Larry Fabiny

TL;DR: This work examines the mutual coherence and phase dynamics of two solid-state lasers generated adjacent to each other in a single Nd:YAG rod, and theoretical predictions are obtained that are in excellent agreement with the measurements.

Abstract: We present a theoretical study of synchronization in N-element solid-state laser arrays. We carry out the linear stability analysis for three types of solution: the nonlasing state, the in-phase periodic state, and the splayphase state. Both nearest-neighbor (on a ring) coupling and global (all-to-all) coupling are treated; the system symmetries enable us to solve the linear stability problem for arbitrary N. We consider the general case in which the coupling coefficient iκ is complex and find that stability depends crucially on the sign of the imaginary part of κ. In the case of global coupling, we discover a surprising result: the existence of an N − 2 parameter family of frequency-locked neutrally stable states. These states should display substantial phase diffusion in the presence of noise.

TL;DR: In this article, the authors investigate correlations of the intensity fluctuations of two-dimensional arrays of nonidentical, locally coupled lasers, numerically and experimentally, and find evidence of a power-law dependence of spatial correlations as a function of laser pair distance near the phase-locking threshold.

TL;DR: Evidence of a power-law dependence of spatial correlations as a function of laser pair distance (or coupling strength) near the phase-locking threshold is found.