Chaos synchronization based on a continuous chaos control method in semiconductor lasers with optical feedback
Abstract
Chaos synchronization using a continuous chaos control method was studied in two identical chaotic laser systems consisting of semiconductor lasers and optical feedback from an external mirror. Numerical calculations for rate equations indicate that the stability of chaos synchronization depends significantly on the external mirror position. We performed a linear stability analysis for the rate equations. Our results show that the stability of the synchronization is much influenced by the mode interaction between the relaxation oscillation frequency of the semiconductor laser and the external cavity frequency. Due to this interaction, an intensive mode competition between the two frequencies destroys the synchronization, but stable synchronization can be achieved when the mode competition is very weak.
- Publication:
-
Physical Review E
- Pub Date:
- June 2001
- DOI:
- 10.1103/PhysRevE.63.066203
- Bibcode:
- 2001PhRvE..63f6203M
- Keywords:
-
- 05.45.Xt;
- 42.65.Sf;
- 05.45.Gg;
- 05.45.Pq;
- Synchronization;
- coupled oscillators;
- Dynamics of nonlinear optical systems;
- optical instabilities optical chaos and complexity and optical spatio-temporal dynamics;
- Control of chaos applications of chaos;
- Numerical simulations of chaotic systems