Observation of Discrete Quadratic Solitons

Iwanow, Robert; Schiek, Roland; Stegeman, George I.; Pertsch, Thomas; Lederer, F.; Min, Yoo Hong; Sohler, W.

doi:10.1103/physrevlett.93.113902

Cited by 157 publications

(123 citation statements)

References 16 publications

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“…It is worth to underline here that the discrete systems require less optical power for solitons generation than comparable bulk homogenous media. Discrete diffraction and solitons were observed experimentally in different materials [8][9][10][11], and recently also in nematic liquid crystals [12]. The most of the theoretical and experimental works were concentrated on the one-dimensional systems but two-dimensional systems were also analyzed in photorefractive crystals [10], in optical fibers with multiple cores [13], in all-optically written arrays in silica [9] and in arrays of the optical fibers with partially removed cladding [14].…”

Section: Introductionmentioning

confidence: 99%

Linear and nonlinear properties of photonic crystal fibers filled with nematic liquid crystals

Brzdakiewicz

Laudyn

Karpierz

et al. 2006

Opto-Electronics Review

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We investigate linear and nonlinear light propagation in the photonic crystal fibers infiltrated with nematic liquid crystals. Such a photonic structure, with periodic modulation of refractive index, which could be additionally controlled by the temperature and by the optical power, allows for the study of discrete optical phenomena. Our theoretical investigations, carried out with the near infrared wavelength of 830 nm, for both focusing and defocusing Kerr-type nonlinearity, show the possibility of the transverse light localization, which can result in the discrete soliton generation. In addition, we present the preliminary experimental results on the linear light propagation in the photonic crystal fiber with the glycerin-water solution and 6CHBT nematics, as the guest materials.

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Section: Introductionmentioning

confidence: 99%

Linear and nonlinear properties of photonic crystal fibers filled with nematic liquid crystals

Brzdakiewicz

Laudyn

Karpierz

et al. 2006

Opto-Electronics Review

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“…Optical parametric solitons in the system of coupled waveguides, playing the role of a periodic potential for photons, were recently observed experimentally [14]. Atomic-molecular solitons in a deep optical lattice have been theoretically considered in the mean-field approximation [15], which is mathematically equivalent to the system studied in [14].…”

Section: Introductionmentioning

confidence: 99%

Quantum lattice solitons in ultracold bosons near the Feshbach resonance

Krutitsky¹,

Skryabin²

2006

J. Phys. B: At. Mol. Opt. Phys.

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Abstract. Quantum lattice solitons in a system of two ultracold bosons near Feshbach resonance are investigated. It is shown that their binding energy, effective mass, and spatial width, can be manipulated varying the detuning from the Feshbach resonance. In the case of attractive atomic interactions, the molecule creation stabilizes the solitons. In the case of repulsive interactions, the molecule creation leads to the possibility of existence of bright solitons in some interval of detunings. Due to quantum fluctuations the distance between the atoms is a random quantity with the standard deviation larger than the mean value.

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“…More recently, a number of variants of this theme of optical waveguide arrays have been studied in detail, notable examples being multi-component models involving multiple polarizations [20,21], waveguides featuring quadratic (socalled χ 2 ) nonlinearities [22,23], the examination of dark-solitonic states [24,25] and the study of binary waveguide arrays [26][27][28]. Here, we focus more specifically on the theme of binary waveguide arrays and their alternating coupling structure.…”

Section: Introductionmentioning

confidence: 99%

Existence, stability and dynamics of discrete solitary waves in a binary waveguide array

Shen¹,

Kevrekidis²,

Srinivasan³

et al. 2016

J. Phys. A: Math. Theor.

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Recent work has explored binary waveguide arrays in the long-wavelength, near-continuum limit, here we examine the opposite limit, namely the vicinity of the so-called anti-continuum limit. We provide a systematic discussion of states involving one, two and three excited waveguides, and provide comparisons that illustrate how the stability of these states differ from the monoatomic limit of a single type of waveguide. We do so by developing a general theory which systematically tracks down the key eigenvalues of the linearized system. When we find the states to be unstable, we explore their dynamical evolution through direct numerical simulations. The latter typically illustrate, for the parameter values considered herein, the persistence of localized dynamics and the emergence for the duration of our simulations of robust quasi-periodic states for two excited sites. As the number of excited nodes increase, the unstable dynamics feature less regular oscillations of the solution's amplitude.

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Observation of Discrete Quadratic Solitons

Cited by 157 publications

References 16 publications

Linear and nonlinear properties of photonic crystal fibers filled with nematic liquid crystals

Linear and nonlinear properties of photonic crystal fibers filled with nematic liquid crystals

Quantum lattice solitons in ultracold bosons near the Feshbach resonance

Existence, stability and dynamics of discrete solitary waves in a binary waveguide array

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