WIAS Preprint No. 962, (2004)

Instabilities of stationary states in lasers with long-delay optical feedback


  • Yanchuk, Serhiy
  • Wolfrum, Matthias
    ORCID: 0000-0002-4278-2675

2010 Mathematics Subject Classification

  • 34K60 34K20 34K26


  • Lang-Kobayashi system, laser with feedback, external cavity mode, singularly perturbed delay-differential equation, stability




We study the Lang-Kobayashi model in the long-delay limit, focussing our attention on the stability properties of external cavity modes (ECMs) of this system. We show that ECMs can display different types of instabilities: strong instabilities and weak modulational-type instability. We explain the origin of these instabilities and show how they affect the complicated dynamics of the Lang-Kobayashi model.

Appeared in

  • SIAM J. Appl. Dyn. Syst. Vol. 9, No. 2 (2010), 519-535.

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