Coupled photorefractive spatial-soliton pairs

Chen, Zhigang; Segev, Mordechai; Coskun, Tamer H.; Christodoulides, Demetrios N.; Kivshar, Yuri S.

doi:10.1364/josab.14.003066

Cited by 183 publications

(102 citation statements)

References 57 publications

(135 reference statements)

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“…Since long ago, the DB solitons have drawn much interest in nonlinear optics [10][11][12][13][14][15][16], including their realization in pioneering experiments reported in Refs. [17,18]. More recently, the remarkable control available in pristine experimental settings of atomic BECs in ultracold gases, such as 87 Rb and 23 Na, with a multitude of available co-trapped hyperfine states, as well as in heteronuclear mixtures, such as 87 Rb-41 K [9], has opened a new gateway to the realization of DB solitons.…”

Section: Introductionmentioning

confidence: 99%

Vortex-soliton complexes in coupled nonlinear Schrödinger equations with unequal dispersion coefficients

et al. 2016

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We consider a two-component, two-dimensional nonlinear Schrödinger system with unequal dispersion coefficients and self-defocusing nonlinearities, chiefly with equal strengths of the self-and cross-interactions. In this setting, a natural waveform with a nonvanishing background in one component is a vortex, which induces an effective potential well in the second component, via the nonlinear coupling of the two components. We show that the potential well may support not only the fundamental bound state, but also multi-ring excited radial state complexes for suitable ranges of values of the dispersion coefficient of the second component. We systematically explore the existence, stability, and nonlinear dynamics of these states. The complexes involving the excited radial states are weakly unstable, with a growth rate depending on the dispersion of the second component. Their evolution leads to transformation of the multi-ring complexes into stable VB solitons ones with the fundamental state in the second component. The excited states may be stabilized by a harmonic-oscillator trapping potential, as well as by unequal strengths of the self-and cross-repulsive nonlinearities.

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Section: Introductionmentioning

confidence: 99%

Vortex-soliton complexes in coupled nonlinear Schrödinger equations with unequal dispersion coefficients

et al. 2016

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“…In that work, the authors arranged Manakov conditions in real cubic crystals by using TE and TM polarizations in an AlGaAs planar waveguide operating at a wavelength below half its band gap. Despite extensive mathematical studies [18][19][20][21], experiments have been limited to only a small number of systems such as optical waveguides and Bose-Einstein condensates [22][23][24]. There is a need for more studies to quantitatively characterize nonlinear wave propagation described by the Manakov model, besides the soliton evidence and its qualitative application to the design of optical networks [16,25], and a vector extension of the well-known modulation instability (MI) in the anomalous dispersion regime of telecom fibers, leading to high-repetition-rate pulse trains [26].…”

Section: Introductionmentioning

confidence: 99%

Polarization modulation instability in a Manakov fiber system

et al. 2015

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The Manakov model is the simplest multicomponent model of nonlinear wave theory: It describes elementary stable soliton propagation and multisoliton solutions, and it applies to nonlinear optics, hydrodynamics, and Bose-Einstein condensates. It is also of fundamental interest as an asymptotic model in the context of the widely used wavelength-division-multiplexed optical fiber transmission systems. However, although its physical relevance was confirmed by the experimental observation of Manakov (vector) solitons in a planar waveguide in 1996, there have in fact been no quantitative experiments confirming its validity for nonlinear dynamics other than soliton formation. Here, we report experiments in optical fiber that provide evidence of passband and baseband polarization modulation instabilities in a defocusing Manakov system. In the spontaneous regime, we also reveal a unique saturation effect as the pump power increases. We anticipate that such observations may impact the application of this minimal model to describe and understand more complicated phenomena in nature, such as the formation of extreme waves in multicomponent systems.

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“…From a modal perspective, soliton formation requires nonlinear coupling between the modes to cancel the effects of modal dispersion [8][9][10] . Such multicomponent or vector solitons have been studied in several contexts [24][25][26] . There is only one prior report of spatiotemporal vector solitons 14 , where the two components were different colours.…”

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confidence: 99%

Optical solitons in graded-index multimode fibres

2013

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Solitons are non-dispersing localized waves that occur in diverse physical settings, including liquids, optical fibres, plasmas and condensed matter. They attract interest owing to their particle-like nature and are useful for applications such as in telecommunications. A variety of optical solitons have been observed, but versions that involve both spatial and temporal degrees of freedom are rare. Optical fibres designed to support multiple transverse modes offer opportunities to study wave propagation in a setting that is intermediate between single-mode fibre and free-space propagation. Here we report the observation of optical solitons and soliton self-frequency shifting in graded-index multimode fibre. These wave packets can be modelled as multicomponent solitons, or as solitons of the Gross-Pitaevskii equation. Solitons in graded-index fibres should enable increased data rates in low-cost telecommunications systems, are pertinent to space-division multiplexing, and can offer a new route to mode-area scaling for high-power lasers and transmission.

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Coupled photorefractive spatial-soliton pairs

Cited by 183 publications

References 57 publications

Vortex-soliton complexes in coupled nonlinear Schrödinger equations with unequal dispersion coefficients

Vortex-soliton complexes in coupled nonlinear Schrödinger equations with unequal dispersion coefficients

Polarization modulation instability in a Manakov fiber system

Optical solitons in graded-index multimode fibres

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