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In this paper we present the results of analytical and numerical studies into synchronization of a large number of optically coupled resonators with random detuning of eigenfrequencies. We consider the `nearest-neighbor' coupling model with allowance made for gain saturation. Assuming that the coupling coefficient has zero imaginary part, the problem of steady-state phase distribution over the aperture of the two-dimensional array reduces to the problem of temperature distribution in a 2-D medium at the presence of heat sources and coolers with random powers. It is shown that the steady-state phase distribution over the aperture has the domain-like form. Phases in adjacent domains differ by values of the order of (pi) . Combining the scheme with nearest-neighbor coupling and external signal injection, we can easily attain synchronous lasing from large arrays.
A. A. Golubentsev,Vladimir V. Likhanskii, andAnatoly P. Napartovich
"Phase locking of a two-dimensional laser array with random detuning of eigenfrequencies", Proc. SPIE 2109, CIS Selected Papers: High-Power Multibeam Lasers and Their Phase Locking, (7 October 1993); https://doi.org/10.1117/12.160390
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A. A. Golubentsev, Vladimir V. Likhanskii, Anatoly P. Napartovich, "Phase locking of a two-dimensional laser array with random detuning of eigenfrequencies," Proc. SPIE 2109, CIS Selected Papers: High-Power Multibeam Lasers and Their Phase Locking, (7 October 1993); https://doi.org/10.1117/12.160390