Nonlinear Dynamics in Semiconductor Lasers - Abstract

Kovalev, Anton

Translational symmetry in DDE laser models

We explore numerically delay differential equation (DDE) laser models which account the spectral detuning between one of the cavity modes and the peak of the Lorentzian bandwidth limiting element. The parameter is introduced in the form of a complex phase and therefore is $2pi$-periodic. Continuous variation of this phase parameter allows for 'unwrapping' and overcoming this periodicity unveiling multiple coexisting branches in the system and reveals its translational symmetry. We illustrate the effect of translational symmetry for different DDE laser models and different dynamics related to multimode laser operation.