WIAS Preprint No. 235, (1996)

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, Maxwellian equations, finite-volume method, finite-difference method, eigenvalue problem, system of simultaneous linear equations.


The electric properties of monolithic microwave integrated circuits can be described in terms of their scattering matrix using Maxwellian equations. The corresponding three-dimensional boundary value problem of the Maxwellian equations can be solved by means of a finite-volume scheme in the frequency domain. 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.

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