Splines and their reciprocal-bases in volume-integral equations

Author

Sabbagh, Harold A.

Author_Institution

Sabbagh Associates Inc., Bloomington, IN, USA

Volume

29

Issue

6

fYear

1993

fDate

11/1/1993 12:00:00 AM

Firstpage

4142

Lastpage

4152

Abstract

The use of higher-order splines and their reciprocal-bases in discretizing the volume-integral equations of electromagnetics is outlined. The discretization is carried out by means of the method of moments, in which the expansion functions are the higher-order splines, and the testing functions are the corresponding reciprocal-basis functions. These functions satisfy an orthogonality condition with respect to the spline expansion functions. The method is not Galerkin, but the structure of the resulting equations is quite regular. The theory is applied to the volume-integral equations for the unknown current density, or unknown electric field, within a scattering body, and to the equations for eddy current nondestructive evaluation. Numerical techniques for computing the matrix elements are given

Keywords

electromagnetism; integral equations; splines (mathematics); current density; eddy current nondestructive evaluation; electric field; electromagnetics; expansion functions; higher-order splines; matrix elements; method of moments; orthogonality condition; reciprocal-bases; scattering body; testing functions; volume-integral equations; Couplings; Current density; Electromagnetic scattering; Frequency; Integral equations; Maxwell equations; Moment methods; Slabs; Testing; Time domain analysis;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.280869

Filename

280869