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Open AccessArticle

Turbulent Intermittency in a Random Fiber Laser

1
Laboratório de Física Teórica e Computacional, Departamento de Física, Universidade Federal de Pernambuco, Recife 50670-901, Brazil
2
Departamento de Física, Universidade Federal de Pernambuco, Recife 50670-901, Brazil
*
Author to whom correspondence should be addressed.
Atoms 2019, 7(2), 43; https://doi.org/10.3390/atoms7020043
Received: 30 January 2019 / Revised: 1 April 2019 / Accepted: 4 April 2019 / Published: 9 April 2019
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Abstract

In fluid turbulence, intermittency is the emergence of non-Gaussian tails in the distribution of velocity increments in small space and/or time scales. Intermittence is thus expected to gradually disappear as one moves from small to large scales. Here we study the turbulent-like intermittency effect experimentally observed in the distribution of intensity fluctuations in a disordered continuous-wave-pumped erbium-doped-based random fiber laser with specially-designed random fiber Bragg gratings. The intermittency effect is investigated as a crossover in the distribution of intensity increments from a heavy-tailed distribution (for short time scales), to a Gaussian distribution (for large time scales). The results are theoretically supported by a hierarchical stochastic model that incorporates Kolmogorov’s theory of turbulence. In particular, the discrete version of the hierachical model allows a general direct interpretation of the number of relevant scales in the photonic hierarchy as the order of the transitions induced by the non-linearities in the medium. Our results thus provide further statistical evidence for the interpretation of the turbulence-like emission previously observed in this system. View Full-Text
Keywords: random lasers; turbulence; stochastic processes random lasers; turbulence; stochastic processes
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Macêdo, A.M.S.; González, I.R.R.; Raposo, E.P.; Menezes, L.S.; Gomes, A.S.L. Turbulent Intermittency in a Random Fiber Laser. Atoms 2019, 7, 43.

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