Nonlinear Dynamics in Semiconductor Lasers 2023 - Abstract
Clerc, Marcel
Systems with energy injection and dissipation self-organize by forming stationary two-dimensional patterns at the onset of spatial instabilities. Increasing the imbalance between injection and dissipation of energy causes disordered patterns with complex spatiotemporal behaviors to form. In a liquid crystal light-valve with optical feedback, we examine the turbulent dynamics of labyrinthine patterns experimentally and theoretically. By determining the phase and amplitude of the complex patterns, we show that the system exhibits phase and defects turbulence characterized by power spectrum exponents 2 and 3, respectively. Additionally, we reveal an exponent 2 in the power spectrum of the orientational field associated to the labyrinthine patterns. The structure functions associated with light intensity allow us to establish that the observed dynamical behaviors are also of intermittent nature. We determine experimentally the largest Lyapunov exponent, which shows the chaotic character of the dynamics. Further, to theoretically capture the experimental observations, we provide a phenomenological model.