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Search Results: 1 - 10 of 328210 matches for " Yuri S. Kivshar "
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Two-color surface lattice solitons
Zhiyong Xu,Yuri S. Kivshar
Physics , 2008, DOI: 10.1364/OL.33.002551
Abstract: We study the properties of surface solitons generated at the edge of a semi-infinite photonic lattice in nonlinear quadratic media, namely two-color surface lattice solitons. We analyze the impact of phase mismatch on existence and stability of surface modes, and find novel classes of two-color twisted surface solitons which are stable in a large domain of their existence.
Discreteness-Induced Oscillatory Instabilities of Dark Solitons
Magnus Johansson,Yuri S. Kivshar
Physics , 1998, DOI: 10.1103/PhysRevLett.82.85
Abstract: We reveal that even weak inherent discreteness of a nonlinear model can lead to instabilities of the localized modes it supports. We present the first example of an oscillatory instability of dark solitons, and analyse how it may occur for dark solitons of the discrete nonlinear Schrodinger and generalized Ablowitz-Ladik equations.
Second-harmonic generation in subwavelength graphene waveguides
Daria Smirnova,Yuri S. Kivshar
Physics , 2014, DOI: 10.1103/PhysRevB.90.165433
Abstract: We suggest a novel approach for generating second-harmonic radiation in subwavelength graphene waveguides. We demonstrate that quadratic phase matching between the plasmonic guided modes of different symmetries can be achieved in a planar double-layer geometry when conductivity of one of the layers becomes spatially modulated. We predict theoretically that, owing to graphene nonlocal conductivity, the second-order nonlinear processes can be actualized for interacting plasmonic modes with an effective grating coupler to allow external pumping of the structure and output of the radiation at the double frequency.
Origin of Multikinks in Dispersive Nonlinear Systems
Alan Champneys,Yuri S. Kivshar
Physics , 1999, DOI: 10.1103/PhysRevE.61.2551
Abstract: We develop {\em the first analytical theory of multikinks} for strongly {\em dispersive nonlinear systems}, considering the examples of the weakly discrete sine-Gordon model and the generalized Frenkel-Kontorova model with a piecewise parabolic potential. We reveal that there are no $2\pi$-kinks for this model, but there exist {\em discrete sets} of $2\pi N$-kinks for all N>1. We also show their bifurcation structure in driven damped systems.
Rotating optical soliton clusters
Anton S. Desyatnikov,Yuri S. Kivshar
Physics , 2001, DOI: 10.1103/PhysRevLett.88.053901
Abstract: We introduce the concept of soliton clusters -- multi-soliton bound states in a homogeneous bulk optical medium, and reveal a key physical mechanism for their stabilization associated with a staircase-like phase distribution that induces a net angular momentum and leads to cluster rotation. The ringlike soliton clusters provide a nontrivial generalization of the concepts of two-soliton spiraling, optical vortex solitons, and necklace-type optical beams.
Broadband light coupling to dielectric slot waveguides with tapered plasmonic nanoantennas
Ivan S. Maksymov,Yuri S. Kivshar
Physics , 2013, DOI: 10.1364/OL.38.004853
Abstract: We propose and theoretically verify an efficient mechanism of broadband coupling between incident light and on-chip dielectric slot waveguide by employing a tapered plasmonic nanoantenna. Nanoantenna receives free space radiation and couples it to a dielectric slot waveguide with the efficiency of up to 20% in a broad spectral range, having a small footprint as compared with the currently used narrowband dielectric grating couplers. We argue that the frequency selective properties of such nanoantennas also allow for using them as ultrasmall on-chip multiplexer/demultiplexer devices.
Spatial solitons in nonlinear left-handed metamaterials
Ilya V. Shadrivov,Yuri S. Kivshar
Physics , 2004, DOI: 10.1088/1464-4258/7/2/009
Abstract: We predict that nonlinear left-handed metamaterials can support both TE- and TM-polarized self-trapped localized beams, spatial electromagnetic solitons. Such solitons appear as single- and multi-hump beams, being either symmetric or antisymmetric, and they can exist due to the hysteresis-type magnetic nonlinearity and the effective domains of negative magnetic permeability.
Discrete Nonlinear Breathing Modes in Carbon Nanotubes
Alexander V. Savin,Yuri S. Kivshar
Physics , 2007,
Abstract: We study large-amplitude oscillations of carbon nanotubes with chiralities $(m,0)$ and $(m,m)$ and predict the existence of localized nonlinear modes in the form of {\em discrete breathers}. In nanotubes with the index $(m,0)$ {\em three types} of localized modes can exist, namely longitudinal, radial, and twisting breathers; however only the twisting breathers, or {\em twistons}, are nonradiating nonlinear modes which exist in the frequency gaps of the linear spectrum. Geometry of carbon nanotubes with the index $(m,m)$ allows only the existence of broad radial breathers in a narrow spectral range.
Nonlinear localized modes at phase-slip defects in waveguide arrays
Mario I. Molina,Yuri S. Kivshar
Physics , 2007, DOI: 10.1364/OL.33.000917
Abstract: We study light localization at a phase-slip defect created by two semi-infinite mismatched identical arrays of coupled optical waveguides. We demonstrate that the nonlinear defect modes possess the specific properties of both nonlinear surface modes and discrete solitons. We analyze stability of the localized modes and their generation in both linear and nonlinear regimes.
Mach-Zehnder-Fano interferometer
Andrey E. Miroshnichenko,Yuri S. Kivshar
Physics , 2009, DOI: 10.1063/1.3232224
Abstract: We introduce a concept of the Mach-Zehnder-Fano interferometer by inserting a cavity exhibiting Fano resonance into a conventional interferometer. By employing the scattering-matrix approach, we demonstrate that the transmission is sensitive to a position of the cavity such that an asymmetric structure exhibits a series of narrow resonances with almost perfect reflection. We discuss how to implement this novel geometry in two-dimensional photonic crystals and use direct numerical simulations to demonstrate novel regimes of the resonant transmission and reflection.
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