Abstract

There are many models for Kerr lens mode-locking (KLM).^1,2 Our previous analysis on a ring resonator containing a Kerr lens and Gaussian aperture showed that the intensity dependence of the gain is small when the Kerr lens is placed at a reciprocal point in the cavity (Fig. 1).³ We have developed an equation capable of describing lasers with a nonreciprocally located Kerr lens—essential for Kerr lens mode-locking. This is a mean-field, or master, equation. In a single equation it describes transverse effects (necessary for KLM), dispersion (necessary for pulse-shaping), and slow dynamics (necessary for start-up and stability analysis).

© 1994 IEEE