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Spatiotemporal vortex solitons in waveguide arrays

H. LEBLOND1,* , B. A. MALOMED2, D. MIHALACHE3

Affiliation

  1. Laboratoire de Photonique d’Angers, Université d’Angers, 2 Bd Lavoisier, 49000 Angers, France
  2. Department of Physical Electronics, School of Electrical Engineering, Faculty of Electrical Engineering, Tel Aviv University, Tel Aviv 69978, Israel
  3. Horia Hulubei National Institute for Physics and Nuclear Engineering (IFIN-HH), Department of Theoretical Physics, 407 Atomistilor, Magurele-Bucharest 077125, Romania

Abstract

Two-dimensional arrays of optical waveguides, which feature dispersion, nonlinearity and discrete diffraction, support the propagation of spatiotemporal solitonic structures. Several structures with intrinsic vorticity S = 1 and 2 were studied by means of the variational analysis and numerical methods. Some vortices with S = 1 are stable. Numerical studies of interactions between them make it possible to identify four typical outcomes of the collisions, depending on the initial relative velocity of colliding solitons: rebound of slow solitons, fusion, splitting, and quasi-elastic interactions of fast solitons..

Keywords

Spatiotemporal optical solitons, Vortex solitons, Waveguide arrays.

Submitted at: Dec. 15, 2009
Accepted at: Jan. 20, 2010

Citation

H. LEBLOND, B. A. MALOMED, D. MIHALACHE, Spatiotemporal vortex solitons in waveguide arrays, Journal of Optoelectronics and Advanced Materials Vol. 12, Iss. 1, pp. 6-11 (2010)