Optical Kerr spatiotemporal dark extreme waves

Year: 2018

Authors: Wabnitz S., Kodama Y., Baronio F.

Autors Affiliation: Univ Brescia, Dipartimento Ingn Informaz, Via Branze 38, I-25123 Brescia, Italy; CNR, INO, Via Branze 45, I-25123 Brescia, Italy; Ohio State Univ, Dept Math, 231 W 18th Ave, Columbus, OH 43210 USA

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.

Conference title: Conference on Real-Time Measurements, Rogue Phenomena, and Single-Shot Applications III

More Information: We acknowledge the financial support of the European Research Council (ERC) under the Horizon 2020 research and innovation programme (grant agreement No. 740355). – The Society of Photo-Optical Instrumentation Engineers (SPIE)
KeyWords: Acoustic waves; Control nonlinearities; Hydrodynamics; Nonlinear equations; Optical Kerr effect; Schrodinger equation; Solitons; Time measurement, Continuous Wave; Extreme waves; Kadomtsev-Petviashvili equation; Non-diffractive; Nonlinear kerr media; Optical waves; Rogue waves; Self-action effects, Nonlinear optics