Self-organization of light in media with competing nonlocal nonlinearities
Résumé
We study light propagation in media with competing nonlocal nonlinearities. We demonstrate that such system can give rise to self-organization of light into stable states of trains or hexagonal arrays of light filaments, depending on the transverse dimensionality. This long-range ordering can take place in mere unidirectional propagation of light. We discuss the dynamics of long-range ordering and the crucial role which phase plays for this phenomenon. Furthermore we discuss how transverse dimensionality affects the order of the phase-transition.