Optical oscillators and amplifiers with local electro-optical feedback control loops are very attractive for different applications concerned with coherent optical communication systems, coherent combining and beam steering problems. A mathematical model of a phase-controlled optical amplifier is proposed. Dynamics of the model is studied, different stationary regimes, regular and chaotic modulation regimes are presented. For solution of problems of coherent combining and beam steering it is proposed to use the nonlinear dynamics effects that control arrays of coupled optical amplifiers. The considered model is universal for description the dynamics of high, ultra-high frequency and optical amplifiers with local phase-control loops.
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