Boundary integral equation technique for the singular behavior of electromagnetic fields at the common tip of metallic and bi-isotropic cones with arbitrary cross section

Author

Olyslager, Frank

Author_Institution

Lab. of Electromagn. & Acoust., Ghent Univ., Belgium

Volume

42

Issue

9

fYear

1994

fDate

9/1/1994 12:00:00 AM

Firstpage

1301

Lastpage

1308

Abstract

A boundary integral equation technique is developed to determine the singular field behavior at the common tip of lossless bi-isotropic and perfectly electrically and/or magnetically conducting cones with arbitrary cross section. The kernel of the set of boundary integral equations is a Green´s function defined on a spherical surface. This Green´s function is the associated Legendre function of the first kind. The integral equations are solved with the Galerkin method of moments. The theory is illustrated with a number of examples that show the effects of bi-isotropy on the singular field behavior

Keywords

Green´s function methods; boundary-elements methods; electromagnetic field theory; electromagnetic fields; integral equations; metals; numerical analysis; Galerkin method of moments; Green´s function; Legendre function; bi-isotropic cones; boundary integral equations; common tip; cross section; electromagnetic fields; first kind; metallic cones; perfectly electrically cones; perfectly magnetically conducting cones; singular field behavior; spherical surface; Dielectrics; Eigenvalues and eigenfunctions; Electromagnetic fields; Geometry; Helium; Integral equations; Kernel; Message-oriented middleware; Moment methods; Sections;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.318651

Filename

318651