WIAS Preprint No. 967, (2004)

Quasiperiodic regimes in multisection semiconductor lasers


Authors

  • Gonchenko, Sergey V.
  • Schneider, Klaus R.
  • Turaev, Dmitry

2010 Mathematics Subject Classification

  • 34C29 78A60 34C20 34C60

Keywords

  • multisection semiconductor laser, mode approximation, quasiperiodic regime, normal form, stability

DOI

10.20347/WIAS.PREPRINT.967

Abstract

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.

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