Highly chirped dissipative solitons as a one-parameter family of stable solutions of the cubic–quintic Ginzburg–Landau equation

Kharenko, D. S.; Штырина, О. В.; Yarutkina, I. A.; Podivilov, E. V.; Федорук, М. П.; Babin, Sergey A.

doi:10.1364/josab.28.002314

Cited by 39 publications

(31 citation statements)

References 29 publications

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“…We have studied the HCDS regime earlier [14], showing an essential result used in the current publication, namely that the numerical simulations and analytical solution in the high chirp limit ( f 1) agree well at f > 10. The HCDS regime was experimentally demonstrated for the first time in Ytterbium [15] and Erbium fiber oscillators [16].…”

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confidence: 79%

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All-fiber highly chirped dissipative soliton generation in the telecom range

et al. 2017

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A high-energy (0.93 nJ) all-fiber Erbium femtosecond oscillator operating in the telecom spectral range is proposed and realized. The laser cavity built of commercially available fibers and components combines non-PM and PM parts providing stable generation of highly-chirped (chirp parameter 40) pulses compressed in an output piece of standard PM fiber to 165 fs. The results of numerical simulation agree well with experiment. The analyzed intracavity pulse dynamics enables the classification of the generated pulses as dissipative solitons. © http://dx.doi.org/10.1364/ao.XX.XXXXXX Recent progress in the development of high-power femtosecond fiber lasers operating around 1 µm, based on the highlychirped dissipative solitons (HCDS) generated in all-normal dispersion (ANDi) laser cavities [1][2][3] paved the way for the transfer and expansion of this technology into other spectral regions. The first natural candidate would be the telecom window (∼1.5 micron), where high power mode-locked fiber lasers have a wide range of practical applications, from CARS spectroscopy [4] to few-cycle pulse synthesis [5], terahertz-wave generation [6], frequency metrology [7,8] and, of course, telecommunications [9]. The advantage of this spectral interval is the availability of various low cost telecom components that might make such lasers commercially attractive.For the most of practical applications, long-term stability and reliability as well as output power, pulse duration and output beam quality are five important laser characteristics. From this point of view, all-fiber lasers have advantages due to their compactness, relative simplicity of the schemes, high efficiency and perfect beam quality. There is though one quite important weakness -a polarization state that is undefined in standard single-mode fibers (SMFs) leading to uncontrollable variation with the changing environment, especially in a long enough fiber cavity. Polarization maintaining (PM) fibers are widely used to mitigate this problem. As a result, 150 fs, 25 pJ pulses were demonstrated recently in an all-fiber all-PM Erbium laser with graphene saturable absorber (GSA) operated in the anomalous net dispersion regime [10]. Slightly higher energy (44 pJ) for 174 fs pulses was demonstrated previously in non-PM cavity with GSA [11]. Another type of saturable absorber, topological insulator (TI) was also successfully demonstrated in an all-fiber configuration resulting in 130-fs 45-pJ pulses [12].Further energy up-scaling became possible by realizing the HCDS in the normal net dispersion regime, one of the most advanced ways to generate high-energy femtosecond pulses in mode-locked oscillators demonstrated so far, see review [13]. We have studied the HCDS regime earlier [14], showing an essential result used in the current publication, namely that the numerical simulations and analytical solution in the high chirp limit ( f 1) agree well at f > 10. The HCDS regime was experimentally demonstrated for the first time in Ytterbium [15] and Erbium fiber oscillators [16...

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“…So, the pulses were compressed by a factor of about 40. This value can also be used as an estimation of the chirp parameter [14,29]. Fig.…”

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All-fiber highly chirped dissipative soliton generation in the telecom range

et al. 2017

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“…Recently, an interesting class of approximate solutions that are called highly chirped solitons has been reported [23][24][25][26][27]. However, in this paper we do not consider such solutions since our study focuses on the anomalous dispersion regime, while the reported approximate analytical solutions are found in the normal dispersion regime.…”

Section: The Equilibrium Solution and Its Stabilitymentioning

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Boundary tracking algorithms for determining the stability of mode-locked pulses

et al. 2014

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“…Single-wavelength pulses, including conventional solitons [23,24], stretched pulses [25], self-similar pulses [26], and dissipative solitons [27][28][29][30][31], have been studied numerically and experimentally in passively mode-locked fiber lasers. Recently, Liu reported the formation and the dynamitic evolution of solitons in the large anomalous dispersion regime [32,33], but his work focused on the solitons operating in the single-wavelength regime.…”

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Formation and evolution of passively mode-locked fiber soliton lasers operating in a dual-wavelength regime

Mao

Lü

2012

J. Opt. Soc. Am. B

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The formation and evolution of dual-wavelength solitons in passively mode-locked fiber soliton lasers are investigated both numerically and experimentally. By solving the Ginzburg-Landau equation and taking the gain profile into account, mode-locked soliton emissions at 1532 and 1555 nm are achieved simultaneously. Numerical results show that the two solitons exhibit the same intensity and duration, indicating that the dual-wavelength pulses possess the soliton energy quantization effect. In the process of pulse-pulse collisions, two solitons pass through each other and maintain their properties, qualitatively distinct from single-wavelength solitons that never overlap each other. The dual-wavelength mode-locked operation evolves into single-wavelength mode locking with the decrease of the pumping strength. The dual-peak gain spectrum of erbium-doped fiber and the birefringence-induced cavity filtering effect play crucial roles in the formation of dual-wavelength solitons. Numerical results agree well with analytical solutions and experimental observations. Our study provides an optional method of measuring the fiber dispersion by means of the dual-wavelength solitons.

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Highly chirped dissipative solitons as a one-parameter family of stable solutions of the cubic–quintic Ginzburg–Landau equation

Cited by 39 publications

References 29 publications

All-fiber highly chirped dissipative soliton generation in the telecom range

All-fiber highly chirped dissipative soliton generation in the telecom range

Boundary tracking algorithms for determining the stability of mode-locked pulses

Formation and evolution of passively mode-locked fiber soliton lasers operating in a dual-wavelength regime

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