Optical Kerr Spatiotemporal Dark-Lump Dynamics of Hydrodynamic Origin

Fabio Baronio, Stefan Wabnitz, and Yuji Kodama
Phys. Rev. Lett. 116, 173901 – Published 27 April 2016

Abstract

There is considerable fundamental and applicative interest in obtaining nondiffractive and nondispersive 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 Schrödinger 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.

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  • Received 26 February 2016

DOI:https://doi.org/10.1103/PhysRevLett.116.173901

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Fabio Baronio1,*, Stefan Wabnitz1, and Yuji Kodama2,†

  • 1INO CNR and Dipartimento di Ingegneria dell’Informazione, Università di Brescia, Via Branze 38, 25123 Brescia, Italy
  • 2Department of Mathematics, Ohio State University, Columbus, Ohio 43210, USA

  • *fabio.baronio@unibs.it
  • kodama@math.ohio-state.edu

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Issue

Vol. 116, Iss. 17 — 29 April 2016

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