Optical Kerr spatiotemporal dark extreme waves
Abstract
We study the existence and propagation of multidimensional dark non-diffractive and non-dispersive spatiotemporal optical wave-packets in nonlinear Kerr media. We report analytically and confirm numerically the properties of spatiotemporal dark lines, X solitary waves and lump solutions of the (2 + 1)D nonlinear Schrodinger equation (NLSE). Dark lines, X waves and lumps represent holes of light on a continuous wave background. These solitary waves are derived by exploiting the connection between the (2 + 1)D NLSE and a well-known equation of hydrodynamics, namely the (2+1)D Kadomtsev-Petviashvili (KP) equation. This finding opens a novel path for the excitation and control of spatiotemporal optical solitary and rogue waves, of hydrodynamic nature.
Cite
@article{arxiv.1802.09929,
title = {Optical Kerr spatiotemporal dark extreme waves},
author = {Stefan Wabnitz and Yuji Kodama and Fabio Baronio},
journal= {arXiv preprint arXiv:1802.09929},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1608.08771, arXiv:1602.08464