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Oscillations of two-dimensional solitons in harmonic and Bessel optical lattices

Yaroslav V. Kartashov1,2, Victor A. Vysloukh3, and Lluis Torner1

  • 1ICFO–Institut de Ciencies Fotoniques, and Department of Signal Theory and Communications, Universitat Politecnica de Catalunya, 08034 Barcelona, Spain
  • 2Department of Physics, M. V. Lomonosov Moscow State University, 119899, Moscow, Russia
  • 3Departamento de Fisica y Matematicas, Universidad de las Americas—Puebla, Santa Catarina Martir, 72820, Puebla, Cholula, Mexico

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Phys. Rev. E 71, 036621 – Published 28 March, 2005

DOI: https://doi.org/10.1103/PhysRevE.71.036621

Abstract

We consider parametric amplification of two-dimensional spatial soliton oscillations in longitudinally modulated harmonic and Bessel lattices in Kerr-type saturable medium. We show that soliton center oscillations along different axes in two-dimensional lattices are coupled, which gives rise to a number of interesting propagation scenarios including periodic damping and excitation of soliton oscillations along perpendicular axes, selective amplification of soliton oscillations along one transverse axis, and enhancement of soliton spiraling.

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Phys. Rev. E 71, 036621– Published 28 March, 2005
  • Received 8 November 2004

© 2005 American Physical Society

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