Three-dimensional spatiotemporal optical solitons in nonlocal nonlinear media

Mihalache, Dumitru; Mazilu, Dumitru; Lederer, F.; Malomed, Boris A.; Kartashov, Yaroslav V.; Crasovan, L.-C.; Torner, Lluís

doi:10.1103/physreve.73.025601

Cited by 93 publications

(47 citation statements)

References 41 publications

(38 reference statements)

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“…Clearly, a sufficiently strong lattice can alter the sign of the slope, see e.g. [36] for the subcritical case and [56,57] for the supercritical case. The situation is very different in the critical case (d = 2/σ).…”

Section: B Stability Conditions In Inhomogeneous Mediamentioning

confidence: 99%

Qualitative and quantitative analysis of stability and instability dynamics of positive lattice solitons

Sivan

Fibich²,

Ilan³

et al. 2008

Phys. Rev. E

103

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We present a unified approach for qualitative and quantitative analysis of stability and instability dynamics of positive bright solitons in multi-dimensional focusing nonlinear media with a potential (lattice), which can be periodic, periodic with defects, quasiperiodic, single waveguide, etc. We show that when the soliton is unstable, the type of instability dynamic that develops depends on which of two stability conditions is violated. Specifically, violation of the slope condition leads to a focusing instability, whereas violation of the spectral condition leads to a drift instability. We also present a quantitative approach that allows to predict the stability and instability strength.

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Section: B Stability Conditions In Inhomogeneous Mediamentioning

confidence: 99%

Qualitative and quantitative analysis of stability and instability dynamics of positive lattice solitons

Sivan

Fibich²,

Ilan³

et al. 2008

Phys. Rev. E

103

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“…Numerous approaches for obtaining spatiotemporal solitons (light bullets) have been considered theoretically, e.g. by using saturation nonlinearity (Edmundson and Enns 1992;Akhmediev and Soto-Crespo 1993), nonlocal nonlinearity Mihalache et al (2006b), tandem structures that are composed of linear and nonlinear materials (Torner et al 2001), and through manipulating the diffraction and/or dispersion by periodic structures (Aceves et al 1994;Laedke et al 1994;Xu et al 2004;Sukhorukov and Kivshar 2006b). In this paper we propose an approach for propagation and stability of spatiotemporal solitons periodically modulated in planar waveguide and with cubic-quintic nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

Spatiotemporal optical solitons in planar waveguide with periodically modulated cubic-quintic nonlinearity

et al. 2010

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The propagation and stability of spatiotemporal optical solitons (or optical bullets) in a planar waveguide with periodically modulated cubic-quintic nonlinearity is studied numerically as a function of the amplitudes of modulation (A m ), the frequency of modulation (ω m ) and the propagation distance z. The optical spatiotemporal solitons are the result of the balance between the nonlinear parameters, of dispersion (dispersion length, L D ) and diffraction (diffraction length, L d ) with temporal and spatial auto-focusing behavior respectively. With the objective of ensure the stability and preventing the collapse or the spreading of pulses, in this study we explore the cubic-quintic nonlinearity with the optical fields coupled by XPM and take into account several values for the non linear parameter α and for amplitudes (A m ) and frequency (ω m ) of modulation as a function of the propagation distance z and we cause the collisions of two pulses (envelope of the optical field) to ensure that the optical pulse are solitons. After numerical analysis of parameter settings selected four conditions and for all we get stable solitons and this paper shown that, for a fixed amplitude and frequency of modulation we have stable spatiotemporal solitons.

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“…Nonlocality can suppress modulation instability [7,8], and it can support not only fundamental and vortex solitons [9,10], but also multi-soliton bound states and otherwise unstable structures, such as dipole [11] or multipole SWs [12][13][14]. Experimental observations of such solitary waves in nematic liquid crystal [1,2], lead glasses [3] further stimulated theoretical studies on nonlocal solitary waves [15,16].…”

Section: Introductionmentioning

confidence: 99%

Bessel solitary waves in strongly nonlocal nonlinear media with distributed parameters

Jiang

Cai

et al. 2010

Optics Communications

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Three-dimensional spatiotemporal optical solitons in nonlocal nonlinear media

Cited by 93 publications

References 41 publications

Qualitative and quantitative analysis of stability and instability dynamics of positive lattice solitons

Qualitative and quantitative analysis of stability and instability dynamics of positive lattice solitons

Spatiotemporal optical solitons in planar waveguide with periodically modulated cubic-quintic nonlinearity

Bessel solitary waves in strongly nonlocal nonlinear media with distributed parameters

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