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Raposo, Ernesto P.; Gonzalez, Ivan R. R.; Coronel, Edwin D.; Macedo, Antonio M. S.; Menezes, Leonardo de S.; Kashyap, Raman; Gomes, Anderson S. L. und Kaiser, Robin (2022): Intensity g((2)) correlations in random fiber lasers: A random-matrix-theory approach. In: Physical Review A, Bd. 105, Nr. 3, L031502

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Abstract

We propose an approach based on random matrix theory to calculate the temporal second-order intensity correlation function g((2))(t) of the radiation emitted by random lasers and random fiber lasers. The multimode character of these systems, with a relevant degree of disorder in the active medium, and a large number of random scattering centers substantially hinder the calculation of g((2))(t). Here, we apply in a photonic system the universal statistical properties of Ginibre's non-Hermitian random matrix ensemble to obtain g((2))(t). Excellent agreement is found with time-resolved measurements for several excitation powers of an erbium-based random fiber laser. We also discuss the extension of the random matrix approach to address the statistical properties of general disordered photonic systems with various Hamiltonian symmetries.

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