An extension of the ray-pulse matrix formalism is presented that includes self-phase-modulation, self-focusing, bandwidth limitations, and Gaussian apertures. With this more complete set of matrices it is shown how self-mode-locked lasers can be modeled and how the different pulse-shaping mechanisms interact in order to provide a stable femtosecond output.
© 1992 Optical Society of America
Original Manuscript: March 9, 1992
Published: September 1, 1992
Oscar E. Martínez and Juan L. A. Chilla, "Self-mode-locking of Ti:sapphire lasers: a matrix formalism," Opt. Lett. 17, 1210-1212 (1992)