A new resistor network for an electrostatic octupole deflector combined with a stigmator T. Ohnishi, S. Hosaka, H. Tamura, T. Ishitani, and T. Noda Citation: Review of Scientific Instruments 62, 240 (1991); doi: 10.1063/1.1142321 View online: http://dx.doi.org/10.1063/1.1142321 View Table of Contents: http://scitation.aip.org/content/aip/journal/rsi/62/1?ver=pdfcov Published by the AIP Publishing Articles you may be interested in Breakdown mechanisms in electrostatic deflector AIP Conf. Proc. 600, 151 (2001); 10.1063/1.1435223 Resistor networks and irrational numbers Am. J. Phys. 65, 88 (1997); 10.1119/1.18499 Synthesis of electrostatic multielectrode deflectors J. Vac. Sci. Technol. B 13, 1988 (1995); 10.1116/1.588120 Optimization of electrostatic deflectors J. Vac. Sci. Technol. B 13, 142 (1995); 10.1116/1.587972 The field solutions for multipole electrostatic deflectors J. Vac. Sci. Technol. B 5, 156 (1987); 10.1116/1.583852 This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitationnew.aip.org/termsconditions. Downloaded to IP: 128.138.73.68 On: Fri, 19 Dec 2014 23:59:36 A new resistor network for an electrostatic a stigmator octupole deflector combined with T. Ohnishi, S. Hosaka, H. Tamura,a) and T. lshitani Central Research Laboratory, Hitachi, Ltd., Kokubunji, Tokyo 185, Japan T. Noda Toyohashi University of Technology, Tempaku, Toyohashi 440, Japan (Received 6 August 1990; accepted for publication 22 August 1990) A new resistor network for an octupole deflector combined with a stigmator is proposed. Improvement on the time constant due to the octupole’s stray capacity, which is made by connecting phase-compensative capacitors parallel to the resistors, is also described. Electrostatic octupole deflectors’,* are used in a variety of electron- or ion-beam systems such as the scanning electron microscope (SEMI and the focused ion-beam (FIB) apparatus. In some systems, 3*4deflection potentials superimposed on stigmation potentials have been applied to the octupole so that simultaneous deflection and astigmation can be obtained. A resistor bridge’ is a simple method to provide the necessary potentials for all octupole segments, but its application has been restricted only to the deflectors. In the present paper a new resistor network is proposed for a dual-purpose deflector and stigmator. A cross sectional configuration of the octupole segments and the proposed network are shown in Figs. 1 (a) and 1 (b), respectively. Here, R ,, RP, R, and r are precision resistors, + V, and + V,, are the master deflection potentials, and & S, and + S, are the master stigmation potentials. The potential F. applied on the ith electrode (i= 1-8) is supplied from the ith node in the network. The V, values are given by v, = K, v, + K,S,, v* = K, ( v, + v, ) - K4S*, The octupole, which is symmetrical about the x = 0, y = 0, and x = y directions, satisfies the equation K/&I, = 1/2’f2. (3) Here, the K, value represents the deflector sensitivity with regard to V, and V,. Similarly, the K3 and K4 values represent the stigmator sensitivities with respect to S, and S,, respectively. For example, in the case of r = R (i.e., K, = I/ 3 = 0.333), K, = 2”‘/3 ( = 0.471), and in the case of yey 5 1 (-I--) 8 X-T (4 7 V;=K,V,--K,S,, - v, + v,, V,=K,( v,= -K,I/, vb=K*( v,= +K,s,, f&S,, - v, - v,, -K,Vy Vx=K,(V, -K4&, -KJ,, - F(y) +K4s_‘, (1) where K, = R,/(R, +&I KS = R,/(R, +&I , ( = 1 - K,), K,=r/(2r+R), K4= R/(2r+ (=l-2K*). R) (2) “Presently at Hitachi Instrument Engineering Co., Ltd., 882 Ichige, Katsuta-Shi, Ibaraki, Japan. (b) -W FIG. 1.Octupoledeflectorandresistornetwork:(a) a cross-sectional configuration of the octupole and (b) the resistor network for an octupole deflector combined with the stigmator. 240 Rev. Sci. Instrum. 62 (1), January 1991 00346?48/91/010240-02$02.00 0 1990 American Institute of Physics 240 This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitationnew.aip.org/termsconditions. Downloaded to IP: 128.138.73.68 On: Fri, 19 Dec 2014 23:59:36 VI: vx R R! VY , w RI G I .cl Ia) G 0 R R VX G _ - _-__--__ k R2 G r T I (b) Cd I ICI FIG. 2. Equivalent load circuits of the V, driver and their phase-compensation circuits: (a) equivalent load circuit of the V, driver, (b) the phasecompensation circuit of (a), and (c) phase-compensation circuit of the V2 driver. r = 6R (i.e., K, = 6/13 = 0.462), K, = 6x2”*/13 ( = 0.653). Next, consider the application of the network to highfrequency voltage scan. The maximum frequency is determined as a function of the output resistance R, and capaci- FIG. 3. Resistor network for high-frequency voltage-scan octupole. tance C,. Here, C, represents the small stray capacitance between the octupole segment and the grounded conductor. Figure 2(a) shows an equivalent load circuit for the I’, driver. The V, driver has the time constant T,, where T, = R, Cd and R e- ’ = R ; ’ + R ; ‘. The quick responsein V, (i.e., T, = 0) is achieved by connecting in parallel a phase-compensative capacitor C, to the resistor R ,. The C, value is determined from an equilibrium condition of V, = V, on a bridge circuit as shown in Fig. 2 (b). Then, the condition rewritten as R ,/C, = R2/CB leads to C, = (RJR, ) C,. Similarly, for Vz, T, = R,C, and R em’ = r- ’ + 2R - ‘. The phase-compensative capacitor C, connected to each resistor R as shown in Fig. 2(c), is determined from the rewritten condiwhere R R, ’ tion of R/CC, + Cd) = R,,/C,, = R - ’ + r- ‘, and it results in C, = (r/R ) C,. Finally, the improved network is achieved as shown in Fig. 3. It is desirable for all resistors in the network to be in a common environement so that the temperature coefficients of their resistivities will not affect their ratios in Eq. (2)) and the thermal drift on Vi can be reduced. A thin-film resistor network is one example of a suitable network. Although the proposed network has deflection sensitivity loss, the superposition of the deflection voltages and the stigma voltages does not require any more operational amplifiers (at least eight OP amps) having inherently an offset voltage, drift, and noise. Since there are not any active elements such as an OP amp, the network is also easily operable for a highervoltage drive. The present network is applicable for both superposition of an octupole stigmator on an aligner as well as an octupole deflector on an aligner. Furthermore, its application can be expanded for multipole deflectors such as for 12, 16, and 20 pole deflectors. ‘J. Kelly, Adv. Electron. Electron Phys. 43, 43 ( 1977). ‘E. F. Ritz, Jr., Adv. Electron. Electron Phys. 49, 299 (1979). ‘M. M. ElGomati, M. Prutton, and R. Browing, J. Phys. E 18,32 ( 1985). ‘T. Ohnishi, T. Okutani, K. Hata, H. Ohiwa, and T. Noda, J. Vat. Sci. Technol. B 4, 143 (1986). Notes 241 241 is copyrighted Rev. Sci. Instrum., Vol. in 62,the No.article. 1, January This article as indicated Reuse1991 of AIP content is subject to the terms at: http://scitationnew.aip.org/termsconditions. Downloaded to IP: 128.138.73.68 On: Fri, 19 Dec 2014 23:59:36