Propagation properties of dark solitons

Zhao, Wei; Bourkoff, E.

doi:10.1364/ol.14.000703

Cited by 139 publications

(34 citation statements)

References 6 publications

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“…We also show that spectral width of the plasmonic absorption resonance that is linked to the plasmon relaxation time in gold does not allow generation of pulses shorter than 11fs using this type of absorbers. We argue that such pulse could enable the generation of short dark solitons which can propagate large distances in dispersive media without broadening [22] with high stability, low loss and low noise compared with bright solitons [16,23]. Dark pulses also can be used in spectroscopy enabling direct measurement of ultra-short excitation dynamics [4].…”

Section: Discussionmentioning

confidence: 99%

11-fs dark pulses generated via coherent absorption in plasmonic metamaterial

Nalla¹,

Valente²,

Sun³

et al. 2017

Opt. Express

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Abstract:We demonstrate generation of the shortest reported 11fs dark pulses using the coherent absorption process on a plasmonic absorber with a gating pulse. The dark pulses appear as a power dip on the envelope of a long carrier pulse and are characterized using the cross-correlation technique. The principal difference and advantage of our approach in comparison with previously developed laser sources of dark pulses is that, in principle, it allows transferring arbitrary pattern of bright pulses into a pattern of dark pulses in another optical signal channel.

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Section: Discussionmentioning

confidence: 99%

11-fs dark pulses generated via coherent absorption in plasmonic metamaterial

Nalla¹,

Valente²,

Sun³

et al. 2017

Opt. Express

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“…However, the non-vanishing boundary of dark solitons introduces serious complications when applying the perturbative methods developed for bright solitons. In early work, the particular case of linear loss was studied both numerically (Zhao & Bourkoff 1989) and analytically (Giannini & Joseph 1990). The analysis was specifically for black solitons and solved explicitly for higher order correction terms.…”

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confidence: 99%

Perturbations of dark solitons

et al. 2011

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A direct perturbation method for approximating dark soliton solutions of the nonlinear Schrödinger (NLS) equation under the influence of perturbations is presented. The problem is broken into an inner region, where the core of the soliton resides, and an outer region, which evolves independently of the soliton. It is shown that a shelf develops around the soliton that propagates with speed determined by the background intensity. Integral relations obtained from the conservation laws of the NLS equation are used to determine the properties of the shelf. The analysis is developed for both constant and slowly evolving backgrounds. A number of problems are investigated, including linear and nonlinear damping type perturbations. Keywords: perturbation theory; solitons; opticsPerturbation theory as applied to solitons that decay at infinity, i.e. so-called bright solitons, has been developed over many years (cf. Karpman & Maslov 1977;Kodama & Ablowitz 1981;Herman 1990). The analytical work employs a diverse set of methods including perturbations of the inverse scattering transform (IST), multi-scale perturbation analysis, perturbations of conserved quantities, etc.; the analysis applies to a wide range of physical problems. In optics, a central equation that describes the envelope of a quasi-monochromatic wave train is the nonlinear Schrödinger (NLS) equation, which in normalized form readswhere D, n are constants. In this paper, we consider the NLS equation in a typical nonlinear optics context, where D corresponds to the group-velocity dispersion (GVD), n > 0 is related to the nonlinear index of refraction, z is the

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“…This is indeed what we numerically observed. For the case ω = 0, using the Inverse Scattering Transform, one can predict that out of an initial profile of the form ψ(x, t = 0) = b tanh(cx), one black soliton and a number N 0 of pairs of grey solitons (with N 0 = n − 1, n being the integer part of the ratio b/c) [15,16], should be generated. By denoting with γ 1 and γ 2 the initial and final values of γ, one can write the initial condition for the equation:…”

Section: Numerical Resultsmentioning

confidence: 99%

Adiabatic compression of soliton matter waves

Abdullaev

Salerno

2003

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

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Abstract. The evolution of atomic solitary waves in Bose-Einstein condensate (BEC) under adiabatic changes of the atomic scattering length is investigated. The variations of amplitude, width, and velocity of soliton are found for both spatial and time adiabatic variations. The possibility to use these variations to compress solitons up to very high local matter densities is shown both in absence and in presence of a parabolic confining potential.

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Propagation properties of dark solitons

Cited by 139 publications

References 6 publications

11-fs dark pulses generated via coherent absorption in plasmonic metamaterial

11-fs dark pulses generated via coherent absorption in plasmonic metamaterial

Perturbations of dark solitons

Adiabatic compression of soliton matter waves

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