot, Oxon) For the high brilliance LHC ultimate beam and the high intensity CNGS beam, single batch injections into the CERN Proton Synchrotron (PS) will be used to increase the overall machine intensity compared with the present double batch injections. Charge-exchange injection into the PS Booster with a new linac at intermediate energies is thus examined. A key parameter to consider is the energy dependence of beam incoherent tune shifts at injection. Increasing the linac energy from the present 50 MeV to 160 MeV should yield a safer tune shift. For each PS Booster ring, a charge-exchange injection scheme is envisaged inside a proper straight section, redesigned with new bends to make a local bump and using the existing fast bump magnets for horizontal phase-space painting. ACCSIM simulations for charge-exchange injection at 160 MeV have been investigated for both LHC and CNGS beams. After optimizing the parameters that are used for the space charge tracking routines, the results of the simulations agree well with expectations, signifying that the LHC ultimate and CNGS beams may be provided with single PS Booster batches within the required emittances. For assessment, simulation of injection at 50 MeV for the current LHC beam has been performed, yielding a fairly good agreement with measured performance. Concurrently, similar chargeexchange injection simulations have been carried out using an alternative programme developed at the Rutherford Appleton Laboratory. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 136-546 - Beam Dynamics Challenges for Future Circular Colliders Frank Zimmermann (CERN, Geneva) The luminosity of circular colliders rises with the beam intensity, until some limit is encountered, mostly due to head-on and long-range beam-beam interaction, due to electron cloud, or due to conventional impedance sources. These limitations can be alleviated, if not overcome, by a proper choice of beam parameters and by dedicated compensation schemes. Examples include the alternating crossing at several interaction points, electromagnetic wires, super-bunches, electron lenses, clearing electrodes, and nonlinear collimation. I illustrate the benefit from such mitigating measures for the Tevatron, the LHC, the LHC Upgrade, the VLHC, the super e+e- factories, or other projects, and I describe related research efforts at FNAL, KEK, BNL and CERN. Type of presentation requested: This is an Invited Oral Presentation Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 137-568 - Capture Loss of the LHC Beam in the CERN SPS Elena Shaposhnikova, Thomas Bohl, Trevor Paul Linnecar, Joachim Tuckmantel (CERN, Geneva) The matched voltage of the LHC beam at injection into the SPS is 750 kV. However, even with RF feedback and feed forward systems in operation, the relative particle losses on the flat bottom for nominal LHC parameters with this capture voltage can reach the 30% level. With voltages as high as 2 MV these losses are still around 15% pushing the intensity in the SPS injectors to the limit to obtain nominal intensity beam for the LHC. Beam losses grow with intensity and are always asymmetric in energy (lost particles are seen main in front of the batch). The asymmetry can be explained by the energy loss of particles due to the SPS impedance which is also responsible for a non-zero synchronous phase on the flat bottom leading to large gaps between buckets. In this paper the measurements of the dependence of particles loss on the beam and machine parameters are presented and discussed together with possible loss mechanisms. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 138-652 - Injection Schemes for Self Consistent Space Charge Distributions Viatcheslav V. Danilov, Stuart Henderson, Jeffrey Alan Holmes, Michael Plum (ORNL/SNS, Oak Ridge, Tennessee), Sarah M. Cousineau (ORNL/ASD, Oak Ridge, Tennessee) This paper is based on recently found sets of self-consistent 2D and 3D time-dependent space charge distributions. A subset of these distributions can be injection-painted into an accumulator ring, such as Spallation Neutron Source Ring, to produce periodic space charge conditions. The periodic condition guarantees zero space-charge-induced halo growth and beam loss during injection. Practical aspects of such schemes are discussed, and simulations of a few specific cases are presented. Research sponsored by UT-Batelle, LLC, under contract no. DE-AC05-00OR22725 for the U.S. Department of Energy SNS is a partnership of six national laboratories: Argonne, Brookhaven, Jefferson, Lawrence Berkeley, Los Alamos, and Oak Ridge Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 139-654 - Rotating Electromagnetic Field Trap for High Temperature Plasma and Charge Confinement Viatcheslav V. Danilov (ORNL/SNS, Oak Ridge, Tennessee) This paper demonstrates that there exists a special combination of oscillating electromagnetic fields capable of trapping ultra high charge densities. Trapped particles undergo stable motion when their frequencies of oscillation are much higher than that of the ocillating field. Contrary to conventional electromagnetic traps, the motion in this dynamic trap is stable for arbitrarily high electromagnetic field amplitudes. This, in turn, leads to the possibility of using enormous electric and magnetic fields from RF or laser sources to confine dense ultrahigh temperature plasmas and particle beams. Research sponsored by UT-Batelle, LLC, under contract no. DE-AC05-00OR22725 for the U.S. Department of Energy SNS is a partnership of six national laboratories: Argonne, Brookhaven, Jefferson, Lawrence Berkeley, Los Alamos, and Oak Ridge Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling spread of 100 keV or better. According to computer simulations the required cooling rates can be achieved by electron cooling with an electron current of 1 A. The conceptual design of an electron beam device which is based on electrostatic acceleration of the electrons and their transport in longitudinal magnetic fields into a cooling section with a strong magnetic field of up to 0.5 T will be presented. This design will allow cooling in the magnetized regime in order to reach the required high cooling rates. Some novel features for the generation and regulation of the accelerating voltage and for the beam transport are proposed. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 140-733 - Observation of Ultracold Heavy Ion Beams with Micrometer Size Detected by Beam Scraping Markus Steck, Karl Beckert, Peter Beller, Bernhard Franzke, Fritz Nolden (GSI, Darmstadt) The existence of an ordered beam state for low intensity, electron cooled heavy ion beams has been evidenced by a sudden reduction of the momentum spread. The detection of a similar effect in the transverse degree of freedom by non-destructive diagnostics is ruled out by the limited resolution of beam profile detectors. A method to probe the horizontal beam size of an electron cooled beam in a dispersive section has been developed. It is based on beam scraping and allows a resolution on the order of micrometers. This good transverse resolution for the cooled ion beam is achieved by precise changes of the ion energy which is varied by changes of the electron beam energy. The lower resolution limit due to power supply ripple is estimated to be below 1 micrometer. This method evidenced that the reduction of the momentum spread by one order of magnitude coincides with a reduction of the transverse beam emittance by 23 orders of magnitude, at least. A horizontal beam radius of a few micrometer could be demonstrated for electron cooled heavy ion beams with less than 1000 particles. This gives new evidence for the formation of an ordered beam arranged as a linear string of ions. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 142-791 - ORBIT Benchmark of Space-charge-induced Emittance Growth in the CERN PS Sarah M. Cousineau (ORNL/ASD, Oak Ridge, Tennessee), Elias Metral (CERN, Geneva), Jeffrey Alan Holmes (ORNL/SNS, Oak Ridge, Tennessee) Particle tracking codes provide an invaluable tool in the design and operation of high intensity machines. An important task in the development of these codes is the validation of the space charge models through benchmark with experimental data. Presented here are benchmarks of the ORBIT particle tracking code with recent measurements of space-charge-induced transverse emittance growth in the CERN PS machine. Benchmarks of two experimental data sets are performed: Integer resonance crossing, and Montague resonance crossing. SNS is managed by UT-Battelle, LLC, under contract DEAC05-00OR22725 for the U.S. Department of Energy SNS is a partnership of six national laboratories: Argonne, Brookhaven, Jefferson, Lawrence Berkeley, Los Alamos and Oak Ridge Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 141-734 - An Electron Cooling System for the Proposed HESR Antiproton Storage Ring Markus Steck, Karl Beckert, Peter Beller, Alexei Dolinskii, Bernhard Franzke, Fritz Nolden (GSI, Darmstadt), Vasily Parkhomchuk, Vladimir Borisovich Reva, Alexander Skrinsky (BINP, Novosibirsk) The HESR storage ring in the proposed new international accelerator facility will provide high quality antiproton beams for experiments with an internal target. In order to achieve the design luminosity for collisions with a hydrogen target powerful beam cooling is required. For dedicated experiments ultimate resolution is demanded. Therefore it is foreseen to provide cooled antiproton beams in the energy range 0.8-14 GeV with an energy 143-826 - Dynamics of the Electron Pinch and Incoherent Tune Shift Induced by Electron Cloud Elena Benedetto, Frank Zimmermann (CERN, Geneva) When a proton bunch passes through an electron cloud, the cloud electrons are attracted by the beam electric field; their density strongly increases near the beam centre. This gives rise to an incoherent proton tune shift, which depends on the longitudinal and radial position within the bunch. We present an analytical description of the 'electron pinch' and the resulting proton tune shift, for a circular symmetry and a Gaussian cloud. Benchmarking and extending the results by computer simulations, we explore the effects of different longitudinal beam profiles and of the nonlinear transverse force. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 144-837 - Halo Budget and Beam Loss in the SNS Accumulator Ring Alexei V. Fedotov, Jie Wei (BNL, Upton, Long Island, New York) Beam loss becomes a serious issue for the highintensity operation of the SNS accumulator ring. Understanding of various contributionsto beam halo formation thus becomes very important. We review major mechanisms of halo formation which contribute to the halo budget. The necessary steps to reduce this halo budget to an acceptable limit are discussed. Work supported by the SNS through UT-Battelle, LLC, under contract DE-AC05-00OR22725 for the U.S. Department of Energy Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 145-844 - Studies of the Cooling Force in Various Regimes Alexei V. Fedotov, Ilan Ben-Zvi, Vladimir N Litvinenko (BNL, Upton, Long Island, New York), Dan Abell, David Bruhwiler, Richard Busby (Tech-X, Boulder, Colorado) The cooling times at high energy are significantly longer than in conventional low-energy coolers. This sets a very strict requirement on the accuracy of cooling calculations. The first step toward an accurate description of the cooling dynamics is obtaining a reliable estimate of the friction force experienced by ions during their interaction with the electron beam. The magnetized cooling force was calculated from first principles using direct numerical implementation of Coulomb's law with the VORPAL code. Such an approach allows benchmarking of various analytic expressions for the friction force typically used in cooling dynamics studies. The dependence of the friction force on various parameters, such as magnetic field strength in the cooling solenoid, electron and ion beam temperatures, etc., was explored. Different regimes were studied, including one where the force is near its maximum, and another where the Coulomb logarithm for cooling is small, limiting the applicability of existing formulas. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 146-850 - High Energy Electron Cooling Dynamics at RHIC Alexei V. Fedotov, Ilan Ben-Zvi, Yury Eidelman, Vladimir N Litvinenko (BNL, Upton, Long Island, New York), Igor Meshkov, Anatoly Olegovich Sidorin, Alexander Smirnov, Grigory Troubnikov (JINR, Dubna, Moscow Region) The project of high-energy electron cooling for RHIC is presently underway at Brookhaven National Laboratory. In such a regime, electron cooling has many unique features and challenges. In addition to some new aspects of cooling dynamics at high-energy, required cooling times must be estimated with a relatively higher degree of accuracy, compared to present low-energy coolers. To address these issues, a detailed study program of cooling dynamics based on computer codes, specifically developed do address highenergy cooling issues, was launched at BNL. Here, we present progress update of the high-energy cooling dynamics studies. Some special features and aspects of electron cooling relevant for colliders, such as effects of rapid cooling of a beam core and accurate treatment of intrabeam scattering for such cooled ion distributions are also discussed. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 147-851 - Intensity Dependent Emittance Transfer Studies at the CERN Proton Synchrotron Elias Metral, Christian Carli, Massimo Giovannozzi, Michel Martini, Rende Richard Steerenberg (CERN, Geneva), Giuliano Franchetti, Ingo Hofmann (GSI, Darmstadt), Ji Qiang (LBNL, Berkeley, California), Robert D Ryne (LBNL/CBP, Berkeley, California) An intensive study has been undertaken since the year 2002 to understand better the various high-intensity bottlenecks of the CERN Proton Synchrotron machine. One of these limitations comes from the so-called Montague resonance. High-intensity proton synchrotrons, having larger horizontal than vertical emittance, may suffer from this fourth-order coupling resonance driven by space charge only. In particular, such resonance may lead to emittance sharing and, possibly, beam loss due to vertical acceptance limitation. Experimental observations made in the 2002 and 2003 runs on the Montague resonance are presented in this paper and compared with 3D particle-in-cell simulation results and theoretical predictions. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 148-866 - THZ Emission Characteristics of BESSY II Operated in a Dedicated Optics of a Positive and Negative Momentum Godehard Wustefeld, Joerg Feikes, Karsten Holldack, Peter Kuske (BESSY GmbH, Berlin) The electron storage ring BESSY II can be operated with a strongly reduced momentum compaction factor (alpha). In this dedicated optics mode the bunches become longitudinally compressed and emit strongly enhanced, coherent THz radiation (CSR)[*]. Different thresholds and emission characteristics depending on the sign of alpha are expected for the interaction of the bunch with the CSR and the vacuum chamber. Bunch current dependend THz intensity thresholds and THz power spectra for small alpha values of equal magnitude but opposite sign are presented. Funded by the Bundesministerium fuer Bildung und Forschung and by the Land Berlin * M. Abo-Bakr et al., Phys. Rev. Lett. 88, 254801 (2002). Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 149-933 - Oscillations of Mismatched Beams in FODO Channels Oscar A. Anderson (LBNL, Berkeley, California) Strong space charge challenges the designers of modern accelerators such as those used in Heavy Ion Inertial Fusion. Simple, accurate design tools are useful for predicting beam behavior, such as phase advances and envelope oscillation periods, given the beam emittance and charge and the lattice parameters. Along with the KV beam model, the smooth approximation [*] is often used. It is simple but not very accurate in many cases. Although Struckmieir and Reiser [**] showed that the stable envelope oscillations of unbalanced beams could be obtained accurately, they used a hybrid approach where the phase advances sigma0 and sigma were already known precisely. When starting instead with basic quantities-quadrupole dimensions, field strength, beam line charge and emittance--the smooth approximation formulas give substantial errors (10% or more). We previously described an integration method [***] for matched beams that yields fairly simple third-order formulas for sigma0, sigma, beam radius and ripple. Here we extend the method to include small-amplitude mismatch oscillations. We derive a simple modification of the smooth approximation formulas and show that it improves the accuracy of the predicted envelope frequencies significantly--for example, by a factor of five when sigma0 is 83 degrees. In part by Office of Fusion Energy, US DOE under contract No. DE-AC03-76SF00098 * M. Reiser, Particle Accelerators 8, 167 (1978) ** J. Struckmeier and M. Reiser, Particle Accelerators 14, 227 (1984) *** O. A. Anderson, Particle Accelerators 52, 133 (1996) Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 150-953 - New Abilities of Computer Code DeCA Peter Gladkikh, Andrey Yurij Zelinsky (NSC/KIPT, Kharkov) In the paper the status and new abilities of computer code package DeCA (Design of Cyclic Acclerators) are described. The main effort of the code developers were made to creation of software capable to simulate intrabeam scattering effect and Compton scattering. In addition modules for calculation of the second order dispersion and momentum compaction factor were developed. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 151-961 - An Interaction of Stored Ions with Electron Target in Low Energy Electrostatic Ring Evgeny Syresin (JINR, Dubna, Moscow Region), Tetsumi Tanabe (KEK, Ibaraki), Koji Noda (NIRS, Chiba-shi) The KEK electrostatic ring is used for investigations of molecular, bimolecular and DNA ions. The electron target installed in this ring has same construction as usual electron cooler. The interaction of stored ions with the electrons increases the ion lifetime at electron cooling caused by a suppression of the ion scattering on the residual gas atoms. The proton lifetime of 2 s was increased in the experiments by factor 2 at the electron cooling with the electron beam current of 0.2 mA, the proton energy of 20 keV and the residual gas pressure of 0.04 nTorr. However the electron-ion interaction can decrease the ion lifetime caused by an excitation of the transverse instability produced by an intensive electron beam. So in the KEK electrostatic ring the proton lifetime is reduced to 1.7 s at detuning of electron acceleration voltage from nominal cooler value on 0.4 V. The simulation of electron cooling and transverse instability of the light and DNA ions are discussed in this report. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 152-968 - Beam Loss and Space Charge Effects in JPARC Synchrotrons Shinji Machida (KEK, Ibaraki) High intensity synchrotrons such as JPARC rapid cycling synchrotron (RCS) and main ring (MR) do have a stringent beam loss specification. Collective effects due to space charge is one of sources to create beam halo and eventually beam loss. Mainly thanks to high computation power in last few years, high performance simulations such as a whole cycle tracking of 20 ms RCS acceleration become feasible. Although it is still not clear if there is a dominant mechanism that explains halo formation quantitatively, collection of simulation results in various parameter space gives a guideline to an operation of high intensity sychrotrons. We will discuss simulation results up to date and try to derive generalized features. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 153-1007 - Space Charge Effects in the Cooling Ion Beam Vladimir Vostrikov (BINP, Novosibirsk) Design of particle accelerators with intense ion beams and cooling requires careful control of space charge problems. During the cooling of ion beam the betatron tune shifts are increased. It can lead to resonance perturbations of particle oscillation thus, limiting the achievable charge densities. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 154-1039 - Nonlinear Models for Dynamics of Highbrightness Beams Michael G. Zeitlin, Antonina N. Fedorova (RAS/IPME, St. Petersburg) We consider a few reductions from nonlinear Vlasov-like equations to rms/rate equations for second moments related quantities (with or without additional equations or/and constraints for energy and emittance). Our analysis is based on variational--wavelet approach to rational (in dynamical variables) approximations with possible related constraint equations. It allows to control contributions to spectrum from each scale of underlying multiscales and represent solutions via multiscale nonlinear eigenmodes expansions. Our approach provides the best convergence properties of the corresponding exact representations and does not use perturbations or/and linearization procedures. Reduced algebraical structure provides the pure algebraical control of stability/unstability scenario and appearance of different type of behaviour (chaotic vs. localized patterns) in space of parameters. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 155-1042 - Investigation of Parameters of an Electron Beam from the Powerful High-voltage Magnetron Guns with a Secondary-emission Cathode. Anatoly Nikolayevich Dovbnya, Nikolay Aizatsky, Victor Boriskin, Nikolay Reshetnyak, Victor Romas&#8217;ko, Tamara Semenets, Yury Volkolupov, Valery Zakutin (NSC/KIPT, Kharkov) The paper is devoted to investigations into the development of a cathode unit for the 3 cm klystron applied in medical therapeutic accelerators. The investigations were carried out using a gun comprising a copper cathode (40 mm in diameter, 70 mm length), and a cylindrical anode (70 mm in diameter, 140 mm length). The measurement of beam parameters was performed by means of a sectionalized 8-channel Faraday cup and a multichannel computer-aided measuring system. The experiments have shown that the beam generation is stable. The current instability of beams falling at eight segments of the Faraday cup during 16 voltage pulses following one after another was ranging from ~2 to 3%. At a cathode voltage amplitude of 50 kV and a magnetic field strength of ~1500 Oe this source forms a tubular beam with an external diameter of 50 mm, an internal diameter of 44 mm and a beam current of ~50 A. The measured beam charge distribution in azimuth has the nonuniformity from 7 to 10%. The beam current pulse duration is ~8µs, the beam pulse power is ~2.5 MW. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 156-1068 - Study of Diffusion Process caused by Beam-beam Interactions Kazuhito Ohmi, Katsunobu Oide, Masafumi Tawada (KEK, Ibaraki) A system of colliding two beams is strong nonlinear in multi-dimension. In such a system, a symplectic diffusion called Arnold diffusion occurs, with the result that the beams are enlarged and the luminosity is degraded in circular colliders. We discuss the diffusion seen in beam-beam inetraction at a circular accelerator, especially finite crossing angle and/or x-y coupling errors enhance the diffusion. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 157-1074 - Dissipation and Chaotic Mixing in Intense Beams in the Presence of Skew Quadrupole Errors Rami Alfred Kishek, Irving Haber, Hui Li (IREAP, College Park, Maryland), Patrick G. O'Shea (IREAP, College Park, Maryland; Maryland University, College Park, Maryland) Skew quadrupole (rotational) errors introduce a high level of complexity into the dynamics of intense charged particle beams. For instance the standard x, y envelope equations need be replaced by 10 moment equations that include the cross-moments. Envelope mismatch oscillation frequencies similarly bifurcate into a larger number of allowable modes. Individual test particles trapped in such a potential are likely to experience complicated orbits, and to resonate with the rotational modes as well as the envelope modes. In order to illuminate the complex dynamics taking place in skew quadrupole systems, particles are tracked through linear as well as self-consistent nonlinear potential wells with quadrupole rotation errors. The implications of the study on halo formation and equilibration mechanisms are discussed. This work is funded by US Dept. of Energy under contracts No. DE-FG02-94ER40855 and DE-FG02-92ER54178 Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 158-1089 - Electron Cooling Experiments at HIMAC Synchrotron Koji Noda, Shinji Shibuya, Tomonori Uesugi (NIRS, Chibashi), Evgeny Syresin (JINR, Dubna, Moscow Region), Shiro Ninomiya (RCNP, Osaka) In the HIMAC synchrotron, the electron cooling experiments have been carried out since 2000 in order to develop new technologies in heavy-ion therapy and related research. Among of them, especially, the cool-stacking method has been studied to increase the intensity of heavy ions such as Fe and Ni in order to study the risk estimation of the radiation exposure in space. The simulation was carried out in order to optimize the stacking intensity under various the injection periods. In addition, the beam heating by the RF-KO and the clearing the secondary ion in the cooler were applied to avoid the instability occurred when the beam density became high. We will report the experiment results. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 159-1222 - Dynamics and Cooling of Modulated Bunches in the Bend Raphael Tumanyan (YerPhI, Yerevan) The influence of the space charge field on the dynamics of the particles of the bunch, which is moved in the bend magnet, is calculated. It is shown, that such influence on the energy of the particles of the modulated bunch cause in the decreasing of the bunch energy spread, i.e. in the bunch cooling. The conditions of the maximum cooling are found. The attainable ordering of the bunch is investigated. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 160-1238 - Expected Performance and Beam-based Optimization of the LHC Collimation System Ralph Assmann, Eva Barbara Holzer, Jean-Bernard Jeanneret, Verena Kain, Stefano Redaelli, Guillaume Robert-Demolaize, Jorg Wenninger (CERN, Geneva), Dobrin Kaltchev (TRIUMF, Vancouver) The cleaning efficiency requirements in the LHC are 23 orders of magnitude beyond the requirements at other super-conducting circular colliders. The achievable ideal cleaning efficiency in the LHC is presented and the deteriorating effects of various physics processes and imperfections are discussed in detail for the improved LHC collimation system. The longitudinal distribution of proton losses downstream of the betatron cleaning system are evaluated with a realistic aperture model of the LHC. The results from simplified tracking studies are compared to simulations with complete physics and error models. Possibilities for beam-based optimization of collimator settings are described. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 161-1286 - Observation of a Fast Single Bunch Transverse Instability on Protons in the SPS Helmut Burkhardt, Gianluigi Arduini, Elena Benedetto, Elias Metral (CERN, Geneva), Giovanni Rumolo (GSI, Darmstadt) The longitudinal impedance of the SPS has been reduced significantly by hardware modifications over the last years and the threshold for longitudinal instabilities increased accordingly. We now observe a fast transverse instability on high intensity single bunches of low longitudinal emittance. The main observed signature and the threshold dependence on beam parameters is described and compared with theoretical expectations and simulations. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 162-1287 - Investigation of Space Charge Effects and Intrabeam Scattering for Lead Ions in the SPS Helmut Burkhardt, Django Manglunki, Michel Martini, Federico Roncarolo (CERN, Geneva), Giovanni Rumolo (GSI, Darmstadt) Space charge effects and intrabeam scattering usually play a minor role in high energy machines like the SPS. They can potentially become a limitation for the heavy ion beams needed for the LHC at the injection plateau in the SPS. Experimental studies on space charge limitations performed on low energy proton beams in the SPS will be described. Theoretical studies have been performed to predict emittance growth times due to intrabeam scattering using several different codes. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 163-1302 - Simulation Results on Cooling Times and Equilibrium Parameters for Antiproton Beams at the HESR Alexei Dolinskii, Oliver Boine-Frankenheim, Bernhard Franzke, Markus Steck (GSI, Darmstadt), Alexander Bolshakov, Pavel Zenkevich (ITEP, Moscow), Anatoly Olegovich Sidorin, Grigory Troubnikov (JINR, Dubna, Moscow Region) The High Energy Storage Ring HESR is part of the "International Accelerator Facility for Ion and Antiproton Beams" proposed at GSI. For internal target experiments with antiproton beams in the energy range 0.8 GeV to 14.5 GeV a maximum luminosity of 5 inverse nbarn per second and a momentum resolution on the order of 10 ppm have to be attained. Electron cooling is assumed to be the most effective way to counteract beam heating due to target effects and intra-beam scattering. Cooling times and equilibrium parameters have been determined by means of three different computer codes: BETACOOL, MOCAC, and PTARGET. The results reveal that the development of fast, "magnetized" electron cooling with beam currents of up to 1 A and variable electron energies of up to 8 MeV in an extremely homogeneous longitudinal magnetic field of up to 0.5 T is crucial to achieve the required equilibrium beam parameters over the envisaged range of antiproton energies. Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 164-1312 - Lattice Design and Cooling Simulation at SLSR Toshiyuki Shirai, Hicham Fadil, Shinji Fujimoto, Masahiro Ikegami, Akira Noda, Takeshi Takeuchi, Hiromu Tongu (ICR Kyoto, Kyoto), Hiromi Okamoto, Yosuke Yuri (HU/AdSM, Higashi-Hiroshima), Evgeny Syresin (JINR, Dubna, Moscow Region), Manfred Grieser (MPI-K A compact ion cooler ring, S-LSR is under construction in Kyoto University. The circumference is 22.557 m and the maximum magnetic rigidity is 1 Tm. One of the important roles of S-LSR is a test bed to examine the lowest temperature limit of the ion beams using cooling techniques. The ultimate case is a crystalline one. The ring optics of SLSR has a high super periodicity and a low phase advance to reduce the beam heating from the lattice structure. S-LSR has an electron beam cooling device and a laser cooling system for Mg. The simulation results show the possible limit of the ion beam temperature and the dependence on the operating betatron tunes. Advanced Compact Accelerator Development of Ministry of Education, Culture, Sports, Science and Technology Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 165-1327 - Image-charge Effects on the Beam Halo Formation and Beam Loss in a Small-aperture Alternating-gradient Focusing System Jing Zhou, Chiping Chen (MIT/PSFC, Cambridge, Massachusetts) The image-charge effects on an intense charged-particle beam propagating through an alternating-gradient focusing channel with a small aperture, circular, perfectly conducting pipe are studied using a test-particle model. For a well- matched elliptical beam with the KapchinskijVladimirskij (KV) distribution, it is found that halo formation and beam loss is induced by nonlinear fields due to image charges on the wall. The halo formation and chaotic particle motion dependent sensitively on the system parameters: filling factor of the quadrupole focusing field, vacuum phase advance, beam perveance, and the ratio of the beam size to the aperture. Furthermore, the percentage of beam loss to the conductor wall is calculated as a function of propagating distance and aperture. The theoretical results are compared with PIC code simulation results. Work supported by the U.S. Department of Energy and Air Force Office of Scientific Research Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 166-1399 - New Ideas for Muon Beam Cooling Yaroslav Derbenev (Jefferson Lab, Newport News, Virginia), Rolland Johnson (Muons, Inc, Batavia) We report on new concepts for ionization cooling of muon beams in a Neutrino Factory (NF) or Muon Collider (MC). First, we achieve longitudinal compression and cooling of the initial muon beam in the helical channel using energy loss without RF reacceleration and then we achieve exceptional sixdimensional cooling with a continuous hydrogen gas absorber. There are three more ideas on achieving an additional MC cooling to make the transverse beam emittances so small that fewer muons are needed to achieve high luminosity. These concepts involve transverse and longitudinal phase cooling using parametric resonances in transport optics correlated with absorber plates, and, finally repartition the emittances using fast reverse emittance exchange with large angle wedge absorbers to increase luminosity. We estimate that these ideas imply MC transverse emittances one or even two orders of magnitude smaller than conventionally thought attainable with IC. Conceptual schemes and numerical evaluations will be presented. U.S. Department of Energy Contract DE-AC0584ER40150 Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 167-1407 - New Conceptds for High Energy Electron Coling Yaroslav Derbenev (Jefferson Lab, Newport News, Virginia), Vadim Dudnikov (BTG, New York), Viatcheslav V. Danilov (ORNL/SNS, Oak Ridge, Tennessee) We report on progress in conceptual development of the proposed high luminosity (up to 1035/cm2s) and efficient spin manipulation (using figure 8 boosters and collider rings) Electron-Ion Collider at CEBAF based on use of polarized 5-7 GeV electrons in superconducting energy recovering linac (ERL with circulator ring, kicker-operated) and 30-150 GeV ion storage ring (polarized p, d, He3, Li and unpolarized nuclei up to Ar, all totally stripped). Ultra-high luminosity is envisioned to be achievable with short ion bunches and crab-crossing at 1.5 GHz bunch collision rate interaction points. Our recent studies concentrated on characterization and simulation of beam-beam interaction, preventing the electron cloud instability, calculating luminosity lifetime due to Touschek effect in ion beam and background scattering of ions, experiments on energy recovery at CEBAF, and other. These studies have been incorporated in the development of the luminosity calculator and in formulating minimum requirements to the polarized electron and ion sources. This work was supported by the US Department of Energy under Contract No DE-AC05-84ER40150 Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 168-1409 - Concepts for Stacking Ion Beams Overcoming Space Charge Limit on Emittance Yaroslav Derbenev (Jefferson Lab, Newport News, Virginia) We investigate ideas to accumulate and accelerate high current low emittance proton and ion beams in boosters or accumulator rings while overcoming the space charge limitations. During injection to a ring, the beam is painted (or transformed by other methods) into a large radius narrow ring shape in phase space of each of the two planes while keeping the phase space volume, i.e. true emittances, small. The beam can be stacked to a high current value in such state using stripping injection in booster or hollow beam electron cooling in a small accumulator ring. After stacking and accelerating to relativistic energies, the beam can be returned to a normal spot shape using a special transformation in the next transport line or in a booster with RF resonance dipoles. Such techniques could be incorporated with an ion facility of high luminosity electronproton or proton-proton collider with electron cooling. Particles redistributions in phase space of betatron and synchrotron oscillations can also be used for increase of the threshold intensity of the electron cloud and transverse twostream instability. This work was supported by the US Department of Energy under Contract No DE-AC05-84ER40150 Type of presentation requested: Poster Classification: [D03] High Intensity - Incoherent Instabilities, Space Charge, Halos, Cooling 169-235 - Initial-Value Approach to the Theories of Resonances and Collective Effects Toshio Suzuki (KEK, Ibaraki) Initial-value approach by computers is a modern method of analyzing non-linear problems. Since we can obtain analytical solutions in linear cases and in perturbation theories, we study similarities between resonace effects and and collective beam instabilities. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 170-416 - Single-bunch Electron Cloud Effects in the GLC/NLC and US-cold Beam Deliver Systems and Bunch Compressor System Mauro Torino Francesco Pivi, Tor Raubenheimer (SLAC/NLC, Menlo Park, California), Daniel Bates, Arthur Chang, David Chen (SLAC, Menlo Park, California) In the beam pipe of the Beam Delivery System (BDS) and Bunch Compressor system (BCS) of a linear collider, ionization of residual gasses and secondary emission may lead to amplification of an initial electron signal during the bunch train passage and ultimately give rise to an electron-cloud. A positron beam passing through the linear collider beam delivery may experience unwanted additional focusing due to interaction with the electron cloud. This typically leads to an increase in the beam size at the interaction point (IP) when the cloud density is high. Interaction with the electron cloud in the bunch compressor could also potentially cause an instability. This paper examines the severity of the electron cloud effects in the BCS and BDS of both the GLC/NLC and US-Cold linear collider design through the use of specially developed simulation codes. An estimate of the critical cloud density is given for the BDS and BCS of both designs. Work supported by Department of Energy contract DEAC03-76SF00515 Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 171-455 - Electron Cloud Build up in Coasting Beams Giovanni Rumolo (GSI, Darmstadt), Giulia Bellodi (CCLRC/RAL/ASTeC, Chilton, Didcot, Oxon), Frank Zimmermann (CERN, Geneva), Kazuhito Ohmi (KEK, Ibaraki) Electrons could in principle accumulate in the potential of coasting beams of positively charged particles until a balance between the beam force and space charge force from the electrons is reached. But the continuous interaction between a non-ideal perturbed coasting beam and the cloud of electrons being trapped by it, together with the reflection and secondary emission processes at the inner pipe wall, can alter this picture and cause a combined cloud or beam transverse instability long before the concentration of electrons reaches the theoretical equilibrium value. The issue is addressed in this paper by means of combined build-up and instability simulations carried out with the HEADTAIL code. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 172-472 - Beam Instabilitiy Studies of BEPC and BEPCII Jiuqing Wang, Zhiyuan Guo, Yudong Liu, Qing Qin, zheng zhao, Demin Zhou (IHEP Beijing, Beijing) BEPC has been well operated for more then 10 years, and it will be upgraded to a double ring electron positron collider using the existing tunnel, namely BEPCII. This paper describes the recent studies on beam instabilities in BEPC for the improvement of its performance as well as for BEPCII. The instabilities caused by impedance and two-stream effect are investigated. The experimental and simulation results are reported. Work supported by the Chinese National Foundation of Natural Sciences, contracts 10275079-a050501 and 10375076-a050501 Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 173-530 - A Cure for Multipass Beam Breakup in Recirculating Linacs Byung Chel Yunn (Jefferson Lab, Newport News, Virginia) We investigate a method to control the multipass dipole beam breakup instability in a recirculating linac including energy recovery. Effectiveness of an external feedback system for such a goal is shown clearly in a simplified model. We also verify the theoretical result with a simulation study. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 174-564 - Electron-cloud Build-up Simulations and Experiments at CERN Frank Zimmermann, Gianluigi Arduini, Vincent Baglin, Thomas Bohl, Berthold Jenninger, Jos&#233; Miguel Jimenez, Jean-Michel Laurent, Francesco Ruggiero, Daniel Schulte (CERN, Geneva) We compare the predications of electron-cloud build-up simulations with measurements at the CERN SPS. Specifically, we compare the electron flux at the wall, electron-energy spectra, heat loads, and the spatial distribution of the electrons for two different bunch spacings, with variable magnetic fields, and for several chamber temperatures and associated surface conditions. The simulations employ a modified, improved version of the ECLOUD code. The main changes are briefly described. We finally present updated simulation results for the heat load in the cold LHC arcs. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 175-576 - Energy Loss of a Single Bunch in the CERN SPS Elena Shaposhnikova, Thomas Bohl, Trevor Paul Linnecar, Joachim Tuckmantel (CERN, Geneva) The dependence of energy loss on bunch length was determined experimentally for a single proton bunch in the SPS at 26 GeV/c. This was done from measurements of the synchronous phase as a function of intensity for different capture voltages. The results are compared with the expected dependence calculated from the resistive part of the SPS impedance below 1 GHz. Two impedance sources, the cavities of the 200 MHz RF system and the extraction kickers, give the main contributions to particle energy loss in very good agreement with experiment. The results obtained allow a better understanding of some mechanisms leading to capture loss of the high intensity LHC beam in the SPS. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 176-578 - Resistive Wall Impedance and Wakefunction with Inductive Bypass Alexander Koschik, Elias Metral, Luc Vos (CERN, Geneva) We analyze the resistive wall impedance with an "inductive bypass" due to alternate current paths in the outer vacuum chamber proper. Also the corresponding wake function has been obtained which is useful for the simulation of beam stability in the time domain. Results are presented for the LHC. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 177-583 - Wakefield Calculations for TTF-II Igor Zagorodnov, Thomas Weiland (TEMF, Darmstadt), Martin Dohlus (DESY, Hamburg) In this paper we estimate long- and short-range wake functions for new elements to be used in TESLA Test Facility (TTF) - II. The wake potentials of the LOLAIV structure and the 3rd harmonic section are calculated numerically for very short bunches and analytical approximations for wake functions in short and long ranges are obtained by fitting procedures based on analytical estimations. The numerical results are obtained with code ECHO for high relativistic Gaussian bunches with RMS deviation up to 0.015 mm. The calculations are carried out for the complete structures (including bellows, rounding of the irises and the different end cell geometries) supplied with ingoing and outgoing pipes. The low frequency spectra of the wake potentials is calculated using the PronyPisarenko method. work supported in part by the Deutsche Forschungsgemeinschaft under contract WE1239/22 Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 178-605 - Equilibrium Longitudinal Distribution for Localized Regularized Inductive Wake Stefania Petracca, Theo Demma (U. Sannio, Benevento), Kohji Hirata (GUAS, Kanagawa) In a recent paper [*] we have shown that a localized wake assumption and the Gaussian approximation for the longitudinal beam distribution function can be used to understand the nature of the stationary solutions for the inductive wake, by comparison between the resulting map and the Haissinski equation, which rules the (less realistic) case of a uniformly distributed wake. In particular we showed the non-existence of solutions of Haissinski's equation when the inductive wake strength exceeds a certain threshold [**] to correspond to the onset of chaos in the map evolving the moments of the beam distribution from turn to turn. In this paper we use the same formalism to confirm that as noted in [**] for Haissinski's equation, a steady state solution for the longitudinal phase space distribution function always exists if a physically regularized inductive wake, which satisfies an obvious causality condition, is used. * S. Petracca and Th. Demma, Proc. of the 2003 PAC, IEEE Press, New York, 2003, ISBN 0-7803-7739-9, p.2996. ** Y. Shobuda and K. Hirata, Part. Accel. vol. 62, 165 (1999). Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 179-610 - Ectromagnetic Fields in the Beam Liner for a Coaxial LHC-like Ring Stefania Petracca, Rocco Paolo Croce, Theo Demma (U. Sannio, Benevento) We use the general solution [*] describing the electromagnetic field in the toroidal region between the beam liner and the cold bore to compute consistently the field in the liner for an LHC-like ring. * S. Petracca and Th. Demma, Proc. of the 2003 PAC, IEEE Press, New York, 2003, ISBN 0-7803-7739-9, p.2999 Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 180-612 - Electromagnetic Fields of an Off-axis Bunch in a Circular Pipe with Finite Conductivity and Thickness Stefania Petracca, Rocco Paolo Croce, Theo Demma (U. Sannio, Benevento) The electromagnetic field produced by a bunched beam in a circular pipe is usually computed under the assumption that the field penetration(skin depth) is far less than the wall thickness. Chao [*] gave a formula which exploits the wall thickness, but his result is restricted to the monopole term. Piwinski [**] treated the case of a metal coated ceramic wall, when the coating thickness is much smaller than the skin-depth, but his analysis is also limited to the monopole term.In this paper we solve the problem in full generality, by providing an exact (Green's functions) solution for the field of an off-axis point particle running at constant velocity in a circular pipe with finite wall conductivity and thickness. * A.W. Chao, Phys. of Collective Beam Instab. in High En. Accel., Wiley,1993 ** S. Piwinski, DESY 1972/72 Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 181-613 - Wake Fields of Bunched Beam in Rings with Lossy Walls of Finite Thickness Stefania Petracca, Rocco Paolo Croce, Theo Demma (U. Sannio, Benevento) The general exact solution exploited [*] is applied, introducing suitable dimensionless parameters, and using appropriate asymptotic limiting forms, to compute the wake field multipoles for the different paradigm cases of LHC and DAPHNE. * R. P. Croce, Th. Demma, S. Petracca "Electromagnetic Fields of an Off-axis Bunch in a Circular Pipe with Finite Conductivity and Thickness", these proceedings Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 182-615 - Modified Polarizabilities and Wall Impedance for Perforated Beam Pipe Stefania Petracca, Theo Demma (U. Sannio, Benevento) We extend previous results [*] concerning the modified polarizability of (electrically small) holes/slots in the wall of a circular beam liner surrounded by a coaxial circular tube to the most general liner and cold bore geometries. We obtain an equivalent wall impedance to describe the electromagnetic boundary conditions at perforated walls for this most general case, and use a general perturbational approach [**] for computing the pertinent longitudinal and transverse coupling impedances. * R.L. Gluckstern, CERN SL 92-06 (AP), 1992, CERN SL 92-31 (AP), 1992; R.L. Gluckstern, B. Zotter, CERN SL 96-56 (AP), 1996. ** S. Petracca, Part. Acc., {\bf 50}, 211, 1995; id., Phys. Rev. E, 60 (3),1999. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 183-616 - Localizing Impedance Sources from Betatron-phase Beating in the CERN SPS Frank Zimmermann, Gianluigi Arduini, Christian Carli (CERN, Geneva) Multi-turn beam-position data recorded after beam excitation can be used to extract the betatron-phase advance between adjacent beam position monitors (BPMs) by a harmonic analysis. Performing this treatment for different beam intensities yields the change in phase advance with current. A local impedance contributes to the average tune shift with current, but, more importantly, it also causes a mismatch and phase beating. We describe an attempt to determine the localized impedance around the SPS ring by fitting the measured betatron phase shift with current at all BPMs to the expected impedance response matrix. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 184-621 - Coherent and Incoherent Effects of the Impedance Modelisation of the ESRF-Ring Compared to Single Bunch Tune-shifts Thomas Friedrich Guenzel (ESRF, Grenoble) In single bunch the detuning of the transverse modes m=0 and m=-1 are calculated on the base of a common impedance model obtained from element-wise wakefield calculation. As the vacuum chambers of the ESRF storage ring have notably flat cross sections incoherent effects have an impact on the tune shifts as well as coherent effects. The results are compared to measurements and discussed. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 185-626 - A Review of Collective Effects in the LHC Francesco Ruggiero, Elena Benedetto, Werner Herr, Alexander Koschik, Elias Metral, Daniel Schulte, Elmar Vogel, Luc Vos, Frank Zimmermann (CERN, Geneva), Hiroshi Tsutsui (SHI, Tokyo) We present a revised impedance budget for the LHC, including a significant resistive wall contribution from the collimation system, and review transverse instabilities driven by conventional wakefields and by the electron cloud. We then discuss stabilisation strategies based on chromaticity control, feedback system, and Landau damping by the incoherent tune spread associated with lattice octupoles and long range beam-beam encounters. Finally we address beam-beam limitations, heat loads, emittance preservation, and machine performance. CERN, Geneva, Switzerland Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 186-687 - Investigation of Microwave Instability on Electron Storage Ring TLS Min-Huey Wang (NSRRC, Hsinchu), Alex Chao (SLAC, Menlo Park, California) With the planned installation of a superconducting rf system, the new operation mode of TLS, the electron storage ring at NSRRC, is expected to double the beam intensity. Several accelerator physics topics need to be examined. One of these topics concerns the beam instability of single-bunch longitudinal microwave instability. We consider different approaches to measure the effective broad band impedance. We compare these measurement results with each other and to the old data [*]. The new measurements of effective broad band impedance are higher than the old measurement since between these two sets of measurements several narrow gap insertion devices were installed into the storage ring. We calculate the threshold current of microwave instability with a mode-mixing analysis code written by Dr. K. Oide of KEK [**]. We also develop a multi-particle tracking code to simulate the instability. The results of simulation and measurement are compared and discussed. We conclude that the doubling of beam current will not onset the microwave instability even without a Landau cavity to lengthen the bunch. * M.H. Wang, et al.,"Longitudinal Beam Instability Observation with streak Camera at SRRC", proceeding of 1996 European Particle Accelerator Conference, pp. 1120 ** K. Oide, "Longitudinal Single-Bunch Instability in Electron Storage Rings", KEK Preprint Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 187-723 - Simulation Calculations of Stochastic Precooling Inna Nesmiyan (National Taras Shevchenko University of Kyiv, Kiev), Fritz Nolden (GSI, Darmstadt) The process of longitudinal stochastic cooling is simulated using a Fokker-Planck model. The model includes the sensitivities of pick-up and kicker electrodes as calculated from field theoretical models. The effect of feedback through the beam is taken into account. Intra beam scattering is treated as an additional diffusive effect. The calculations cover the existing system of the ESR storage ring at GSI as well as the cooling system for secondary heavy ion and antiproton beams at the proposed new accelerator facility. The paper discusses the resulting cooling times. Requirements on the system layout as amplification factors and electrical power can be derived from the simulations. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 188-778 - Proposal for the Creation and Storage of Long Bunches in the LHC Heiko Damerau, Roland Garoby (CERN, Geneva) Long bunches with a uniform longitudinal line density held by barrier buckets are considered for a future luminosity upgrade of the Large Hadron Collider (LHC). With such bunches, the luminosity is maximised for a fixed number of particles. Instead of conventional barrier buckets, periodic barriers are proposed. These are generated with multiple RF harmonics (e.g. multiples of 40 MHz). A possible scheme to create and hold long flat bunches in the LHC is described, and the resulting gain in luminosity is estimated. Gesellschaft fuer Schwerionenforschung mbH (GSI), Darmstadt, Germany Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 189-780 - Investigation of Cavity Induced Longitudinal Coupled Bunch Mode Instability Behaviour and Mechanisms Robert Gerd Heine, Peter Hartmann, Arndt Haselhoff, Holger Huck, Gerald Schmidt, Sebastian Strecker, Thomas Weis (DELTA, Dortmund) The narrowband impedances of RF-resonators in a circular accelerator can drive coupled bunch mode CBI - instabilities which might spoil the overall beam quality. Often, as in synchrotron radiation light sources e.g. the instability does not lead to beam loss but to a severe degradation of the source brilliance. Investigations of longitudinal CBIs have been performed at the DELTA storage ring with a single DORIS-type cavity for future comparision with the behaviour of a HOM-damped cavity to be tested at DELTA. This resonator is presently developed and built within an EU-collaboration. The beam was deliberately driven into instability using the beam current as well as the cavity temperature as individual parameters. The instability characterisations at low (542 MeV) and high (1,5 GeV) energy exhibit a complex behaviour. The strength of the instability measured by the bunch excursions in the case of longitudinal CBIs, but also the spreading of the instability across neighbouring modes depends on parameters such as beam energy, resonant impedance but also on counteracting mechanisms like synchrotron radiation and Landau damping. The paper will cover the experimental results together with estimations of the influence and mechanism of Landau damping. work partly supported by the EU under contract no. HPRICT-1999-50011 Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 190-816 - The Effect of Inhomogeneous Magnetic Field on Budker-Chirikov Instability Yurii Golub (MRTI RAS, Moscow) The two-beams electron - ion system consists of a nonrelativistic ion beam propagating co-axially with a highcurrent relativistic electron beam in a longitudinal inhomogeneous magnetic field. The effect of the longitudinal inhomogeneous magnetic field on instability Budker-Chirikov (BCI) in the system is investigated by the method of a numerical simulation in terms of the kinetic description of both beams. The investigations are development of investigations in [*,**]. Is shown, when the inhomogeneity magnetic field results in the decreasing of an increment of instability Budker-Chirikov and the increasing of length of propagation of a electron beam. Also is shown, when take place the opposite result. * Yu.Ya. Golub, N.E.Rozanov, Nuclear Instruments and Methods in Physics Research, A358 (1995) 479 ** Yu.Ya. Golub, Proceedings of EPAC 2002, Paris, France, p.1497 Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 191-820 - Simulated Emittance Growth due to Electron Cloud for SPS and LHC Proton Beams. Elena Benedetto, Daniel Schulte, Frank Zimmermann (CERN, Geneva), Giovanni Rumolo (GSI, Darmstadt) The emittance growth caused by an electron cloud is simulated by the HEADTAIL code. The simulation result depends on the number of beam-cloud "interaction points"(IPs), the phase advance between the IPs, the number of macro-particles used to represent beam and cloud, and on the betatron tune. Simulations include a transverse feedback system and, optionally, a large chromaticity, as employed in actual SPS operation. Simulation results for the SPS are compared with observations, and the emittance growth in the LHC is computed as a function of the average electron density. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 192-834 - RF Amplitude Modulation to Suppress Longitudinal Coupled Bunch Instabilities in the SPS Elmar Vogel, Thomas Bohl, Urs Wehrle (CERN, Geneva) In the SPS, even after a considerable impedance reduction including the removal of all RF cavities used for lepton acceleration in the past, longitudinal coupled bunch instabilities develop with an LHC beam of about one fifth of the nominal bunch intensity. The nominal LHC beam is stabilised using both, the 800 MHz Landau damping cavities, in bunch shortening mode, and pre-emptive emittance blow-up. An alternative method to increase the synchrotron frequency spread and thus stabilise the beam is amplitude modulation of the accelerating RF voltage. This method might be especially suitable in accelerators without a higher harmonic RF system, as will be the case in LHC. The main results of recent studies using this method in the SPS and considerations about its use in LHC are presented. CERN, Geneva, Switzerland Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 193-857 - Stability Diagrams for Landau Damping with Two-dimensional Betatron Tune Spread from Both Octupoles and Non-linear Space Charge applied to the LHC at Injection Elias Metral, Francesco Ruggiero (CERN, Geneva) The joint effect of space-charge non-linearities and octupole lenses is discussed for the case of a quasiparabolic transverse distribution of a monochromatic beam. The self-consistent non-linear space-charge tune shift corresponding to the above distribution function is first derived analytically. The exact dispersion relation is also given but not solved. Instead, noting that a good approximation of the non-linear space-charge tune shift is obtained considering only linear terms in the action variables, the dispersion relation is solved analytically in this approximate case. As expected, in the absence of external (octupolar) non-linearities, the result of Möhl and Schönauer is recovered: there is no stability region. In the absence of space charge, the stability diagrams of Berg and Ruggiero are also recovered. Finally, the new result is applied to the LHC at injection. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 194-862 - New Characteristics of a Single-bunch Instability Observed in the APS Storage Ring Chun-Xi Wang (ANL, Argonne, Illinois), Katherine Harkay (ANL/APS, Argonne, Illinois) In the Advanced Photon Source storage ring, a transverse single-bunch instability has long been observed that appears unique to this ring. Many of its features have been previously reported. New results have recently been obtained using beam centroid history measurements and analysis. These preliminary results provide more detailed information regarding the characteristics of this instability and could provide insight into the physics mechanism. Work supported by U.S. Department of Energy, Office of Basic Energy Sciences, under Contract No. W-31109-ENG-38 Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 195-885 - Analysis of Electron Cloud at RHIC Ubaldo Iriso, Michael Blaskiewicz, Angelika Drees, Wolfram Fischer, Justin Gullotta, Ping He, HsiaoChaun Hseuh, Haixin Huang, Roger Lee, Loralie Smart, Dejan Trbojevic, S.Y. Zhang (BNL, Upton, Long Island, New York), Giovanni Rumolo (GSI, Darmstadt) Pressure rises with high intense beams are becoming the main luminosity limitation at RHIC. Observations during the latest runs show beam induced electron multipacting as one of the causes for these pressure rises. Experimental studies are carried out at RHIC using devoted instrumentation to understand the mechanism leading to electron clouds. Possible cures using NEG coated beam pipes and solenoids are experimentally tested. In the following, we report the experimental electron cloud data and analyzed the results using computer simulation codes. Work supported by U.S. DOE under contract No DE-AC0298CH10886 Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 196-898 - Studies of Current Dependent Effects at ANKA Anke-Susanne M&#252;ller, Ingrid Birkel, Erhard Huttel, Francisco Perez, Montserrat Pont (FZK-ISS-ANKA, Karlsruhe), Frank Zimmermann (CERN, Geneva) The ANKA electron storage ring is operated at energies between 0.5 and 2.5 GeV. A major requirement for a synchrotron light source, such as ANKA, is to achieve a high beam current. A multitude of mostly impedance related effects depend on either bunch or total beam current. This paper gives an overview over the various beam studies performed at ANKA in this context, specifically the observation of current dependent detuning, the dermination of the bunch length change with current from a measurement of the ratio between coherent and incoherent synchrotron tune and an assessment of the effective longitudinal loss factor from the current dependent horizontal closed orbit distortion. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 197-899 - Investigation of Scraper Induced Wake Fields at ANKA Anke-Susanne M&#252;ller, Ingrid Birkel, Erhard Huttel, Francisco Perez, Montserrat Pont (FZK-ISS-ANKA, Karlsruhe), Frank Zimmermann (CERN, Geneva) The ANKA synchrotron light source operates in the energy range from 0.5 to 2.5 GeV. Typical requirements for light sources include small beam sizes, large lifetimes and high currents to provide the highest possible photon flux. The understanding of impedance and instability related issues is very important in order to improve the machine performance, in particular when small aperture insertion devices are installed that require protection by a scraper. In the framework of an impedance survey the transverse and longitudinal wake fields induced by a vertical scraper have been measured and analysed. This paper reports the beam observations and compares them with the expectation. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 198-918 - Suppression of Microbunching Instability in the Linac Coherent Light Source Zhirong Huang, Gennady Stupakov, James Welch, Juhao Wu (SLAC, Menlo Park, California), Michael Borland (ANL/APS, Argonne, Illinois), Paul Emma (SLAC/ARDA, Menlo Park, California), Cecile Limborg-Deprey (SLAC/SSRL, Menlo Park, California) A microbunching instability driven by longitudinal space charge, coherent synchrotron radiation and linac wakefields is studied for the linac coherent light source (LCLS) accelerator system. Since the uncorrelated (local) energy spread of electron beams generated from a photocathode rf gun is very small, the microbunching gain may be large enough to significantly amplify shot noise fluctuations of the electron beam. The uncorrelated energy spread can be increased by an order of magnitude without degrading the free-electron laser performance to provide strong Landau damping against the instability. We study different damping options in the LCLS and discuss an effective laser heater to minimize the impacts of the instability on the quality of the electron beam. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 199-937 - Direct Measurement of the Resistive Wakefield in Tapered Collimators Peter Tenenbaum (SLAC, Menlo Park, California), Dmitry Onoprienko (Brunel University, Middlesex) The transverse wakefield component arising from surface resistivity is expected to play a major role in the beam dynamics of future linear colliders. We report on a series of experiments in which the resistive wakefield was measured in a series of tapered collimators, using the Collimator Wakefield beam test facility at SLAC. In order to separate the contributions of geometric and resistive wakefields, two sets of collimators with identical geometries but different resistivities were measured. The results are in agreement with the theoretical prediction for the highresistivity (titanium) collimators, but in the case of low-resistivity (copper) collimators the resistive deflections appear to be substantially larger than predicted. Work supported by the US Department of Energy, Contract DE-AC03-76SF00515 Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 200-949 - Impedance Budget for the LCLS Photoinjector Beamline Cecile Limborg-Deprey (SLAC/SSRL, Menlo Park, California), Karl Leopold Freitag Bane, Stephen Michael Gierman, Zenghai Li, Cho-Kuen Ng (SLAC, Menlo Park, California) The LCLS Photoinjector beamline is now in the Design and Engineering stage. The fabrication and installation of this beamline is scheduled for the summer 2006. An impedance budget has been computed to prevent deterioration of the beam quality by wakefields and RF effects while making engineering as simple and cost effective as possible. For a perfect tuning, with ideal fields and component alignment, the 80%-emittance at the end of the injector beamline will be close to 0.9 mm.mrad. No more than 0.1 mm.mrad emittance growth from field and alignment errors will be tolerable in order to meet beam quality requirements. The emittance growth will come from static field errors for a maximum of 0.08 mm.mrad leaving a margin of only 0.02 mm.mrad induced by wakefields and RF perturbations. Transverse wakefields from bellows, flanges, transition pieces and diagnostics tanks were computed using ABCI and MAFIA. Results were compared to analytical formulae when possible. RF perturbations in the gun and in the accelerating structures were computed using S3P. The perturbations were then integrated into PARMELA computations to calculate emittance growth. This work was supported by US Department of Energy, contract No. DE-AC03-76SF00515 Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 201-1033 - Confinement / Fusion of States in Plasma Kinetics Michael G. Zeitlin, Antonina N. Fedorova (RAS/IPME, St. Petersburg) An efficient numerical-analytical approach is proposed for analysis of complex collective dynamics in accelerator/plasma physics models based on the full hierarchy of kinetic equations (BBGKY-like systems of equations). Our calculations are based on variational and multiresolution approaches in the basis of polynomial tensor algebras of various localized bases. We construct the representation for hierarchy of distribution functions and dynamical variables via the exact multiscale decomposition in high-localized nonlinear eigenmodes. The corresponding cut-off of infinite hierarchy, reductions to finite dimensional subsets and accuracy of calculations are based on the new multiscale metric structure of the whole Fock-like space of all distribution functions. We demonstrate the possibility of the existence of energy confinement/fusion in the small regions of the phase space (waveleton configurations). Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 202-1037 - Multi-pass Beam-breakup: Theory and Calculation Ivan Bazarov (Cornell University, Ithaca, New York), Georg Hoffstaetter (LEPP, Ithaca, New York) Multi-pass, multi-bunch beam-breakup (BBU) has been long known to be a potential limiting factor for the current in linac-based recirculating accelerators. New understanding of theoretical and computational aspects of the phenomenon are presented here. We also describe a detailed simulation study of BBU in the proposed 5 GeV Energy Recovery Linac light source at Cornell University which is presented in a separate contribution to this conference. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 203-1070 - Ep Instability in a Coasting Beam Kazuhito Ohmi, Takeshi Toyama (KEK, Ibaraki), Giovanni Rumolo (GSI, Darmstadt) ep instability is discussed for a coasting beam operation of J-PARC 50 GeV Main Ring. Our previous study (PAC2003) was focussed only ionization electron. We now take into account electrons created at the chamber wall due to proton loss and secondary emission with higher yield than ionization. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 204-1117 - Growth and Suppression Time of an Ionrelated Vertical Instability Tsukasa Miyajima, Yukinori Kobayashi, Shinya Nagahashi (KEK, Ibaraki) In the KEK Photon Factory electron storage ring, a vertical instability has been observed in a multi-bunch operation mode. The instability can be suppressed by octupole magnetic field in routine operation. Since the instability depends on a vacuum condition in the ring, it seems that it is an ion-related phenomenon. In order to study this instability, we measured the growth and the suppression time of it with the pulse octupole magnet system, which can produce the octupole field with rise and fall time of around 1.2msec. We obtained the result that the instability was grown slowly compared with to suppress it, and the growth time depended on the fill pattern of the bunch train and the beam current per bunch. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 205-1151 - Measurement of Vertical Quadrupole Frequencies in the Photon Factory Storage Ring Shogo Sakanaka, Toshiyuki Mitsuhashi, Takashi Obina (KEK, Ibaraki) We measured the frequencies of vertical quadrupole oscillations in the 2.5-GeV Photon Factory storage ring at KEK. The measured vertical quadrupole tunes showed remarkable dependence of about -7.5E-5/mA on the bunch current. This contrasts with our previous result of about +4.8E-5/mA (presented in PAC2003) for the horizontal quadrupole tune shift. These results will suggest that the transverse wake forces in a quadrupolar mode contribute significantly to the transverse motions of particles in the Photon Factory storage ring. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 206-1165 - Design of a Third Harmonic Superconducting RF System at PLS Eun-San Kim, Myung-Hwan Chun, Hyung-Gyun Kim, Kyungryul Kim, In-Soo Park, Young-Uk Sohn, Jaeseok Yang (PAL, Pohang) A superconducting third harmonic rf system has been designed in the PLS to raise beam lifetime. Expected beam lifetimes verse beam emittance and operational beam current are presented. A multibunch multiparticle tracking simulation is performed to investigate energy spread, bunch-lengthening and beam instabilities due to the rf cavities. The parameters of the designed rf cavity, designed cryogenic system and estimation of heat load are also presented. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 207-1187 - Vertcal Effective Impedance Measurements at ESRF Thomas Perron, Laurent Farvacque, Eric Plouviez (ESRF, Grenoble) Transverse impedance increase due to installation of low gap vacuum chambers is a general effect observed in synchrotron light sources. ESRF has been sensitive to this increase of impedance, as its single bunch threshold has dramatically decreased. This paper presents a method based on closed orbit distortion measurements, witch allows to measure locally the vertical effective impedance. Results of measurements performed on low gap vacuum chambers and in-vacuum ondulators are presented. As an extension to this experiment, a new global method is discussed. This method, also based on closed orbit measurement allows measuring simultaneously all areas of high impedance in the machine Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 208-1194 - Higher Order Modes in the New 100 and 500 MHz Cavities at MAX-lab Hamed Tarawneh, &#197;ke Andersson, Marlene Bergqvist, Mathias Brandin, Mikael Eriksson, Lars Malmgren (MAX-lab, Lund) The MAX-II electron storage ring operates exclusively in multi-bunch mode with all buckets filled. Damping of the longitudinal higher order mode (HOM) instabilities has successfully been provided by passive third harmonic 1.5 GHz cavities. With a new RF employing three 100 MHz capacity loaded cavities and a fifth harmonic Landau cavity installed, a study of the HOM impedances, and related threshold instability currents, is necessary. Measurements and calculations so far, are being presented. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 209-1275 - Study of the Impact of Resistive-wall Impedance on SOLEIL Ryutaro Nagaoka (SOLEIL, Gif-sur-Yvette) The presence of low-gap chambers for insertion devices, along with a relatively small vertical gap of 25 mm chosen for the standard vacuum chambers, implies a significant influence of the resistive-wall on the beam in the future SOLEIL storage ring. A systematic approach was taken to quantify the net contribution by taking into account all local variations of the non-circular chamber cross-sections as well as beta functions. Low multibunch instability thresholds were found in both transverse planes, indicating the necessity of cures, by means of transverse feedback and/or chromaticity shifts. An effort was made to evaluate the effect of metallic coating, particularly that of NEG, which was adopted in all straight sections. The dependence on both resistivity and thickness of NEG was followed. It is found that, the NEG coating nearly doubles the reactive part of the impedance in the frequency range seen by the beam. Implication on the reduction of the transverse mode-coupling instability threshold is discussed. Incoherent tune shifts arising from the noncircular chamber cross-section were also evaluated, including a non-negligible NEG contribution in the short-range wakes. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 210-1276 - Numerical Evaluation of Geometric Impedance for SOLEIL Ryutaro Nagaoka (SOLEIL, Gif-sur-Yvette) Good knowledge and minimisation of the coupling impedance is of great importance for the future storage ring SOLEIL, envisaged to operate in both high current multibunch and high bunch intensity modes. Threedimensional computations of the geometric impedance of various vacuum chamber components have been made with the code GdfidL, which allows parallel processing with a cluster of computers, rendering the computation with a small mesh size and a long integrated distance feasible. Many treated objects were found to exhibit large asymmetry in the two transverse planes, as well as resonant behaviour at high frequencies, both of which being non-straightforward to follow with the conventional analytical methods and 2-dimensional calculations. In particular, strongly trapped modes found for the flange impedance resulted in an unacceptably low vertical multibunch instability threshold, which urged a modification of the original cavity-like structure. The dependence of the dipole chamber impedance on the vertical slot size was followed to determine the optimal slot opening. Characteristics of the total broadband impedance obtained, along with relative contributions are also presented. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 211-1355 - Curvature-induced Bunch Selfinteraction for an Energy Chirped Bunch in Magnetic Bends Rui Li (Jefferson Lab, Newport News, Virginia) In a linear electron accelerator where high peak current is required, bunch compression is often achieved by sending an energy-chirped bunch through a magnetic chicane. The curvature-induced bunch collective interaction in a magnetic chicane can be studied using effective forces in the canonical formulation of the coherent synchrotron radiation (CSR) effect. In this paper, the effective CSR forces or impedances are analyzed for an energy-chirped bunch with high frequency longitudinal perturbation. The modification of the behavior of the longitudinal effective CSR impedance in magnetic bends from its steady-state linebunch counterpart is found as a result of the energychirping induced longitudinal-horizontal correlation of the bunch distribution in dispersive regions. The implication of this modification of the effective impedance on the longitudinal instability of a bunch under compression is also studied. This work was supported by the U.S. Dept of Energy under Contract No. DE-AC05-84ER40150 Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 212-1372 - Effect of Dark Currents on the Accelerated Beam in an X-band Linac Valery Dolgashev (SLAC/ARDA, Menlo Park, California), Karl Leopold Freitag Bane, Gennady Stupakov, Juhao Wu (SLAC, Menlo Park, California), Tor Raubenheimer (SLAC/NLC, Menlo Park, California) X-band accelerating structures operate at surface gradients up to 120-180 MV/m. At these gradients, electron currents are emitted spontaneously from the structure walls ("dark currents") and generate additional electromagnetic fields inside the structure. We estimate the effect of these fields on the accelerated beam in a linac using two methods: a particle-in-cell simulation code MAGIC and a particle tracking code. We use the Fowler-Nordheim dependence of the emitted current on surface electric field with field enhancement factor beta. In simulations we consider geometries of traveling wave structures that have actually been built for the Next Linear Collider project. Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 213-1373 - Estimation of Electron Cloud in RHIC Lanfa Wang, Ping He, Jie Wei (BNL, Upton, Long Island, New York) Electron cloud due to beam induce multipacting is suspected to be one of the source of pressure rises in RHIC. This paper estimates the possible electron cloud in RHIC. Various parameters related electron multipacting has been investigated. work performed under the auspices of the U.S Deparment Energy Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 214-1379 - Linear Vlasov Analysis for Stability of a Bunched Beam Robert Warnock, Gennady Stupakov (SLAC, Menlo Park, California), Marco Venturini (LBNL, Berkeley, California), James A. Ellison (UNM, Albuquerque, New Mexico) We study the linearized Vlasov equation for a bunched beam subject to an arbitrary wake function. Following Oide and Yokoya, the equation is reduced to an integral equation expressed in angle-action coordinates of the distorted potential well. Numerical solution of the equation as a formal eigenvalue problem leads to difficulties, because of singular eigenmodes from the incoherent spectrum. We rephrase the equation so that it becomes non-singular in the sense of operator theory, and has only regular solutions for coherent modes. We report on a code that finds thresholds of instability by detecting zeros of the determinant of the system as they enter the upper-half frequency plane, upon increase of current. Results are compared with a time- domain integration of the nonlinear Vlasov equation, and with experiment, for a realistic wake function for the SLC damping rings. U. S. Department of Energy constracts DE-AC0376SF00515, DE-AC03-76SF00098, and DE-FG0399ER41104 Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 215-1384 - Resistive Wall in the Regime of Anomalous Skin Effect Boris Podobedov, Jiunn-Ming Wang (BNL/NSLS, Upton, Long Island, New York) Resistive-wall wake functions and impedances have been extensively studied by many authors. These treatments are usually limited to the regime of normal skin effect, and therefore do not describe correctly the resistive wall contributions of metallic vacuum chamber components at cryogenic temperatures. With the recent emergence of small-gap super-conducting undulators as a possible candidate to generate tunable hard-x-ray photons, there is a need to accurately calculate their effects on beam dynamics, as well as to calculate the resistive-wall generated heat. Starting with the well-known expressions for the surface impedance in the extreme anomalous skin effect regime, we derive most of the resistive wall related concepts commonly used in accelerators, such as wake functions, wake potentials, loss factors, etc. We discuss the short-range and long-range wakefield regimes and give examples for beam-induced heat, beam-induced energy spread, and resistive wall instability due to small-gap superconducting undulators under consideration for the NSLS-II light source at BNL. Work supported by US DOE Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 216-1413 - Beam-beam Simulations for an Electronlight Ion Collider Kevin Beard, Yaroslav Derbenev, Geoffrey Arthur Krafft, Rui Li, Lia Merminga, Byung Chel Yunn, Yuhong Zhang (Jefferson Lab, Newport News, Virginia) One of the most outstanding issues concerning the luminosity of a linac-on-ring electron-light ion collider (ELIC) is the beam-beam effect. A simulation code, SWARM, previously used to model beam-beam effects of the e+ e- collisions in a linac-ring collider,[*] was modified into SWARMC for the beam-beam effects in the linac-ring electron-ion collider. In this paper we present simulation results on the stability limits using recent ELIC design parameters. This study also includes circulator ring and flat beams for the design. This work was supported by the U.S. Dept of Energy under Contract No. DE-AC05-84ER40150 * Strong-strong Simulation on the Beam-Beam Effect in a Linac-Ring B factory, R. Li and J. J. Bisognano, Phys. Rev. E 48, 3965-3979 (1993) Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 217-1460 - Emittance Control for very Short Bunches Karl Leopold Freitag Bane (SLAC, Menlo Park, California) Many recent accelerator projects call for the production of high energy bunches of electrons or positrons that are simultaneously short, intense, and have small emittances. Two examples of such projects are linear colliders, such as the GLC/NLC, and Self-Amplified Spontaneous Emission (SASE) FEL's, such as the Linac Coherent Light Source (LCLS). A major challenge in such projects is keeping in check forces that increase short bunch emittances in accelerator components, such as: wakefields of accelerator structures, collimators, and surface roughness, and coherent synchrotron radiation (CSR). We describe such forces and their control. Work supported by Department of Energy contract DE--AC03--76SF00515 Type of presentation requested: This is an Invited Oral Presentation Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 218-1490 - Dipole Mode Study of RDDS1 Accelerating Structure Using an Off-Axis Wire Measurement Nicoleta Baboi (SLAC/ARDB, Menlo Park, California), Gordon B Bowden, Roger Jones, James R. Lewandowski, Juwen W Wang (SLAC/ARDA, Menlo Park, California) Wakefields in accelerating structures can cause emittance dilution in linear colliders. The constituent modes of the wakefields have been measured with particle beams and these have been found to be well predicted by a spectral function method [*]. However, bench-top measurements are desirable, as they are more efficient and do not require a particle beam. One such method is the wire method [**,***], which has been used in the past for measuring the impedance of many accelerator components. At SLAC a set-up has been designed and fabricated, which uses a single wire to investigate dipole modes in accelerating structures for the NLC (Next Linear Collider). Individual modes can be isolated and their impedance calculated from fits of experimental values of S21 as a function of frequency for each wire position. The frequency of the unperturbed modes can be obtained in the limit of the centered wire, where the perturbation is minimal. This technique reveals important information on alignment of accelerator cells relative to each other. Experimental results and analysis of modes of the first dipole band of an X-band accelerator known as RDDS1 (Rounded Damped Detuned Structure). Supported by the DOE, grant number DE-AC0376SF00515 [*] R.M. Jones et al, LINAC96, also SLAC-PUB 7287 (1996) [**] M. Sands and J. Rees, SLAC PEP-95 (1974) [***] A. Faltens et al., Proc. 8th Int. Conf. HighEnergy Accel., Geneva, p. 338 (1971) Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 219-1493 - Simulations of Wire Measurement of Wakefields in Accelerating Structures Nicoleta Baboi (SLAC/ARDB, Menlo Park, California), Roger Jones (SLAC/ARDA, Menlo Park, California) The coaxial wire method to measure transverse wakefield characteristics is a more efficient method than methods using a beam. The frequency domain method studies individual modes composing the wakefields. The method is generally based on simplified circuit models applicable to particular types of structures, as for example to short objects or to long smooth ones, where the impedance is uniformly distributed. We present an analysis of the wakefield excited in multi-cell X-band accelerator structures coupled to a wire. A simulation is made of a full structure. A direct interpretation of the wakefield and constituent kick factors is made from a simulation of the wire measurement. The motivation behind the modeling is that it will aid the interpretation of wire measurements of wakefields in multi-cell accelerator structure coupled to manifolds for the GLC/NLC (Global Linear Collider/Next Linear Collider). Supported by the DOE, grant number DE-AC0376SF00515 Type of presentation requested: Poster Classification: [D04] Instabilities - Processes, Impedances, Countermeasures 220-241 - Toroidal Cavity Loaded with an Electron Beam Edmond David Gazazyan (YerPhI, Yerevan), Davit Kalantaryan (CANDLE, Yerevan; YSU, Yerevan), Vitaly Kocharyan (DESY, Hamburg), Taron Harutyunyan (YSU, Yerevan) Three problems have been considered in this paper: the development of Maxwell's equations strict solution method to define the electromagnetic own values and own functions of the toroidal cavity; the radiation of the charged bunch rotating along the average radius, and, at last, the consideration of the case of a toroid filled with dielectric medium. The peculiarities of this radiation have been investigated as well. We suppose to consider the case when toroid is filled with plasma like a disperse medium. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 221-322 - Modelling of Accelerating Structures with Finite-difference Time-domain Method Eugene V. Pickulin, Victor Malyshev (LETI, SaintPetersburg), Sergey Silaev, Yuri Svistunov (NIIEFA, St. Petersburg) A finite-difference time-domain (FDTD) method is very popular for electromagnetic field modeling. The practical interest in the method is the ability to calculate fields in time domain at any time point in the accelerating structure. That is to say the FDTD method is able to model transient process taking into account the peculiarity of RF power input device. A FDTD approach for modeling of alternate phase focusing structure is presented in this paper. The modeling of lossy metals is a problem in classical formulation of FDTD method. This matter is investigated and one of the solutions is presented in this paper. There are some problems of signal processing when using timedomain method for resonant structure modeling. The matters of mode determination are also investigated and presented in this paper. The simulation results are compared with experimental data. D.V. Efremov Scientific Research Institute of Electrophysical Apparatus Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 222-415 - Instability Thresholds and Generation of the Electron-cloud in the GLC/NLC and Tesla Damping Rings Mauro Torino Francesco Pivi, Tor Raubenheimer (SLAC/NLC, Menlo Park, California) In the beam pipe of the Damping Ring (DR) of a linear collider, an electron cloud may be produced by ionization of residual gas and secondary emission. This electron cloud can reach equilibrium after the passage of only a few bunches. We present recent computer simulation results for the main features of the electron cloud generation in the GLC/NLC main DR and for the TESLA DR. Single and multi-bunch instability thresholds are also calculated for the NLC main DR. The results are obtained by the computer simulation codes HEAD-TAIL and POSINST, which were developed to study the electron cloud effect in particle accelerators. Work supported by Department of Energy contract DEAC03-76SF00515 Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 223-439 - Comparison of Rate Equation Models for Equilibrium Beam Parameters Rainer Hasse, Oliver Boine-Frankenheim (GSI, Darmstadt) We calculate equilibrium beam parameters from the counteraction of intrabeam scattering (IBS), electron cooling (EC) and target interaction for typical beams in the GSI cooler storge ring ESR and in the proposed HESR. This work is complementary to kinetic modeling efforts at GSI. We developed an easy to use simulation tool that includes various models for the EC rates and the IBS rates, averaged of the detailed ring lattices. The obtained scaling of the equilibrium parameters with beam current and energy are compared with existing experimental data from the ESR and with kinetic simulation results for the HESR. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 224-465 - Ordered Ion Beam in Storage Rings Alexander Smirnov, Igor Meshkov, Anatoly Olegovich Sidorin, Evgeny Syresin, Grigory Troubnikov (JINR, Dubna, Moscow Region), Takeshi Katayama (CNS, Saitama), Hiroshi Tsutsui (SHI, Tokyo) The using of crystalline ion beams can increase of the luminosity in the collider and in experiments with targets for investigation of rare radioactive isotopes. The ordered state of circulating ion beams was observed experimentally at several storage rings. In this report a new criteria of the beam orderliness are derived and verified with BETACOOL code with using molecular dynamics technique. The sudden reduction of momentum spread observed on a few rings is described with this code. The simulation shows a good agreement with the experimental results. The code has then been used to calculate characteristics of the ordered state of ion beams for ion rings which will have experimental programs for the study of crystalline beams. A new strategy of the cooling process is proposed which permits to increase the linear density of the ordered ion beam. Work is supported by the RFBR grant #02-02-16911 Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 225-473 - MPI Parallel Computation of Wake Fields by Using Time Domain Boundary Element Method Kazuhiro Fujita, Hideki Kawaguchi (Muroran Institute of Technology, Muroran), Thomas Weiland, Igor Zagorodnov (TEMF, Darmstadt) This paper presents wake field and wake potential calculation by using the Time Domain Boundary Element Method (TDBEM) on the MPI parallel computation system. The TDBEM is based on the electric field integral equation (EFIE) and the electric field integral equation (MFIE) in time domain. In wake field simulation, an important advantage of these equations is that electromagnetic fields in an accelerator cavity are explicitly expressed as a sum of charged particle self-fields and wake fields in time domain. On the other hand, the TDBEM has serious difficulties in practical numerical simulation, such as numerical instabilities, huge memory requirements, and heavy calculation cost. However, recent remarkable progress of computer performance makes the TDBEM possible to be used in practical simulations. According to these backgrounds, we apply the TDBEM to wake field simulation in the MPI parallel computer system. Simulation results are compared with that of a conventional method, the Finite Integration Techniques (FIT), and good agreements are shown. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 226-474 - MATLAB Based TPSA Toolbox for the Particle Mapping Through Three-dimensional Magnetic Fields Ho-Ping Chang, Chin-Cheng Kuo (NSRRC, Hsinchu) Based on the object-oriented programming of MATLAB, a truncated power series algebra (TPSA) toolbox has been developed. The TPSA toolbox as a differential algebra has been applied to realize the algorithm of particle mapping through three-dimensional magnetic field configurations. The capability of symbolic calculation by using this MATLAB-based TPSA toolbox can be used for the theoretical simulation and modeling in accelerator physics. Associated with the use of MATLAB in the control of machines, one can derive the real machine with a virtual machine model built in MATLAB. In this paper, the method of symplectic mapping of three-dimensional magnetic fields is introduced and the structure of TPSA toolbox is presented. Applications of TPSA toolbox in the symplectic mapping of three-dimensional magnetic fields are demonstrated as well. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 227-536 - Particle-in-cell Based Beam Dynamics Simulations with the Conformal Finite Integration Technique and Noise Suppression Thomas Lau, Erion Gjonaj, Thomas Weiland (TEMF, Darmstadt) We describe the application of the Conformal Finite Integration Technique (CFIT) in the time-domain to beam dynamics simulations with the Particle-In-Cell (PIC) method. The conformal method results in a more accurate field solution for complicated geometries than the traditional FIT approach. For long-time simulations we investigate several methods for the suppression of the spurious noise, typically emerging in PIC simulations. The results are compared with the analytical solution for a bunch in a semiinfinite waveguide for each of the presented methods. As a realistic example simulations for the RF-Gun installed at Photo Injector Test Facility in DESY Zeuthen (PITZ) will be presented. T. Lau: Work supported by DESY Hamburg Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 228-548 - Review and Comparison of Simulation Codes Modeling Electron-Cloud Build Up and Instabilities Frank Zimmermann, Elena Benedetto, Francesco Ruggiero, Daniel Schulte (CERN, Geneva), Michael Blaskiewicz, Lanfa Wang (BNL, Upton, Long Island, New York), Giulia Bellodi (CCLRC/RAL/ASTeC, Chilton, Didcot, Oxon), Giovanni Rumolo (GSI, Darmstadt), Kazuhito Several computer codes written at various laboratories are employed for modelling the generation and the consequences of an electron cloud. We review the most popular of these programs, which simulate either the build of an electron cloud or the instabilities it produces, and we compare simulation results for identical, or similar, input parameters obtained from the various codes. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 229-580 - Simulation of Multi-bunch Multi-turn Instabilities in High Energy Proton Rings: Algorithms and Results Alexander Koschik (CERN, Geneva) A simulation code to study collective effects in multibunch proton machines has been developed and applied to the CERN SPS and LHC. The 3D simulation program allows the exploration of long-range effects due to resistive-wall and HOMs in circular, elliptic and rectangular vacuum chambers also for uneven filling schemes. The code has been benchmarked with measurements in the SPS. Results obtained for LHC, including beam stability and emittance growth, are presented and discussed. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 230-643 - Coupling Coefficients in the Inhomogeneous Cavity Chain Kateryna Kramarenko, Mykola Ivanovich Ayzatskiy (NSC/KIPT, Kharkov) In this paper a mathematical method on the base of a rigorous electrodynamic approach for description of inhomogeneous chain of cylindrical cavities is presented. The form of the obtained for chosen amplitudes set of equations is similar to the set of equations that describe the simple coupled circuit chain. As the cavity have the infinite number of resonant frequencies, to obtain the coupling coefficients one have to solve additional infinite set of linear equations with coefficients that depend on the frequency. Using the developed method in the case of inhomogeneous cavity chain we calculated the dependence of the coupling coefficients on frequency and geometrical sizes with taking into account the 'long-range' coupling. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 231-645 - Investigation of Numerical Noise in PICCodes Sascha Schnepp, Stefan Setzer, Thomas Weiland (TEMF, Darmstadt) For a detailed analysis of the dynamics of space charge dominated beams a combination of Particle-in-Cell methods with efficient FDTD schemes is widely used. Besides the calculation of the forces acting on the particles the interaction of the beam itself with the surrounding geometries is taken into account. A drawback of this method is its sensitivity to numerical noise in the spectral range nearby the grid cutoff frequency. In this paper we will present results of detailed studies of the impact of the bunch shape on the level of the numerical noise. Furthermore an a priori scheme for efficient noise suppression is derived which does not affect the FDTD update algorithm. S. Schnepp: Work supported by HGF under contract VHFZ-005; S. Setzer: Work supported by DFG under contract GRK410/3 Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 232-673 - Reengineering and Refactoring Large-scale Scientific Programs with the Unified Process: A Case Study with OSIRIS PIC Program Jincheol Benjamin Kim (POSTECH, Pohang, Kyungbuk), Hyyong Suk (KERI, Changwon), In Soo Ko (POSTECH, Pohang, Kyungbuk; PAL, Pohang) As science and engineering problems get more complex, programs which help modelling complicated problems larger and more sophisticated. This trend makes us recognize the importance of well-established engineering disciplines not only in designing large-scale scientific programs for special purposes in appropriate development time but also in importing the programs from other research group and refactor it for conveniences and more advanced applications. OSIRIS is a large-scale PIC code which was developed at UCLA for modelling of laser-plasma interactions. OSIRIS was reengineered and documented in UML by our group and ported to Linux cluster machine of 8 nodes. We report our current status of developing the extended version of OSIRIS, which was named as OSIRISX, and how a large-scale scientific programs can be enhanced efficiently with the Unified Process. Some guidelines in designing and refactoring large-scale scientific codes are presented and discussed. A common architecture model of numerically intensive programs for large-scale computing is suggested , and it is discussed how we can use it for rapid development and prototyping of scientific programs. We also discuss future challenges and prospects in OSIRIS-X development. This work was supported by the Korea Research Foundation Grant(KRF-2003-015-C00121) J. B. Kim and I. S. Ko also appreciate the financial support from CHEP at Kyoungpook National University Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 233-727 - Further Results on the Analytic Expression for the Radial Component of Magnetic Field Produced by a Finite Length Solenoid Dan Timus, Scarlat Florin (INFLPR, Bucharest - Magurele) The magnetic field can be sometimes one of the main parameters in accelerator design, operation, understanding or improvement. It influences the beam dynamics in the generating, forming, accelerating or transporting stages of the accelerator. As effect to the usefulness of knowledge of this magnitude, analytical expressions for the radial magnetic field of the iron-free, finite length solenoid are given. The radial magnetic field component is presented in terms of computationally tractable complete elliptic integrals or related desk computable expressions. Series expansions are proposed. Recurrence relations and accuracy of finite series depending on the domain of definition are commented. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 234-736 - Implementation of Higher Order Moments for Beam Dynamics Simulation with the V-Code Wolfgang Ackermann, Thomas Weiland (TEMF, Darmstadt) Based on the moment approach V-Code is implemented to simulate charged particle beam dynamics in linear accelerators. Its main aim is to perform elementary studies in those cases when the beam can be considered as a whole and thus making the motion of individual particles negligible in the overall view. Therefore an ensemble of particles can be well described by the moments of its phase-space distribution and the regarded order influences naturally the achievable accuracy as well as the computational effort. Since the well known moment equations generally are not closed, a technique to limit the number of involved moments has to be applied. So far all moments up to the second order have been considered whereas higher order moments are truncated. As a further step towards higher accuracy the influence of higher order moments has to be investigated. For this reason additional third-order equations are implemented into the V-Code and the achieved results are compared with previous secondorder-based ones as well as with higher order approximations. Work supported by DESY Hamburg Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 235-748 - BCALC - Software for Analysis and Visualization of the Results of Measured Isochronous Cyclotrons Magnetic Fields Ivan Ivanenko, Jozef Franko, Jozef Keniz, Stanislav Kralik (JINR, Dubna, Moscow Region) The work is devoted to the development of software designed to analyze the result of measured isochronous cyclotrons magnetic fields. Software allows one to make calculation of basic magnetic field properties and compare up to six results of analyzed magnetic field. Obtained results, such as average field, flutter, betatron frequency, harmonic?s amplitude and phases, are presented graphically and can be saved as text files for further processing. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 236-752 - Beam Dynamic Simulation in Spatially Periodic RFQ Accelerating Structure Vladimir Pershin, Andrej Kolomiets, Sergey Minaev, Boris Sharkov (ITEP, Moscow), Stanislav Vinogradov (MNIRTI, Moscow), Alexander Durkin, Igor Shumakov (MRTI RAS, Moscow) A spatially periodic RFQ accelerating structure is considered for the second stage of the TWAC new intense injector linac behind of conventional RFQ. The results of 3D beam dynamic simulation in SP-RFQ are presented. Special modification of LIDOS code for SP-RFQ dynamic investigations has been developed. Simulations validated a possibility to get good performance of the beam at the SP-RFQ output. LIDOS simulation results demonstrate good agreement with previous calculation. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 237-878 - Simulation of RF Control of a Superconducting Linac for Relativistic Particles Markus Huening (Fermilab, Batavia, Illinois) We present a code to simulate the rf field and field control in a superconducting linac for relativistic heavy particles. In such a linac the field stability is strongly influenced by the longitudinal beam dynamics. So the code has to simulate both the field and the beam dynamics with the resulting varying beam loading. Other effects included in the simulation are Microphonics and Lorentz force. The code can simulate both single cavity and vector sum control. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 238-881 - Finding the Circular Magnet Aperture which Encloses an Arbitrary Number of Midplane-centered Beam Ellipses J. Scott Berg (BNL, Upton, Long Island, New York) In specifying the magnets for an accelerator, one must be able to determine the aperture required by the beam. In some machines, in particular FFAGs, there is a significant variation in the closed orbit and beta functions over the energy range of the machine. In addition, the closed orbit and beta functions may vary with the longitudinal position in the magnet. It is necessary to determine a magnet aperture which encloses the beam ellipses at all energies and all positions in the magnet. This paper describes a method of determining the smallest circular aperture enclosing an arbitrary number of midplane-centered ellipses. This research has been supported by the U.S. Department of Energy under contract no. DE-AC02-98CH10886 Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 239-882 - Maps for Fast Electron Cloud Simulations at RHIC Ubaldo Iriso, Steve Peggs (BNL, Upton, Long Island, New York) Luminosity in several colliders, including RHIC, is limited by the electron cloud effect. A careful re-distribution of the bunch pattern around the azimuth of a ring can decrease the average electron density for a fixed total bunch current, allowing the luminosity to be increased. In the search for a bunch pattern that maximizes the luminosity, a fast computer simulation is a key requirement. We discuss the use of fast polynomial maps to simulate the bunch to bunch evolution of the electron density at RHIC. Such maps are empirically derived from existing conventional slow simulation codes. Work supported by U.S. DOE under contract No DEAC02-98CH10886 Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 240-973 - The Structure of the High-frequency Focusing Cells in the Linear Ion Accelerators Borys Zajtsev, Vasilij Bomko, Olexander Dyachenko, Anatolij Kobets, Zinaida Ptukhina, Sergej Tishkin (NSC/KIPT, Kharkov) The results development version of the high-frequency quadrupole doublet (RFQD) are presented. Due to simple design solutions, the RFQD provides radial and phase stability of high-current ion beams having high acceleration rate. The RF focusing doublet consists of two cells 3/2 ?? in length each and includes two quadrupoles having the opposite direction of the electric field applied between ?fingers?. Each cell includes 3 gaps; two of them are axial symmetric and are located in accelerating half-periods of the RF field. In the gap with the negative field, the fingers are located which form a quadrupole along the whole length ??/2. The distance between fingers and between finger ends and drift tubes is defined by the aperture value. Two spacings between the fingers and drift tubes are also accelerating gaps in each plane of the fingers. To form such an RFQD accelerating and focusing structure between drift tubes to which a potential is applied, two tubes holding quadrupole electrodes are added. Such a doublet is placed in the sequence of accelerating cells of the traditional type in different structures such as interdigital structures being used for acceleration of heavy ions, and structures for accelerating high-current proton beams such as CCDTL, spoke-cavity, re-entrant-cavity and others. That spares the bulk magnetic quadrupoles presenting technologic difficulties. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 241-974 - Numerical Calculation of Fields in the Structures with High-frequency Quadrupole Focusing with the Method of Auxiliary Charge Vasilij Bomko, Zinaida Ptukhina, Sergej Tishkin, Borys Zajtsev (NSC/KIPT, Kharkov) A variant of the integral equation method, the method of auxiliary charges, is used for calculating quasielectrostatic fields in an RF quadrupole. According to the method, a potential of the electrostatic field is presented as a superposition of point charge fields, the point charges being located outside a region studied at a certain distance from the region. Magnitudes of charges N was determined from the boundary conditions in N points.Specifying the point charges is equivalent to use of a certain charge density on electrode surfaces. The given algorithm is realized in the QFLD code. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 242-975 - Dynamics of High-current Ion Beams in the Accelerator Combining APF and RFQD Vasilij Bomko, Zinaida Ptukhina, Sergej Tishkin (NSC/KIPT, Kharkov) The results of investigations of the high-current bean dynamics are presented. Acceleration rate and radial and phase stability are provided by combination of RF focusing of two types alternating phase focusing (APF) and focusing with the RF quadrupole doublets (RFQD). This structure of the accelerating and focusing channel, from one hand, allows us to increase the limiting current of the beams being accelerated, and from other hand to achieve a high acceleration rate. The investigation of the beam dynamics at different stage of acceleration was performed for the focusing period where the synchronous phase changes from a region of negative values to a region of positive phases which are small in absolute value. With that, the main focusing effect is by way of RFQD. The optimization of the accelerating and focusing channel with the sequence of cells having &#1040;/q=4 with APF and RFQD in the energy region of 30-100 keV/n has been performed. The efficiency of the RFQD for accelerating high-current proton beams is also investigated. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 243-978 - Particle-in-cell Numerical Simulation of the Particle Dynamics in ECR Source Grigori Shirkov (JINR, Dubna, Moscow Region), Vladimir Alexandrov, Vladimir Shevtsov (JINR/PPL, Dubna, Moscow Region) A summary of recent development of physical and mathematical basements and the first version of computer code library based on the particle-in-cell method are presented. The code library is aimed for the threedimensional (3D) simulation of the ECR plasma and ion production in the ECR ion source. The particle-in-cell (finite particle) method is one of the most powerful methods for the numerical simulation of multicomponent ECR plasma and electron-ion beams. This method allows studying the detailed characteristics of plasma, taking into account the distribution functions of particles (spatial, velocity and energy distributions), real self and external fields, particleparticle interactions and many other effects. This technique promises to provide very precise numerical simulations and optimizations of ECR ion sources. The first results of simulations of ECR source plasma are presented. It has been shown that a complete and adequate description of ECR plasma requires the full-scale 3D model and computer codes. This is out of frames of existed project and could be an aim of some addition investigations. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 244-1023 - Simulation Technique for Study of Transient Self-consistent Beam Dynamics in RF Linacs Viktor Mytrochenko, Anatoliy Opanasenko (NSC/KIPT, Kharkov) The report describes a simulation technique for study of unsteady self-consistent dynamics of charged particles in resonant linacs. The technique allows simulating the linacs that consist of resonant cavities and traveling wave sections. The proposed approach is based on unsteady theories of excitation of resonant cavities and waveguides by a beam of charged particles and RF feeders. The theory of waveguide excitation is generalized to the case of spatially inhomogeneous traveling wave structures. The system of self-consistent differential equations for fields and motion of particles is integrated over time and space. The SUPERFISH code is used to evaluate characteristics of the axially symmetrical cavities and traveling wave sections. The PARMELA code is applied to simulate motion of the particles at each time step of the integration. In such a way the fields and beam characteristics in the axially symmetrical accelerating structures can be obtained for transient and steady state operation. Description of the algorithm and results of its validation are presented. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 245-1092 - Upgraded Symplectic 3D Beam Tracking of the J-PARC 3 GeV RCS Masashi Shirakata, Hiroshi Fujimori, Yoshiro Irie (KEK, Ibaraki) The J-PARC 3 GeV ring is a rapid cycling synchrotron which consists of the large bore size magnets. The beam tracking with the 3D distributed magnetic fields is kept developing in order to investigate the beam injection process. In the case of the high intensity hadron accelerator, an accurate beam simulation is important for the designing because a very small amount of beam loss can be critical from the maintenance point of view. In order to improve the tracking accuracy and to save the calculation time, the symplectic integration with the fractal decomposition method has been introduced. The updated simulation results of the beam injection on the J-PARC 3 GeV RCS and the improved performance of `GenericSolver' are presented in this paper. The quadrupole fields are also treated as the 3D distributed magnetic fields because they interfered with the bump magnet fields. The remarkable features on the large bore magnet system in the ring accelerator are also discussed. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 246-1101 - Simulation Study of the Beam Loading Effect in an RF Gun Katsuhiro Shinto, Hiroyuki Hama, Fujio Hinode, Atsushi Miyamoto, Takumi Tanaka (LNS, Sendai) Because of simple structure and apparatus, a thermionic rf gun has been considered to be employed in a new pre-injector for the future synchrotron radiation facility at Tohoku University. A 3-D beam simulation code for the rf gun using a Finite Difference Time Domain (FDTD) method to solve Maxwell's equations has been developed. In the rf gun, especially in case of the high beam current, electromagnetic fields induced by the electron beam are considered to affect beam characteristics such as beam emittance and energy spread. In the FDTD method, because the Maxwell?s equations are able to be solved including the term of current density of the charge, the electromagnetic fields produced by both the external rf power and the electron beam can be anticipated. Using the simulation code, beam loading effects on the characteristics of the electron beam extracted from the rf gun is investigated. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 247-1198 - Parallel Particle in Cell Computations with GdfidL Warner Bruns (WBFB, Berlin) The electromagnetic field solver GdfidL has been extended to compute with free moving charges. For computing in parallel, GdfidL partitions the computational volume in many small subvolumes. Each processor computes the electromagnetic field in its part of the whole volume. In addition to the normal field update equations, the movement of the particles must be computed from the Lorentz-force, and the convection current due to the moving charges must be computed and be used to change the electric field near the particle. For each particle, these computations are performed by the processor which is responsible for the volume where the particle is in. Details of the parallel implementation of the used algorithm, Particle in Cell, are given. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 248-1209 - Calculation of Electron Beam Dynamics of Accelerator Lue-200 Vladimir Aleksandrov, Vladimir Shevtsov (JINR/PPL, Dubna, Moscow Region), Nikolay Kazarinov, Mikhail Sazonov, Anatoly Sumbaev (JINR, Dubna, Moscow Region) The results of calculation of focusing and transportation systems of an electron beam of accelerator LUE-200 - the driver of a pulse source of resonant neutrons (IREN) JINR (Dubna) are presented. Calculations of the beam dynamics in the traweling wave accelerator were carried out with the help of PARMELA code for a designed configuration: elements of accelerating system, system of magnetic focusing of the accelerator from an electron source up to the end of accelerating structure, the channel of transportation of the beam from an output of accelerating structure up to a target. Modelling modes of acceleration and transportation for various parameters of the focusing magnetic field in the accelerator and the channel, various currents of the beam and various initial distributions of electrons is lead. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 249-1210 - Electron Beam Dynamics Simulations for the Low Emittance Gun Micha Dehler, Simon Leemann (PSI, Villigen), Arno Candel (ETH, Zürich) We report on theoretical simulation performed for the development of a high brightness, field emitter based electron gun suitable for an Angstrom wavelength free electron laser\cite{LEG}. First simulations have been done with available codes in 2 1/2D and 3D for basic gun configurations showing the global and local (due to the granularity of the emitter array) effects on the emittance dilution.Design and construction started on a test setup consisting of a 100 keV electron gun with solenoidal focusing and a diagnostics module. In addition to solenoid focussing, anode shaping will be investigated in order to compensate for non-linear fields leading to space charge blow-up. For advanced simulations of field emitter based guns allowing to resolve individual emitters and to capture the influence of mechanical imperfections, a massive parallel code for 3D particle-in-cell simulations is in development. The electromagnetic field solver is fully functional and the particle tracker has been completed in its basic structures. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 250-1233 - Modeling of Beam-loading Effect Vladimir Shevtsov, Vladimir Aleksandrov (JINR/PPL, Dubna, Moscow Region), Nikolay Kazarinov, Mikhail Sazonov, Anatoly Sumbaev (JINR, Dubna, Moscow Region) Analytical estimations and results of numerical simulation of beam-loading effect in accelerating sections of LUE-200 are done. Results of simulation of electron beam dynamics in linac and transportation line are presented. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 251-1241 - A more Accurate Approach to Calculating Proton Bunch Evolution under Influence of Intra-beam Scattering in a Storage Ring. Ilia Agapov, Ferdinand J Willeke (DESY, Hamburg) Some perturbations of discrete nature are known to influence the performance of a proton storage ring, contributing to parasitic background, decay of beam currents and bunch tail buildup. Such are, for example, intra-beam scattering and residual gas scattering .These processes are to a big extent described by existing analytical theory. The latter, employing a large amount of averaging, usually neglects effects arising from system nonlinearity. So, the motion of tail particles in the presence of a sufficiently nonlinear RF voltage under influence of intra-beam scattering strongly deviates from the average across the bunch and the analytical approach seems inadequate for it. To overcome this situation we have developed more accurate numerical methods for calculations of bunch evolution under influence of a rather broad class of jump-like perturbations. Here we present the computational algorithms and their application to assessment of coasting beam and proton background in HERA-p. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 252-1270 - A ROOT Interface to the Unified Accelerator Libraries Raymond Patrick Fliller III, Nikolay Malitsky (BNL, Upton, Long Island, New York) The Unified Accelerator Libraries software is an open source accelerator simulation environment providing support for associations between diverse accelerator algorithms and accelerator components. Accelerator algorithms are implemented using C++, connected by Common Accelerator Objects (such as Element, Bunch, Twiss, etc.). A PERL interface is provided to simplify the use and integration of each library in simulations.The ROOT Object Oriented Data Analysis Framework is a set of C++ classes surrounding a C++ interpreter named CINT. These classes provide various data analysis, visualization, programming, and I/O functions useful for the analysis of simulations and data. A ROOT interface to the UAL provides the advantages of including analysis of the simulation in the same program as the simulation code and easier access to the UAL codes. This paper dicusses the implementation of a ROOT interface to the UAL. We also discuss a set of classes based on ROOT that are useful for the analysis of accelerator simulations and data. Work performed under the auspices of the U.S. Department of Energy Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 253-1290 - MADX-UAL Suite for Off-line Accelerator Design and Simulation Nikolay Malitsky, Raymond Patrick Fliller III, Fulvia Caterina Pilat, Vadim Ptitsyn, Steven Tepikian, Jie Wei (BNL, Upton, Long Island, New York), Frank Schmidt (CERN, Geneva), Richard Michael Talman (LEPP, Ithaca, New York) We present here an accelerator modeling suite that integrates the capability of MADX and UAL packages, based on the Standard eXchange Format (SXF) interface. The resulting environment introduces a one-stop collection of accelerator applications ranging from the lattice design to complex beam dynamics studies. The extended capabilities of the MADX-UAL integrated approach have been tested and effectively used in two accelerator projects: RHIC, where direct comparison of operational and simulated data is possible, and the SNS Accumulator Ring, still in its design phase. Work supported by the SNS through UT-Battelle, LLC, under contract DE-AC05-00OR22725 for the U.S. Department of Energy Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 254-1305 - Coupled S-Parameter Calculation for the Computation of RF Properties of Complex Structures Karsten Rothemund, Hans-Walter Glock, Dirk Hecht, Ursula Van Rienen (Rostock University, Rostock) RF properties like eigenfrequencies and eigenmodes of accelerator components are usually computed by numerical field solving codes. In case of complex structures where full 3D modelling is required the numerical effort often exceeds the available capabilities of modern computer hardware. For these cases a method called "Coupled S-Parameter Calculation (CSC)" has been developed. This method is based on the scattering parameter description of the components of a complex structure found with field solving codes or analytically for components of special symmetry. Once calculated the S-parameters of a component may be reapplied if the component repeatedly occurs in the complex structure. The paper presents the formalism of the CSC method and its application for the calculation of eigenfrequencies and Q-values of modes in the 3rd harmonic section of the TTF FEL facility. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 255-1343 - A Fast C++ Library for the Evaluation of Truncated Taylor Series Using Metaprogramming Methods Andreas C. Kabel (SLAC/AC, Menlo Park, California) The fast evaluation of multivariate polynomials plays an important role in particle tracking studies for circular accelerators, as the one-turn map of the ring or the transport maps between elements can be represented as a truncated Taylor series of relatively high order in the phase-space variables. Tracking studies can require 10^11 or more evaluations of such a map, so clearly, fast algorithms are required. We present a novel approach using meta-programming techniques available in the C++ language. Also, our code utilizes parallel floating-point instructions available on modern workstation processors. The performance of our code rivals or exceeds that of assembly-language codes hand-coded for a particular dimension and truncation degree, surpassing conventional algorithms coded in high-level languages such as Fortran or C by factors of 2...8 in speed. We provide benchmarking results and describe the interface of our library to C++, Fortran, and C codes. Work supported by Department of Energy contract DEAC03-76SF00515 Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 256-1375 - Development of a 3D-Gun-Code based on a Charge Conserving Algorithm Erion Gjonaj, Thomas Weiland (TEMF, Darmstadt) Recent efforts in the development of electron sources are aiming at high intensity electron beams, beyond the limitations posed by space-charge effects in conventional guns. Field emitter arrays, multi-beam and sheet-beam guns are a few examples of emerging technology, which require an accurate characterization of the limiting current in complicated 3D-geometry. The newly developed gun code at the Technische Universität Darmstadt, implements a novel approach to the numerical simulation of space-charge-limited electron emission, which is based on the local conservation of charge for arbitrary cathode surfaces. It is shown that, imposing exact charge conservation using the CAD-data of the geometry eliminates the spurious oscillations in the charge density, which typically arise when the piecewise-planar diode approximation is applied in the simulation. The accuracy of this approach is demonstrated in the validation study of a spherical diode and in the large-scale simulation of a Traveling Wave Tube amplifier. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 257-1388 - Emittance Diluition due to 3D Perturbations in RF Photoinjectors. Marcello Quattromini, Luca Giannessi, Concetta Ronsivalle (ENEA C.R. Frascati, Frascati (Roma)) The predictions from different simulation codes are compared to investigate the effects of non axis-symmetric conditions, fluctuations in cathode's quantum efficiency and other sources of dishomogeneities in the performances of a typical RF photoinjector. The layout includes a RF gun and a focusing solenoid in a configuration aimed at minimizing the emittance growth due to space charge effects. Ente per le Nuove Tecnologie, l'Energie e l'Ambiente (ENEA, Sede di Frascati) Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 258-1419 - Comparison of Lattice Tools with Analytic Formulae for Orbit Functions of a Nonscaling FFAG Accelerator Shane Rupert Koscielniak, Dobrin Kaltchev (TRIUMF, Vancouver), Carol Johnstone (Fermilab, Batavia, Illinois), Albert A. Garren (LBNL/CBP, Berkeley, California) Fixed Field Alternating Gradient (FFAG) magnetic lattices with fixed, possibly high, radio-frequency proposed for muon acceleration have unusual requirements: relative momentum swing dp/p of +/- 30% and relative spread of revolution frequencies < 10^(-3). It is not evident whether the existing accelerator optical design codes are sufficiently accurate for such a large momentum range. Analytic expressions for orbit displacements, tunes and path length have been derived for thick-element models of doublet, F0D0 and FDF triplet lattices; it is this paper's purpose to compare these with values computed by SYNCH and COSY, and truncated Taylor maps constructed by Lie algebra. The mutual agreement of results from independent sources will serve to validate them all. A mathematical necessity is that one at least of the magnets be of the combined-function type, and with entrance and exit faces disposed in a sector layout. It is sufficient to consider the triplet case because in the limit that the two F quadrupoles are combined, the cell reduces to the simpler F0D0. We use as our example a "nonscaling" FFAG ring proposed for accelerations of muons over the momentum range 10-20 GeV/c. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 259-1442 - Simulation and Comparison with Beam Tests of the Digital Bunch-by-bunch Transverse Damper in the Fermilab Main Injector Dennis Nicklaus, G. William Foster, Vladimir Kashikhin (Fermilab, Batavia, Illinois) The resistive wall instability of the Fermilab Main Injector accelerator has been simulated using rigid bunch approximations of a beam signal. This simulation is compared with experimental measurements acquired with a digital data acquisition system. Further simulation models the behaviour of the Main Injector transverse damper system. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 260-1502 - New Discretization Scheme for Wake Field Computation in Cylindrically Symmetric Structures Robert Hampel, Thomas Weiland, Igor Zagorodnov (TEMF, Darmstadt) Collective effects due to wake fields are a limiting factor in almost every new front line accelerator. Since the early 80's computer codes such as TBCI and MAFIA have been developed for computing wake fields in realistic accelerator structures. With the advent of linear collider studies and small wavelength FEL projects these codes had to face a severe limitation. For the very short bunches in these new accelerators combined with the need for an analysis of very long sections the discrete dispersion became a serious drawback. This effect of having only discrete field values rather than continous ones can be overcome by special algorithms such as semi-implicit integrators as used e.g. in the wake field code ECHO. In this paper we present a new explicit approach which combines the advantage of explicit algorithms (fast) with the absence of dispersion in beam direction. Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 261-1505 - Progress in 3D Space-charge Calculations in the GPT Code Gisela P&#246;plau, Ursula Van Rienen (Rostock University, Rostock), Marieke de Loos (PP, Soest), Bas van der Geer (TUE, Eindhoven) The mesh-based 3D space-charge routine in the GPT (General Particle Tracer, Pulsar Physics) code scales linearly with the number of particles in terms of CPU time and allows a million particles to be tracked on a normal PC. The crucial ingredient of the routine is a non-equidistant multi-grid Poisson solver to calculate the electrostatic potential in the rest frame of the bunch. The solver has been optimized for very high and very low aspect ratio bunches present in state-of-the-art high-brightness electron accelerators. In this paper, we explore the efficiency and accuracy of the calculations as function of meshing strategy and boundary conditions. supported by DESY, Hamburg Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 262-1527 - End to end simulations of the RX2 beam transport Nicolas Pichoff, Jean-Michel Lagniel (CEA/DAM, Bruyèresle-Châtel) RX2 is a project aiming to produce a high flux of X-rays for radiography purpose. We proposed an RF linac using a DC photo-injector producing 20 bunches with 100nC each at 352 MHz. The beam is then injected in 4 RF superconducting cavities and accelerated to 40 MeV. It is then focused on a target producing X-rays. Here is presented the design, the specificities, and the beam simulations from the cathode to the target by coupling 2 multiparticle codes : PARMELA and PARTRAN. CEA/DIF/DPTA/SP2A-France Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques 263-1528 - End to End Multiparticle Simulations of the AIRIX Linac Nicolas Pichoff (CEA/DAM, Bruyères-le-Châtel) AIRIX is a working 3 kA, 20 MeV induction accelerator. It has been designed with an enveloppe code : ENV. A new set of multiparticle codes (PBGUNS, MAGIC, PARMELA and PARTRAN) has been used recently to simulate the beam transport with an higher accuracy especially taking into account the field non-linearities. A dedicated space-charge routine has been written. The calculation results have been compared to experimental measurements. CEA-DIF/DPTA/SP2A-France Type of presentation requested: Poster Classification: [D05] Code Developments and Simulation Techniques