Title :
An improved conjugate gradient FFT method for 2-D TE scattering problems
Author :
Zwamborn, A.P.M. ; van den Berg, P.M.
Author_Institution :
Dept. of Electr. Eng., Delft Univ. of Technol., Netherlands
Abstract :
It is pointed out that the problem of two-dimensional scattering of a transverse electric (TE) polarized wave by a 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 unknown electric flux density is obtained by testing it with roof-top functions. As the next step, the vector potential is expanded in a sequence of the roof-top functions and the grad-div operator is integrated analytically over the dielectric object domain only. Numerical results are presented for a lossy dielectric coaxially layered cylinder. The method considered shows excellent numerical performance.<>
Keywords :
Green´s function methods; conjugate gradient methods; electromagnetic wave scattering; fast Fourier transforms; integral equations; 2D transverse electric scattering; conjugate gradient FFT method; dielectric object; electric flux density; electromagnetic scattering; free-space Green´s function; grad-div operator; hypersingular integral equation; lossy dielectric coaxially layered cylinder; roof-top functions; spatial convolution; vector potential; Dielectrics; Electromagnetic scattering; Fast Fourier transforms; Fourier transforms; Green´s function methods; Integral equations; Laboratories; Permittivity; Tellurium; Testing;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1991. AP-S. Digest
Conference_Location :
London, Ontario, Canada
Print_ISBN :
0-7803-0144-7
DOI :
10.1109/APS.1991.175199
