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.

© 2014 Optical Society of America

Electromagnetic scattering from finite and infinite array of two-dimensional overfilled cavities in a conductive surface using a hybrid finite element surface integral equation method

Babak Alavikia and Omar M. Ramahi
J. Opt. Soc. Am. A 29(11) 2444-2450 (2012)

Finite-element solution of the problem of scattering from cavities in metallic screens using the surface integral equation as a boundary constraint

Babak Alavikia and Omar. M. Ramahi
J. Opt. Soc. Am. A 26(9) 1915-1925 (2009)

High order integral equation method for diffraction gratings

Wangtao Lu and Ya Yan Lu
J. Opt. Soc. Am. A 29(5) 734-740 (2012)

Electromagnetic scattering from cylindrical objects above a conductive surface using a hybrid finite-element–surface integral equation method

Babak Alavikia and Omar M. Ramahi
J. Opt. Soc. Am. A 28(12) 2510-2518 (2011)

Hybrid finite-element-boundary integral algorithm to solve the problem of scattering from a finite and infinite array of cavities with stratified dielectric coating

Babak Alavikia and Omar M. Ramahi
J. Opt. Soc. Am. A 28(6) 1022-1031 (2011)