Causal RLGC(f) models for transmission lines from measured S-parameters

Jianmin Zhang*, James L. Drewniak, David J. Pommerenke, Marina Y. Koledintseva, Richard E. Dubroff, Wheling Cheng, Zhiping Yang, Qinghua B. Chen, Antonio Orlandi

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

Frequency-dependent causal RLGC(f) models are proposed for single-ended and coupled transmission lines. Dielectric loss, dielectric dispersion, and skin-effect loss are taken into account. The dielectric substrate is described by the two-term Debye frequency dependence, and the transmission line conductors are of finite conductivity. In this paper, three frequency-dependent RLGC models are studied. One is the known frequency-dependent analytical RLGC model ( RLGC-I), the second is the RLGC(f) model (RLGC-II) proposed in this paper, and the third (RLGC-III) is same as the RLGC -II, but with causality enforced by the Hilbert transform in frequency domain. The causalities of the three RLGC models are corroborated in the time domain by examining the propagation of a well-defined pulse through three different transmission lines: a single-ended stripline, a single-ended microstrip line, and an edge-coupled differential stripline pair. A clear time-domain start point is shown on each received pulse for the RLGC-II model and the RLGC-III model, where their corresponding start points overlap. This indicates that the proposed RLGC(f) model (RLGC-II) is causal. Good agreement of simulated and measured S-parameters has also been achieved in the frequency domain for the three transmission lines by using the proposed frequency-dependent RLGC (f) model.

Original languageEnglish
Article number5352214
Pages (from-to)189-198
Number of pages10
JournalIEEE Transactions on Electromagnetic Compatibility
Volume52
Issue number1
DOIs
Publication statusPublished - 1 Feb 2010
Externally publishedYes

Keywords

  • Causality
  • Dielectric materials
  • Hilbert transforms
  • Scattering parameters
  • Transmission line modeling

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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