Vortices and ring dark solitons in nonlinear amplifying waveguides

Journal Article · Mon Feb 15 00:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.023836· OSTI ID:21413272

Jiefang, Zhang ^[1]; Lei, Wu ^[2]; Lu, Li ^[3]; Mihalache, Dumitru ^[4]; Malomed, Boris A ^[5]

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1. Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua, Zhejiang 321004 (China)
2. Tianmu College, Zhejiang Forestry University, Lin'an 311300 (China)
3. Institute of Theoretical Physics, Shanxi University, Taiyuan, Shanxi 030006 (China)
4. Horia Hulubei National Institute for Physics and Nuclear Engineering, Magurele, Bucharest R-077125 (Romania)
5. Department of Physical Electronics, Faculty of Engineering, Tel Aviv University, Tel Aviv IL-69978 (Israel)

We consider the generation and propagation of (2+1)-dimensional beams in a nonlinear waveguide with the linear gain. Simple self-similar evolution of the beams is achieved at the asymptotic stage if the input beams represent the fundamental mode. On the contrary, if they carry vorticity or amplitude nodes (or phase slips), vortex tori and ring dark solitons (RDSs) are generated, featuring another type of the self-similar evolution, with an exponentially shrinking vortex core or notch of the RDS. Numerical and analytical considerations reveal that these self-similar structures are robust entities in amplifying waveguides, being stable against azimuthal perturbations.

• OSTI ID: 21413272
• Journal Information: Physical Review. A, Vol. 81, Issue 2; Other Information: DOI: 10.1103/PhysRevA.81.023836; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
ASYMPTOTIC SOLUTIONS
BEAMS
EVOLUTION
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
PERTURBATION THEORY
RINGS
SOLITONS
TORI
VORTICES
WAVEGUIDES
MATHEMATICAL SOLUTIONS
QUASI PARTICLES