WIAS Preprint No. 2180, (2015)

Towards doping optimization of semiconductor lasers


Authors

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

2010 Mathematics Subject Classification

  • 82D37 49J20 49M15

Keywords

  • semiconductor design, optimal control, optoelectronics

DOI

10.20347/WIAS.PREPRINT.2180

Abstract

We discuss analytical and numerical methods for the optimization of optoelectronic devices by performing optimal control of the PDE governing the carrier transport with respect to the doping profile. First, we provide a cost functional that is a sum of a regularization and a contribution, which is motivated by the modal net gain that appears in optoelectronic models of bulk or quantum-well lasers. Then, we state a numerical discretization, for which we study optimized solutions for different regularizations and for vanishing weights.

Appeared in

  • J. Comput. Theor. Transp., 45 (2016), pp. 410--423.

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