Phase locking of multicore photonic crystal fibres.

We have analysed different 1D and 2D arrays of evanescently coupled cores within a fibre laser structure. The supermodes (phase-locked modes) have been calculated using coupled mode theory. We show that without a Talbot mirror, the out-of-phase supermode has the lowest threshold. Supermode selection is obtained using a Talbot cavity. A threshold analysis is carried out and it is shown than the in-phase supermode can be selected for a densely packed array of cores. 2D core structures are much more effective than 1D core structures for in-phase supermode selection. The influence of parameters like the strength of the evanescent coupling constant or the core-to-core detunings of propagation constant on the dynamical stability of the supermodes is investigated. We give figures of the minimum bend radius for phase locking. We show that large multicore structures can potentially be bent tighter than the equivalent single large core fibre laser.