Dark optical solitons with finite-width background pulses

Tomlinson, W. J.; Hawkins, Raymond J.; Weiner, Andrew M.; Thurston, R. N.

doi:10.1364/josab.6.000329

Cited by 124 publications

(36 citation statements)

References 12 publications

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“…We note that the calculated profile of the light beam at Fig. 4a whereas the dashed line shows the intensity distribution over the profile of the dark soliton I TC = I 1 tan 2 (x/a 1 ) [25], which can be obtained by solving the nonlinear Schro .. dinger equation for Kerr-type defocusing nonlinearity. Upon further propagation, the light beam loses power as a result of absorption and the region of localization experiences diffraction spreading.…”

Section: Discussion Nonlinear Absorption Of Singular Light Beamsmentioning

confidence: 99%

Transformation of singular light beam transverse structure in resonant media

Romanov

Толстик

2008

J Appl Spectrosc

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535.34The peculiarities of transformation of transverse structure for singular light beams propagating in a resonant medium have been analyzed theoretically. The influence of nonlinear absorption, self-focusing, and defocusing on the characteristics of optical vortices with different topological structure has been studied. The formation conditions and parameters for singular spatially localized structures have been characterized. Introduction.A screw dislocation of a light-beam wave front appears as a screw surface with a special point at which the field amplitude is equal to zero and the phase is undefined [1]. A phase shift in multiples of 2π occurs if this singularity is avoided. Light beams with wave-front dislocations (optical vortices) that are observed in optical fields with a complex transverse structure [2] and in laser cavities [3] or are produced as a result of light diffraction on computer synthesized holograms [4] are constantly of interest to researchers because of numerous potential applications.The propagation of singular light beams in nonlinear media is investigated in order to find the stability conditions of their transverse and topological structure [5,6], to study the waveguide properties of transverse localized optical vortices in media with different types of nonlinearity [7-9], to analyze their polarization structure [10], and to develop methods for transforming the topological structure through nonlinear interactions [11,12]. Transformation of the transverse structure of Bessel light beams in various nonlinear materials is widely investigated together with singular beams [13][14][15].Herein features of the transformation of the transverse structure of singular light beams with the combined influence of nonlinear absorption and self-focusing (defocusing) of the radiation in resonant media are analyzed and the conditions for forming localized transverse structures as dark soliton vortices are determined. The model of resonant media that is used is suitable for describing the interaction of radiation with dye solutions and with activated crystals, crystals with color centers, and vapors of complex organic compounds.Theoretical Model of the Propagation of Singular Light Beams in Resonant Media. The propagation of singular light beams in resonant media will be investigated using a truncated wave equation for the complex amplitude of field E of the form [16]:

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Section: Discussion Nonlinear Absorption Of Singular Light Beamsmentioning

confidence: 99%

Transformation of singular light beam transverse structure in resonant media

Romanov

Толстик

2008

J Appl Spectrosc

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“…The interaction between two ideal dark solitons is governed by an effective repulsive force in contrast with the force between two bright solitons, which depends on the relative phase of the solitons (Tomlinson and Hawkings 1989).…”

Section: Introductionmentioning

confidence: 99%

Mechanisms of crossing for an X-junction based on dark spatial solitons

Torres-Cisneros¹,

Aguilera-Cortés²,

Menéses-Nava³

et al. 2004

J. Opt. B: Quantum Semiclass. Opt.

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We present a fundamental study on the capability of a crossing of two optical waveguides based on dark spatial solitons to act as a controllable optical beam splitter. Our study is based on the fact that the guided beam is diffracted at the waveguide crossing by an effective phase screen formed by the soliton collision profile. We find that when the two dark solitons are immersed into the same finite bright background, the energy of a guided beam can be split into the desired optical channel according to the collision angle. We also found that even the corresponding phase diffractive screen possesses a quite different structure in the bright and dark soliton cases; the physics involved is the same.

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“…By utilizing specially shaped, antisymmetric input pulses, this group made the first clear observation of the fundamental dark soliton in single-mode fibers and demonstrated that at appropriate power levels the dark pulses propagate without broadening [10]. They also showed that even with a rapidly evolving background, dark pulses can exhibit stable soliton propagation [11]. They further investigated collisions of dark solitons in optical fibers [12], and, in another experiment, discovered temporal and spectral self-shifts of dark solitons propagating in single-mode fibers [13].…”

mentioning

confidence: 99%

“…We can qualitatively understand these phenomena in the following way. The gray pulse can be considered as a rapid dip in the intensity of a broad bright pulse [11]. During its propagation in the laser fiber, self-phase modulation (SPM) generates new frequency components that are red-shifted near the leading edge and blue-shifted near the trailing edge of the broad bright pulse.…”

mentioning

confidence: 99%

“…When the pump power is increased, the SPM effect increases, which corresponds to a decrease in the width (τ) of the output dark pulse as a function of the pump power. Since for a dark pulse the product of the dark-pulse peak intensity I p and the square of the pulse width τ remain approximately constant (I p τ 2 ≈ constant), then I p must vary inversely with τ [11]. Therefore, enhanced contrast resulted from the decrease of the output gray-pulse width when the pump power was increased.…”

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Flexible operability and amplification of gray pulses

Zhang

Han

et al. 2014

Opt. Lett.

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We have investigated experimentally the flexible production and amplification of gray pulses for the first time to our knowledge. Switchable wavelengths, tunable pulse-widths, and adjustable contrasts have all been obtained in a fiber laser. Amplification of gray pulses was also experimentally investigated in detail. The contrast of the pulses could also be increased in an amplifier. The robust stability that results from the interactions between adjacent harmonic mode locking counterparts of gray pulses was found to last for up to ten hours. To the best of our knowledge, the gray pulses trains we have generated are the most stable achieved to date in an all-fiber laser system. This finding can be used as a guide for the establishment of robust gray pulses as laser sources.

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Dark optical solitons with finite-width background pulses

Cited by 124 publications

References 12 publications

Transformation of singular light beam transverse structure in resonant media

Transformation of singular light beam transverse structure in resonant media

Mechanisms of crossing for an X-junction based on dark spatial solitons

Flexible operability and amplification of gray pulses

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