Topological analysis of chaos in the optically pumped laser

A topological analysis has been carried out on time series generated from a Doppler broadened three-level model, which has been proposed to describe optically pumped lasers, in particular the far-infrared ammonia laser. In certain parameter ranges it is known that the experimental findings and the predictions from the Doppler broadened optically pumped laser model closely agree and show features that follow the dynamics of the Lorenz model. By means of a suitable symmetry adapted differential phase space embedding, the present analysis shows that, in fact, the embedded data sets are topologically equivalent to the Lorenz attractor. This equivalence essentially remains upon variation of a laser control parameter within a certain range.