Analytical expressions for the pulse variables (duration, energy, chirp, beam size, and curvature) of a self-mode-locked laser are obtained in the form of a five-dimensional iterative map from the full time-and-space (4 × 4) matrix formalism and the gain-equal-to-loss condition. In spite of the great simplifications involved, the model shows good agreement with other authors’ reported experimental data and detailed numerical simulations. The aim is that map theory be used to yield insight into the dynamics of self-mode-locked lasers. As an example of a practical application regions of dynamically stable laser operation in the parameter space are computed.
© 1995 Optical Society of America
Alejandro A. Hnilo, "Self-mode-locking Ti:sapphire laser description with an iterative map," J. Opt. Soc. Am. B 12, 718-725 (1995)