Generation of a train of fundamental solitons at a high repetition rate in optical fibers

Дианов, Е. М.; Mamyshev, P. V.; Prokhorov, A M; Chernikov, S.V.

doi:10.1364/ol.14.001008

Cited by 164 publications

(58 citation statements)

References 14 publications

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“…(1) Physics Department, Technion, Haifa 32000, Israel (2) Physics Department, Universität Osnabrück, 49069 Osnabrück, Germany (3) Physics Department, Princeton University, Princeton, NJ 08544, USA (4) Department of Electrical Engineering, Princeton University, Princeton, NJ 08544, USA (5) Electrical Engineering and Computer Science Dept., Lehigh University, Bethlehem, PA 18015, USA Modulation Instability (MI) is a universal process that appears in most nonlinear wave systems in nature. Because of MI, small amplitude and phase perturbations (from noise) grow rapidly under the combined effects of nonlinearity and diffraction (or dispersion, in the temporal domain).…”

Section: )mentioning

confidence: 99%

Modulation Instability and Pattern Formation in Spatially Incoherent Light Beams

Kip

Soljačić

Segev

et al. 2000

Science

306

141

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Modulation Instability (MI) is a universal process that appears in most nonlinear wave systems in nature. Because of MI, small amplitude and phase perturbations (from noise) grow rapidly under the combined effects of nonlinearity and diffraction (or dispersion, in the temporal domain). As a result, a broad optical beam (or a quasi-CW pulse) tends to disintegrate during propagation [1,2], leading to filamentation [2] or to break-up into pulse trains [1]. In general, MI typically occurs in the same parameter region where another universal phenomenon, soliton occurrence, is observed. Solitons are stationary localized wave-packets (wave-packets that never broaden) that share many features with real particles. For example, their total energy and momentum is conserved even when they interact with one another [3]. Intuitively, solitons can be understood as a result of the balance between the broadening tendency of diffraction (or dispersion) and nonlinear self-focusing. A soliton forms when the localized wave-packet induces (via the nonlinearity) a potential and "captures" itself in it, thus becoming a bound state in its own induced potential. In the spatial domain of optics, a spatial soliton forms when a very narrow optical beam induces (through self-focusing) a waveguide structure and guides itself in its own induced waveguide. The relation between MI and solitons is best manifested in the fact that the filaments (or the pulse trains) that emerge from the MI process are actually trains of almost ideal solitons. Therefore, MI can be considered to be a precursor to soliton formation. Over the years, MI has been systematically investigated in connection with numerous nonlinear processes. Yet, it was always believed that MI is inherently a coherent process and thus it can only appear in nonlinear systems with a perfect degree of spatial/temporal coherence. Earlier this year however, our group was able to show theoretically [4] that MI can also exist in relation with partially-incoherent wave-packets or beams. This in turn leads to several important new features: for example, incoherent MI appears only if the 'strength' of the nonlinearity exceeds a well-defined threshold that depends on the degree of spatial correlation We show that even in such a nonlinear partially coherent system (of weakly-correlated particles) patterns can form spontaneously. Incoherent MI occurs above a specific threshold that depends on the beams' coherence properties (correlation distance), and leads to a periodic train of one-dimensional (1D) filaments. At a higher value of nonlinearity, incoherent MI displays a two-dimensional (2D) instability and leads to self-ordered arrays of light spots.Before we proceed to describe incoherent MI, we revisit the main ideas that make incoherent solitons happen. Until a few years ago, solitons were considered to be solely coherent entities.However, in 1996 the first experimental observations of solitons made of partially-spatially-incoherent light [6] and in 1997 of temporally and spatially incoherent ("whit...

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Section: )mentioning

confidence: 99%

Modulation Instability and Pattern Formation in Spatially Incoherent Light Beams

Kip

Soljačić

Segev

et al. 2000

Science

306

141

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“…The operation of the tapered fiber is equivalent to providing adiabatic amplification, the action of which is to slowly compress solitons with no energy loss to dispersive waves. In their seminal work, Zabusky and Kruskal 118 had shown that sinusoidal waves would evolve into solitary wave plus a dispersive wave component, while Hasegawa and Kodama 116 had shown that a pulse of any reasonable shape and energy would evolve into a soliton; however, Dianov et al 119 were the first to propose the application of a dispersion decreasing optical fiber to adiabatically convert a sinusoidal optical beat signal from two closely frequency-spaced laser sources into a train of fundamental solitons that exhibited no dispersive wave component and that was experimentally realized by Mamyshev et al 120 The parameters of the dispersion decreasing tapered optical fiber must be carefully chosen to allow input pulse compression at the chosen repetition rate, while the ratio of the input to output dispersions effectively sets the compression ratio obtained. The upper repetition rate is limited by the input peak/average power requirements set by the soliton power at launch.…”

Section: Sources Based Upon Adiabatic Soliton Compressionmentioning

confidence: 99%

Tutorial on fiber-based sources for biophotonic applications

Taylor

2016

J. Biomed. Opt

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Abstract. Fiber-based lasers and master oscillator power fiber amplifier configurations are described. These allow spectral versatility coupled with pulse width and pulse repetition rate selection in compact and efficient packages. This is enhanced through the use of nonlinear optical conversion in fibers and fiber-coupled nonlinear crystals, which can be integrated to provide all-fiber pump sources for diverse application. The advantages and disadvantages of sources based upon supercontinuum generation, stimulated Raman conversion, four-wave mixing, parametric generation and difference frequency generation, allowing spectral coverage from the UV to the mid-infrared, are considered.

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“…When the overlapping pulses further propagate through the amplifier subject to the combined effects of non-linearity, normal dispersion and adiabatic Raman gain, the oscillation reshapes into a train of dark solitons [26]. Such a reshaping effect has been previously exploited in the spatial field with the transformation of a periodic sinusoidal modulation into a spatial array of dark solitons [27].…”

Section: Generation Of High-repetition Rate Trains Of Dark Solitonsmentioning

confidence: 99%

Generation of dark solitons by interaction between similaritons in Raman fiber amplifiers

Finot¹,

Dudley²,

Millot³

2006

Optical Fiber Technology

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: We present a new method to generate dark soliton trains by exploiting the interaction between two time-delayed optical similaritons with the same wavelength. The temporal overlap of two similariton pulses creates a sinusoidal beating which subsequently evolves into an ultrahigh repetition-rate train of dark solitons through the combined effects of normal dispersion, non-linearity and adiabatic Raman gain. The experimental results are in good agreement with numerical predictions. We also investigate how the the repetition rate of the dark soliton train depends on the time separation between the initial pulses, the initial pulse energy, and the Raman gain. Finally, we numerically study the interaction between three similaritons of the same wavelength.

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Generation of a train of fundamental solitons at a high repetition rate in optical fibers

Cited by 164 publications

References 14 publications

Modulation Instability and Pattern Formation in Spatially Incoherent Light Beams

Modulation Instability and Pattern Formation in Spatially Incoherent Light Beams

Tutorial on fiber-based sources for biophotonic applications

Generation of dark solitons by interaction between similaritons in Raman fiber amplifiers

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