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三平板传输线结构的解析分析方法北大核心CSCD
引用本文:毛重阳,王冠琼,王小光.三平板传输线结构的解析分析方法北大核心CSCD[J].强激光与粒子束,2022,34(9):095010-1-095010-6.
作者姓名:毛重阳  王冠琼  王小光
作者单位:北京应用物理与计算数学研究所, 北京 100094
基金项目:国家自然科学基金项目(51907008, 51790522, 51790524, 11805019, 11975057)
摘    要:在考虑不等宽度三平板传输线的极板边缘效应和极板厚度的条件下,建立了单位长度电容、特性阻抗和各位置电场强度幅值的解析求解方法。该方法利用保角变换,将三平板传输线的不规则场边界变换为规则边界,所得结果是不带有任何近似的准确值。该方法计算结果与利用商业软件Ansoft进行模拟所得结果一致,证明该方法正确且可行。

关 键 词:特性阻抗  三平板传输线  保角变换  施瓦茨-克里斯托费尔变换  分式线性变换  解析求解
收稿时间:2021-11-07

Analytical method of triplate transmission lines configuration
Institution:Institute of Applied Physics and Computational Mathematics , Beijing 100094, China
Abstract:Triplate transmission line is widely used in huge pulsed power facilities. However, the accurate circuit parameters of the triplate transmission line are difficult to obtain because of three factors. The first one is that the widths of the anode and cathode plates are different, the second one is that the plates’ thickness cannot be ignored, and the third one is that the electromagnetic field near the edges of the plates is seriously distorted. Taking all these three factors into consideration, an analytical method was established to obtain the capacitance per meter, the characteristic impedance, and the electric field magnitudes of the triplate transmission line. In this method, the distorted boundaries are transformed into regular boundaries based on conformal mapping and accurate results are obtained without approximation. Results obtained by this method are the same as those obtained by electromagnetic simulation with a commercial code called Ansoft, which indicates the correctness of this method.
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