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Surface integral methods for high‐frequency electromagnetic scattering
Author(s) -
Ganesh M.,
Hawkins S. C.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700050
Subject(s) - discretization , integral equation , surface (topology) , scattering , surface integral , mathematical analysis , wavelength , volume integral , mathematics , dipole , electric field integral equation , physics , optics , geometry , quantum mechanics
Surface integral equation based methods are advantageous for simulation of electromagnetic waves scattered by three dimensional obstacles, because they efficiently reduce the dimension of the problem and are robust for high‐frequency problems. However, the cost of setting up the associated discretized dense linear systems is prohibitive due to evaluation of highly oscillatory magnetic and electric dipole surface integral operators using standard cubatures. The computational complexity of evaluating such integrals depends on the incident wave frequency, and the size and shape of the obstacles. In this work we discuss a surface integral reformulation of the scattering problem that involves evaluation of surface integrals with a highly oscillatory physical density, and discuss methods for efficient evaluation of such integrals for a class of smooth three dimensional scatterers whose diameter is a large multiple of the incident wavelength. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)