A fast multipole-method-based calculation of the capacitance matrix for multiple conductors above stratified dielectric media

Yuancheng C. Pan, Weng Cho Chew, L. X. Wan

Research output: Contribution to journalArticlepeer-review

Abstract

An efficient static fast-multipole-method (FMM)-based algorithm is presented in this paper for the evaluation of the parasitic capacitance of three-dimensional microstrip signal lines above stratified dielectric media. The effect of dielectric interfaces on the capacitance matrix is included in the stage of FMM when outgoing multipole expansions are used to form local multipole expansions by the use of interpolated image outgoing-to-local multipole translation functions. The increase in computation time and memory usage, compared to the free-space case, is, therefore, small. The algorithm retains O(N) computational and memory complexity of the free-space FMM, where N is the number of conductor patches.

Original languageEnglish (US)
Pages (from-to)480-490
Number of pages11
JournalIEEE Transactions on Microwave Theory and Techniques
Volume49
Issue number3
DOIs
StatePublished - Mar 2001

ASJC Scopus subject areas

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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