RELATIVISTIC ABERRATION THEORY FOR A COMBINED ELECTROMAGNETIC FOCUSING-DEFLECTION SYSTEM POSSESSING A SPHERICAL CATHODE LENS
RELATIVISTIC ABERRATION THEORY FOR A COMBINED ELECTROMAGNETIC FOCUSING-DEFLECTION SYSTEM POSSESSING A SPHERICAL CATHODE LENS
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DOI：
10.7498/aps.35.1210
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发表时间：
1987
期刊：
影响因子：
3.1
通讯作者：
A. Kecong;X. Jiye;Z. Li-wei
中科院分区：
文献类型：
--
作者：
A. Kecong;X. Jiye;Z. Li-wei
本文应用变分原理研究了电磁复合聚焦-偏转球面阴极透镜的相对论象差理论。我们讨论了下列一般情况：从阴极发射的电子具有确定的能量和角初始分布;物场和像场具有有限曲率;阴极同时处于磁场和横向电场中。对于这些一般情况，以显式形式给出了任意理想像面上一阶和三阶横向几何像差和色差的像差系数的一般公式。本文导出的象差公式不仅普遍适用于宽束和细束阴极透镜,而且普遍适用于相对论或非相对论,阴极和屏为球面或平面时的各种情况。在本工作中，电子轨迹是以复数形式描述的。像差以矩阵形式表示，因此适合于计算机计算。
In the present paper, by means of the variational principle, the relativistic aberration theory for a combined electromagnetic foeusing-deflection system possessing a spherical cathode lens is studied. We have discussed the following general cases: electrons emitted from the cathode possess definite energy and angular initial distributions; the objective and image fields have finite curvatures; the cathode is situated in both magnetic and transversal electric fields. For these general cases the general formulae of aberration coefficients for first and third order transversal geometrical and chromatic aberrations on any ideal image plane are given in explicit form. The above-mentioned aberration coefficient formulae can be applied to the following eases: either the wide electron beam system or the narrow electron beam.system; either the relativistic or the non-relativistic electron optical system; either the cathode or the screen having the spherical or the planar shapes. In the present work, the electron trajectories are described in the complex form. The aberrations are expressed in the matrix form, and are thus suitable for computer computations.