A Statistical Dynamics Study on the Evolution of the Spatial and Momentum Distribution of Electron Beams

Liu Xuedong; Tang Tiantong

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A Statistical Dynamics Study on the Evolution of the Spatial and Momentum Distribution of Electron Beams

更新时间：2025-12-08

- A Statistical Dynamics Study on the Evolution of the Spatial and Momentum Distribution of Electron Beams
- Acta Electronica Sinica Issue 6, Pages: 14-18(1998)
- 作者机构：
  
  1. 西安交通大学
  2. 西安交通大学西安 710049
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN20
- Published：1998
- 稿件说明：
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[1]刘学东,唐天同.电子束横向空间及动量分布演化的统计动力学研究[J].电子学报,1998(06):14-18.

Liu Xuedong, Tang Tiantong. A Statistical Dynamics Study on the Evolution of the Spatial and Momentum Distribution of Electron Beams[J]. Acta Electronica Sinica, 1998, (6): 14-18.
[1]刘学东,唐天同.电子束横向空间及动量分布演化的统计动力学研究[J].电子学报,1998(06):14-18. DOI：

Liu Xuedong, Tang Tiantong. A Statistical Dynamics Study on the Evolution of the Spatial and Momentum Distribution of Electron Beams[J]. Acta Electronica Sinica, 1998, (6): 14-18. DOI：

摘要

利用统计动力学方法建立了描述旋转对称电子束的电子空间及动量分布演化的变态伏拉索夫方程

并在一阶旁轴近似下研究出一种半解析计算方法

用本方法计算了漂移空间电子束分布的演化和包络的扩张

计算实例表明

该半解析方法与全数值计算方法结果符合较好。

Abstract

A modified Vlasov equation which describes the evolution of the spatial and momentum distribution of axisymmetrical electron beams is developed based on the statistical dynamics theory. A semi-analytical solution of the equation is given in the paraxial approximation. The evolution and the beam envelope spreading for electron beams in drifting space are calculated using the above theory and methods; the calculation results agree very well with the numerical computation results.

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Related Institution

School of Electronic Science and Engineering,NUDT

PLA unit 63880

School of Electronic Science and EngineeringNUDTChangshaHunan 410073China

PLA unit 63880LuoyangHenan 471003China

University of Electronic Science and Technology of China,Institute of High-Energy Electronics

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