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Search Results: 1 - 10 of 2578 matches for " Andrey Sukhorukov "
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Enhanced soliton transport in quasi-periodic lattices with short-range aperiodicity
Andrey A. Sukhorukov
Physics , 2005, DOI: 10.1103/PhysRevLett.96.113902
Abstract: We study linear transmission and nonlinear soliton transport through quasi-periodic structures, which profiles are described by multiple modulation frequencies. We show that resonant scattering at mixed-frequency resonances limits transmission efficiency of localized wave packets, leading to radiation and possible trapping of solitons. We obtain an explicit analytical expression for optimal quasi-periodic lattice profiles, where additional aperiodic modulations suppress mixed-frequency resonances, resulting in dramatic enhancement of soliton mobility. Our results can be applied to the design of photonic waveguide structures, and arrays of magnetic micro-traps for atomic Bose-Einstein condensates.
Soliton dynamics in deformable nonlinear lattices
Andrey A. Sukhorukov
Physics , 2005, DOI: 10.1103/PhysRevE.74.026606
Abstract: We describe wave propagation and soliton localization in photonic lattices which are induced in a nonlinear medium by an optical interference pattern, taking into account the inherent lattice deformations at the soliton location. We obtain exact analytical solutions and identify the key factors defining soliton mobility, including the effects of gap merging and lattice imbalance, underlying the differences with discrete and gap solitons in conventional photonic structures.
Approximate solutions and scaling transformations for quadratic solitons
Andrey A. Sukhorukov
Physics , 1999, DOI: 10.1103/PhysRevE.61.4530
Abstract: We study quadratic solitons supported by two- and three-wave parametric interactions in chi-2 nonlinear media. Both planar and two-dimensional cases are considered. We obtain very accurate, 'almost exact', explicit analytical solutions, matching the actual bright soliton profiles, with the help of a specially-developed approach, based on analysis of the scaling properties. Additionally, we use these approximations to describe the linear tails of solitary waves which are related to the properties of the soliton bound states.
Spatial-Spectral Vortex Solitons in Quadratic Lattices
Zhiyong Xu,Andrey A. Sukhorukov
Physics , 2009, DOI: 10.1364/OL.34.001168
Abstract: We predict the existence of spatial-spectral vortex solitons in one-dimensional periodic waveguide arrays with quadratic nonlinear response. In such vortices the energy flow forms a closed loop through the simultaneous effects of phase gradients at the fundamental frequency and second-harmonic fields, and the parametric frequency conversion between the spectral components. The linear stability analysis shows that such modes are stable in a broad parameter region.
Interplay between Coherence and Incoherence in Multi-Soliton Complexes
Andrey A. Sukhorukov,Nail N. Akhmediev
Physics , 1999, DOI: 10.1103/PhysRevLett.83.4736
Abstract: We analyze photo-refractive incoherent soliton beams and their interactions in Kerr-like nonlinear media. The field in each of M incoherently interacting components is calculated using an integrable set of coupled nonlinear Schrodinger equations. In particular, we obtain a general N-soliton solution, describing propagation of multi-soliton complexes and their collisions. The analysis shows that the evolution of such higher-order soliton beams is determined by coherent and incoherent contributions from fundamental solitons. Common features and differences between these internal interactions are revealed and illustrated by numerical examples.
Nonlinear directional coupler for polychromatic light
Ivan L. Garanovich,Andrey A. Sukhorukov
Physics , 2006, DOI: 10.1364/OL.32.000475
Abstract: We demonstrate that nonlinear directional coupler with special bending of waveguide axes can be used for all-optical switching of polychromatic light with very broad spectrum covering all visible region. The bandwidth of suggested device is enhanced five times compared to conventional couplers. Our results suggest novel opportunities for creation of all-optical logical gates and switches for polychromatic light with white-light and super-continuum spectrum.
Multi-gap discrete vector solitons
Andrey A. Sukhorukov,Yuri S. Kivshar
Physics , 2003, DOI: 10.1103/PhysRevLett.91.113902
Abstract: We analyze nonlinear collective effects in periodic systems with multi-gap transmission spectra such as light in waveguide arrays or Bose-Einstein condensates in optical lattices. We demonstrate that the inter-band interactions in nonlinear periodic gratings can be efficiently managed by controlling their geometry, and predict novel types of discrete vector solitons supported by nonlinear coupling between different bandgaps and study their stability.
Nonlinear guided waves and spatial solitons in a periodic layered medium
Andrey A. Sukhorukov,Yuri S. Kivshar
Physics , 2001, DOI: 10.1364/JOSAB.19.000772
Abstract: We overview the properties of nonlinear guided waves and (bright and dark) spatial optical solitons in a periodic medium created by a sequence of linear and nonlinear layers. First, we consider a single layer with a cubic nonlinear response (a nonlinear waveguide) embedded into a periodic layered linear medium, and describe nonlinear localized modes (guided waves and Bragg-like localized gap modes) and their stability. Then, we study modulational instability as well as the existence and stability of discrete spatial solitons in a periodic array of identical nonlinear layers, a one-dimensional nonlinear photonic crystal. Both similarities and differences with the models described by the discrete nonlinear Schrodinger equation (derived in the tight-binding approximation) and coupled-mode theory (valid for the shallow periodic modulations) are emphasized.
Intensity limits for stationary and interacting multi-soliton complexes
Andrey A. Sukhorukov,Nail N. Akhmediev
Physics , 2001, DOI: 10.1016/S0375-9601(02)01322-1
Abstract: We obtain an accurate estimate for the peak intensities of multi-soliton complexes for a Kerr-type nonlinearity in the (1+1) - dimension problem. Using exact analytical solutions of the integrable set of nonlinear Schrodinger equations, we establish a rigorous relationship between the eigenvalues of incoherently-coupled fundamental solitons and the range of admissible intensities. A clear geometrical interpretation of this effect is given.
Soliton X-junctions with controllable transmission
Andrey A. Sukhorukov,Nail N. Akhmediev
Physics , 2002, DOI: 10.1364/OL.28.000908
Abstract: We propose new planar X-junctions and multi-port devices written by spatial solitons, which are composed of two (or more) nonlinearly coupled components in Kerr-type media. Such devices have no radiation losses at a given wavelength. We demonstrate that, for the same relative angle between the channels of the X-junctions, one can vary the transmission coefficients into the output channels by adjusting the polarizations of multi-component solitons. We determine analytically the transmission properties and suggest two types of experimental embodiments of the proposed device.
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