Asymptotic methods applied to semiconductor laser models

Thomas Erneux

doi:10.1117/12.391466

14 July 2000 Asymptotic methods applied to semiconductor laser models

Thomas Erneux

Proceedings Volume 3944, Physics and Simulation of Optoelectronic Devices VIII; (2000) https://doi.org/10.1117/12.391466
Event: Symposium on Integrated Optoelectronics, 2000, San Jose, CA, United States

Abstract

Semiconductor lasers subject to a weak external perturbation (optical injection, optical feedback) are unstable devices that generate pulsating intensities. Most of our understanding of these instabilities comes from intensive numerical simulations of simple model equations. These computations are long and delicate because the solution of the laser equations exhibits several time scales. Asymptotic methods may either simplify the laser original equations or lead to useful approximations of the solution of these equations. We illustrate these techniques by reviewing the Hopf bifurcation problem of the well known Lang and Kobayashi equations modeling a laser subject to optical feedback. Basic approximations are reviewed, a low pump problem is examined in detail, and analytical approximations of the (multiple) Hopf bifurcation line in the case of a short cavity are derived for the first time.

Citation Download Citation

Thomas Erneux "Asymptotic methods applied to semiconductor laser models", Proc. SPIE 3944, Physics and Simulation of Optoelectronic Devices VIII, (14 July 2000); https://doi.org/10.1117/12.391466

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