We present numerical simulations of laser mode-locking using a spatio-temporal master equation. We look at active mode-locking using an amplitude modulator and compare the results with those found using a phase modulator. We find gaussian pulses and stability conditions consistent with the Kuizenga-Siegman theory of mode-locking. We then add a Kerr medium to the cavity and examine the effect this has on the mode-locking process, the stability, and the shape of the final pulses. We find that the pulses are significantly compressed in both space and time, and the profiles become more sech-like.
©1998 Optical Society of America
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