Electromagnetic Scattering by Multiple Cavities Embedded in the Infinite 2D Ground Plane
AIR FORCE INSTITUTE OF TECHNOLOGY WRIGHT-PATTERSON AFB OH DEPT OF MATHEMATICS AND STATISTICS
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This paper is concerned with the mathematical analysis and numerical computation of the electromagnetic wave scattering by multiple open cavities, which are embedded in an infinite two-dimensional ground plane. By introducing a new transparent boundary condition on the cavity apertures, the scattering problem is reduced to a boundary value problem on the two-dimensional Helmholtz equation imposed in the separated interior domains of the cavities. The existence and uniqueness of the weak solution for the model problem is studied by using a variational approach. A block Gauss-Seidel iterative method is introduced to solve the coupled system. Numerical examples are presented to show the efficiency and accuracy of the proposed method.
- Radiofrequency Wave Propagation