Bistable dissipative soliton in cubic-quintic nonlinear medium with multiphoton absorption and gain dispersion

Parmar, Gurkirpal Singh; Jana, Soumendu

doi:10.1080/09205071.2015.1046560

Cited by 6 publications

(3 citation statements)

References 29 publications

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“…The resulting amplification effect is sometimes called the threephoton emission (3PE) [70]. In particular, the action of the polarization-correlated 3PE leads to formation of a positively charged triexciton (a bound state of three electron-hole pairs) in a self-assembled GaAs quantum dot [71].…”

Section: Case (I) = (The Nondispersive-gain -Linear-loss Balance)mentioning

confidence: 99%

Dissipative soliton fiber lasers with higher-order nonlinearity, multiphoton absorption and emission, and random dispersion

2017

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We study the generation of dissipative solitons (DSs) in the model of the fiber-laser cavities under the combined action of cubic-quintic nonlinearity, multiphoton absorption and/or multiphoton emission (nonlinear gain) and gain dispersion. A random component of the group-velocity dispersion (GVD) is included too. The DS creation and propagation is studied by means of a variational approximation and direct simulations, which are found to be in reasonable agreement. With a proper choice of the gain, robust DS operation regimes are predicted for different combinations of multiphoton absorption and emission, in spite of the presence of the perturbation in the form of the random GVD. Importantly, the zero background around the solitons remains stable in the presence of the (necessary) linear gain. The solitons are stable too against a certain (realistic) level of noise. Another essential finding is that the quintic gain in the form of three-photon emission (3PE) offers an alternative mechanism for supporting stable solitons, provided that it is not too strong. The DSs coexist in low-and highamplitude forms, for a given value of their width. The low-amplitude DS is stable, while its high-amplitude counterpart is subject to the blowup instability, in the presence of the 3PE. Interactions between DSs show various scenarios of the creation of breather states through merger of the two solitons.

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Section: Case (I) = (The Nondispersive-gain -Linear-loss Balance)mentioning

confidence: 99%

Dissipative soliton fiber lasers with higher-order nonlinearity, multiphoton absorption and emission, and random dispersion

2017

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“…It is worthy to note that, as figure 5 demonstrates, the interplay of the different effects in the model makes the necessary value of the gain slightly larger in the presence of both the TPA and 3PA than in the case when only the 3PA effect is present (the same feature is observed below in figure 6). In real fiber lasers, it may be possible that only one of these multiphoton-absorption effects is effectively present, or both are acting simultaneously [53,54]. It is observed that for random dispersion map the net gain increases keeping the effect of multiphoton absorption unaltered (figure 5(b))…”

Section: Generation Of Dmds In Random Mediamentioning

confidence: 99%

“…Although the quintic nonlinear term is weak in comparison with the basic cubic nonlinearity, the combined action of the self-focusing cubic and defocusing nonlinearities, which correspond, respectively, to real parts of the cubic and quintic susceptibilities, χ 3 and χ 5 , gives rise to noteworthy pulse features and dynamics. The corresponding imaginary parts of χ 3 and χ 5 account for the two-photon absorption (TPA) and threephoton absorption (3PA) effects, respectively, in the fiber cavity [53,54]. Further, the effect of the finite gain bandwidth becomes important for femtosecond and few-picosecond fiber-laser pulses [55].…”

Section: Introductionmentioning

confidence: 99%

Dispersion-managed soliton fiber laser with random dispersion, multiphoton absorption and gain dispersion

Parmar

Pradhan

Malomed

et al. 2018

J. Opt.

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We address the generation and interaction of dispersion-managed dissipative solitons (DMDSs) in a model of fiber lasers with the cubic-quintic nonlinearity, multiphoton absorption and gain dispersion. Both anomalous and normal segments of the dispersion map include random dispersion fluctuations. Effects of the gain dispersion, higher-order nonlinearity and randomness on the generation of DMDS are demonstrated. The solitons exhibit breather-like evolution, and are found to be robust, up to a certain critical level of the random-dispersion component, which is sufficiently high. The roles of multiphoton absorption, gain dispersion and nonlinearity on the DMDS are also identified in the absence of randomness. Pair wise interactions of solitons lead, most typically, to their merger, with breaking of the left-right symmetry. The outcome of the collisions is more sensitive to the initial temporal separation between the solitons than to their phase difference.

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Dispersion managed dissipative solitons with higher order nonlinearity and frequency-selective feedback

et al. 2017

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Bistable dissipative soliton in cubic-quintic nonlinear medium with multiphoton absorption and gain dispersion

Cited by 6 publications

References 29 publications

Dissipative soliton fiber lasers with higher-order nonlinearity, multiphoton absorption and emission, and random dispersion

Dissipative soliton fiber lasers with higher-order nonlinearity, multiphoton absorption and emission, and random dispersion

Dispersion-managed soliton fiber laser with random dispersion, multiphoton absorption and gain dispersion

Dispersion managed dissipative solitons with higher order nonlinearity and frequency-selective feedback

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