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arXiv · 1405.4336

High-order integral equation methods for problems of scattering by bumps and cavities on half-planes

Carlos Pérez-Arancibia·Oscar P. Bruno
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Abstract

This paper presents high-order integral equation methods for evaluation of electromagnetic wave scattering by dielectric bumps and dielectric cavities on perfectly conducting or dielectric half-planes. In detail, the algorithms introduced in this paper apply to eight classical scattering problems, namely: scattering by a dielectric bump on a perfectly conducting or a dielectric half-plane, and scattering by a filled, overfilled or void dielectric cavity on a perfectly conducting or a dielectric half-plane. In all cases field representations based on single-layer potentials for appropriately chosen Green functions are used. The numerical far fields and near fields exhibit excellent convergence as discretizations are refined--even at and around points where singular fields and infinite currents exist.

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Carlos Pérez-Arancibia, Oscar P. Bruno. 2014-05-17. High-order integral equation methods for problems of scattering by bumps and cavities on half-planes. https://doi.org/10.1364/josaa.31.001738

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