Nonautonomous spatiotemporal localized structures in the inhomogeneous optical fibers: Interaction and control

► The similarity transformation of ( n + 1)-dimensional inhomogeneous NLSE are found. ► From transformation, analytical self-similar waves and rogue waves are obtained. ► Dynamical behaviors of self-similar waves in DDF are discussed. ► The propagation and control of spatiotemporal self-similar wave...

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Bibliographic Details
Published in:Annals of physics 2011-03, Vol.326 (3), p.645-656
Main Authors: Dai, Chaoqing, Wang, Xiaogang, Zhang, Jiefang
Format: Article
Language:English
Subjects:
AMPLIFICATION
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COHERENT SCATTERING
DIFFERENTIAL EQUATIONS
DIFFRACTION
DISPERSIONS
Dynamic tests
EQUATIONS
Fiber optics
FIBERS
GAIN
Interaction and control
INTERACTIONS
Nonautonomous spatiotemporal localized structures
Nonlinear dynamics
NONLINEAR PROBLEMS
Nonlinear Schrödinger equation
Nonlinearity
ONE-DIMENSIONAL CALCULATIONS
OPTICAL FIBERS
PARTIAL DIFFERENTIAL EQUATIONS
Quantum physics
SCATTERING
SCHROEDINGER EQUATION
Similarity
TRANSFORMATIONS
TRANSMISSION
WAVE EQUATIONS
Wave propagation
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Summary:► The similarity transformation of ( n + 1)-dimensional inhomogeneous NLSE are found. ► From transformation, analytical self-similar waves and rogue waves are obtained. ► Dynamical behaviors of self-similar waves in DDF are discussed. ► The propagation and control of spatiotemporal self-similar waves are presented. We develop a systematic way to find the similarity transformation and investigate nonautonomous optical similariton dynamics for ( n + 1)-dimensional nonlinear Schrödinger equation in the inhomogeneous optical fibers. A condition between the parameters of the mediums, which hints a exact balance between the dispersion/diffraction, nonlinearity and the gain/loss, has been obtained. Under this condition the optical similariton transmission in the dispersion-decreasing fibers (DDF) can be exactly controlled by proper dispersion management. Moreover, novel propagation dynamics of bright and dark similaritons on the background waves and optical rogue waves (rogons) in DDF are investigated too.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2010.11.005