Evaluation of Pearson correlation coefficient and Parisi parameter of replica symmetry breaking in a hybrid electronically addressable random fiber laser

The hybrid electronically addressable random (HEAR) laser is a novel type of random fiber laser that presents the remarkable property of selection of the fiber section with lasing emission. Here we present a joint analysis of the correlations between intensity fluctuations at distinct wavelengths an...

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Bibliographic Details
Published in:Optics express 2021-07, Vol.29 (15), p.24422-24433
Main Authors: Coronel, Edwin, Das, Avishek, González, Iván R. R., Gomes, Anderson S. L., Margulis, Walter, von der Weid, J. P., Raposo, Ernesto P.
Format: Article
Language:English
Subjects:
Correlation methods
Fiber lasers
Intensity fluctuations
Joint analysis
Lasing emissions
Pearson coefficient
Pearson correlation coefficients
Random lasing
Replica symmetry breakings
Stochastic dynamics
Stochastic systems
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Summary:The hybrid electronically addressable random (HEAR) laser is a novel type of random fiber laser that presents the remarkable property of selection of the fiber section with lasing emission. Here we present a joint analysis of the correlations between intensity fluctuations at distinct wavelengths and replica symmetry breaking (RSB) behavior of the HEAR laser. We introduce a modified Pearson coefficient that simultaneously comprises both the Parisi overlap parameter and standard Pearson correlation coefficient. Our results highlight the contrast between the correlations and presence or not of RSB phenomenon in the spontaneous emission behavior well below threshold, replica-symmetric ASE regime slightly below threshold, and RSB phase with random lasing emission above threshold. In particular, in the latter we find that the onset of RSB behavior is accompanied by a stochastic dynamics of the lasing modes, leading to competition for gain intertwined with correlation and anti-correlation between modes in this complex photonic phase.
ISSN:1094-4087
1094-4087
DOI:10.1364/OE.431981