NDLI: The three dimensional weak form of the conjugate gradient FFT method for solving scattering problems

Content Provider	IEEE Xplore Digital Library
Author	Zwamborn, P. van den Berg, P.M.
Copyright Year	1963
Abstract	The problem of electromagnetic scattering by a three-dimensional dielectric object can be formulated in terms of a hypersingular integral equation, in which a grad-div operator acts on a vector potential. The vector potential is a spatial convolution of the free space Green's function and the contrast source over the domain of interest. A weak form of the integral equation for the relevant unknown quantity is obtained by testing it with appropriate testing functions. The vector potential is then expanded in a sequence of the appropriate expansion functions and the grad-div operator is integrated analytically over the scattering object domain only. A weak form of the singular Green's function has been used by introducing its spherical mean. As a result, the spatial convolution can be carried out numerically using a trapezoidal integration rule. This method shows excellent numerical performance.<>
Sponsorship	IEEE Microwave Theory and Techniques Society
Starting Page	1757
Ending Page	1766
Page Count	10
File Size	877328
File Format	PDF
ISSN	00189480
Volume Number	40
Issue Number	9
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1992-09-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Electromagnetic scattering Integral equations Convolution Dielectrics Tellurium Testing Moment methods Fast Fourier transforms Electromagnetic diffraction Wave functions
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering Radiation

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