WIAS Preprint No. 459, (1998)

Travelling Wave Equations for Semiconductor Lasers with Gain Dispersion


  • Bandelow, Uwe
    ORCID: 0000-0003-3677-2347
  • Sieber, Jan
  • Wenzel, Hans
    ORCID: 0000-0003-1726-0223
  • Wolfrum, Matthias
    ORCID: 0000-0002-4278-2675
  • Wünsche, Hans-Jürgen

2010 Mathematics Subject Classification

  • 78A60 78A50 78-99


  • Semiconductor laser modelling, gain dispersion of semiconductors, DFB Lasers




This paper modifies the coupled mode model for semiconductor lasers, taking into account the gain dispersion of the optical waveguide. Fitting the true gain curve by a Lorentzian, we obtain a correction for the dielectric function of the wave-guide. A review of the derivation of the coupled mode model from the Maxwell Equations, including the corrected dielectric function, leads to an extended set of model equations. This extended model consists of the modified coupled mode equations and additional polarization equations and reflects spectral selectivity due to the geometry (waveguide dispersion) as well as the material properties (material dispersion). Although it is mathematically more complex, it does not increase the computational effort for the dynamical simulation essentially and, thus, it should replace the original model at least for numerical calculations.

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