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Volume 1, Issue 6
Analysis and Numerical Solution of Transient Electromagnetic Scattering from Overfilled Cavities

J. Huang & A. Wood

Commun. Comput. Phys., 1 (2006), pp. 1043-1055.

Published online: 2006-01

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  • Abstract

A hybrid finite element (FEM) and Fourier transform method is implemented to analyze the time domain scattering of a plane wave incident on a 2-D overfilled cavity embedded in the infinite ground plane. The algorithm first removes the time variable by Fourier transform, through which a frequency domain problem is obtained. An artificial boundary condition is then introduced on a hemisphere enclosing the cavity that couples the fields from the infinite exterior domain to those inside. The exterior problem is solved analytically via Fourier series solutions, while the interior region is solved using finite element method. In the end, the image functions in frequency domain are numerically inverted into the time domain. The perfect link over the artificial boundary between the FEM approximation in the interior and analytical solution in the exterior indicates the reliability of the method. A convergence analysis is also performed.

  • Keywords

Time domain overfilled cavity scattering Fourier transform finite element method.

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COPYRIGHT: © Global Science Press

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@Article{CiCP-1-1043, author = {J. Huang and A. Wood}, title = {Analysis and Numerical Solution of Transient Electromagnetic Scattering from Overfilled Cavities}, journal = {Communications in Computational Physics}, year = {2006}, volume = {1}, number = {6}, pages = {1043--1055}, abstract = {

A hybrid finite element (FEM) and Fourier transform method is implemented to analyze the time domain scattering of a plane wave incident on a 2-D overfilled cavity embedded in the infinite ground plane. The algorithm first removes the time variable by Fourier transform, through which a frequency domain problem is obtained. An artificial boundary condition is then introduced on a hemisphere enclosing the cavity that couples the fields from the infinite exterior domain to those inside. The exterior problem is solved analytically via Fourier series solutions, while the interior region is solved using finite element method. In the end, the image functions in frequency domain are numerically inverted into the time domain. The perfect link over the artificial boundary between the FEM approximation in the interior and analytical solution in the exterior indicates the reliability of the method. A convergence analysis is also performed.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7993.html} }
TY - JOUR T1 - Analysis and Numerical Solution of Transient Electromagnetic Scattering from Overfilled Cavities AU - J. Huang & A. Wood JO - Communications in Computational Physics VL - 6 SP - 1043 EP - 1055 PY - 2006 DA - 2006/01 SN - 1 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7993.html KW - Time domain KW - overfilled cavity KW - scattering KW - Fourier transform KW - finite element method. AB -

A hybrid finite element (FEM) and Fourier transform method is implemented to analyze the time domain scattering of a plane wave incident on a 2-D overfilled cavity embedded in the infinite ground plane. The algorithm first removes the time variable by Fourier transform, through which a frequency domain problem is obtained. An artificial boundary condition is then introduced on a hemisphere enclosing the cavity that couples the fields from the infinite exterior domain to those inside. The exterior problem is solved analytically via Fourier series solutions, while the interior region is solved using finite element method. In the end, the image functions in frequency domain are numerically inverted into the time domain. The perfect link over the artificial boundary between the FEM approximation in the interior and analytical solution in the exterior indicates the reliability of the method. A convergence analysis is also performed.

J. Huang and A. Wood. (2006). Analysis and Numerical Solution of Transient Electromagnetic Scattering from Overfilled Cavities. Communications in Computational Physics. 1 (6). 1043-1055. doi:
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