MATRIX-THEORY OF THE MOTION OF A CHARGED-PARTICLE BEAM IN CURVILINEAR SPACE-TIME .1. GENERAL-THEORY
MATRIX-THEORY OF THE MOTION OF A CHARGED-PARTICLE BEAM IN CURVILINEAR SPACE-TIME .1. GENERAL-THEORY
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DOI：
10.1016/0168-9002(93)90563-w
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发表时间：
1993-06-20
影响因子：
1.4
通讯作者：
HELLBORG, R
中科院分区：
文献类型：
--
作者：
DYMNIKOV, A;HELLBORG, R
带电粒子束流沿弯曲光轴沿着运动的广义相对论理论，包括引力场，对于束流最佳控制系统的设计是很重要的。本文是两篇文章中的第一篇，提出了一种新的矩阵方法。这使得带电粒子束运动的相对论矩阵理论的发展在最一般的情况下，一个弯曲的参考轨迹，包括引力。该方法基于三个基本矩阵：参考坐标系矩阵、曲率矩阵和电磁矩阵。给出了粒子束运动方程和包含空间电荷的电磁场方程。所使用的符号与测量场和能量的单位无关。在第二篇论文中，也发表在这个问题上，矩阵和递归方法求解非线性运动方程将被提出。
A general relativistic theory of charged particle beam motion along a curved optical axis, including the gravitational field, is important for designers of optimal beam control systems. In this paper, which is the first of two, a new matrix approach is presented. This allows the development of a relativistic matrix theory for charged particle beam motion in the most general case of a curved reference trajectory, including the gravitational force. This approach is based on three basic matrices: the reference frame matrix, the curvature matrix and the electromagnetic matrix. The equations of the particle beam motion and of the electromagnetic field, including the space charge, are given. The notations used is independent of the units of the measured fields and energies. In a second paper, also published in this issue, the matrix and recursive methods for solving the nonlinear equations of motion will be presented.