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Related papers: Switching of Discrete Solitons in Engineered Waveg…

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We suggest an effective method for controlling nonlinear switching in arrays of weakly coupled optical waveguides. We demonstrate the digitized switching of a narrow input beam for up to eleven waveguides in the engineered waveguide arrays.

Optics · Physics 2009-11-10 Rodrigo A. Vicencio , Mario I. Molina , Yuri S. Kivshar

We address the issue of mobility of localized modes in two-dimensional nonlinear Schr\"odinger lattices with saturable nonlinearity. This describes e.g. discrete spatial solitons in a tight-binding approximation of two-dimensional optical…

Pattern Formation and Solitons · Physics 2009-11-11 Rodrigo A. Vicencio , Magnus Johansson

We study all-optical switching based on the dynamical properties of discrete vector solitons in waveguide arrays. We employ the concept of the polarization mode instability and demonstrate simultaneous switching and amplification of a weak…

Pattern Formation and Solitons · Physics 2009-11-10 Rodrigo A. Vicencio , Mario I. Molina , Yuri S. Kivshar

A two-dimensional nonlinear Schrodinger lattice with nonlinear coupling, modelling a square array of weakly coupled linear optical waveguides embedded in a nonlinear Kerr material, is studied. We find that despite a vanishing energy…

Pattern Formation and Solitons · Physics 2008-12-18 Michael Oster , Magnus Johansson

We report on existence and properties of discrete gap solitons in zigzag arrays of alternating waveguides with positive and negative refractive indices. Zigzag quasi-one-dimensional configuration of waveguide array introduces strong…

Pattern Formation and Solitons · Physics 2015-09-16 Alexander A. Dovgiy , Ilya S. Besedin

We consider two-dimensional waveguide arrays with anisotropic coupling coefficients. We show using numerical and variational calculations that four stationary soliton types exist: Site-Centered, Bond-Centered, Hybrid-X and Hybrid-Y. For the…

Pattern Formation and Solitons · Physics 2018-04-16 U. Al Khawaja , P. S. Vinayagam , S. M. Al-Marzoug

We present a design and protocol to add binary numbers using discrete solitons in waveguide arrays. We show that the nonlinear interaction between discrete solitons in waveguide arrays can be exploited to design half and full adders. By…

Optics · Physics 2021-08-04 Alaa Shaheen , Amaria Javed , U. Al Khawaja

Linear discrete diffraction of light within a waveguide array allows control over the longitudinal spatial profile of light. We propose a method of using this control to effectively modulate the nonlinearity in a spontaneous four wave…

Quantum Physics · Physics 2019-12-10 Philip B. Main , Peter J. Mosley , Andrey V. Gorbach

In the present work, we examine "binary" waveguide arrays, where the coupling between adjacent sites alternates between two distinct values $C_1$ and $C_2$ and a saturable nonlinearity is present on each site. Motivated by experimental…

Pattern Formation and Solitons · Physics 2015-05-22 Andrey Kanshu , Christian E. Rüter , Detlef Kip , Jesús Cuevas , Panayotis G. Kevrekidis

We study discrete solitons in zigzag discrete waveguide arrays with different types of linear mixing between nearest-neighbor and next-nearest-neighbor couplings. The waveguide array is constructed from two layers of one-dimensional (1D)…

Pattern Formation and Solitons · Physics 2020-04-14 Jinzhou Hu , Shulan Li , Zhaopin Chen , Jiantao Lu , Bin Liu , Yongyao Li

The effect of nonlinear transmission in coupled optical waveguide arrays is theoretically investigated via numerical simulations on the corresponding model equations. The realistic experimental setup is suggested injecting the beam in a…

Condensed Matter · Physics 2009-11-10 Ramaz Khomeriki

We study the influences to the discrete soliton (DS) by introducing linearly long-range nonlocal interactions, which give rise to the off-diagonal elements of the linearly coupled matrix in the discrete nonlinear schrodinger equation to be…

Optics · Physics 2014-11-24 Zhijie Mai , Shenhe Fu , Jianxiong Wu , Yongyao Li

We reveal the existence of continuous families of guided single-mode solitons in planar waveguides with weakly nonlinear active core and absorbing boundaries. Stable propagation of TE and TM-polarized solitons is accompanied by attenuation…

Optics · Physics 2017-07-20 Bikashkali Midya , Vladimir V. Konotop

We discuss the formation of self-trapped localized states near the edge of a semi-infinite array of nonlinear waveguides. We study a crossover from nonlinear surface states to discrete solitons by analyzing the families of odd and even…

Pattern Formation and Solitons · Physics 2009-11-11 M. I. Molina , R. A. Vicencio , Y. S. Kivshar

We predict analytically and confirm with numerical simulations that inter-mode dispersion in nanowire waveguide arrays can be tailored through periodic waveguide bending, facilitating flexible spatio-temporal reshaping without break-up of…

Optics · Physics 2018-04-13 Alexander S. Solntsev , Andrey A. Sukhorukov

In this article, we investigate the effects of the interplay between quadratic and cubic nonlinearities on the propagation of elastic waves in periodic waveguides. Through this framework, we unveil an array of wave control strategies that…

Pattern Formation and Solitons · Physics 2019-05-31 Weijian Jiao , Stefano Gonella

We present a progress overview focused on the recent theoretical and experimental advances in the area of soliton manipulation in optical lattices. Optical lattices offer the possibility to engineer and to control the diffraction of light…

Optics · Physics 2009-07-07 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

We predict that stable mobile spatio-temporal solitons can exist in arrays of periodically curved optical waveguides. We find two-dimensional light bullets in one-dimensional arrays with harmonic waveguide bending and three-dimensional…

We study the mobility of solitons in second-harmonic-generating lattices. Contrary to what is known for their cubic counterparts, discrete quadratic solitons are mobile not only in the one-dimensional (1D) setting, but also in two…

Pattern Formation and Solitons · Physics 2010-12-10 H. Susanto , P. G. Kevrekidis , R. Carretero-Gonzalez , Boris A. Malomed , D. J. Frantzeskakis

We suggest a novel concept of diffraction management in waveguide arrays and predict the existence of discrete gap solitons that possess the properties of both conventional discrete and Bragg grating solitons. We demonstrate that both the…

Pattern Formation and Solitons · Physics 2009-04-01 Andrey A. Sukhorukov , Yuri S. Kivshar
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