Stability of locking in mutually delay-coupled semiconductor lasers

H Erzgraber, D Lenstra, B Krauskopf

Research output: Working paper

3 Citations (Scopus)
285 Downloads (Pure)


We investigate the continuous wave solutions of a system of two mutually delay coupled semiconductor lasers. These continuous wave solutions, which we refer to as compound laser modes (CLMs), are locked solutions of the coupled laser system where both lasers lase at a common frequency. We model the system by a set of delay differential rate equations, where we assume that, apart from possible detuning in their free running optical frequencies, the lasers are identical. We show how the structure and the stability of the CLMs depend on the main parameters, namely, the feedback phase, the feedback rate, the pump parameter, and the detuning. We identify two mechanisms for creating CLMs. First, CLMs emerge from the off-state of the coupled laser system in Hopf bifurcations. Second, CLMs are created in pairs in saddle-node bifurcations. For the special case of zero detuning we also find pitchfork bifurcations that organize the CLM structure. We show in which parameter regions CLMs exist, where they are stable, and which bifurcation curves form the boundary of the stable locking region.
Original languageEnglish
Publication statusAccepted/In press - Mar 2006

Bibliographical note

Additional information: Preprint of a paper to be presented at Photonics Europe 2006, 3-7 April 2006, Strasbourg, France. Conference organised by SPIE Europe.

Terms of use: Copyright 2006 Society of Photo-Optical Instrumentation Engineers. This paper will be published in Photonics Europe 2006: Semiconductor Lasers and Laser Dynamics II (Vol. 6184 Printed proceedings of SPIE) and is made available as an electronic reprint (preprint) with permission of SPIE. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or
modification of the content of the paper are prohibited.


  • bifurcation analysis
  • mutual coupling
  • semiconductor laser
  • delay
  • compound laser modes


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