Planar light bullets under conditions of second-harmonic generation

Sergey V. Sazonov, Mikhail S. Mamaikin, Maria V. Komissarova, and Irina G. Zakharova
Phys. Rev. E 96, 022208 – Published 16 August 2017

Abstract

We study solutions to second-harmonic-generation equations in two-dimensional media with anomalous dispersion. The analytical solution is obtained in an approximate form of the planar spatiotemporal two-component soliton by means of the averaged Lagrangian method. It is shown that a decrease in the amplitudes of both soliton components and an increase in the value of the transverse coordinate are accompanied by an increase in their temporal duration. Within this variational approach, we have managed to find a stability criterion for the light bullet and a period of oscillations of soliton parameters. Then, we use the obtained form as an initial configuration to carry out the direct numerical simulation of soliton dynamics. We demonstrate stable propagation of spatiotemporal solitons undergoing small oscillations predicted analytically for a long distance. The formation of a two-component light bullet is shown when we launch a pulse only at the fundamental frequency. In addition, we investigate the phase and group-velocity mismatch effects on the propagation of pulses.

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  • Received 3 February 2017
  • Revised 25 June 2017

DOI:https://doi.org/10.1103/PhysRevE.96.022208

©2017 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear DynamicsAtomic, Molecular & Optical

Authors & Affiliations

Sergey V. Sazonov*

  • National Research Centre “Kurchatov Institute”, 1 Akademika Kurchatova Square, Moscow 123182, Russia

Mikhail S. Mamaikin, Maria V. Komissarova, and Irina G. Zakharova

  • Department of Photonics and Microwave Physics, Lomonosov Moscow State University, 1 Leninskie Gory Street, Moscow 119991, Russia

  • *sazonov.sergey@gmail.com

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Issue

Vol. 96, Iss. 2 — August 2017

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