Wave kinetics of random fibre lasers

Churkin, Dmitry V.; Kolokolov, I. V.; Podivilov, E. V.; Vatnik, Ilya D.; Nikulin, M. A.; Vergeles, S. S.; Terekhov, I. S.; Лебедев, В. В.; Falkovich, Gregory; Babin, Sergey A.; Turitsyn, Sergei K.

doi:10.1038/ncomms7214

Cited by 124 publications

(93 citation statements)

References 38 publications

(49 reference statements)

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“…For a random fiber laser, the modified Schawlow-Townes approach could also be used to describe the spectral narrowing of the generated radiation near the generation threshold of a random fiber laser. Further, we follow the description from [138].…”

Section: 1b Spectral Narrowing Within the Modified Schawlow-townesmentioning

confidence: 99%

“…(5). Black circles are experimental data [138]. generation threshold and above the generation threshold [ Fig.…”

Section: 1b Spectral Narrowing Within the Modified Schawlow-townesmentioning

confidence: 99%

“…With appropriate boundary conditions, I − ω L I ω L, for a backward pumping scheme, (see [138]) the output generation spectrum of the random distributed fiber laser near generation threshold is derived:…”

Section: 1b Spectral Narrowing Within the Modified Schawlow-townesmentioning

confidence: 99%

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Recent advances in fundamentals and applications of random fiber lasers

et al. 2015

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Doc. ID 239686)Random fiber lasers blend together attractive features of traditional random lasers, such as low cost and simplicity of fabrication, with high-performance characteristics of conventional fiber lasers, such as good directionality and high efficiency. Low coherence of random lasers is important for speckle-free imaging applications. The random fiber laser with distributed feedback proposed in 2010 led to a quickly developing class of light sources that utilize inherent optical fiber disorder in the form of the Rayleigh scattering and distributed Raman gain. The random fiber laser is an interesting and practically important example of a photonic device based on exploitation of optical medium disorder. We provide an overview of recent advances in this field, including high-power and high-efficiency generation, spectral and statistical properties of random fiber lasers, nonlinear kinetic theory of such systems, and emerging applications in telecommunications and distributed sensing.

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Section: 1b Spectral Narrowing Within the Modified Schawlow-townesmentioning

confidence: 99%

“…(5). Black circles are experimental data [138]. generation threshold and above the generation threshold [ Fig.…”

Section: 1b Spectral Narrowing Within the Modified Schawlow-townesmentioning

confidence: 99%

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Recent advances in fundamentals and applications of random fiber lasers

et al. 2015

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“…Such an equation becomes nontrivial in a dissipative environment [17,18]. A simple generalization of NSE (1) taking into account the dissipative effects includes a saturable gain (energy "source") σ, dissipative nonlinearity (self-amplitude modulation, SAM) Ϝ(|Ψ| 2 ), and spectral dissipation (spectral in the sense of dissipation in the Fourier space)…”

Section: Analogy Between Ds and Turbulencementioning

confidence: 99%

Self-Organization, Coherence and Turbulence in Laser Optics

Калашников¹,

Sorokin²

2018

Complexity in Biological and Physical Systems - Bifurcations, Solitons and Fractals

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In the last decades, rapid progress in modern nonlinear science was marked by the development of the concept of dissipative soliton (DS). This concept is highly useful in many different fields of science ranging from field theory, optics, and condensed matter physics to biology, medicine, and even sociology. This chapter aims to present a DS appearance from random fluctuations, development, and growth, the formation of the nontrivial internal structure of mature DS and its breakup, in other words, a full life cycle of DS as a self-organized object. Our extensive numerical simulations of the generalized cubicquintic nonlinear Ginzburg-Landau equation, which models, in particular, dynamics of mode-locked fiber lasers, demonstrate a close analogy between the properties of DS and the general properties of turbulent and chaotic systems. In particular, we show a disintegration of DS into a noncoherent (or partially coherent) multisoliton complex. Thus, a DS can be interpreted as a complex of nonlinearly coupled coherent "internal modes" that allows developing the kinetic and thermodynamic theory of the nonequilibrious dissipative phenomena. Also, we demonstrate an improvement of DS integrity and, as a result, its disintegration suppression due to noninstantaneous nonlinearity caused by the stimulated Raman scattering. This effect leads to an appearance of a new coherent structure, namely, a dissipative Raman soliton.

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“…There is an intuitive appeal in the idea that weakly nonlinear random waves should not exhibit reversible recurrences, but instead a monotonic irreversible process of thermalization to equilibrium. Such irreversible processes can be precisely formulated by using the welldeveloped wave turbulence theory [36][37][38][39][40][41], which has been successfully applied to a huge variety of physical systems [7][8][9]11,[42][43][44][45][46][47][48]. The wave turbulence theory is formally based on irreversible kinetic equations that describe an irreversible process of thermalization to equilibrium, as expressed by the fundamental H theorem of entropy growth.…”

Section: Introductionmentioning

confidence: 99%

Incoherent Fermi-Pasta-Ulam Recurrences and Unconstrained Thermalization Mediated by Strong Phase Correlations

et al. 2017

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The long-standing and controversial Fermi-Pasta-Ulam problem addresses fundamental issues of statistical physics, and the attempt to resolve the mystery of the recurrences has led to many great discoveries, such as chaos, integrable systems, and soliton theory. From a general perspective, the recurrence is commonly considered as a coherent phase-sensitive effect that originates in the property of integrability of the system. In contrast to this interpretation, we show that convection among a pair of waves is responsible for a new recurrence phenomenon that takes place for strongly incoherent waves far from integrability. We explain the incoherent recurrence by developing a nonequilibrium spatiotemporal kinetic formulation that accounts for the existence of phase correlations among incoherent waves. The theory reveals that the recurrence originates in a novel form of modulational instability, which shows that strongly correlated fluctuations are spontaneously created among the random waves. Contrary to conventional incoherent modulational instabilities, we find that Landau damping can be completely suppressed, which unexpectedly removes the threshold of the instability. Consequently, the recurrence can take place for strongly incoherent waves and is thus characterized by a reduction of nonequilibrium entropy that violates the H theorem of entropy growth. In its long-term evolution, the system enters a secondary turbulent regime characterized by an irreversible process of relaxation to equilibrium. At variance with the expected thermalization described by standard Gibbsian statistical mechanics, our thermalization process is not dictated by the usual constraints of energy and momentum conservation: The inverse temperatures associated with energy and momentum are zero. This unveils a previously unrecognized scenario of unconstrained thermalization, which is relevant to a variety of weakly dispersive wave systems. Our work should stimulate the development of new experiments aimed at observing recurrence behaviors with random waves. From a broader perspective, the spatiotemporal kinetic formulation we develop here paves the way to the study of novel forms of global incoherent collective behaviors in wave turbulence, such as the formation of incoherent breather structures.

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Wave kinetics of random fibre lasers

Cited by 124 publications

References 38 publications

Recent advances in fundamentals and applications of random fiber lasers

Recent advances in fundamentals and applications of random fiber lasers

Self-Organization, Coherence and Turbulence in Laser Optics

Incoherent Fermi-Pasta-Ulam Recurrences and Unconstrained Thermalization Mediated by Strong Phase Correlations

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