ON THE RELATIVISTIC FIFTH ORDER GEOMETRICAL ABERRATION EQUATION OF A COMBINED FOCUSING-DEFLECTION SYSTEM

LI YU

doi:10.7498/aps.35.1488

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

1.
上海机械学院
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[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
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[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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ON THE RELATIVISTIC FIFTH ORDER GEOMETRICAL ABERRATION EQUATION OF A COMBINED FOCUSING-DEFLECTION SYSTEM

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ON THE RELATIVISTIC FIFTH ORDER GEOMETRICAL ABERRATION EQUATION OF A COMBINED FOCUSING-DEFLECTION SYSTEM

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