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arXiv · 2203.10404

Intensity $g^{(2)}$-correlations in random fiber lasers: A random matrix theory approach

Ernesto P. Raposo·Iván R. R. Gonzáles·Edwin D. Coronel·Antônio M. S. Macêdo·Leonardo de S. Menezes·Raman Kashyap·Anderson S. L. Gomes·Robin Kaiser
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Abstract

We propose a new 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 large number of random scattering centers substantially hinder the calculation of $g^{(2)}(t)$. Here we apply for the first time 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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Ernesto P. Raposo, Iván R. R. Gonzáles, Edwin D. Coronel, Antônio M. S. Macêdo, Leonardo de S. Menezes, Raman Kashyap, Anderson S. L. Gomes, Robin Kaiser. 2022-03-19. Intensity $g^{(2)}$-correlations in random fiber lasers: A random matrix theory approach. https://doi.org/10.1103/physreva.105.l031502

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