Theoretical study of solid state losers

Summary form only given. Coupled solid state laser systems belong to the wide family of nonlinear coupled oscillators. These systems are known to exhibit a great number of rich and complex dynamical behaviors: chaos, partial synchronization, periodic behavior, spiking. When the coupling strength is high enough, all the oscillators adopt a common and well defined phase relationship (phase locking). This state of collective order is very important since phase locked lasers are promising candidates for the delivering of high power coherent output. Starting from Maxwell-Bloch equations, we develop a theoretical model for a set of coupled monomode lasers in a single crystal. We adopt a semi-classical description and obtain a set of equations describing the temporal evolution of laser field amplitude and population inversion.