Model for high-gain fiber laser arrays

Abstract

Abstract-Recent experiments have shown that a small number of fiber lasers can spontaneously form coherent states when suitably coupled. The observed synchrony persisted for a long time without any active control. In this paper, we develop a dynamical model for fiber laser arrays that is valid in the high gain regime. In the limiting case of a single laser analysis and simulations are presented that agree with physical expectations. Using simulations to examine array behavior we report results that are in qualitative agreement with laboratory observations.

Coherence between two coupled lasers from a dynamics perspective

“…In a three-level lasing scheme, the forward-travelling electric fields E 1,2 and gains G 1,2 of the individual fibers, starting in Fig. 1 immediately before the output coupler, are explicitly transformed in one pass through their respective cavities over a round-trip time T according to [20,21] After an initial pass through the coupler, denoted by the matrix S in Eq. (1), the emerging electric fields propagate towards the output facets with respective reflection coefficients r 1,2 .…”

“…We have previously derived a general formulation to describe passive linear coupling for an arbitrary number of interacting fibers [20]. A directional coupler between two waveguides may be succinctly characterized by the propagation constants β 1,2 for light remaining within a given fiber through the coupling region and the propagation constants κ 12 and κ 21 describing the perturbation of light entering from the other fiber.…”

“…In this paper we investigate the phenomenon of coherent emission from a single output facet using an iterative map model recently introduced to describe the dynamics of fiber laser arrays [20]. Simulations of two coupled lasers with experimentally derived parameters robustly Fig.…”

Theoretical study on phase locking of the array of fiber lasers coupled by bi-dimensional mutual injection

“…27 The main difference between two arrays is that the fiber loop is used as the mode-selection component in the latter array, 27 while no mode-selection component is utilized in the former one. Besides that, the array of the mutually-injected fiber lasers is also different from the array coupled by evanescent coupling [32][33][34] because a loss mechanism is induced by mutual injection (see Fig. 1) but on loss mechanism is induced by evanescent coupling.…”

Effect of Gain-Dependent Phase Shift on Fiber Laser Synchronization

“…Despite some success in the laboratory and some success in modeling these systems [10]- [13], the key mechanism responsible for the synchronized behavior is still in question. Besides the obvious fundamental scientific interest, understanding the mechanism may be important if one ever hopes to achieve synchronization for very large arrays [14]- [16].…”