×

Eigen mode solver for microwave transmission lines. (English) Zbl 0876.65081

Summary: The electromagnetic properties of microwave transmission lines can be described using Maxwell’s equations in the frequency domain. Applying a finite-volume scheme results in an algebraic eigenvalue problem. In this paper an improved numerical computation of the eigenmodes is presented. It avoids the time- and memory-consuming computation of all eigenvalues in order to calculate a selected set of propagation constants using an iterative method that is carried out twice. The numerical effort and the storage requirements can be reduced considerably.

MSC:

65Z05 Applications to the sciences
35Q60 PDEs in connection with optics and electromagnetic theory
78A55 Technical applications of optics and electromagnetic theory
65N25 Numerical methods for eigenvalue problems for boundary value problems involving PDEs
65F15 Numerical computation of eigenvalues and eigenvectors of matrices

Software:

ARPACK; eigs
PDFBibTeX XMLCite
Full Text: DOI Link

References:

[1] 1.Christ, A. and Hartnagel, H.L. ”Three-dimensional finite-difference method for the analysis of microwave-device embedding”,IEEE Transactions on Microwave Theory and Techniques, Vol. MTT-35 No. 8, June 1987, pp. 688-96. · doi:10.1109/TMTT.1987.1133733
[2] DOI: 10.1109/22.121730 · doi:10.1109/22.121730
[3] 4.Hebermehl, G., Schlundt, R., Zscheile, H. and Heinrich, W. ”Simulation of monolithic microwave integrated circuits”,Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V., preprint No. 235, 1996, pp. 1-37. · Zbl 0937.35176
[4] 5.Hebermehl, G., Schlundt, R., Zscheile, H. and Heinrich, W. ”Improved numerical solutions for the simulation of monolithic microwave integrated circuits”,Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V., preprint No. 236, 1996, pp. 1-43. · Zbl 0937.35176
[5] 6.Yee, K.S. ”Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media”,IEEE Transactions on Antennas and Propagation, Vol. AP-14 No. 3, May 1966, pp. 302-07. · Zbl 1155.78304
[6] 7.Weiland, T. ”Eine numerische Methode zur Lösung des Eigenwellenproblems längshomogener Wellenleiter”,Archiv für Elektronik und Übertragungstechnik, Vol. 31 No. 7/8, 1977, pp. 308-14.
[7] DOI: 10.1002/phbl.19860420710 · doi:10.1002/phbl.19860420710
[8] DOI: 10.1137/0613025 · Zbl 0763.65025 · doi:10.1137/0613025
[9] 10.Parlett, B.N. and Saad, Y. ”Complex shift and invert strategies for real matrices”,Linear Algebra and its Applications, Vol. 88/89, 1987, pp. 575-95. · Zbl 0623.65045 · doi:10.1016/0024-3795(87)90126-1
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.