Instabilities of stationary states in lasers with long-delay optical feedback
- Yanchuk, Serhiy
- Wolfrum, Matthias
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.
- SIAM J. Appl. Dyn. Syst. Vol. 9, No. 2 (2010), 519-535.