Optical waveform monitoring based on a free-running mode-locked femtosecond fibre laser and four-wave mixing in a highly nonlinear fibre

Liu, Y.; Zhang, J. G.; Tang, Dingkang

doi:10.1515/oere-2016-0010

Cited by 3 publications

(1 citation statement)

References 23 publications

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“…(2) the generation of chirped femtosecond solitons and double-kink solitons in BECs with time-dependent atomic scattering length in a time-varying complex potential. Due to their wide applications in many different areas of physics and engineering such as ultrahigh-bit-rate optical communication systems, ultrafast physical processes, infrared time-resolved spectroscopy, as well as optical sampling systems, ultrashort (femtosecond) pulses have been extensively studied over the past several years [18][19][20][21]. It has been established that physical systems whose dynamics can be described by the NLS equation with higher-order terms such as third-order dispersion, self-steepening, and self-frequency shift may support the propagation of ultrashort pulses [22,23].…”

Section: Introductionmentioning

confidence: 99%

Compensation process and generation of chirped femtosecond solitons and double-kink solitons in Bose–Einstein condensates with time-dependent atomic scattering length in a time-varying complex potential

Kengne

Lakhssassi

2021

Nonlinear Dyn

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We consider the one-dimensional (1D) cubic-quintic Gross-Pitaevskii (GP) equation, which governs the dynamics of Bose-Einstein condensate (BEC) matter waves with time-varying scattering length and loss/gain of atoms in a harmonic trapping potential. We derive the integrability conditions and the compensation condition for the 1D GP equation and obtain, with the help of a cubic-quintic nonlinear Schrödinger (NLS) equation with self-steepening and self-frequency shift, exact analytical solitonlike solutions with the corresponding frequency chirp which describe the dynamics of femtosecond solitons and double-kink solitons propagating on a vanishing background. Our investigation shows that under the compensation condition, the matter wave solitons maintain a constant amplitude, the amplitude of the frequency chirp depends on the scattering length, while the motion of both the matter wave solitons and the corresponding chirp depend on the external trapping potential. More interesting, the frequency chirps are localized and their feature depends on the sign of the self-steepening parameter. Our study also shows that our exact solutions can be used to describe the compression of matter wave solitons when the absolute value of the s-wave scattering length increases with time.

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Section: Introductionmentioning

confidence: 99%

Compensation process and generation of chirped femtosecond solitons and double-kink solitons in Bose–Einstein condensates with time-dependent atomic scattering length in a time-varying complex potential

Kengne

Lakhssassi

2021

Nonlinear Dyn

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Dynamics of One-Dimensional Condensates with Time Modulation of the Scattering Length and Trapping Potential

Kengne

Liu

2022

Nonlinear Waves

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Widely stretchable soliton crystals in a passively mode-locked fiber laser

Andrianov

Kim

2021

Opt. Express

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We present the first direct demonstration of a new type of stable and extremely elastic soliton crystals, the bond length and bond strength of which can be individually controlled in a wide range. The stretching and compressing can be repeated many times, conserving the overall structure by incorporating a highly asymmetric tunable Mach-Zehnder interferometer into a specially designed passively mode-locked fiber laser. The temporal structure and dynamics of the generated soliton crystals were measured using an asynchronous optical sampling system with picosecond resolution. We demonstrated that a stable and robust soliton crystal can be formed by two types of primitive structures: single dissipative solitons and (or) pairs each consisting of a dissipative soliton and a pulse with a lower amplitude. Continuous stretching and compression of the soliton crystal by an extraordinarily high factor of more than 30 has been demonstrated, the smallest recorded separation between the pulses being as low as 5 ps, corresponding to an effective repetition frequency of 200 GHz. Collective pulse dynamics, including soliton crystal cracking and transformation of crystals comprising high/low-amplitude pulse pairs to the crystals of similar pulses, has been observed experimentally.

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Optical waveform monitoring based on a free-running mode-locked femtosecond fibre laser and four-wave mixing in a highly nonlinear fibre

Abstract: Optical sampling based on ultrafast optical nonlinearities is a useful

Cited by 3 publications

References 23 publications

Compensation process and generation of chirped femtosecond solitons and double-kink solitons in Bose–Einstein condensates with time-dependent atomic scattering length in a time-varying complex potential

Compensation process and generation of chirped femtosecond solitons and double-kink solitons in Bose–Einstein condensates with time-dependent atomic scattering length in a time-varying complex potential

Dynamics of One-Dimensional Condensates with Time Modulation of the Scattering Length and Trapping Potential

Widely stretchable soliton crystals in a passively mode-locked fiber laser

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