Optical Kerr Spatiotemporal Dark-Lump Dynamics of Hydrodynamic Origin

Year: 2016

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

Autors Affiliation: INO CNR and Dipartimento di Ingegneria dell´Informazione, Universita di Brescia, Via Branze 38, Brescia, 25123, Italy; Department of Mathematics, Ohio State University, Columbus, OH, 43210, United States

Abstract: There is considerable fundamental and applicative interest in obtaining nondiffractive and non-dispersive spatiotemporal localized wave packets propagating in optical cubic nonlinear or Kerr media. Here, we analytically predict the existence of a novel family of spatiotemporal dark lump solitary wave solutions of the (2 + 1)D nonlinear Schrodinger equation. Dark lumps represent multidimensional 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 spatiotemporal waveforms of hydrodynamic footprint and multidimensional optical extreme wave phenomena.


Volume: 116 (17)      Pages from: 173901-1  to: 173901-5

More Information: The present research was supported by the Italian Ministry of University and Research (MIUR, Project No. 2012BFNWZ2). The research of Y. K. is partially supported by NSF Grant No. DMS-1410267.
KeyWords: Fluid dynamics; Hydrodynamics; Nonlinear equations; Solitons, Continuous Wave; Dinger equation; Interaction properties; Localized wave packets; Non-diffractive; Shallow waters; Soli-tary wave solutions; Soliton solutions, Nonlinear optics
DOI: 10.1103/PhysRevLett.116.173901

Citations: 87
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