Self mode locking Ti:sapphire laser description with an iterative map

ALEJANDRO HNILO

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS

Año: 1995 vol. 12 p. 718 - 725

0740-3224

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 (4x4) 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 a example of a practical application regions of dynamically stable laser operation in the parameter space are computed.