Novel closed-form expressions for MoM impedance matrix elements for numerical modeling of shielded passive components

David L. Heckmann, Steven L Dvorak

Research output: Contribution to journalArticle

14 Scopus citations


Recent advances in multi-layer insulating substrates have necessitated the development of efficient numerical modeling tools capable of handling complex three dimensional structures. In this paper, a closed-form solution is presented for the Method of Moments impedance matrix elements obtained in the integral equation modeling of shielded passive circuits. This closed-form solution is written in terms of rapidly-computable special functions and has proven to be two orders of magnitude faster than direct numerical integration.

Original languageEnglish (US)
Pages (from-to)1534-1537
Number of pages4
JournalIEEE Transactions on Magnetics
Issue number3 PART 1
Publication statusPublished - 1999



  • Incomplete lipschitz-hankel integral
  • Integral equation
  • Moment method

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Physics and Astronomy (miscellaneous)

Cite this