On the averaged electric fields near perfectly conducting and insulating rough surfaces

Johan Sten

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)

Abstract

Roughness modelled as small objects scattered upon conducting or insulating surfaces is discussed. Using the image technique to remove the supporting surface, the polarisability of the individual objects as well as their concentration on the surface are linked with an effective surface displacement. Conditions for the averaged field over the displaced surface are derived and physical interpretations of the terms involved are provided. The closest neighbour interaction is taken into account in the case of hemispherical bosses using image reflections in spheres. To elucidate the impact of roughness, solutions of some basic electrostatic problems, namely the roughened parallel-plate capacitor and a point source facing a planar conducting or insulating rough surface, are examined in some detail. Special attention is paid to image singularities responsible for the field reflected by a rough boundary.
Original languageEnglish
Pages (from-to)227-238
Number of pages12
JournalJournal of Electrostatics
Volume38
Issue number3
DOIs
Publication statusPublished - 1996
MoE publication typeA1 Journal article-refereed

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Static Electricity
Electric fields
conduction
electric fields
roughness
Surface roughness
parallel plates
point sources
Electrostatics
capacitors
Capacitors
electrostatics
interactions

Cite this

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On the averaged electric fields near perfectly conducting and insulating rough surfaces. / Sten, Johan.

In: Journal of Electrostatics, Vol. 38, No. 3, 1996, p. 227-238.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - On the averaged electric fields near perfectly conducting and insulating rough surfaces

AU - Sten, Johan

PY - 1996

Y1 - 1996

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AB - Roughness modelled as small objects scattered upon conducting or insulating surfaces is discussed. Using the image technique to remove the supporting surface, the polarisability of the individual objects as well as their concentration on the surface are linked with an effective surface displacement. Conditions for the averaged field over the displaced surface are derived and physical interpretations of the terms involved are provided. The closest neighbour interaction is taken into account in the case of hemispherical bosses using image reflections in spheres. To elucidate the impact of roughness, solutions of some basic electrostatic problems, namely the roughened parallel-plate capacitor and a point source facing a planar conducting or insulating rough surface, are examined in some detail. Special attention is paid to image singularities responsible for the field reflected by a rough boundary.

U2 - 10.1016/0304-3886(95)00033-X

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