新型椭圆函数波导族的保角变换有限差分解法

保角变换一直是求解边值问题的重要方法，但以往在电磁场领域的应用多限于求解静态和准静态问题。利用保角变换及椭圆函数的理论和方法结合数值技术求解导波问题中的二维Ｈｅｌｍｈｏｌｔｚ方程。

Conformal mapping finite difference method for analyzing a novel family of elliptic function waveguides

The theory of Conformal Mapping and elliptic function, integrated with pure numerical methods such as Finite Difference Method, are utilized to solve twodimensional Helmholtz equation of guided wave problems in this paper.The unique advantage of the halfanalytical numerical method is that the analytical process of Conformal Mapping can transform an irregular area into a regular one such as a rectangle.Therefore, the discretization error of numerical methods on the boundary can be avoided, and the numerical algorithm can be implemented more easily,with the computing efficiency improved.In this paper,a novel family of high power microwave structures known as pentagonal waveguides or elliptic function waveguides is analyzed systematically by the Conformal Mapping Finite Difference method(CMFD). Being verified by the measurement results and compared with some other pure numerical methods such as FEM and FDTD, CMFD is proved to have such advantages as high accuracy, efficiency,convenience and versatility.This method is also promising for dealing with other novel guidedwave structures.