WIAS Preprint No. 2500, (2018)

Optimization of a multiphysics problem in semiconductor laser design


  • Adam, Lukáš
    ORCID: 0000-0001-8748-4308
  • Hintermüller, Michael
    ORCID: 0000-0001-9471-2479
  • Peschka, Dirk
    ORCID: 0000-0002-3047-1140
  • Surowiec, Thomas M.
    ORCID: 0000-0003-2473-4984

2010 Mathematics Subject Classification

  • 35J60 74S05 5Q93 49Q10 90C90 90C06 78A60


  • Optoelectronics, semiconductor laser, strained germanium microbridges, van Roosbroeck, phase field, design optimization, topology optimization, PDE-constrained optimization




A multimaterial topology optimization framework is suggested for the simultaneous optimization of mechanical and optical properties to be used in the development of optoelectronic devices. Based on the physical aspects of the underlying device, a nonlinear multiphysics model for the elastic and optical properties is proposed. Rigorous proofs are provided for the sensitivity of the fundamental mode of the device with respect to the changes in the underlying topology. After proving existence and optimality results, numerical experiments leading to an optimal material distribution for maximizing the strain in a Ge-on-Si microbridge are given. The highly favorable electronic properties of this design are demonstrated by steady-state simulations of the corresponding van Roosbroeck (drift-diffusion) system.

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