Time-delayed nonlinear optical systems: temporal instability and cooperative chaotic dynamics

We present the results of numerical simulation of a nonlinear optical system with a time-delayed feedback which exhibits spatio-temporal chaotic states. The model incldues three main phenomena governing the system: temporal delay, diffusion and diffraction. We focused our attention on the statistical properties of this system and analyzed the join action of mentioned phenomena, features of spatial spectra in wide range of parameters, scaling relations. We found that under certain conditions powers spectrum of phase fluctuations in chaotic states monotonically decreases as a function of spatial frequency. This causes us to anticipate that such class of optical system can be used for an artificial optical turbulence simulation.