径向线内电子束的空间极限电流  

Space charge limited current of beam in radial transmission line

作　　者：孔龙[1] 刘庆想[1] 王少萌[1] 李相强[1] 鲁合德 马杰华[1] 

机构地区：[1]西南交通大学物理科学与技术学院,成都610031

出　　处：《强激光与粒子束》2016年第3期46-51,共6页High Power Laser and Particle Beams

基　　金：国家自然科学基金项目(11405137);中央高校基本科研业务费专项资金项目(2682014ZT20)

摘　　要：为了对径向线内电子束的空间极限电流及相关物理参量进行分析,在径向方向无穷长与束流密度轴向均匀的假设条件下,对电势满足的线性泊松方程进行了解析求解,得到了空间极限电流的解析表达式,接下来对束流密度轴向非均匀分析条件下电势满足的非线性方程进行了数值求解,并与解析结果进行了对比。研究表明径向电子束具有较高的空间极限电流且当束流接近于极限电流传输时,束密度的非均匀性明显增加,相关结论可以为径向高功率微波器件的设计提供指导。In order to study the space charge limited current and its related physical quantities,considering the infinitely long radial direction and the current density being constant in axial direction,the Poisson equation for electrical potential is solved theoretically and the expression of the space charge limited current of the beam is obtained.Then the non-linear Poisson equation which takes into consideration the non-uniform distribution of the charge density in axial direction is solved numerically.The numerical results and analytical results are compared.The results show that the radial beam has a higher space charge limited current in radial transmission line.When the beam value approaches to the space charge limited current,the non-uniform distribution of the charge density increases significantly.The relevant conclusion can provide guidance on the design of radial high power microwave devices.

关 键 词：空间极限电流 径向 解析分析 非线性 电子束 

分 类 号：TN128[电子电信—物理电子学]