WIAS Preprint No. 2501, (2018)

Doping optimization for optoelectronic devices


  • Peschka, Dirk
    ORCID: 0000-0002-3047-1140
  • Rotundo, Nella
  • Thomas, Marita
    ORCID: 0000-0001-9172-014X

2010 Mathematics Subject Classification

  • 82D37 49J20 49M15


  • Optoelectronics, drift-diffusion model, second-order optimization




We present a mathematical and numerical framework for the optimal design of doping profiles for optoelectronic devices using methods from mathematical optimization. With the goal to maximize light emission and reduce the thresholds of an edge-emitting laser, we consider a drift-diffusion model for charge transport and include modal gain and total current into a cost functional, which we optimize in cross sections of the emitter. We present 1D and 2D results for exemplary setups that point out possible routes for device improvement.

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