Nonlinear Dynamics in Semiconductor Lasers 2023 - Abstract
Tlidi, Mustapha
We report the existence of stable, dissipative light bullets in diffractive and dispersive Kerr cavities. These three-dimensional (3D) localized structures consist of either isolated, bounded, or clustered structures forming well-defined 3D patterns. They can be considered stationary states in the reference frame, moving with the group velocity of light inside the cavity. The number of LBs and their 3D distribution are determined by the initial conditions, while their maximum power remains constant for a fixed value of the system parameters [1, 2]. Their bifurcation diagram allows us to explain this phenomenon as a manifestation of the homoclinic snaking for dissipative light bullets. However, as the injected beam intensity increases, the LBs lose their stability, and the cavity field exhibits giant 3D pulses of short duration. The statistical characterization of the pulse amplitude reveals a long-tailed probability distribution, indicating the occurrence of extreme events. Extreme events are likely to occur, according to the statistical analysis of the pulse amplitude, which displays a long-tailed probability distribution. However, when the polarization degrees of freedom are taken into account, light bullets exhibit a breathing phenomenon. Stokes parameters and frequency spectra are used to describe the space-time dynamics of breathing light bullets [3].
[1]SS Gopalakrishnan, M Tlidi, M Taki, K Panajotov, Dissipative light bullets in Kerr cavities: multistability, clustering, and rogue waves, Physical review letters 126 (15), 153902 (2021).
[2]M Tlidi and M Taki, Rogue waves in nonlinear optics, Advances in Optics and Photonics 14 (1), 87-147 (2022).
[3] SS Gopalakrishnan, M Tlidi, M Taki, K Panajotov, Breathing of dissipative light bullets of nonlinear polarization mode in Kerr resonators, Optics Letters 47 (15), 3652-3655 (2022)