一种提取开放微波传输线电磁参数的快速算法——有限元-本征函数展开结合法  

A fast algorithm for the parameter extraction of the unbounded microwave transmission lines: hybrid finite element/eigenfunction expansion method

作　　者：韩社教[1] 马西奎[1] 董小兵[1] 

机构地区：[1]西安交通大学电气工程学院,陕西西安710049

出　　处：《光纤与电缆及其应用技术》2000年第1期15-21,共7页Optical Fiber & Electric Cable and Their Applications

基　　金：国家教委博士点专项基金资助项目!(9569835)

摘　　要：基于区域分裂的思想，通过引入一虚拟圆形边界，将开放微波传输线的整个无界区域划分为圆内和圆外两部分。圆内有限区域采用通常的有限元法离散，而将整个圆外无限区域看作一个“无限大”单元，采用以本征函数展开的Ｆｏｕｒｉｅｒ级数作为插值函数的离散方法。这种处理方法不仅保留了有限元法非常适合于含有复杂介质和任意柱（带）状导体的特点，同时也能很好地把有限元方法的求解区域推广至无穷远，从而形成了一种提取开放微波传输线电磁参数的快速算法：有限元－本征函数展开结合法。文中对几种（耦合）微带线的实例计算表明，该方法精度高、速度快。Based on the idea of region division, a novel technique known as the “hybrid finite element/eigenfunction method” is developed for the parameter extraction of microwave transmission lines with open boundary. The general principle of the technique is first to introduce a fictitious circular boundary to enclose the structures with sources and inhomogeneous dielectrics. In the interior of the circular boundary, the finite element method is used to formulate the field, whereas in the exterior region, the field is presented by an expansion of eigenfuction (in Fourier series). The method is very suitable in solving the electromagnetic problems with complicated media and arbitrary cylindric (or strip) configuration conductors, meanwhile it makes it possible for the finite element to solve open boundary regions. As some examples, the numerical results show that the method offers several advantages: accurate, fast, easy and flexible.

关 键 词：电磁参数 参数提取 有限元 本征函数 微波传输线 

分 类 号：TN925[电子电信—通信与信息系统]