Optical Dark Rogue Wave

Abstract

Photonics enables to develop simple lab experiments that mimic water rogue wave generation phenomena, as well as relativistic gravitational effects such as event horizons, gravitational lensing and Hawking radiation. The basis for analog gravity experiments is light propagation through an effective moving medium obtained via the nonlinear response of the material. So far, analogue gravity kinematics was reproduced in scalar optical wave propagation test models. Multimode and spatiotemporal nonlinear interactions exhibit a rich spectrum of excitations, which may substantially expand the range of rogue wave phenomena, and lead to novel space-time analogies, for example with multi-particle interactions. By injecting two colliding and modulated pumps with orthogonal states of polarization in a randomly birefringent telecommunication optical fiber, we provide the first experimental demonstration of an optical dark rogue wave. We also introduce the concept of multi-component analog gravity, whereby localized spatiotemporal horizons are associated with the dark rogue wave solution of the two-component nonlinear Schrödinger system.

Floquet analysis of Kuznetsov-Ma breathers: A path towards spectral stability of rogue waves

“…This absence of point spectrum intriguingly suggests the following: if some additional terms (linear or nonlinear) were incorporated in the original NLS model, such that a partial stabilization of the background was achieved, then the PS state would be more robust and, hence, more easily observable. Indeed, such a partial stabilization of the PS seems to be the case in water waves, and similar experimentally tractable examples [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. Moreover, the perturbations that lead to dynamical instability, as shown in Figs.…”

“…Part of the appeal of the subject lies in the emergence of a diverse array of relevant experimental observations in systems ranging from hydrodynamics [5][6][7] to superfluid helium [8], from nonlinear optics [9][10][11][12][13][14] to plasmas [15], and from Faraday surface ripples [16] to parametrically driven capillary waves [17]. On the theoretical side, candidate structures related to extreme events in prototypical, nonlinear Schrödinger (NLS) type models, have emerged from the seminal works of Peregrine [18], Kuznetsov [19], Ma [20], and Akhmediev [21], as well as Dysthe and Trulsen [22].…”

Spatiotemporal algebraically localized waveforms for a nonlinear Schrödinger model with gain and loss

“…In recent years, the aforementioned wave structures are receiving increasing attention, due to their argued potential relevance towards the mathematical description of extreme events and rogue waves [11][12][13][14]. The interest in these solutions is justified by many relevant experimental observations in various physical contexts, ranging from hydrodynamics [15][16][17] and nonlinear optics [18][19][20][21][22][23], to superfluidity [24] and plasmas [25].…”

Les fibres optiques pour simuler les phénomènes hydrodynamiques avec la lumière

“…La compréhension de ces structures génériques offre également de nouvelles pistes d'explications aux dynamiques turbulentes observées en présence de désordre temporel ou spatial. Si les travaux présentés dans cet article s'inscrivent dans le contexte d'une propagation passive scalaire, il est également possible d'exploiter les autres degrés de liberté de l'optique fibrée, comme l'existence de polarisations distinctes [6], d'un comportement multimodal ou bien d'un gain. Les configurations fibrées en cavité, qu'elles soient passives ou actives (i.e.…”