Georg Hebermehl°, Rainer Schlundt°, H. Zscheile* , and Wolfgang Heinrich*

Published in:

Surveys on Mathematics for Industry, vol. 9, no. 2, pp. 117-129 (1999).

Abstract:

The scattering matrix describes monolithic microwave intergrated circuits that are connected to transmission lines in terms of their wave value modes. Using a finite-volume method the correspomding boundary value problem of Maxwell's equations can be solved by means of a two-step procedure. An eigenvalue problem for non-symmetric matrices yields the wave modes. The eigenfunctions determine the boundary values at the three dimensional structure. The electromagnetic fields and the matrix elements are achieved by the solution of large-scale systems of linear quations with indefinite symmetric matrices. Improved numerical solutions for the time and memory consuming problems are treated in this paper. Numerical results are discussed for real life problems. The numemrical effort could be reduced considerably. This paper is a revised version of the preprint No. 378.