Two-dimensional discrete Ginzburg-Landau solitons

Journal Article · Mon Oct 15 04:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.043839· OSTI ID:21020834

Efremidis, Nikolaos K ^[1]; Christodoulides, Demetrios N ^[2]; Hizanidis, Kyriakos ^[3]

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1. Department of Applied Mathematics, University of Crete, 71409 Heraklion, Crete (Greece)
2. College of Optics and Photonics, University of Central Florida, Orlando, Florida 32813 (United States)
3. School of Electrical and Computer Engineering, National Technical University of Athens, Athens 15773 (Greece)

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.

• OSTI ID: 21020834
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 76; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFRACTION
DISPERSIONS
EQUATIONS
GINZBURG-LANDAU THEORY
INSTABILITY
NONLINEAR PROBLEMS
SIMULATION
SOLITONS
TWO-DIMENSIONAL CALCULATIONS