WIAS Preprint No. 612, (2000)

Numerical simulation for lossy microwave transmission lines including PML


  • Hebermehl, Georg
  • Hübner, Friedrich-Karl
  • Schlundt, Rainer
    ORCID: 0000-0002-4424-4301
  • Tischler, Thorsten
  • Zscheile, Horst
  • Heinrich, Wolfgang

2010 Mathematics Subject Classification

  • 35Q60 65F15 65N22


  • Microwave device simulation, Maxwell's equations, PML boundary condition, Finite integration technique, Eigenvalue problem




Finite-difference analysis of transmission lines including lossy materials and radiation effects leads to a complex eigenvalue problem. A method is presented which preserves sparseness and delivers only the small number of interesting modes out of the complete spectrum. The propagation constants are found solving a sequence of eigenvalue problems of modified matrices with the aid of the shift-and-invert mode of the Arnoldi method. In an additional step non physical Perfectly Matched Layer modes are eliminated.

Appeared in

  • Lecture Notes in Computaional Science and Engineering, Vol. 18 (2001), Eds. Ursula van Rienen, Michael Günther, Dirk Hecht: Scientific Computing in Electrical Engineering, pp. 267-275

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