WIAS Preprint No. 971, (2004)

Thermodynamics-based modeling edge-emitting quantum well lasers


  • Bandelow, Uwe
    ORCID: 0000-0003-3677-2347
  • Gajewski, Herbert
  • Hünlich, Rolf

2010 Mathematics Subject Classification

  • 78A60 35G25 35Q60 80A20 76M10


  • semiconductor lasers, continuity equations, Poisson equation, wave guide equations, photon rate equations, heat flow equation, entropy balance equation, discretization, iteration scheme


This paper describes the modeling and the simulation of edge-emitting quantum well lasers, based on the drift-diffusion equations and equations for the optical field. By applying fundamental thermodynamic principles as the maximum entropy principle and the principle of local thermal equilibrium we derive a self-consistent energy transport model which can be proven to meet the thermodynamic requirements. It's numerical solution is discussed explicitly, by starting from the discretization procedure and by ending up with the iteration scheme. As an example, we demonstrate the simulation of a long-wavelength ridge-waveguide multi-quantum well laser.

Appeared in

  • U. Bandelow, H. Gajewski, R. Hünlich, Chapter 3: Fabry--Perot Lasers: Thermodynamics-based Modeling, in: Optoelectronic Devices --- Advanced Simulation and Analysis, J. Piprek, ed., Springer, New York, 2005, pp. 63-85

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