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Electromagnetic Scattering by Multiple Cavities Embedded in the Infinite 2D Ground Plane

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.