14 November 2013 Theory of phase-locking of multi-stable fiber amplifier arrays
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We solve the time-independent (o.d.e.) propagation equations for the c.w. operation of an array of externally coupled fiber amplifiers with internal reflection, in which Kerr and resonant nonlinearities play a part. A transcendental equation for each amplifier is obtained, collectively yielding multiple distinct array solutions, which are characterized in terms of their mutual phase coherence. We find that the two types of nonlinearity (Kerr and resonant) affect the solutions in distinct parameter regimes. The relation of Strehl ratio to output power at fixed wavelength and feedback level reveals that phase-locking may occur due to nonlinearity as opposed to mode selection, in accordance with recent experiments (H-S Chiang, J.R. Leger, J. Nilsson and J. Sahu, Optics Letters (2013)). The individual lasing instability (“rogue” lasing) anticipated by A.E. Siegman in 2004 we observed only at low feedback levels in a small number of cases.
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Erik J. Bochove, Erik J. Bochove, Mohammad R. Zunoubi, Mohammad R. Zunoubi, Christopher J. Corcoran, Christopher J. Corcoran, "Theory of phase-locking of multi-stable fiber amplifier arrays", Proc. SPIE 8885, Laser-Induced Damage in Optical Materials: 2013, 888515 (14 November 2013); doi: 10.1117/12.2031605; https://doi.org/10.1117/12.2031605


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