Rigorous approach to analysis of arbitrary profiled shielded micro-strip line: TEM-mode

G. Safonova, E. Vinogradova
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Abstract

The Dirichlet problem for Laplace's equation in an area between two arbitrary profiled infinitely long cylinders is rigorously solved by the Method of Regularization. The obtained solution is applied to the accurate analysis of the shielded microstrip line with homogeneous dielectric filling and thick conductor — the structure supporting the transmission of an ideal TEM-wave. Capacitance and characteristic impedance are calculated for different shapes of transmission line profile with an accent on the near rectangular profile modelled by the super-quadric equation. Effect of the finite conductor thickness on characteristic impedance is comprehensively examined.
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分析任意异形屏蔽微带线的严格方法:tem模式
用正则化方法严格地解决了任意两个异形无限长圆柱体之间的拉普拉斯方程的Dirichlet问题。将所得解应用于支持理想tem波传输结构的均匀介质填充和厚导体屏蔽微带线的精确分析。对不同形状的传输线剖面进行了电容和特性阻抗的计算,重点研究了用超二次方程模拟的近矩形剖面。全面考察了有限导体厚度对特性阻抗的影响。
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