Turbulence hierarchy in a random fibre laser

Iván R. Roa González, Bismarck C. Lima, Pablo I. R. Pincheira, Arthur A. Brum, Antônio M. S. Macêdo, Giovani L. Vasconcelos, Leonardo de S. Menezes, Ernesto P. Raposo (), Anderson S. L. Gomes and Raman Kashyap
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Iván R. Roa González: Laboratório de Física Teórica e Computacional, Universidade Federal de Pernambuco
Bismarck C. Lima: Universidade Federal de Pernambuco
Pablo I. R. Pincheira: Universidade Federal de Pernambuco
Arthur A. Brum: Laboratório de Física Teórica e Computacional, Universidade Federal de Pernambuco
Antônio M. S. Macêdo: Laboratório de Física Teórica e Computacional, Universidade Federal de Pernambuco
Giovani L. Vasconcelos: Laboratório de Física Teórica e Computacional, Universidade Federal de Pernambuco
Leonardo de S. Menezes: Universidade Federal de Pernambuco
Ernesto P. Raposo: Laboratório de Física Teórica e Computacional, Universidade Federal de Pernambuco
Anderson S. L. Gomes: Universidade Federal de Pernambuco
Raman Kashyap: Fabulas Laboratory, Polytechnique Montreal

Nature Communications, 2017, vol. 8, issue 1, 1-8

Abstract: Abstract Turbulence is a challenging feature common to a wide range of complex phenomena. Random fibre lasers are a special class of lasers in which the feedback arises from multiple scattering in a one-dimensional disordered cavity-less medium. Here we report on statistical signatures of turbulence in the distribution of intensity fluctuations in a continuous-wave-pumped erbium-based random fibre laser, with random Bragg grating scatterers. The distribution of intensity fluctuations in an extensive data set exhibits three qualitatively distinct behaviours: a Gaussian regime below threshold, a mixture of two distributions with exponentially decaying tails near the threshold and a mixture of distributions with stretched-exponential tails above threshold. All distributions are well described by a hierarchical stochastic model that incorporates Kolmogorov’s theory of turbulence, which includes energy cascade and the intermittence phenomenon. Our findings have implications for explaining the remarkably challenging turbulent behaviour in photonics, using a random fibre laser as the experimental platform.

Date: 2017
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DOI: 10.1038/ncomms15731

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