Optical Kerr Spatio-Temporal Dark-Lump Dynamics of Hydrodynamic Origin

2016/02/26 by F. Baronio, S. Wabnitz, Y. Kodama · 4 citations
Physics and Astronomy · #nlin.PS

paper · pdf · doi:10.1103/physrevlett.116.173901

published as Phys. Rev. Lett. 116, 173901 (2016) · 5 pages, 3 figures

arxiv created 2016/02/26 · arxiv updated 2016/05/04

Abstract

There is considerable fundamental and applicative interest in obtaining non-diffractive and non-dispersive spatio-temporal localized wave packets propagating in optical cubic nonlinear or Kerr media. Here, we analytically predict the existence of a novel family of spatio-temporal dark lump solitary wave solutions of the (2+1)D nonlinear Schrödinger equation. Dark lumps represent multi-dimensional holes of light on a continuous wave background. We analytically derive the dark lumps from the hydrodynamic exact soliton solutions of the (2+1)D shallow water Kadomtsev-Petviashvili model, inheriting their complex interaction properties. This finding opens a novel path for the excitation and control of optical multidimensional extreme wave phenomena of hydrodynamic footprint.

Cited by

• Optical Kerr spatiotemporal dark extreme waves
• A generalized long-wave limit method with spectral perturbations
• Rogue-wave and lump patterns associated with the third Painlevé equation
• Modeling of Experimentally Observed Two-Dimensional Precursor Solitons in a Dusty Plasma by the forced Kadomtsev-Petviashvili Equation

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