Generalized Finite Difference Method for Solving Waveguide Eigenvalue Problems

作     者：Xu, Hui Bao, Yang 

作者机构：Nanjing Univ Posts & Telecommun Dept Elect & Opt Engn Nanjing 210000 Peoples R China Southeast Univ State Key Lab Millimeter Waves Nanjing 210096 Peoples R China 

出 版 物：《APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY JOURNAL》 (Appl Comput Electromagn Soc J)

年 卷 期：2022年第37卷第3期

页      面：266-272页

核心收录：

学科分类：0810[工学-信息与通信工程] 080805[工学-电工理论与新技术] 080904[工学-电磁场与微波技术] 0808[工学-电气工程] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 

基　　金：NUPTSF [NY220074] National Nature Science Foundation of China for Youth Natural Science Foundation of Jiangsu Province for Youth [BK20200757] State Key Laboratory of Millimeter Waves [K202108] 

主　　题：Cutoff wavenumber generalized finite difference method meshless method waveguide eigen-value problem 

摘      要：- The generalized finite difference method (GFDM) is a meshless method that has become popular in recent years. The basic theory underlying GFDM is to expand the point cluster function value at the center node by Taylor s formula and then obtain the best linear combinations of these function values to represent the derivative at the central node by the least square fitting technique. Subsequently, the minimized weighted error between the approximated value and the accurate value is obtained. This paper establishes the general steps for solving waveguide eigenvalue problems with GFDM. Excellent performance is shown by comparing the proposed method and other common solutions. The robustness of the proposed method is verified by calculating the cutoff wavenumbers of typical waveguides and the eccentric circular waveguide in different modes.