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同轴波导环形相对论电子束空间极限电流
引用本文:刘静, 舒挺, 李志强. 同轴波导环形相对论电子束空间极限电流[J]. 强激光与粒子束, 2010, 22(01).
作者姓名:刘静  舒挺  李志强
作者单位:1.国防科学技术大学 光电科学与工程学院, 长沙 41 0073
摘    要:得到了1维条件下电子均匀分布时,环形电子束在同轴波导内轴向传输的空间极限电流解析表达式。通过讨论解析式在薄电子束和波导内导体半径为0等极限条件下的近似情况,分析了其合理性。在电子束非均匀分布的条件下,对空间极限电流进行了数值求解,并与解析计算结果进行了比较。理论研究表明:环形电子束在同轴波导内具有较圆柱波导内更高的空间极限电流,而且当电子束靠近波导壁时,空间极限电流会显著提高。

关 键 词:空间极限电流   同轴波导   环形电子束   1维运动   轴向强导引磁场

Space-charge limited current of hollow relativistic electron beam in coaxial waveguide
liu jing, shu ting, li zhiqiang. Space-charge limited current of hollow relativistic electron beam in coaxial waveguide[J]. High Power Laser and Particle Beams, 2010, 22.
Authors:liu jing  shu ting  li zhiqiang
Affiliation:1. College of Optoelectronic Science and Engineering,National University of Defense Technology,Changsha 410073,China
Abstract:An exact analytical expression for the space-charge-limited current of hollow relativistic electron beam in a coaxial waveguide is derived and compared with the existing formula for extremely thin hollow electron beam and that in cylindrical waveguide. Also, the numerical result from nonlinear partial differential equation of potential for the space-charge-limited current of hollow relativistic electron beam in a coaxial wave-guide is given and is much larger than that from the analytical expression. Hollow electron beam has higher space-charge limited current in coaxial waveguide than that in cylindrical waveguide and it higher when electron beam approaches the conductors of waveguide. This theoretical analysis can be used to guide the design of high power microwave coaxial waveguide.
Keywords:space-charge limited current  coaxial waveguide  hollow electron beam  one-dimension model  strong axial guiding magnetic field
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