1. Intensity $g^{(2)}$-correlations in random fiber lasers: A random matrix theory approach
- Author
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Raposo, Ernesto P., Gonzáles, Iván R. R., Coronel, Edwin D., Macêdo, Antônio M. S., Menezes, Leonardo de S., Kashyap, Raman, Gomes, Anderson S. L., and Kaiser, Robin
- Subjects
Physics - Optics ,Physics - Data Analysis, Statistics and Probability - 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., Comment: 5 pages, 4 figures
- Published
- 2022
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