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An alternative integral equation for calculating the surface charge in a parallel disk capacitor
KTH, School of Electrical Engineering (EES), Electromagnetic Engineering.ORCID iD: 0000-0001-9241-8030
2010 (English)In: Symposium Digest - 20th URSI International Symposium on Electromagnetic Theory, EMTS 2010, 2010, 608-611 p.Conference paper, Published paper (Refereed)
Abstract [en]

The potential from a parallel disk capacitor can be obtained by solving the Love integral equation. Although an expansion of the kernel yields fast convergence of the capacitance, at not too small disk separations, other quantities like the surface charge exhibit a considerably slower convergence. We present an alternative integral equation formulation of the problem that leads to more rapid convergence when computing the surface charge on the disks. The derivation of the kernel is outlined as well as the numerical implementation using a suitable set of expansion functions. Numerical results for the capacitance and the surface charge are presented, for several orders of disk separations.

Place, publisher, year, edition, pages
2010. 608-611 p.
Keyword [en]
Expansion function, Fast convergence, Integral equation formulation, Numerical implementation, Numerical results, Parallel disks, Rapid convergence
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-59231DOI: 10.1109/URSI-EMTS.2010.5637176Scopus ID: 2-s2.0-78650378384ISBN: 978-1-4244-5154-8 (print)OAI: oai:DiVA.org:kth-59231DiVA: diva2:475436
Conference
20th URSI International Symposium on Electromagnetic Theory, EMTS 2010; Berlin; 16 August 2010 through 19 August 2010
Note
QC 20120113Available from: 2012-01-10 Created: 2012-01-10 Last updated: 2012-01-13Bibliographically approved

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Norgren, Martin

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