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Method of Fundamental Solutions for Scattering Problems of Electromagnetic Waves

D.L. Young1,2, J.W. Ruan2

Corresponding author, Fax: +886-2-23626114, Email:
Department of Civil Engineering & Hydrotech Research Institute, National Taiwan University, Taipei, 10617, TAIWAN.

Computer Modeling in Engineering & Sciences 2005, 7(2), 223-232.


The applications of the method of fundamental solutions (MFS) for modeling the scattering of time-harmonic electromagnetic fields, which are governed by vector Helmholtz equations with coupled boundary conditions, are described. Various perfectly electric conductors are considered as the scatterers to investigate the accuracy of the numerical performance of the proposed procedure by comparing with the available analytical solutions. It is also the intention of this study to reveal the characteristics of the algorithms by comparisons with other numerical methods. The model is first validated to the exact solutions of the electromagnetic wave propagation problems for the scatterers of a circular cylinder and a sphere. The radar cross sections (RCS) of a prolate spheroid are then presented to illustrate the predictive capability of the algorithms for more complex geometric shapes of the scatterers. The present investigation has demonstrated that the MFS technique is simple, efficient, and accurate for modeling 2D and 3D electromagnetic scattering problems.


Cite This Article

Young, D., Ruan, J. (2005). Method of Fundamental Solutions for Scattering Problems of Electromagnetic Waves. CMES-Computer Modeling in Engineering & Sciences, 7(2), 223–232.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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