Frequency-dependent [L] and [R] matrices for lossy microstrip lines

Loizos P. Vakanas, Andreas C. Cangellaris, John L. Prince

Research output: Contribution to journalArticlepeer-review


The problem of electromagnetic field penetration in the finite-resistivity conductors of a uniform, multiple, coupled transmission line system (MTL) is considered. Under the assumption of quasitransverse electric and magnetic (quasi-TEM) mode of propagation, the problem of determining the per-unit-length resistance and inductance matrices for such MTL systems reduces to solving a quasi-magnetostatic problem. An integral equation for the current density distribution inside the conductors is formulated and solved numerically using the method of moments. From straightforward energy considerations and the current density distribution, the per-unit-length resistance and inductance matrices are calculated. Several microstrip configurations are then analyzed and the effects of the geometrical characteristics of the structures on the per-unit-length inductance and resistance matrices, as well as their frequency dependence are investigated. The frequency-dependent inductance and resistance matrices can then be used for the analysis of pulse propagation on MTL systems under the assumption of a quasi-transverse electric and magnetic (quasi-TEM) mode of propagation.

Original languageEnglish (US)
Pages (from-to)281-318
Number of pages38
JournalTransactions of the Society for Computer Simulation
Issue number4
StatePublished - Dec 1 1991
Externally publishedYes

ASJC Scopus subject areas

  • Software
  • Modeling and Simulation
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Computational Theory and Mathematics

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