Quasiperiodic regimes in multisection semiconductor lasers
- Gonchenko, Sergey V.
- Schneider, Klaus R.
- Turaev, Dmitry
2010 Mathematics Subject Classification
- 34C29 78A60 34C20 34C60
- multisection semiconductor laser, mode approximation, quasiperiodic regime, normal form, stability
We consider a mode approximation model for the longitudinal dynamics of a multisection semiconductor laser which represents a slow-fast system of ordinary differential equations for the electromagnetic field and the carrier densities. Under the condition that the number of active sections $q$ coincides with the number of critical eigenvalues we introduce a normal form which admits to establish the existence of invariant tori. The case $q=2$ is investigated in more detail where we also derive conditions for the stability of the quasiperiodic regime.