An electrostatic image solution for the conducting prolate spheroid

Johan Sten, I. V. Lindell

Research output: Contribution to journalArticleScientificpeer-review

10 Citations (Scopus)

Abstract

Electrostatic image theory for a point charge on the axis of a perfectly conducting prolate spheroid is formulated. The exact image expression is found using the Havelock identity, according to which the external harmonics of the potential solution emanate from a system of continuous image sources distributed along the focal line. An approximate image is derived in the case of a slightly prolate sphere, which in the spherical limit resembles the image solution due to Lord Kelvin. An expression for the image polarization density function is derived for the axial dipolar source.
Original languageEnglish
Pages (from-to)599-609
JournalJournal of Electromagnetic Waves and Applications
Volume9
Issue number4
Publication statusPublished - 1995
MoE publication typeA1 Journal article-refereed

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Phosmet
prolate spheroids
Probability density function
Electrostatics
Polarization
electrostatics
conduction
harmonics
polarization

Cite this

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abstract = "Electrostatic image theory for a point charge on the axis of a perfectly conducting prolate spheroid is formulated. The exact image expression is found using the Havelock identity, according to which the external harmonics of the potential solution emanate from a system of continuous image sources distributed along the focal line. An approximate image is derived in the case of a slightly prolate sphere, which in the spherical limit resembles the image solution due to Lord Kelvin. An expression for the image polarization density function is derived for the axial dipolar source.",
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An electrostatic image solution for the conducting prolate spheroid. / Sten, Johan; Lindell, I. V.

In: Journal of Electromagnetic Waves and Applications, Vol. 9, No. 4, 1995, p. 599-609.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - An electrostatic image solution for the conducting prolate spheroid

AU - Sten, Johan

AU - Lindell, I. V.

PY - 1995

Y1 - 1995

N2 - Electrostatic image theory for a point charge on the axis of a perfectly conducting prolate spheroid is formulated. The exact image expression is found using the Havelock identity, according to which the external harmonics of the potential solution emanate from a system of continuous image sources distributed along the focal line. An approximate image is derived in the case of a slightly prolate sphere, which in the spherical limit resembles the image solution due to Lord Kelvin. An expression for the image polarization density function is derived for the axial dipolar source.

AB - Electrostatic image theory for a point charge on the axis of a perfectly conducting prolate spheroid is formulated. The exact image expression is found using the Havelock identity, according to which the external harmonics of the potential solution emanate from a system of continuous image sources distributed along the focal line. An approximate image is derived in the case of a slightly prolate sphere, which in the spherical limit resembles the image solution due to Lord Kelvin. An expression for the image polarization density function is derived for the axial dipolar source.

M3 - Article

VL - 9

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EP - 609

JO - Journal of Electromagnetic Waves and Applications

JF - Journal of Electromagnetic Waves and Applications

SN - 0920-5071

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ER -