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

Johan Sten

Research output: Contribution to journalArticleScientificpeer-review

7 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)290-297
Number of pages8
JournalIEEE Transactions on Electromagnetic Compatibility
Volume41
Issue number4
DOIs
Publication statusPublished - 1999
MoE publication typeA1 Journal article-refereed

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Magnetic moments
Eigenvalues and eigenfunctions
magnetic moments
Polynomials
Polarization
dipoles
conduction
Legendre functions
magnetic dipoles
density distribution
eigenvectors
polarization
estimates
interactions

Cite this

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Magnetic moment and surface dipole distributions of circular holes in a conducting screen. / Sten, Johan.

In: IEEE Transactions on Electromagnetic Compatibility, Vol. 41, No. 4, 1999, p. 290-297.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Magnetic moment and surface dipole distributions of circular holes in a conducting screen

AU - Sten, Johan

PY - 1999

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N2 - 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.

AB - 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.

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DO - 10.1109/15.809796

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JO - IEEE Transactions on Electromagnetic Compatibility

JF - IEEE Transactions on Electromagnetic Compatibility

SN - 0018-9375

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