BiCG-FFT T-Matrix method for solving for the scattering solution from inhomogeneous bodies

Author

Lin, J.H. ; Chew, W.C.

Author_Institution

Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL

Volume

44

Issue

7

fYear

1996

fDate

7/1/1996 12:00:00 AM

Firstpage

1150

Lastpage

1155

Abstract

A BiCG-FFT T-Matrix algorithm is proposed to efficiently solve three-dimensional scattering problems of inhomogeneous bodies. The memory storage is of O(N) (N is the number of unknowns) and each iteration in BiCG requires O(N log N) operations. A good agreement between the numerical and exact solutions is observed. The convergence rate for lossless and lossy bodies of various sizes are shown. It is also demonstrated that the matrix condition number for fine grids is the same as that for coarse grids

Keywords

conjugate gradient methods; convergence of numerical methods; electromagnetic wave scattering; fast Fourier transforms; BiCG-FFT T-Matrix method; bi-conjugate gradient; coarse grids; convergence rate; exact solutions; fine grids; inhomogeneous bodies; iteration; lossy bodies; matrix condition number; memory storage; scattering solution; three-dimensional scattering problems; Costs; Dielectrics; Electromagnetic scattering; Equations; Microwave theory and techniques; Nonuniform electric fields; Plasma applications; Plasma stability; Tokamaks; Transmission line matrix methods;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.508651

Filename

508651