The spatiotemporal dynamics of Kerr-lens mode-locked lasers is described by means of equations of motion obtained from a variational ansatz. Included are dispersion and self-phase modulation as temporal, and diffraction and self-focusing as spatial, effects. The system has steady-state solutions considering only these energy-conserving effects. The Kerr-lens mode-locking (KLM) action and gain filtering can be considered a perturbation to this dynamics. By imposing suitable boundary conditions at the end mirrors, steady-state solutions can be obtained directly from the equations of motion. The approach is used for studying the steady-state dynamics of a KLM laser system. The variational results are compared with spatiotemporal simulation.
© 2003 Optical Society of America
(140.4050) Lasers and laser optics : Mode-locked lasers
(260.5950) Physical optics : Self-focusing
(320.5540) Ultrafast optics : Pulse shaping
(320.7110) Ultrafast optics : Ultrafast nonlinear optics
(350.5500) Other areas of optics : Propagation
Christian Jirauschek, Franz X. Kärtner, and Uwe Morgner, "Spatiotemporal Gaussian pulse dynamics in Kerr-lens mode-locked lasers," J. Opt. Soc. Am. B 20, 1356-1368 (2003)