Abstract

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

Spatial–temporal analysis of the self-mode-locked Ti: sapphire laser

Juan L. A. Chilla and Oscar E. Martínez
J. Opt. Soc. Am. B 10(4) 638-643 (1993)

Completely self-starting picosecond and femtosecond Kerr-lens mode-locked Ti:sapphire laser

J.-M. Shieh, F. Ganikhanov, K.-H. Lin, W.-F. Hsieh, and Ci-Ling Pan
J. Opt. Soc. Am. B 12(5) 945-949 (1995)

Design and performance of a singly resonant picosecond LiB₃O₅ optical parametric oscillator synchronously pumped by a self-mode-locked Ti:sapphire laser

M. Ebrahimzadeh, S. French, and A. Miller
J. Opt. Soc. Am. B 12(11) 2180-2191 (1995)

Interpulse period doubling in a self-mode-locked Ti:sapphire laser

Hsiao-Hua Wu
J. Opt. Soc. Am. B 18(11) 1597-1600 (2001)

Self-mode locking of four-mirror-cavity solid-state lasers by Kerr self-focusing

V. L. Kalashnikov, V. P. Kalosha, V. P. Mikhailov, and I. G. Poloyko
J. Opt. Soc. Am. B 12(3) 462-467 (1995)