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A theoretical investigation is made of the phase locking of a laser array in the case of different types of multibeam intracavity interaction in nonlinear media. The conditions are found under which a long-range coupling of the `all with all' type is established between the lasers and also when only the nearest neighbors interact (short-range coupling). The influence of the number of lasers, frequency offsets of their resonators, and of the coupling coefficients on the phase- locking band is considered. Expressions are obtained for determination of the threshold values of the gain and of the frequency characteristics of cophasal and noncophasal operation of a laser array under long-range and short-range coupling conditions. A study is made of the influence of the parameters of a resonantly absorbing medium on phase locking of a set of lasers and it is shown that in the case of the optimal long-range coupling the phase-locking band is independent of the number of lasers.
I. M. Bel'dyugin,D. D. Alimin, andMark V. Zolotarev
"Phase locking of a laser array in the case of different types of multibeam intracavity interaction in nonlinear media", Proc. SPIE 2109, CIS Selected Papers: High-Power Multibeam Lasers and Their Phase Locking, (7 October 1993); https://doi.org/10.1117/12.160392
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I. M. Bel'dyugin, D. D. Alimin, Mark V. Zolotarev, "Phase locking of a laser array in the case of different types of multibeam intracavity interaction in nonlinear media," Proc. SPIE 2109, CIS Selected Papers: High-Power Multibeam Lasers and Their Phase Locking, (7 October 1993); https://doi.org/10.1117/12.160392