Achronal generalized synchronization in mutually coupled semiconductor lasers

Heil et al. [Phys. Rev. Lett. 86, 795 (2001)] recently discovered achronal synchronization of chaos in mutually coupled semiconductor lasers. This paper offers an analytic interpretation of their experiment using a simple rate equation model. Local eigenvalue analysis shows that isochronal synchronization is unstable; achronal synchronization, on the other hand, is stable if a generalized synchronization function is introduced. Single- and multimode simulations have substantiated this rate equation interpretation. Finally, there is a brief examination of "chaos pass filtering."