Abstract

The temporal scales for the evolution of dynamical variables in laser equations are well known to be quite different from each other for a large variety of solid-state (like Nd:YAG) and semiconductor lasers. In the case of pure temporal dynamics, techniques for the adiabatic elimination of fast variables in laser equations based on Center Manifold (CM) techniques have been developed and successfully tested [1]. In the case of spatio-temporal laser equations, however, reductions of relevant variables for the long term laser evolution have been limited by the presence of spatially modulated solutions and their dynamics. The most successful of these attempts is based on perturbation expansions in the vicinity of the laser threshold and leading to Swift-Hohenberg based models [2].

© 2007 IEEE