0501588 20240103221606.920190215235959.9 85063193497 000460127100012 10.1137/18M1179183 27 s. P cav_un_epca*02550700036-1399791 (2019)257-283SIAM Society for Industrial and Applied Mathematics optoelectronics semiconductor laser strained germanium microbridges van Roosbroeck phase field design optimization topology optimization PDE-constrained optimization cav_un_auth*0309054 Adam Lukáš UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory CZ Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0372392 Hintermüller M. DE cav_un_auth*0372393 Peschka D. DE cav_un_auth*0240271 Surowiec T. DE http://library.utia.cas.cz/separaty/2019/MTR/adam-0501588.pdf https://epubs.siam.org/doi/abs/10.1137/18M1179183 A multimaterial topology optimization framework using phase elds is suggested for the simultaneous optimization of mechanical and optical properties to be used in the development of optoelectronic devices. The technique provides a means of determining the cross section of the material alignments needed to create a sufficiently large strain pro le within an optically active region of a photonic device. Based on the physical aspects of the underlying device, a nonlinear multiphysics model for the elastic and optical properties is proposed in the form of a linear elliptic partial differential equation (elasticity) coupled via the underlying topology to an eigenvalue problem of Helmholtz type (optics). The differential sensitivity of the displacement and eigenfunctions with respect to the changes in the underlying topology is investigated. 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 presence of a net gain at low voltages for the optimal design is demonstrated by solving the steady-state van Roosbroeck (drift-diffusion) system, which proves the viability of the approach for the development of next-generation photonic devices. WOS BA 10000 10100 10101 2020 4 RVO:67985556 http://hdl.handle.net/11104/0294167 cav_un_auth*0372394 Southern University of Science and Technology CN cav_un_auth*0343250 Humboldt-Universität zu Berlin DE cav_un_auth*0305285 Weierstraß-Institut für Angewandte Analysis und Stochastik DE cav_un_auth*0372395 Philipps-Universität at Marburg DE S 2 Article Astronomy Astrophysics|Physics Particles Fields C MATHEMATICS.APPLIED 1.865 0.309 18 0.00714 1.014 6970 114 0.977 37.43 1.72 679 Q1 1.457 94 Q2 82.006 72.6 Q1 Q4 1.09 Q2 72.605 2019 85063193497 SCOPUS PUBMED 000460127100012 WOS cav_un_epca*0255070 Siam Journal on Applied Mathematics 0036-1399 1095-712X Roč. 79 č. 1 2019 257 283 SIAM Society for Industrial and Applied Mathematics