Towards Doping Optimization of Semiconductor Lasers

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.

Keywords:

• Optimal control
• optoelectronics
• semiconductor design

Funding

This work is supported by the Einstein Foundation Berlin in the framework of Matheon, project OT1 (D.P., M.T.), and by the ERC-2010-AdG no.267802 Analysis of Multiscale Systems Driven by Functionals (N.R.).