用边界元法分析非均匀介质中的传输线
Capacitance calculation for transmission line filled withpiecewise homogeneous dielectric using boundary element method
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摘要: 从静电场边值问题的积分解出发，推导出用边界元法求解分区均匀介质填充传输线问题的矩阵表达式，给出传输线电容参数的计算公式，介绍用边界元法求解分区均匀介质填充传输线问题的基本原理和求解过程。对两类传输线的计算结果表明：用边界元法求解分区均匀介质填充传输线问题，不仅具有较高的计算精度，而且可以很方便地应用于各类复杂截面分区均匀介质填充传输线问题的工程设计与计算，边界元法是求解分区均匀介质填充传输线问题的一种有效方法。Abstract: Boundary element method(BEM) is presented as a new approach for the analysis and design of various transmission lines filled with piecewise homogeneous dielectric. The solution of the boundary-value problem associated with transmission lines filled with piecewise homogeneous dielectric is transformed into a matrix formula of BEM. The procedure to obtain the capacitance is described. Two representative computational examples, eccentric coaxial cable partially filled with dielectric and transmission line of parallel dielectric-coated cylinders, are given to validate the theory, and to demonstrate the accuracy and flexibility of BEM.
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