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

Carlos Perez-Arancibia, Oscar P. Bruno*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

14 Citations (Scopus)

Abstract

This paper presents high-order integral equation methods for the 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.
Original languageEnglish
Number of pages9
JournalJournal of the Optical Society of America. A: Optics, Image Science, and Vision
Volume31
Issue number8
DOIs
Publication statusPublished - 15 Jul 2014
Externally publishedYes

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