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Phys. Rev. A 76, 043839 (2007) [6 pages]

Two-dimensional discrete Ginzburg-Landau solitons

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Nikolaos K. Efremidis1, Demetrios N. Christodoulides2, and Kyriakos Hizanidis3
1Department of Applied Mathematics, University of Crete, 71409 Heraklion, Crete, Greece
2College of Optics and Photonics, University of Central Florida, Orlando, Florida 32813, USA
3School of Electrical and Computer Engineering, National Technical University of Athens, Athens 15773, Greece

Received 31 August 2007; published 25 October 2007

We study the two-dimensional discrete Ginzburg-Landau equation. In the linear limit, the dispersion and gain curves as well as the diffraction pattern are determined analytically. In the nonlinear case, families of two-dimensional discrete solitons are found numerically as well as approximately in the high-confinement limit. The instability dynamics are analyzed by direct simulations.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.76.043839
DOI:
10.1103/PhysRevA.76.043839
PACS:
42.65.Tg, 42.65.Jx
 
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