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Nonsingular boundary integral equation for two‐dimensional electromagnetic scattering problems
Author(s) -
Young D. L.,
Chiu C. L.,
Fan C. M.
Publication year - 2006
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.21467
Subject(s) - integral equation , helmholtz equation , electric field integral equation , scattering , mathematical analysis , boundary element method , boundary value problem , mathematics , physics , invertible matrix , computational electromagnetics , finite element method , electromagnetic field , optics , quantum mechanics , thermodynamics
This paper is concerned with the application of the nonsingular boundary integral equation (NSBIE) for 2D electromagnetic scattering problems in the frequency domain. In the proposed NSBIE, the conventional treatment of the singular integral for the boundary integral equation is circumvented by employing the Gauss flux theorem and the concept of equipotential. Then the NSBIE for the Helmholtz equation is used to predict the scattering of plane wave by a perfectly electric conducting circular cylinder of infinite length at normal incidence. Based on the good results, as compared with solutions of the analytical and boundary‐element methods, it is verified that the NSBIE is a highly simple and efficient numerical scheme for 2D electromagnetic scattering simulations. © 2006 Wiley Periodicals, Inc. Microwave Opt Technol Lett 48: 760–765, 2006; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.21467