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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2011-06-03
Eigenvalue Analysis of Spherical Resonant Cavity Using Radial Basis Functions
By
Sheng-Jian Lai,

    Dr. Sheng-Jian Lai

    Institute of Applied Physics

    University of Electronic Science and Technology of China

    China

    Homepage

Bing-Zhong Wang,

    Professor Bing-Zhong Wang

    University of Electronic Science and Technology of China

    China

    Homepage

Yong Duan

    Dr. Yong Duan

    School of Applied Mathematics

    University of Electronic Science and Technology of China

    China

    Homepage

Progress In Electromagnetics Research Letters, Vol. 24, 69-76, 2011
doi:10.2528/PIERL11040904 | Google Scholar

Abstract
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.
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Citation
Sheng-Jian Lai, Bing-Zhong Wang, and Yong Duan, "Eigenvalue Analysis of Spherical Resonant Cavity Using Radial Basis Functions," Progress In Electromagnetics Research Letters, Vol. 24, 69-76, 2011.
doi:10.2528/PIERL11040904
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