Pattern formation in the nonlinear Schrödinger equation with competing nonlocal nonlinearities - Archive ouverte HAL
Article Dans Une Revue Optical Data Processing and Storage Année : 2017

Pattern formation in the nonlinear Schrödinger equation with competing nonlocal nonlinearities

Résumé

We study beam propagation in the framework of the nonlinear Schrödinger equation with competing Gaussian nonlocal nonlinearities. We demonstrate that such system can give rise to self-organization of light into stable states of trains or hexagonal arrays of laments, depending on the transverse dimensionality. This long-range ordering can be achieved by mere unidirectional beam propagation. We discuss the dynamics of long-range ordering and the crucial role which the phase of the wavefunction plays for this phenomenon. Furthermore we discuss how transverse dimensionality affects the order of the phase-transition.
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Dates et versions

hal-01560999 , version 1 (12-07-2017)

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F Maucher, T Pohl, W Krolikowski, Stefan Skupin. Pattern formation in the nonlinear Schrödinger equation with competing nonlocal nonlinearities. Optical Data Processing and Storage, 2017, 3, pp.13 - 19. ⟨10.1515/odps-2017-0003⟩. ⟨hal-01560999⟩
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