用线性边界元法分析多层介质传输线

Linear boundary element method of calculating the problems of transmission line about piecewise homogeneous dielectric

线性边界元法(LBEM)是在常数边界元法(CBEM)的基础上,从线性插值函数出发将边界单元按线性分布来进行处理的一种数值方法。由于工程实际中的传输线一般都通过绝缘包层或介质支架等将导体隔离开来,亦即,工程实际中的传输线基本属于分区均匀(或非均匀)介质中的传输线,故用线性边界元法计算了分区均匀介质填充传输线边值问题,实例计算了两类分区均匀介质填充传输线的电容,其计算精度能满足工程设计需要。

The linear boundary element method （LBEM） make boundary element into linear segment from linear interpolating function. In engineering practice, the transmission line belongs to piecewise homogeneous dielectric, so the solution of the boundary-value problem is associated with transmission lines filled with piecewiso homogeneous dielectric which is transformed into a matrix of LBEM. The procedure to obtain the capacitance is described, and the results of capacitance are given.