Two-dimensional dissipative gap solitons

Journal Article · Sat Aug 15 04:00:00 EDT 2009 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)

DOI:https://doi.org/10.1103/PHYSREVE.80.026606· OSTI ID:21344693

Sakaguchi, Hidetsugu ^[1]; Malomed, Boris A ^[2]

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1. Department of Applied Science for Electronics and Materials, Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, Kasuga, Fukuoka 816-8580 (Japan)
2. Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978 (Israel)

We introduce a model which integrates the complex Ginzburg-Landau equation in two dimensions (2Ds) with the linear-cubic-quintic combination of loss and gain terms, self-defocusing nonlinearity, and a periodic potential. In this system, stable 2D dissipative gap solitons (DGSs) are constructed, both fundamental and vortical ones. The soliton families belong to the first finite band gap of the system's linear spectrum. The solutions are obtained in a numerical form and also by means of an analytical approximation, which combines the variational description of the shape of the fundamental and vortical solitons and the balance equation for their total power. The analytical results agree with numerical findings. The model may be implemented as a laser medium in a bulk self-defocusing optical waveguide equipped with a transverse 2D grating, the predicted DGSs representing spatial solitons in this setting.

• OSTI ID: 21344693
• Journal Information: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print), Journal Name: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print) Journal Issue: 2 Vol. 80; ISSN 1539-3755
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
CALCULATION METHODS
DIFFRACTION GRATINGS
EQUATIONS
FOCUSING
GINZBURG-LANDAU THEORY
LASERS
MATHEMATICAL SOLUTIONS
MATHEMATICS
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
PERIODICITY
QUASI PARTICLES
SOLITONS
SPECTRA
TWO-DIMENSIONAL CALCULATIONS
VARIATIONAL METHODS
VARIATIONS
WAVEGUIDES