The use of the transfinite interpolation in the method of moments applied to electromagnetic scattering by dielectric cylinders

Author

Doncker, Philippe De

Author_Institution

Fac. des Sci., Univ. Libre de Bruxelles, Belgium

Volume

48

Issue

5

fYear

2000

fDate

5/1/2000 12:00:00 AM

Firstpage

661

Lastpage

670

Abstract

The method of moments (MoM) solution of electromagnetic scattering presents two major numerical difficulties: the number of unknowns and the computation time necessary to calculate the matrix elements. To circumvent these problems, a MoM using the transfinite interpolation and a reduced integration scheme is presented here. The so-called h and p versions of the new method are applied to the scattering of an electromagnetic wave by an infinite dielectric cylinder (TM case) in the Richmond formulation. The transfinite and classical methods are compared in terms of the convergence rates of the radar cross section and of the total electric field inside the dielectric. The results confirm the superiority of the new schemes as predicted by the theory

Keywords

convergence of numerical methods; dielectric bodies; electromagnetic wave scattering; integration; interpolation; method of moments; radar cross-sections; MoM; Richmond formulation; convergence rates; dielectric cylinders; electromagnetic scattering; matrix elements; method of moments; radar cross section; reduced integration scheme; total electric field; transfinite interpolation; Convergence; Design automation; Dielectrics; Electromagnetic scattering; Finite element methods; Integral equations; Interpolation; Moment methods; Radar scattering; Solid modeling;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.855484

Filename

855484