Concerning the electrical interaction of circular holes in a plane conducting screen

Johan Sten

Research output: Contribution to journalArticleScientificpeer-review

4 Citations (Scopus)

Abstract

The potential problem of two nearby holes in an infinitely thin perfectly conducting screen immersed in a homogeneous normal electrostatic field is considered. Expressions are derived for the double layer of charge arising in the plane of the hole, the centre of gravity of this distribution and the total amount of polarization induced by a nearby point dipole. In the derivation a set of integrals are used that connect the terms of a series expansion of the potential in the oblate spheroidal system of co-ordinates with sources on the focal disk. The results are applied to solve the excess polarization and centre of the dipole distributions for two similar as well as two dissimilar holes.
Original languageEnglish
Pages (from-to)847-857
Number of pages11
JournalJournal of Electromagnetic Waves and Applications
Volume13
Issue number6
DOIs
Publication statusPublished - 1999
MoE publication typeA1 Journal article-refereed

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Polarization
conduction
dipoles
Gravitation
center of gravity
Electric fields
interactions
polarization
series expansion
derivation
electric fields

Cite this

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abstract = "The potential problem of two nearby holes in an infinitely thin perfectly conducting screen immersed in a homogeneous normal electrostatic field is considered. Expressions are derived for the double layer of charge arising in the plane of the hole, the centre of gravity of this distribution and the total amount of polarization induced by a nearby point dipole. In the derivation a set of integrals are used that connect the terms of a series expansion of the potential in the oblate spheroidal system of co-ordinates with sources on the focal disk. The results are applied to solve the excess polarization and centre of the dipole distributions for two similar as well as two dissimilar holes.",
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Concerning the electrical interaction of circular holes in a plane conducting screen. / Sten, Johan.

In: Journal of Electromagnetic Waves and Applications, Vol. 13, No. 6, 1999, p. 847-857.

Research output: Contribution to journalArticleScientificpeer-review

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AU - Sten, Johan

PY - 1999

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N2 - The potential problem of two nearby holes in an infinitely thin perfectly conducting screen immersed in a homogeneous normal electrostatic field is considered. Expressions are derived for the double layer of charge arising in the plane of the hole, the centre of gravity of this distribution and the total amount of polarization induced by a nearby point dipole. In the derivation a set of integrals are used that connect the terms of a series expansion of the potential in the oblate spheroidal system of co-ordinates with sources on the focal disk. The results are applied to solve the excess polarization and centre of the dipole distributions for two similar as well as two dissimilar holes.

AB - The potential problem of two nearby holes in an infinitely thin perfectly conducting screen immersed in a homogeneous normal electrostatic field is considered. Expressions are derived for the double layer of charge arising in the plane of the hole, the centre of gravity of this distribution and the total amount of polarization induced by a nearby point dipole. In the derivation a set of integrals are used that connect the terms of a series expansion of the potential in the oblate spheroidal system of co-ordinates with sources on the focal disk. The results are applied to solve the excess polarization and centre of the dipole distributions for two similar as well as two dissimilar holes.

U2 - 10.1163/156939399X01401

DO - 10.1163/156939399X01401

M3 - Article

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JO - Journal of Electromagnetic Waves and Applications

JF - Journal of Electromagnetic Waves and Applications

SN - 0920-5071

IS - 6

ER -