Study of the convergence of volume integral equation method

Author

Zhou, R. ; Shafai, L.

Author_Institution

Dept. of Electr. & Comput. Eng., Manitoba Univ., Winnipeg, Man., Canada

Volume

3

fYear

1997

fDate

13-18 July 1997

Firstpage

1830

Abstract

To solve the electromagnetic scattering from material objects of arbitrary geometry, a volume integral equation (VIE) formulation is developed. It is shown that perfect conductors can be treated as dielectrics by letting their permittivity approach infinity. In this method, the polarization current is defined by using the equivalence theorem and solved by a moment method. To date the method has been successfully used to solve a number of scattering problems, but its convergence has not been studied carefully. This paper addresses this issue and examines the convergence for both dielectric and conductor problems.

Keywords

convergence of numerical methods; electric current; electromagnetic wave polarisation; electromagnetic wave scattering; integral equations; method of moments; permittivity; EM scattering problems solution; arbitrary geometry; conductor problems; convergence; dielectrics; equivalence theorem; material objects; moment method; perfect conductors; permittivity; polarization current; volume integral equation method; Conducting materials; Convergence; Dielectric materials; Electromagnetic scattering; Electromagnetic wave polarization; Geometry; H infinity control; Integral equations; Moment methods; Permittivity;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 1997. IEEE., 1997 Digest

Conference_Location

Montreal, Quebec, Canada

Print_ISBN

0-7803-4178-3

Type

conf

DOI

10.1109/APS.1997.631618

Filename

631618