MICROSTRIP CAPACITANCE FOR A CIRCULAR DISK THROUGH MATCHED ASYMPTOTIC EXPANSIONS.

Weng Cho Chew, J. A. Kong

Research output: Contribution to journalArticle

Abstract

The solution of the potential around two parallel circular disks separated by a dielectric slab is obtained by using the method of matched asymptotic expansions, asymptotic formula for the capacitance has been derived in the limit of small separation 2 delta . The formula obtained includes terms of order delta as well. The mixed boundary value problem is solved by dividing the space around the parallel plates into three regions; the exterior region, the edge region, and the interior region. The solution of the edge region incorporating dielectric effects is obtained by using the Wiener-Hopf technique. The exterior solution of the circular disk problem is obtained by using Hankel transforms. The Hankel transform representation of the exterior solution facilitates the easy derivation of its edge expansion from the Lipschitz-Hankel integrals.

Original languageEnglish (US)
Pages (from-to)302-317
Number of pages16
JournalSIAM Journal on Applied Mathematics
Volume42
Issue number2
DOIs
StatePublished - Jan 1 1982

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Matched Asymptotic Expansions
Capacitance
Hankel transform
Boundary value problems
Wiener-Hopf Technique
Mixed Boundary Value Problem
Hankel
Asymptotic Formula
Lipschitz
Interior
Term

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

MICROSTRIP CAPACITANCE FOR A CIRCULAR DISK THROUGH MATCHED ASYMPTOTIC EXPANSIONS. / Chew, Weng Cho; Kong, J. A.

In: SIAM Journal on Applied Mathematics, Vol. 42, No. 2, 01.01.1982, p. 302-317.

Research output: Contribution to journalArticle

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