Phase model analysis of two lasers with injected field

We study the dynamics of two coupled solid state lasers subject to an injected field. A singular perturbation technique is used to reduce the full set of rate equations; we present a comprehensive bifurcation analysis of the resulting phase model. We find four distinct routes to full entrainment as the injected field amplitude increases; bifurcation diagram predicts that the entrainment (reflected in the total intensity) does not monotonically improve with the injected field strength. Our numerical simulations suggest that the reduced phase model captures the relevant dynamics well beyond the asymptotic regime in which it is derived.