This paper presents a review of a few low-dimensional models which describe some of the dynamical properties of the single-mode inhomogeneously broadened, unidirectional ring laser, and points out the limits of their validity in comparison to the integro-differential equations from which they are derived. A 6D model that seems to circumvent the weaknesses of the other models is also proposed. A numerical analysis with parameter values that correspond to two-laser systems shows a good description of most of the qualitative dynamical aspects exhibited by these systems. The simplicity of our model will allow for a deep numerical investigation, and will yield a better insight into the physical mechanisms connected with single-mode inhomogeneously broadened laser dynamics.

• Received 19 June 1991

DOI:https://doi.org/10.1103/PhysRevA.45.3150