S-Parameter Calculation of Arbitrary Three-Dimensional Lossy Structures by Finite Difference Method

  • Detlev Hollmann
  • Steffen Haffa
  • Werner Wiesbeck


A three-dimensional treatment of transmission line discontinuity problems by the finite difference method is presented. Maxwell’s equations are solved in the frequency domain by solution of a boundary value problem. The presented method allows to compute the scattering parameters of an arbitrary structure, including coupling of higher order modes. The general formulation and the procedure of the method is described. Verification calculations are given and results for different microstrip discontinuities are included for the lossy and non-lossy case.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    M. Koshiba, K. Hayata, M. Suzuki, “ Finite-Element Formulation in Terms of the Electric-Field Vector for Electromagnetic Waveguide Problems”, IEEE Trans on MIT, vol. 33, pp. 900–905, June 1985Google Scholar
  2. [2]
    S.B. Worm, R. Pregla, “Hybrid Mode Analysis of Arbitrarily Shaped Planer Microwave Structures by the Method of Lines”, IEEE Trans on MTT, vol. 32, pp. 191–196, Feb. 1984CrossRefGoogle Scholar
  3. [3]
    W. Hoefer, “The Transmission-line Matrix Method — Theory and Applications”, IEEE Trans on MTT, vol. 33, pp. 882–893, Oct. 1985CrossRefGoogle Scholar
  4. [4]
    X. Zhang, K. Mei, “Time-domain Finite Difference Approach to the Calculation of the Frequency-dependent Characteristics of Microstrip Discontinuities”, IEEE Trans on MIT, vol. 36, pp. 1775–1787, Dec. 1988Google Scholar
  5. [5]
    A. Christ, H. Hartnagel, “Three-Dimensional Finite-Difference Method for the Analysis of Microwave-Device Embedding “, IEEE Trans on MTT, vol. 35, pp. 688–696, Aug. 1987CrossRefGoogle Scholar
  6. [6]
    A. Christ, “Streumatrixberechnung mit dreidimensionalen Finite-Differenzen für Mikrowellen-Chip-Verbindungen und deren CAD-Modelle”, Ph.D. Thesis, Fortschritt-Ber., VDI Reihe 21 Nr. 3, VDI Verlag Düsseldorf, 1988Google Scholar
  7. [7]
    Y. Leviatan, G.S. Sheaffer, “Analysis of Inductive Dielectric Posts in Rectangular Waveguide”, IEEE Trans on MTT, vol. 35, pp. 48–59, Jan. 1987CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Detlev Hollmann
    • 1
  • Steffen Haffa
    • 2
  • Werner Wiesbeck
    • 2
  1. 1.Standard Elektrik Lorenz AGPforzheimGermany
  2. 2.Institut für Höchstfrequenztechnik und ElektronikUniversität KarlsruheKarlsruheGermany

Personalised recommendations