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Abstract
In this paper, the relativistic fifth order geometrical aberration equation of a combined electric-magnetic focusing-deflection system with superimposed fields is derived by using varia-tional principle and taking symbolic derivative and inner product of complex numbers as mathematical tools.
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LI YU

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[1]	Su Dong, Tang Chang-Jian.Self-focus and transmission of relativistic electron beam in a dynamically loaded plasma. Acta Physica Sinica, 2012, 61(4): 042501.doi:10.7498/aps.61.042501
[2]	Tian You-Wei, Yu Wei, Lu Pei-Xiang, He Feng, Ma Fa-Jun, Xu Han, Jing Guo-Liang, Qian Lie-Jia.Electron capture and violent acceleration by a tightly focused ultra-short ultra-intense laser pulse in vacuum. Acta Physica Sinica, 2005, 54(9): 4208-4212.doi:10.7498/aps.54.4208
[3]	Fu Jing-Li, Chen Li-Qun, Xue Yun.Stability for the equilibrium state of rotational relativistic Birkhoffian systems. Acta Physica Sinica, 2003, 52(2): 256-261.doi:10.7498/aps.52.256
[4]	Fu Jing-Li, Chen Li-Qun, Xue Yun, Luo Shao-Kai.Stability of the equilibrium state in relativistic Birkhoff systems*. Acta Physica Sinica, 2002, 51(12): 2683-2689.doi:10.7498/aps.51.2683
[5]	Luo Shao-Kai.. Acta Physica Sinica, 2002, 51(4): 712-717.doi:10.7498/aps.51.712
[6]	FU JING-LI, CHEN LI-QUN, LUO SHAO-KAI, CHEN XIANG-WEI, WANG XIN-MIN.STUDY ON DYNAMICS OF RELATIVISTIC BIRKHOFF SYSTEMS. Acta Physica Sinica, 2001, 50(12): 2289-2295.doi:10.7498/aps.50.2289
[7]	FANG JIAN-HUI.CONSERVATION LAWS OF RELATIVISTIC VARIABLE MASS SYSTEMS. Acta Physica Sinica, 2001, 50(6): 1001-1005.doi:10.7498/aps.50.1001
[8]	QIAO YONG-FEN, LI REN-JIE, MENG JUN.LINDEL?F'S EQUATIONS OF NONHOLONOMIC ROTATIONAL RELATIVISTIC SYSTEMS. Acta Physica Sinica, 2001, 50(9): 1637-1642.doi:10.7498/aps.50.1637
[9]	FANG JIAN-HUI.RELATIVISTIC DYNAMIC EQUATION AND VARIATIONAL PRINCIPLE FOR ROTATIONAL VARIABLE MASS SYSTEM. Acta Physica Sinica, 2000, 49(6): 1028-1030.doi:10.7498/aps.49.1028
[10]	FANG JIAN-HUI.RELATIVISTIC FOUR-COVARIANT EQUATION OF VARIABLE-MASS BODY. Acta Physica Sinica, 1999, 48(8): 1389-1393.doi:10.7498/aps.48.1389
[11]	WANG REN-CHUAN, ZHU DONG-PEI, WONG CHEUK-YIN, KO CHE-MING.LIOUVILLE EQUATION OF RELATIVISTIC CHARGED FERMION. Acta Physica Sinica, 1991, 40(1): 14-24.doi:10.7498/aps.40.14
[12]	Ai Ke-cong, Ximen Ji-ye, Zhou Li-wei.RELATIVISTIC ABERRATION THEORY FOR A COMBINED ELECTROMAGNETIC FOCUSING-DEFLECTION SYSTEM POSSESSING A SPHERICAL CATHODE LENS. Acta Physica Sinica, 1986, 35(9): 1210-1222.doi:10.7498/aps.35.1210
[13]	DUAN YI-SHI.SOLUTION OF THE EULER'S EQUATION OF HARMONIC MAPS AND ITS APPLICATION TO GENERAL RELATIVITY. Acta Physica Sinica, 1984, 33(6): 826-832.doi:10.7498/aps.33.826
[14]	ZHOU LI-WEI, AI KE-CONG, PAN SHUN-CHEN.ON ABERRATION THEORY OF THE COMBINED ELECTROMAGNETIC FOCUSSING CATHODE LENSES. Acta Physica Sinica, 1983, 32(3): 376-392.doi:10.7498/aps.32.376
[15]	DING SHOU-QIAN.A GENERALIZED FORMULA OF THE THIRD ORDER ELECTRICAL DEFLECTION ABERRATION COEFFICIENTS AND THEIR RELATION WITH THE RASTER PATTERN. Acta Physica Sinica, 1983, 32(2): 145-155.doi:10.7498/aps.32.145
[16]	LI YU, XIMEN JI-YE.ON THE RELATIVISTIC ABERRATION THEORY OF A COMBINED FOCUSING-DEFLECTION SYSTEM WITH MULTI-STAGE DEFLECTORS. Acta Physica Sinica, 1982, 31(5): 604-614.doi:10.7498/aps.31.604
[17]	LI YU.THE RELATIVISTIC ABERRATION THEORY OF A COMBINED ELECTRIC-MAGNETIC FOCUSING-DEFIECTION SYSTEM. Acta Physica Sinica, 1981, 30(9): 1155-1164.doi:10.7498/aps.30.1155
[18]	XIMEN JI-YE.THE ELECTRON-OPTICAL CHARACTERS AND ABBERATION THEORY OF A COMBINED SYSTEM CONSISTS OF ELECTROSTATIC ROUND LENS AND MAGNETIC DEFLECTOR. Acta Physica Sinica, 1978, 27(3): 247-259.doi:10.7498/aps.27.247
[19]	XIMEN JI-YE.THE ELECTRON OPTICAL PROPERTIES AND ABERRATION THEORY OF A COMBINED MAGNETIC ROUND LENS AND DEFLECTION SYSTEM. Acta Physica Sinica, 1977, 26(1): 34-53.doi:10.7498/aps.26.34
[20]	K. H. Tzou.RELATIVISTIC HAMILTONIAN SYSTEM OF A PARTICLE AND RELATIVISTIC HEISENBERG'S EQUATION. Acta Physica Sinica, 1947, 7(1): 9-20.doi:10.7498/aps.7.9

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Vol. 35, Issue 11 - 1986-06-05

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