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We investigate the optical beam behavior in the periodical array of the coupled optical waveguides with the monotonic change of the refractive index in the transverse direction. We consider the dependence of the form of the optical beam on…

Mesoscale and Nanoscale Physics · Physics 2016-01-11 V. S. Babichenko , M. I. Gozman , A. I. Guseynov , T. V. Habarova , A. I. Pavlov , A. Yu. Stavcev , E. A. Tsyvkunova , I. Ya Polishchuk

The system of coupled discrete equations describing a two-component superlattice with interlaced linear and nonlinear constituents is revisited as a basis for investigating binary waveguide arrays, such as ribbed AlGaAs structures, among…

Pattern Formation and Solitons · Physics 2009-11-13 Kyriakos Hizanidis , Yannis Kominis , Nikolaos K. Efremidis

Photonic devices exhibiting all-optically reconfigurable polarization dependence with a large dynamic range would be highly attractive for active polarization control. Here, we report that strongly polarization-selective nonlinear…

Optics · Physics 2019-02-20 Dae Seok Han , Il-Min Lee , Kyung Hyun Park , Myeong Soo Kang

The coupling of atomic arrays and one-dimensional subwavelength waveguides gives rise to in- teresting photon transport properties, such as recent experimental demonstrations of large Bragg reflection and paves the way for a variety of…

Topological insulators possess protected boundary states which are robust against disorders and have immense implications in both fermionic and bosonic systems. Harnessing these topological effects in non-equilibrium scenarios is highly…

We report experimental observations of large Bragg reflection from arrays of cold atoms trapped near a one-dimensional nanoscale waveguide. By using an optical lattice in the evanescent field surrounding a nanofiber with a period nearly…

Quantum Physics · Physics 2016-09-26 N. V. Corzo , B. Gouraud , A. Chandra , A. Goban , A. S. Sheremet , D. V. Kupriyanov , J. Laurat

We propose and investigate a new type of optical waveguide made by an array of atoms without involving conventional Bragg scattering or total internal reflection. A finite chain of atoms collectively coupled through their intrinsic…

Mesoscale and Nanoscale Physics · Physics 2016-08-02 Siu-Tat Chui , Shengwang Du , Gyu-Boong Jo

We examine a one-dimensional nonlinear (Kerr) waveguide array which contains a single "void" waveguide where the nonlinearity is identically zero. We uncover a new family of nonlinear localized modes centered at or near the void, and their…

Pattern Formation and Solitons · Physics 2019-10-24 Cristian Mejía-Cortés , J. C. Cardona , Andrey A. Sukhorukov , Mario. I. Molina

The Bloch oscillations in the zigzag array of the optical waveguides are considered. The multiple scattering formalism (MSF) is used for the numerical simulation of the optical beam which propagates within the array. The effect of the…

Mesoscale and Nanoscale Physics · Physics 2015-01-29 V. S. Babichenko , M. I. Gozman , Yu. M. Kagan , I. Ya. Polishchuk , E. A Tsyvkunova

We predict that the interface of materials with defocusing thermal nonlinearities support stable fundamental and higher-order surface waves when the opposite edges of the medium are maintained at different temperatures. Such surface waves…

Bloch oscillations of spatio-temporal light wave packets in arrays of nonlinear fibers with high-order dispersion are studied. The light wave experiences discrete spatial diffraction along the waveguide array coordinate together with…

Pattern Formation and Solitons · Physics 2017-10-11 A. Yulin , R. Driben , T. Meier

Atoms in a sub-wavelength lattices have remarkable optical properties that have become of high scientific and technological significance. Here, we show how the coupling of light to more than a single atomic array can expand these…

Quantum Physics · Physics 2023-03-31 Simon Panyella Pedersen , Lida Zhang , Thomas Pohl

We develop a nonlinear theory of soliton-induced waveguides that describes a finite-amplitude probe beam guided by a spatial dark soliton in a saturable nonlinear medium. We suggest an effective way to control the interaction of these…

patt-sol · Physics 2009-10-31 Elena A. Ostrovskaya , Yuri S. Kivshar

We show that light tunneling inhibition may take place in suitable dynamically modulated waveguide arrays for light spots whose features are remarkably smaller than the wavelength of light. We found that tunneling between neighboring…

Radiative emission from a semi-infinite unflanged circular cylindrical dielectric waveguide or optical fiber is studied for the case of axisymmetric modes of TM polarization on the basis of an iterative scheme. The first step of the scheme…

Optics · Physics 2013-09-30 B. U. Felderhof

We report the first observation of robust self-trapping of vortex beams propagating in a uniform condensed medium featuring local saturable self-focusing nonlinearity. Optical vortices with topological charge m=1, that remain self-trapped…

The connection between symmetries and conservation laws is a cornerstone of physics. It underlies Bloch's theorem which explains wave phenomena in all linear periodic systems. Here we demonstrate that, in a nonlinear grating with memory,…

We consider the waveguiding by thin patterned slabs embedded in a homogeneous medium. In the longwave limit, the wave spectra of slabs are found to be well described by a single frequency-independent parameter, which we call the "guiding…

Optics · Physics 2007-09-28 Serge Luryi , Arsen V. Subashiev

Guided wave modes in a symmetric slab waveguide formed by an isotropic dielectric layer with cubic nonlinear response placed in the hyperbolic surrounding medium are investigated theoretically. Optical axis of the hyperbolic medium is…

Optics · Physics 2017-03-01 Ekaterina I. Lyashko , Andrei I. Maimistov

We consider a time-harmonic wave problem, appearing for example in water-waves and in acoustics, in a setting such that the analysis reduces to the study of a 2D waveguide problem with a Neumann boundary condition. The geometry is symmetric…

Analysis of PDEs · Mathematics 2018-05-31 Lucas Chesnel , Sergei A. Nazarov , Vincent Pagneux