Instability of speckle patterns in random media with noninstantaneous Kerr nonlinearity

Abstract

Onset of the instability of a multiple-scattering speckle pattern in a random medium with Kerr nonlinearity is significantly affected by the noninstantaneous character of the nonlinear medium response. The fundamental time scale of the spontaneous speckle dynamics beyond the instability threshold is set by the largest of times $T_{\mathrm{D}}$ and ${\tau }_{\mathrm{NL}}$, where $T_{\mathrm{D}}$ is the time required for the multiple-scattered waves to propagate through the random sample and ${\tau }_{\mathrm{NL}}$ is the relaxation time of the nonlinearity. Inertial nature of the nonlinearity should complicate the experimental observation of the instability phenomenon.

3 pages, 2 figures, to appear in Optics Letters

References in corpus (2)

• Statistical Theory for Incoherent Light Propagation in Nonlinear Media
• Langevin description of speckle dynamics in nonlinear disordered media

Cited by in corpus (6)

• Second harmonic generation in suspensions of spherical particles
• Effects of pulse collisions in a multilayer system with noninstantaneous cubic nonlinearity
• Spectral transformations in the regime of pulse self-trapping in a nonlinear photonic crystal
• Dynamic instability of speckle patterns in nonlinear random media
• Propagation of nonlinear waves in disordered media
• Pulse propagation in one-dimensional disordered photonic crystals: Interplay of disorder with instantaneous and relaxing nonlinearities