2010/12/06 by Moti Fridman, Rami Pugatch, Fridman, Moti +7 · 1 citation
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Blind Source Separation Techniques #Data Analysis #FOS: Physical sciences #Mathematical Physics (math-ph) #Optical Network Technologies #Optics (physics.optics) #Random Matrices and Applications #Statistics and Probability (physics.data-an) #math-ph #math.MP #physics.data-an #physics.optics
paper · pdf · doi:10.48550/arxiv.1012.1282
4 pages, 4 figures, submitted to PRL
openalex publication_date 2010/12/06 · arxiv created 2011/05/26 · arxiv updated 2015/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We determined the probability distribution of the combined output power from twenty five coupled fiber lasers and show that it agrees well with the Tracy-Widom, Majumdar-Vergassola and Vivo-Majumdar-Bohigas distributions of the largest eigenvalue of Wishart random matrices with no fitting parameters. This was achieved with 500,000 measurements of the combined output power from the fiber lasers, that continuously changes with variations of the fiber lasers lengths. We show experimentally that for small deviations of the combined output power over its mean value the Tracy-Widom distribution is correct, while for large deviations the Majumdar-Vergassola and Vivo-Majumdar-Bohigas distributions are correct.