• Media type: Text; Report; E-Book
  • Title: Simulation of microwave and semiconductor laser structures including PML: Computation of the eigen mode problem, the boundary value problem, and the scattering matrix
  • Contributor: Hebermehl, Georg [Author]; Schefter, Jürgen [Author]; Schlundt, Rainer [Author]; Tischler, Thorsten [Author]; Zscheile, Horst [Author]; Heinrich, Wolfgang [Author]
  • Published: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2005
  • Language: English
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.1067
  • Keywords: 65F15 ; 35Q60 ; Microwave device -- Semiconductor laser -- Simulation -- Maxwell's equations -- Scattering matrix -- Boundary value problem -- PML boundary condition -- Eigenvalue problem -- Linear algebraic equations -- Rectangular grids -- Tetrahedral nets ; 65F10 ; 65N22 ; 78M25 ; article
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  • Description: The properties of microwave circuits and optical structures can be described in terms of their scattering matrix which is extracted from the orthogonal decomposition of the electric field. We discretize the Maxwell' equations with ortogonal grids using the Finite Integration Technique (FIT). Maxwellian grid equations are formulated for staggered nonequidistant rectangular grids and for tetrahedral nets with corresponding dual Voronoi cells. The surface of the computation domain is assumed to be an electric or magnetic wall, open-region problems require uniaxial Perfectly Matched Layer (PML) absorbing boundary conditions. Calculating the excitations at the ports, one obtains eigenvalue problems and then large-scale systems of linear algebraic equations. This paper is a revised version of the preprint no. 987.
  • Access State: Open Access