Magnetic moment and surface dipole distributions of circular holes in a conducting screen

Author

Sten, Johan C E

Author_Institution

VTT Inf. Technol., Tech. Res. Centre of Finland, Espoo, Finland

Volume

41

Issue

4

fYear

1999

fDate

11/1/1999 12:00:00 AM

Firstpage

290

Lastpage

297

Abstract

This paper presents a method to account for the quasi-static magnetic interaction among circular holes in a conducting screen. Employing the oblate spheroidal system of coordinates, we derive expressions for the field arising when magnetic point charges and dipoles of arbitrary orientation are brought close to the hole in the plane of the screen. Using a set of two-dimensional (2-D) integrals for the Legendre polynomials, the “modes” for the potential are interpreted as being due to certain eigenfunctions expressing the density distribution of superficial magnetic dipoles in the plane of the hole. The dipole distributions are applied in discretised form to estimate the coupling of the surface polarizations of two similar circular holes

Keywords

Legendre polynomials; eigenvalues and eigenfunctions; integral equations; magnetic moments; magnetic shielding; magnetostatics; Legendre polynomials; circular holes; conducting screen; density distribution; eigenfunctions; magnetic moments; magnetic point charges; oblate spheroidal system of coordinates; orientation; quasi-static magnetic interaction; superficial magnetic dipoles; surface dipole distributions; surface polarizations; two-dimensional integrals; Apertures; Boundary conditions; Eigenvalues and eigenfunctions; Electromagnetic coupling; Electromagnetic wave polarization; Electrostatics; Helium; Magnetic fields; Magnetic moments; Polynomials;

fLanguage

English

Journal_Title

Electromagnetic Compatibility, IEEE Transactions on

Publisher

ieee

ISSN

0018-9375

Type

jour

DOI

10.1109/15.809796

Filename

809796