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基于伽辽金级数的空间电荷场计算模型
The calculation model of space-charge field based on the Galerkin series
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摘要: 利用局部伽辽金矩量法,建立了电子注空间电荷场的2.5维计算模型.将空间电荷场在径向展开为各个模式的叠加,利用伽辽金级数表示,通过求解其系数方程组,最终求得空间电荷场.利用本文的模型,计算分析了电子注空间电荷场的特性,并研究了模型中仿真参量对空间电荷场计算结果的影响.本文的空间电荷场计算模型利用粒子模拟基本方法,可以应用到速调管注波互作用计算模型中.Abstract: In this paper,we present a model of calculating the electron beam space-charge field using the partial Galerkin moments method. The space-charge field can be expanded as a series of different modes and thus using the Galerkin series.So,the space-charge field can be obtained finally through the solving the Galerkin coefficient equations set.A 2.5-dimensinal computer program of the beamwave interaction in a klystron is compiled based on this model.Using the results from the program,the characteristic of the beam space-charge field is analyzed and the effects of the parameter in the simulation on the calculation result of the space-charge field are studied.This model uses the particle in cell method and it can be used in the 2-or 3-dimensional calculation model of the beam-wave interaction in a klystron.
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