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

JOSA A, Vol. 31, Issue 8, pp. 1738-1746 (2014)

http://dx.doi.org/10.1364/JOSAA.31.001738

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### 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

**OCIS Codes**

(000.4430) General : Numerical approximation and analysis

(290.1350) Scattering : Backscattering

(290.5880) Scattering : Scattering, rough surfaces

(240.3695) Optics at surfaces : Linear and nonlinear light scattering from surfaces

**ToC Category:**

Optics at Surfaces

**History**

Original Manuscript: May 19, 2014

Manuscript Accepted: June 17, 2014

Published: July 15, 2014

**Citation**

Carlos Pérez-Arancibia and Oscar P. Bruno, "High-order integral equation methods for problems of scattering by bumps and cavities on half-planes," J. Opt. Soc. Am. A **31**, 1738-1746 (2014)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-8-1738

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