Behaviour and onset of low-dimensional chaos with a periodically varying loss in single-mode homogeneously broadened laser

In this work, we numerically study the behaviour of the single-mode homogeneously broadened laser versus a large perturbation of the steady state. Periodic behaviour develops for suitable values of the ratio of the population decay rates ℘\wp, which has been analytically predicted by the analytical approach developed in the previous works, and for a pumping parameter 2C2C situated below and above the instability threshold 2C2th2{C}_{2{\rm{th}}}. We here show that the adiabatic elimination of the polarisation with sinusoidal time-dependent perturbation of the cavity rate leads the single-mode homogenously broadened laser to exhibit chaotic emission, if the frequency ω\omega is equal to the natural frequency ΔP{\Delta }_{P}. Increasing the pumping parameter 2C2C, the laser undergoes a period-doubling sequence. This cascade of period doubling drives the laser towards chaos. We also propose a reformulation of our analytical procedure, which describes the self-pulsing regime of the single-mode homogeneously broadened laser. We here report that asymmetric aspect that appears in the time evolution of the electric field is due to phase effects between the electric field components.

Abstract licence: CC BY-NC-ND

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