Successions of Bifurcations in the Laser with a Saturable Absorber as Distributed System

Results of the investigation of the semiclassical equations for the running wave in the laser with a saturable absorber are proposed on the basis of the system for normalized values and sizeless coordinates Here and ei, φi and pi, ψi are the amplitudes and phases of the field and of the polarization of the medium, accordingly, ki is the relative inversion of populations, i=1 for an active medium, i=2 for an absorber. Constants di and gi determine the relaxation rates of the inversion of populations and polarization of the medium, fi. characterizes the distributed losses, ai, bi and h give the efficiency of the interaction of the polarization and inversion of the medium with the field, wc and wai are the frequencies of the cavity and of the medium.