Lang and Kobayashi phase equation and its validity for low pump

Thomas Erneux, Paul M. Alsing, Vassilios Kovanis, Athanasios Gavrielides

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

An asymptotic theory of Lang and Kobayashi (LK) equations describing a semiconductor laser subject to optical feedback is investigated in detail. We obtain a simple third order, nonlinear, delay-differential equation for the phase of the laser field which admits multiple branches of time-periodic intensity solutions. The theory is based on typical values of LK dimensionless parameters and assumes that the pump parameter is not too small. In this paper, we examine the validity of this assumption by considering the small pump limit. We find the same phase equation as the leading problem of our asymptotic analysis but now with a stronger damping coefficient. This phase equation fails as a correct asymptotic approximation only for very low pump, close to the lasing threshold. The approximation for this case is more complicated and reveals a stronger influence of the laser intensity.

Original languageEnglish
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsWeng W. Chow, Marek Osinski
Pages701-709
Number of pages9
Publication statusPublished - Jan 1 1996
Externally publishedYes
EventPhysics and Simulation of Optoelectronic Devices IV - San Jose, CA, USA
Duration: Jan 29 1996Feb 2 1996

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume2693

Other

OtherPhysics and Simulation of Optoelectronic Devices IV
CitySan Jose, CA, USA
Period1/29/962/2/96

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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