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Search Results: 1 - 10 of 3463 matches for " Yuri Kivshar "
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Experimental studies of the internal Goos-Hanchen shift for self-collimated beams in two-dimensional microwave photonic crystals
Aaron Matthews,Yuri Kivshar
Physics , 2008, DOI: 10.1063/1.2980033
Abstract: We study experimentally the Goos-Hanchen effect observed at the reflection of a self-collimated beam from the surface of a two-dimensional photonic crystal and describe a method for controlling the beam reflection through surface engineering. The microwave photonic crystal, fabricated from alumina rods, allows control of the output position of a reflected beam undergoing an internal Goos-Hanchen shift by changing the rod diameter at the reflection surface. The experimental data is in good agreement with the results of the finite-difference time-domain numerical calculations.
Optical Gap Solitons in Nonresonant Quadratic Media
Takeshi Iizuka,Yuri Kivshar
Physics , 1998, DOI: 10.1103/PhysRevE.59.7148
Abstract: We demonstrate an important role of the process of optical rectification in the theory of nonlinear wave propagation in quadratically nonlinear [or $\chi^{(2)}$ ] periodic optical media. We derive a novel physical model for gap solitons in $\chi^{(2)}$ nonlinear Bragg gratings.
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.
Stable Vortex Solitons in Nonlocal Self-Focusing Nonlinear Media
Alexander Yakimenko,Yuri Zaliznyak,Yuri Kivshar
Physics , 2004, DOI: 10.1103/PhysRevE.71.065603
Abstract: We reveal that spatially localized vortex solitons become stable in self-focusing nonlinear media when the vortex symmetry-breaking azimuthal instability is eliminated by a nonlocal nonlinear response. We study the main properties of different types of vortex beams and discuss the physical mechanism of the vortex stabilization in spatially nonlocal nonlinear media.
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.
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