WIAS Preprint No. 236, (1996)

Improved Numerical Solutions for the Simulation of Monolithic Microwave Integrated Circuits


  • Hebermehl, Georg
  • Heinrich, Wolfgang
  • Schlundt, Rainer
    ORCID: 0000-0002-4424-4301
  • Zscheile, Horst

2010 Mathematics Subject Classification

  • 35Q60 35L20 65N22 65F10 65F15


  • Microwave device, three-dimensional simulation, scattering matrix, orthogonality relation, Maxwellian equations, finite-volume method, finite-difference method, eigenvalue problem, system of simultaneous linear equations




The electrical properties of the circuits are described in terms of their scattering matrix using Maxwellian equations. Using a finite-volume scheme a three-dimensional boundary value problem for the Maxwellian equations in the frequency domain can be solved. This results in a two-step procedure: a time and memory consuming eigenvalue problem for nonsymmetric matrices and the solution of a large-scale system of linear equations with indefinite symmetric matrices. Improved numerical solutions for these two linear algebraic problems, the computation of the scattering matrix and of the used orthogonality relation are treated in this paper. The numerical effort could be reduced considerably.

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