Influence of external phase and gain-loss modulation on bound solitons in laser systems

Chang, Wonkeun; Akhmediev, Nail; Wabnitz, Stefan; Taki, Majid

doi:10.1364/josab.26.002204

Cited by 22 publications

(8 citation statements)

References 40 publications

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“…[23][24][25]. In particular, CGLEs serve as realistic dynamical models of laser cavities, accounting for the formation of stable fundamental and vortex solitons, as well as multi-soliton clusters [26][27][28][29][30][31][32][33][34][35][36][37]. The fractional generalization of CGLE was first presented by Weitzner and Zaslavsky [38], and later derived as variational Euler-Lagrange equations in fractal media [39,40].…”

Section: Introductionmentioning

confidence: 99%

Soliton dynamics in a fractional complex Ginzburg-Landau model

Qiu

Malomed²,

Mihalache³

et al. 2020

Chaos, Solitons & Fractals

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The general objective of the work is to study dynamics of dissipative solitons in the framework of a one-dimensional complex Ginzburg-Landau equation (CGLE) of a fractional order. To estimate the shape of solitons in fractional models, we first develop the variational approximation for solitons of the fractional nonlinear Schrödinger equation (NLSE), and an analytical approximation for exponentially decaying tails of the solitons. Proceeding to numerical consideration of solitons in *Manuscript Click here to view linked References fractional CGLE, we study, in necessary detail, effects of the respective Lévy index (LI) on the solitons' dynamics. In particular, dependence of stability domains in the model's parameter space on the LI is identified. Pairs of in-phase dissipative solitons merge into single pulses, with the respective merger distance also determined by LI.

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Section: Introductionmentioning

confidence: 99%

Soliton dynamics in a fractional complex Ginzburg-Landau model

Qiu

Malomed²,

Mihalache³

et al. 2020

Chaos, Solitons & Fractals

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“…1, a) [16]. As it was previously found, an external periodical phase modulation can substantially enhance 1D-soliton stability in a dissipative system in the presence of Kerr-nonlinearity [45][46][47][48][49]. Such a modulation involves, in particular, a periodic change of the refractive index over a laser cavity round-trip [50].…”

Section: Introductionmentioning

confidence: 99%

Stabilization of Spatiotemporal Dissipative Solitons in Multimode Fiber Lasers by External Phase Modulation

Kalashnikov,

Wabnitz

2021

Preprint

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In this work, we introduce a method for the stabilization of spatiotemporal solitons. These solitons correspond to light bullets in multimode optical fiber lasers, or localized coherent patterns in Bose-Einstein condensates. We show that a three-dimensional confinement potential, formed by a two-dimensional graded refractive index including radially-graded dissipation, in combination with external temporal phase modulation, may permit the generation of stable spatiotemporal dissipative solitons. This corresponds to combining harmonic mode-locking with the distributed Kerr-lens mode locking mechanism. Our study of the soliton characteristics and stability is based on analytical and numerical solutions of the generalized dissipative Gross-Pitaevskii equation. This approach could lead to higher energy (or condensate mass) harvesting in coherent spatio-temporal beam structures formed in multimode fiber lasers (or weakly-dissipative Bose-Einstein condensates).

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“…In order to identify the appropriate dynamics, different models were developed for such lasers. These include the numerical evolution of the scalar Ginzburg-Landau equations [20][21][22][23] or analytical solutions for these equations [24]. Some numerical works have focused on the state-of-polarization dynamics of the output of ultrafast lasers [25][26][27][28][29][30][31][32][33][34] and others described the state-of-polarization during the propagation of the pulse inside the laser cavity [35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Polarization dynamics of ultrafast solitons

Klein,

Meir,

Duadi

et al. 2021

Preprint

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We study the polarization dynamics of ultrafast solitons in mode-locked fiber lasers. We find that when a stable soliton is generated, it's state-of-polarization shifts toward a stable state and when the soliton is generated with excess power levels it experiences relaxation oscillations in its intensity and timing. On the other hand, when a soliton is generated in an unstable state-of-polarization, it either decays in intensity until it disappears, or its temporal width decreases until it explodes into several solitons and then it disappears. We also found that when two solitons are simultaneously generated close to each other, they attract each other until they collide and merge into a single soliton. Although, these two solitons are generated with different states-of-polarization, they shift their state-of-polarization closer to each other until the polarization coincides when they collide. We support our findings by numerical calculations of a non-Lagrangian approach by simulating the Ginzburg-Landau equation governing the dynamics of solitons in a laser cavity. Our model also predicts the relaxation oscillations of stable solitons and the two types of unstable solitons observed in the experimental measurements.

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Influence of external phase and gain-loss modulation on bound solitons in laser systems

Cited by 22 publications

References 40 publications

Soliton dynamics in a fractional complex Ginzburg-Landau model

Soliton dynamics in a fractional complex Ginzburg-Landau model

Stabilization of Spatiotemporal Dissipative Solitons in Multimode Fiber Lasers by External Phase Modulation

Polarization dynamics of ultrafast solitons

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