Locally corrected Nyström method for EM scattering by bodies of revolution

Authors:
John L. Fleming;Aihua W. Wood;William D. Wood, Jr.
Affiliations:
Department of Mathematics and Statistics, Air Force Institute of Technology, 2950 Hobson Way, AFIT/ENC, Bldg. 640, Wright-Patterson AFB, OH;Department of Mathematics and Statistics, Air Force Institute of Technology, 2950 Hobson Way, AFIT/ENC, Bldg. 640, Wright-Patterson AFB, OH;Department of Electrical and Computer Engineering, Air Force Institute of Technology, 2950 Hobson Way, AFIT/ENG, Wright-Patterson AFB, OH
Venue:
Journal of Computational Physics
Year:
2004

Citing 4
Cited 1

Locally corrected multidimensional quadrature rules for singular functions

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Generalized Gaussian quadrature rules for systems of arbitrary functions

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Numerical solution of the Helmholtz equation in 2D and 3D using a high-order Nystro¨m discretization

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Generalized Gaussian Quadratures and Singular Value Decompositions of Integral Operators

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A high-order Nyström discretization scheme for boundary integral equations defined on rotationally symmetric surfaces

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Abstract

The Nyström method allows for high order solutions to integral equations. Modifying the Nyström method with local corrections for singular integrands allows the method to be applied to the inherently singular kernels of frequency-domain electromagnetic integral equations. Here the efficiency and high order convergence properties of the Nyström method are brought together with the body of revolution (BOR) geometry to create an efficient approach to solving this important class of problems. In this paper we summarize the locally corrected Nyström method and the magnetic field integral equation (MFIE) for a BOR scatterer. Results are presented that demonstrate high order convergence and excellent agreement with reference data.