WIAS Preprint No. 612, (2000)
Numerical simulation for lossy microwave transmission lines including PML
Authors
- 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
Keywords
- Microwave device simulation, Maxwell's equations, PML boundary condition, Finite integration technique, Eigenvalue problem
DOI
Abstract
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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