EIGENVALUE ANALYSIS OF SPHERICAL RESONANT CAVITY USING RADIAL BASIS FUNCTIONS

被引：0
|
作者：
Lai, S. J. [1 ]
Wang, B. Z. [1 ]
Duan, Y. [2 ]
机构：
[1] Univ Elect Sci & Technol China, Inst Appl Phys, Chengdu 610054, Sichuan, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Appl Math, Chengdu 610054, Sichuan, Peoples R China
来源：
PROGRESS IN ELECTROMAGNETICS RESEARCH LETTERS | 2011年 / 24卷
基金：
中国国家自然科学基金;
关键词：
D O I：
10.2528/PIERL11040904
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This paper applies a meshless method based on radial basis function (RBF) collocation to solve three-dimensional scalar Helmholtz equation in rectangular coordinates and analyze the eigenvalues of spherical resonant cavity. The boundary conditions of spherical cavity are deduced. The RBF interpolation method and the collocation procedure are applied to the Helmholtz and boundary condition equations, and their discretization matrix formulations are obtained. The eigenvalues of spherical resonant cavity with natural conformal node distribution are computed by the proposed method. Their results are agreement with the analytic solution.
引用
收藏
页码：69 / 76
页数：8
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