Page 1 of 12 T11 for CLOUD (DRAFT) L. Durieu (AB/ABT-EA) Summary : we have evaluated the suitability of the T11 beam line of the CERN PS East Area for use by the CLOUD experiment. We find that T11 can be well matched to the CLOUD experimental requirements using optical changes but very little modifications in terms of hardware. This would require a) increasing the gap of the last bending magnet to 200 mm and b) relocation of the gaz mixing zone now used by ALICE. The presently proposed CLOUD equipment is compatible with the 2.5 m T11 beam height. Finally, providing a fixed location for CLOUD at the end of the T11 beam line will maintain flexibility for other users in front when needed. Switching from CLOUD to other users only requires adjustment of the line magnets currents. We have received a request from the CLOUD experiment aiming to analyse the effect of cosmic radiation on cloud particles nucleation in the upper atmosphere. Time averaged fluxes of MIP of the order of 0.4k/s to 40 k/s would be required with no special constraints on momentum resolution, particle species or time structure. However, the experiment requires to illuminate a big area (2m x 2m) with some reasonably homogeneous flux. This is a quite unusual and challenging requirement. Moreover, the beam intensity should be adjustable with minimal effects on the beam size and distribution. Taking into account the space required, the expected zones availabilities, geometry and beam caracteristics; T11 seems to match CLOUD requirement provided the beam size requirements can be fulfilled. Some geometrical adjustment should be made to the zone, the experiment would sit at its far end which has the triple advantage of : - giving some space and a fixed location to the experiment. - leaving space in front of CLOUD for potential other use when needed. - allowing the beam to expand thanks to its divergence. Ther is however the need to relocate the gas mixing zone now used by ALICE. In general, physicists do require a small beam size, well defined and reproducible. The standard T11 is no exception to this but it is somewhat less used due to its low momentum limit and its relatively big H spot size and momentum resolution. This will not be a limitation in the present request. Taking the required footprint of CLOUD, the distance from the present nominal focus of T11 to the mid plane of the chamber is very close to 10 m and computations will be done using this figure. Running the normal optics for T11 gives, as expected, a much too small beam and a different scheme should be sought. The minimum possible physical changes is desired in order to reduce costs and keep the line useable for other experiments. The basic data for the normal T11 are : ~ 500 k/spill for 1% momentum bite and V collimator wide open ~ 56 mm and 5.6 mrad radii in the H direction. ~ 106 mm and 10.6 mrad radii in the V direction. The obvious idea is to make the focus as close as possible to the last doublet in order to increase the divergence in both planes. For an efficient H expansion, the last quad should be convergent, filled, with the outer ray just grazing the opposite pole face of BVT01. This implies a complete reversal of the normal optics except for the field lens to ensure a well behaved beam. A first run using this idea gives promising results with too big V dimension (exceeding the useful pole width of BVT01) and a too small H dimension (~ 600 mm 2/16/2016 File DocNewEH\T11_cloud\Cloud3_design.doc Page 2 of 12 T11 for CLOUD (DRAFT) L. Durieu (AB/ABT-EA) radius) limited by the BVT01 gap of 140 mm. The next step is to change the gap of BVT01 to 200 mm which is quite easy to do and will not limit the useable momentum as we have enough magnetic force at hand. This being done we made an optimisation using mainly TRANSPORT code in order to find a solution which will : - have the structure FDFDF with intermediate H focus in the mid plane of the momentum collimator for intensity control. - fill horizontally QDE05 (H focusing) and make 100 mm at the output face of BVT01. - make the same V size (limited by V aperture in QFO04) at CLOUD location, checking that the beam is kept in the polar space of BVT01 (520 mm in all). After some trials and errors, a satisfactory solution is found as given in the table below : Table 1. Quadrupoles field for FDFDF optics Qde01 Qfo02 Qfo03 Qfo04 Qde05 2/16/2016 +0.36621 T -0.36401 T +0.477915 -0.83 +1.0232 @100 @100 @50 @100 @100 mm mm mm mm mm File DocNewEH\T11_cloud\Cloud3_design.doc Page 3 of 12 T11 for CLOUD (DRAFT) L. Durieu (AB/ABT-EA) As seen on the above optics, the first V focus is in the middle of the field lens which is convenient but it can be moved such as to expand the V beam and thus decrease its density (geometric limit in Q4). The second V focus is quite close to the mid plane of Q5, making the V size quite sensitive to the setting of Q4 but not to Q5. From the TRANSPORT output, we can compute that the angular limits are inside Q4 and Q5, of 6.18 and 7.48 mrad (H & V) giving a geometric acceptance close to 42 % of the original optics. The intensity is then supposed to scale accordingly. By transcripting the quadrupole field values in a TURTLE deck, the behaviour of the optics can be more fully described, conducting to the next table in which the last column has been added for normalisation as it represents the behaviour of unmodified T11, including the transmitted intensity. Table 2. Effects of momentum collimator, sizes and intensity. p-Slit N pour 105 X (cm) Y (cm) X’ (mrad) Y’ (mrad) p/p (%) +-50 mm 17571 40.2 40.7 24.8 22.4 2.68 +-30 mm 16087 40.2 41.0 24.8 22.6 2.55 +-15mm 9289 40.0 41.8 24.7 23.0 2.2 +-8 mm 4883 39.4 42.0 24.3 23.1 1.65 +-4 mm 2060 37.7 43.8 23.3 24.1 1.60 +-2 mm 627 34.0 43.6 21.0 24.0 1.72 1% norm 1516 5.62 10.6 5.62 10.6 1.01 The only variable is the width of the momentum slit and, as expected, the intensity is tuneable without noticeable effect on the beam size or distribution as long as we do not cut into the H divergence. From this point on, the intensity start to vary quadratically and the beam size decreases (computed to start close to 3 mm half width). The V collimator is wide opened. Example of the beam distribution is shown below (for 15 mm opening). The beam dimension has been checked to be contained in BVT01 adequate field region (total width ~ 335 mm, pole width 520 mm). 2/16/2016 File DocNewEH\T11_cloud\Cloud3_design.doc Page 4 of 12 T11 for CLOUD (DRAFT) L. Durieu (AB/ABT-EA) Table 3. Effect of the vertical collimator (in the shadow of Q4 above 23 mm) V-slit X (cm) Y (cm) X’ (mrad) Y’ (mrad) p/p (%) N Fully opened 40.2 40.7 24.8 22.4 2.7 17571 +- 20 mm 40.1 39.8 24.8 21.8 2.7 15295 +- 10 mm 39.9 27.6 24.6 15.1 2.8 8543 +- 5 mm 40.0 16.4 24.7 9.0 2.7 4268 The table has been computed with the momentum slit fully opened to reduce computing time; their effect are not completely orthogonal. As can be seen, the reduction in intensity comes from the reduction in the V divergence with the consequence of a smaller V spot at the experiment. This could probably be corrected by altering the optics (several possible ways). Preliminary expectations and conclusions. Expected flux : With standard T11 at 1% momentum bite, we expect something like 500 k/spill. As the momentum acceptance is close to 9.0% in both cases, the new optics geometric acceptance being ~42% of the original, we can expect a maximum flux of ~ 130 kHz for one single spill every 14.4s supercycle (170 kHz from the TURTLE renormalisation). It is easy to increase this figure by using several spill/supercycle. The flux can be reduced simply by a factor ~25 (see table 2) using the momentum collimator with almost no impact on the geometrical behaviour of the beam. An additional factor of ~4 can be found with the V acceptance collimator ; however this will imply some alteration of the optics if we have to minimise the geometrical consequences. If more reduction of the flux is still needed (the maximum value is way above the maximum requested by CLOUD which can give trouble to match the low end) several other techniques can be used : Alteration of the target efficiency and/or the primary beam intensity. As this also changes the beam conditions for T9 and T10 it needs care (limited range, only ~0.5..2). Insertion of material at some strategic location of the line. Expected beam size : The simulations above let expect a beam size (when not intercepting with the V collimator) of about 1.45 m in both transverse directions in the mid plane of the experimental set-up, this is suitable for CLOUD. The H distribution is almost 2/16/2016 File DocNewEH\T11_cloud\Cloud3_design.doc Page 5 of 12 T11 for CLOUD (DRAFT) L. Durieu (AB/ABT-EA) homogeneous, the V slightly less but still quite good. Both have sharp edges and are fully contained in the optics with no interception outside the primary zone for a clean beam. Feasability : There was not need of any modification in the physical components and geometry apart from the increase in the BVT01 gap. All tuning is done using existing components. The optics has been computed for 3.5 GeV/c momentum which is the nominal maximum of the T11 line. Some magnets (Q4 and Q5) are quite close to their maximim rating and it would be wise to reduce somewhat this momentum in operation. It should be noted that the ‘natural’ divergences are such that the multiple scattering in 15 m of air will cause no harm even at low momentum. Geometric constraints : As already stated, the experimental set up interferes with the present gas mixing zone of ALICE. A formal approval should be obtained from them and some way to handle the move (manpower, money and time) shall be found. The beam axis is located at 2.5 m above the hall floor and this is fully compatible with the proposed CLOUD experimental equipment. Radiations : The expanded beam as used by CLOUD extends above the present shielding dump at the end of T11. Some extended shielding is probably needed and should be discussed with RP people. Remember that the beam is strongly divergent however, meaning that the dose rate decreases quite rapidly with distance anyway. Instrumentation : Some has to be installed in order to assess the effective beam intensity, losses and profile. A wide area plane scintillator upstream of BVT01 should be adequate to measure intensity, another (perhaps split in several strips) downstream of BVT01 and used in coincidence should give some hint about interception and V divergence (radiation safety). The CLOUD experiment will include large area counter hodoscopes near to the detector to measure the beam profile and flux. These can be used for beam tuning and for radiation protection monitors. Not done yet : How to alter the optics in order to recover the V size if we have to use the V collimator – or – how to use Q1 and Q2 to replace it (by changing the divergences upstream of the last doublet). Attached documents : TRANSPORT list of optical parameters along with the derived plots for - Standard T11 optics. - Improved T11 optics with better p/p but lower geometric acceptance. - New FDFDF proposed optics as described in this note. 2/16/2016 File DocNewEH\T11_cloud\Cloud3_design.doc Page 6 of 12 T11 for CLOUD (DRAFT) L. Durieu (AB/ABT-EA) Version as documented and used for tests in T11. Optics is made such that various tunings are as independent as possible. First the field lens Q3 is tuned such that the H dispersion vanishes in the experimental area; then the first H and V focii are located at the centre of this field lens using Q1 & Q2, last the user focus is set using Q4 and Q5. Lenses polarities are choosen in order to : enhance the momentum resolution and the total transmission. The best choice is DFFFD. It was expected that Q1 and Q2 would define the geometrical acceptance; in the nominal focus tuning, Q4 cuts an extra 10% of what has been transmitted by Q2 in the H plane, with very little harm as it is still inside the primary area (shielded). File is T11_cloud00 (-3.8369,+3.7868,+4.77915,+5.3847,-5.0730) H limit in Q4, V limit in Q1 (5.951*18.351 =343.1steradian) Size 10 m downstream (semi axis in mm) : 56.1 H, 103.5 V ZT11 pour CLOUD (_00) TRANSPORT RUN 6/01/05 POSITION TYPE STRENGTH * H O R I Z O N T A L * V E R T I C A L * D I S P E R S I O N METERS T*M,T/M*M * R11 R12 R21 R22 * R33 R34 R43 R44 * R16 R26 R36 R46 T/M**2*M * MM/MM MM/MR MR/MM MR/MR * MM/MM MM/MR MR/MM MR/MR * MM/PC MR/PC MM/PC MR/PC ************************************************************************************************************************************ 0.000 3 PG3H * 1.000 0.000 0.000 1.000 * 1.000 0.000 0.000 1.000 * 0.000 0.000 0.000 0.000 0.000 3 TV7 * 1.000 0.000 0.000 1.000 * 1.000 0.000 0.000 1.000 * 0.000 0.000 0.000 0.000 4.050 3 BS * 1.000 4.050 0.000 1.000 * 1.000 4.050 0.000 1.000 * 0.000 0.000 0.000 0.000 4.700 3 * 1.000 4.700 0.000 1.000 * 1.000 4.700 0.000 1.000 * 0.000 0.000 0.000 0.000 6.300 5 QDE1 -6.1390 * 1.451 8.654 0.603 4.284 * 0.608 4.243 -0.455 -1.531 * 0.000 0.000 0.000 0.000 7.000 3 * 1.873 11.652 0.603 4.284 * 0.289 3.171 -0.455 -1.531 * 0.000 0.000 0.000 0.000 8.600 5 QFO2 6.0589 * 1.984 13.084 -0.474 -2.619 * -0.415 1.777 -0.486 -0.329 * 0.000 0.000 0.000 0.000 9.310 3 * 1.648 11.225 -0.474 -2.619 * -0.760 1.544 -0.486 -0.329 * 0.000 0.000 0.000 0.000 11.490 4 BHZ1 3.1522 * 0.628 5.583 -0.474 -2.619 * -1.791 0.769 -0.443 -0.368 * -2.925 -2.717 0.000 0.000 12.210 3 CV46 * 0.287 3.697 -0.474 -2.619 * -2.110 0.504 -0.443 -0.368 * -4.881 -2.717 0.000 0.000 13.180 3 * -0.173 1.157 -0.474 -2.619 * -2.539 0.147 -0.443 -0.368 * -7.516 -2.717 0.000 0.000 13.600 5 QFO3 4.0145 * -0.354 0.000 -0.382 -2.821 * -2.915 0.000 -1.369 -0.343 * -8.094 0.000 0.000 0.000 13.600 3 Lv01 * -0.354 0.000 -0.382 -2.821 * -2.915 0.000 -1.369 -0.343 * -8.094 0.000 0.000 0.000 14.020 5 QFO3 4.0145 * -0.486 -1.156 -0.236 -2.620 * -3.717 -0.148 -2.496 -0.368 * -7.516 2.717 0.000 0.000 14.945 3 CH75 * -0.704 -3.579 -0.236 -2.620 * -6.027 -0.489 -2.496 -0.368 * -5.003 2.717 0.000 0.000 14.945 3 Lh01 * -0.704 -3.579 -0.236 -2.620 * -6.027 -0.489 -2.496 -0.368 * -5.003 2.717 0.000 0.000 15.710 3 * -0.884 -5.583 -0.236 -2.620 * -7.936 -0.771 -2.496 -0.368 * -2.925 2.717 0.000 0.000 17.890 4 BHZ2 3.1522 * -1.391 -11.225 -0.236 -2.620 * -13.087 -1.545 -2.143 -0.329 * 0.000 0.000 0.000 0.000 19.320 3 * -1.728 -14.971 -0.236 -2.620 * -16.151 -2.016 -2.143 -0.329 * 0.000 0.000 0.000 0.000 20.480 5 QFO4 6.2463 * -1.465 -13.294 0.666 5.359 * -24.178 -3.098 -12.406 -1.631 * 0.000 0.000 0.000 0.000 20.920 3 * -1.172 -10.937 0.666 5.359 * -29.637 -3.816 -12.406 -1.631 * 0.000 0.000 0.000 0.000 22.080 5 QDE5 -5.8847 * -0.682 -7.453 0.220 0.937 * -34.415 -4.466 4.572 0.564 * 0.000 0.000 0.000 0.000 23.930 3 * -0.275 -5.719 0.220 0.937 * -25.956 -3.422 4.572 0.564 * 0.000 0.000 0.000 0.000 24.910 3 * -0.060 -4.800 0.220 0.937 * -21.475 -2.869 4.572 0.564 * 0.000 0.000 0.000 0.000 26.090 4 BVT1 0.4551 * 0.200 -3.690 0.220 0.944 * -16.084 -2.204 4.568 0.564 * 0.000 0.000 0.230 0.390 27.300 3 XH26 * 0.466 -2.548 0.220 0.944 * -10.557 -1.522 4.568 0.564 * 0.000 0.000 0.702 0.390 28.000 3 * 0.620 -1.887 0.220 0.944 * -7.359 -1.127 4.568 0.564 * 0.000 0.000 0.975 0.390 30.000 3 Foc * 1.060 0.000 0.220 0.944 * 1.777 0.000 4.568 0.564 * 0.000 0.000 1.754 0.390 30.000 3 Lv02 * 1.060 0.000 0.220 0.944 * 1.777 0.000 4.568 0.564 * 0.000 0.000 1.754 0.390 30.000 3 Lh02 * 1.060 0.000 0.220 0.944 * 1.777 0.000 4.568 0.564 * 0.000 0.000 1.754 0.390 40.000 3 * 3.258 9.438 0.220 0.944 * 47.458 5.638 4.568 0.564 * 0.000 0.000 5.653 0.390 40.000 3 ENDP * 3.258 9.438 0.220 0.944 * 47.458 5.638 4.568 0.564 * 0.000 0.000 5.653 0.390 2/16/2016 File DocNewEH\T11_cloud\Cloud3_design.doc Page 7 of 12 2/16/2016 T11 for CLOUD (DRAFT) L. Durieu (AB/ABT-EA) File DocNewEH\T11_cloud\Cloud3_design.doc Page 8 of 12 T11 for CLOUD (DRAFT) L. Durieu (AB/ABT-EA) Slightly modified version of the T11 optics, made in order to enhance the limit p/p. The first V focus is kept in the field lens centre, the first H focus being displaced at the centre of the momentum collimator. This does not change the dispersion at this point but reduces the betatronic spot size for a theoritical improvement of ~5 in the limiting resolution. The price to pay is a reduced transmitted intensity due to the geometrical blow-up in the second doublet (losses still harmless!). File T11_cloud01 (-3.5621,+2.7520,+4.77915,+5.9966,-5.2595) H limit in Q4, V limit in Q5 (3.062*16.437 =158.1steradian) Size 10 m downstream (semi axis in mm) : 56 H, 114 V (quite similar in size as case 00, intensity reduced by 2.2) ZT11 pour CLOUD POSITION TYPE METERS TRANSPORT RUN 6/01/05 STRENGTH * H O R I Z O N T A L * V E R T I C A L * D I S P E R S I O N T*M,T/M*M * R11 R12 R21 R22 * R33 R34 R43 R44 * R16 R26 R36 R46 T/M**2*M * MM/MM MM/MR MR/MM MR/MR * MM/MM MM/MR MR/MM MR/MR * MM/PC MR/PC MM/PC MR/PC ************************************************************************************************************************************ 0.000 3 PG3H * 1.000 0.000 0.000 1.000 * 1.000 0.000 0.000 1.000 * 0.000 0.000 0.000 0.000 0.000 3 TV7 * 1.000 0.000 0.000 1.000 * 1.000 0.000 0.000 1.000 * 0.000 0.000 0.000 0.000 4.050 3 BS * 1.000 4.050 0.000 1.000 * 1.000 4.050 0.000 1.000 * 0.000 0.000 0.000 0.000 4.700 3 * 1.000 4.700 0.000 1.000 * 1.000 4.700 0.000 1.000 * 0.000 0.000 0.000 0.000 6.300 5 QDE1 -5.6994 * 1.417 8.475 0.554 4.022 * 0.634 4.381 -0.427 -1.373 * 0.000 0.000 0.000 0.000 7.000 3 * 1.805 11.290 0.554 4.022 * 0.335 3.419 -0.427 -1.373 * 0.000 0.000 0.000 0.000 8.600 5 QFO2 4.4032 * 2.087 13.858 -0.219 -0.975 * -0.312 2.080 -0.423 -0.385 * 0.000 0.000 0.000 0.000 9.310 3 * 1.932 13.166 -0.219 -0.975 * -0.613 1.806 -0.423 -0.385 * 0.000 0.000 0.000 0.000 11.490 4 BHZ1 3.1522 * 1.460 11.067 -0.219 -0.975 * -1.512 0.900 -0.387 -0.431 * -2.925 -2.717 0.000 0.000 12.210 3 CV46 * 1.303 10.366 -0.219 -0.975 * -1.791 0.590 -0.387 -0.431 * -4.881 -2.717 0.000 0.000 13.180 3 * 1.090 9.421 -0.219 -0.975 * -2.167 0.173 -0.387 -0.431 * -7.516 -2.717 0.000 0.000 13.600 5 QFO3 4.0145 * 0.923 8.349 -0.569 -4.067 * -2.492 0.000 -1.179 -0.401 * -8.094 0.000 0.000 0.000 13.600 3 Lv01 * 0.923 8.349 -0.569 -4.067 * -2.492 0.000 -1.179 -0.401 * -8.094 0.000 0.000 0.000 14.020 5 QFO3 4.0145 * 0.624 6.086 -0.838 -6.579 * -3.181 -0.173 -2.142 -0.431 * -7.516 2.717 0.000 0.000 14.945 3 CH75 * -0.152 0.000 -0.838 -6.579 * -5.163 -0.571 -2.142 -0.431 * -5.003 2.717 0.000 0.000 14.945 3 Lh01 * -0.152 0.000 -0.838 -6.579 * -5.163 -0.571 -2.142 -0.431 * -5.003 2.717 0.000 0.000 15.710 3 * -0.793 -5.033 -0.838 -6.579 * -6.802 -0.901 -2.142 -0.431 * -2.925 2.717 0.000 0.000 17.890 4 BHZ2 3.1522 * -2.599 -19.201 -0.838 -6.579 * -11.222 -1.807 -1.839 -0.385 * 0.000 0.000 0.000 0.000 19.320 3 * -3.798 -28.609 -0.838 -6.579 * -13.853 -2.357 -1.839 -0.385 * 0.000 0.000 0.000 0.000 20.480 5 QFO4 6.9561 * -3.423 -26.061 1.446 10.716 * -21.310 -3.720 -11.750 -2.098 * 0.000 0.000 0.000 0.000 20.920 3 * -2.787 -21.347 1.446 10.716 * -26.480 -4.643 -11.750 -2.098 * 0.000 0.000 0.000 0.000 22.080 5 QDE5 -6.1010 * -1.824 -14.425 0.299 1.814 * -31.145 -5.501 4.117 0.695 * 0.000 0.000 0.000 0.000 23.930 3 * -1.271 -11.070 0.299 1.814 * -23.529 -4.215 4.117 0.695 * 0.000 0.000 0.000 0.000 24.910 3 * -0.978 -9.292 0.299 1.814 * -19.495 -3.534 4.117 0.695 * 0.000 0.000 0.000 0.000 26.090 4 BVT1 0.4551 * -0.625 -7.143 0.300 1.827 * -14.641 -2.715 4.113 0.694 * 0.000 0.000 0.230 0.390 27.300 3 XH26 * -0.262 -4.933 0.300 1.827 * -9.665 -1.875 4.113 0.694 * 0.000 0.000 0.702 0.390 28.000 3 * -0.052 -3.654 0.300 1.827 * -6.786 -1.389 4.113 0.694 * 0.000 0.000 0.975 0.390 30.000 3 Foc * 0.547 0.000 0.300 1.827 * 1.439 0.000 4.113 0.694 * 0.000 0.000 1.754 0.390 30.000 3 Lv02 * 0.547 0.000 0.300 1.827 * 1.439 0.000 4.113 0.694 * 0.000 0.000 1.754 0.390 30.000 3 Lh02 * 0.547 0.000 0.300 1.827 * 1.439 0.000 4.113 0.694 * 0.000 0.000 1.754 0.390 40.000 3 * 3.546 18.264 0.300 1.827 * 42.565 6.942 4.113 0.694 * 0.000 0.000 5.653 0.390 2/16/2016 File DocNewEH\T11_cloud\Cloud3_design.doc Page 9 of 12 40.000 2/16/2016 3 T11 for CLOUD (DRAFT) ENDP * 3.546 18.264 0.300 L. Durieu (AB/ABT-EA) 1.827 * 42.565 6.942 4.113 File DocNewEH\T11_cloud\Cloud3_design.doc 0.694 * 0.000 0.000 5.653 0.390 Page 10 of 12 2/16/2016 T11 for CLOUD (DRAFT) L. Durieu (AB/ABT-EA) File DocNewEH\T11_cloud\Cloud3_design.doc Page 11 of 12 T11 for CLOUD (DRAFT) L. Durieu (AB/ABT-EA) ZT11 pour CLOUD (_03) TRANSPORT RUN 7/01/05 POSITION TYPE STRENGTH * H O R I Z O N T A L * V E R T I C A L * D I S P E R S I O N METERS T*M,T/M*M * R11 R12 R21 R22 * R33 R34 R43 R44 * R16 R26 R36 R46 T/M**2*M * MM/MM MM/MR MR/MM MR/MR * MM/MM MM/MR MR/MM MR/MR * MM/PC MR/PC MM/PC MR/PC ************************************************************************************************************************************ 0.000 3 PG3H * 1.000 0.000 0.000 1.000 * 1.000 0.000 0.000 1.000 * 0.000 0.000 0.000 0.000 0.000 3 TV7 * 1.000 0.000 0.000 1.000 * 1.000 0.000 0.000 1.000 * 0.000 0.000 0.000 0.000 4.050 3 BS * 1.000 4.050 0.000 1.000 * 1.000 4.050 0.000 1.000 * 0.000 0.000 0.000 0.000 4.700 3 * 1.000 4.700 0.000 1.000 * 1.000 4.700 0.000 1.000 * 0.000 0.000 0.000 0.000 6.300 5 QDE1 5.8594 * 0.625 4.330 -0.437 -1.431 * 1.429 8.540 0.572 4.117 * 0.000 0.000 0.000 0.000 7.000 3 * 0.319 3.329 -0.437 -1.431 * 1.829 11.421 0.572 4.117 * 0.000 0.000 0.000 0.000 8.600 5 QFO2 -5.8242 * -0.342 2.141 -0.443 -0.151 * 1.945 12.903 -0.438 -2.389 * 0.000 0.000 0.000 0.000 9.310 3 * -0.657 2.034 -0.443 -0.151 * 1.634 11.207 -0.438 -2.389 * 0.000 0.000 0.000 0.000 11.490 4 BHZ1 3.1522 * -1.611 1.710 -0.443 -0.151 * 0.620 5.587 -0.475 -2.672 * -2.925 -2.717 0.000 0.000 12.210 3 CV46 * -1.930 1.601 -0.443 -0.151 * 0.278 3.663 -0.475 -2.672 * -4.881 -2.717 0.000 0.000 13.180 3 * -2.359 1.455 -0.443 -0.151 * -0.184 1.071 -0.475 -2.672 * -7.516 -2.717 0.000 0.000 13.600 5 QFO3 4.0145 * -2.373 1.290 0.381 -0.628 * -0.402 0.000 -0.575 -2.490 * -8.094 0.000 0.000 0.000 13.600 3 Lv01 * -2.373 1.290 0.381 -0.628 * -0.402 0.000 -0.575 -2.490 * -8.094 0.000 0.000 0.000 14.020 5 QFO3 4.0145 * -2.047 0.940 1.150 -1.016 * -0.678 -1.071 -0.758 -2.672 * -7.516 2.717 0.000 0.000 14.945 3 CH75 * -0.984 0.000 1.150 -1.016 * -1.380 -3.542 -0.758 -2.672 * -5.003 2.717 0.000 0.000 14.945 3 Lh01 * -0.984 0.000 1.150 -1.016 * -1.380 -3.542 -0.758 -2.672 * -5.003 2.717 0.000 0.000 15.710 3 * -0.104 -0.778 1.150 -1.016 * -1.960 -5.586 -0.758 -2.672 * -2.925 2.717 0.000 0.000 17.890 4 BHZ2 3.1522 * 2.372 -2.966 1.150 -1.016 * -3.541 -11.205 -0.666 -2.389 * 0.000 0.000 0.000 0.000 19.320 3 * 4.016 -4.420 1.150 -1.016 * -4.493 -14.622 -0.666 -2.389 * 0.000 0.000 0.000 0.000 20.480 5 QFO4 -9.6280 * 7.652 -8.084 5.611 -5.797 * -3.165 -10.518 2.770 8.891 * 0.000 0.000 0.000 0.000 20.920 3 * 10.121 -10.634 5.611 -5.797 * -1.946 -6.606 2.770 8.891 * 0.000 0.000 0.000 0.000 22.080 5 QDE5 11.8691 * 10.020 -10.435 -5.768 6.107 * 0.673 1.564 2.180 6.553 * 0.000 0.000 0.000 0.000 23.930 3 * -0.651 0.862 -5.768 6.107 * 4.706 13.688 2.180 6.553 * 0.000 0.000 0.000 0.000 24.910 3 * -6.303 6.847 -5.768 6.107 * 6.843 20.110 2.180 6.553 * 0.000 0.000 0.000 0.000 26.090 4 BVT1 0.4551 * -13.104 14.047 -5.753 6.091 * 9.416 27.843 2.182 6.559 * -0.001 0.000 0.230 0.390 27.300 3 XH26 * -20.065 21.416 -5.753 6.091 * 12.056 35.780 2.182 6.559 * -0.001 0.000 0.702 0.390 28.000 3 * -24.092 25.680 -5.753 6.091 * 13.584 40.371 2.182 6.559 * -0.001 0.000 0.975 0.390 30.000 3 Foc * -35.598 37.861 -5.753 6.091 * 17.948 53.489 2.182 6.559 * -0.001 0.000 1.754 0.390 30.000 3 Lv02 * -35.598 37.861 -5.753 6.091 * 17.948 53.489 2.182 6.559 * -0.001 0.000 1.754 0.390 30.000 3 Lh02 * -35.598 37.861 -5.753 6.091 * 17.948 53.489 2.182 6.559 * -0.001 0.000 1.754 0.390 40.000 3 * -93.128 98.769 -5.753 6.091 * 39.769 119.078 2.182 6.559 * -0.004 0.000 5.653 0.390 40.000 3 ENDP * -93.128 98.769 -5.753 6.091 * 39.769 119.078 2.182 6.559 * -0.004 0.000 5.653 0.390 Polar field in Quads for this optic : +3.6621,-3.6401,+4.77915,-8.3,+10.232 kGauss In Q5, 92 mm H means 7.476 mrad, hence 100.92 mm at end of BVT01 and 738.4 mm, 45.5 mrad at CLOUD location In Q4, 92 mm V means 6.177 mrad, hence 168.34 mm at BVT01 end, 735.5 mm, 40.5 mrad at CLOUD location 2/16/2016 File DocNewEH\T11_cloud\Cloud3_design.doc Page 12 of 12 T11 for CLOUD (DRAFT) E:\DocNewEH\T11_cloud\Cloud3_design.docpage 12 L. Durieu (AB/ABT-EA) 2/16/2016