Abstract
We have developed a numerical model of Kerr-lens mode-locking (KLM) that includes astigmatism, non-linear coupling and gain-guiding. Under the current approximations of the model, gain-guiding decreases the value of the hard-aperture mode-locking parameter δ = ( 1 w )( dw dp )| p = 0 . The model also allows one to study the effect of elliptical astigmatic pump beams, typically encountered in diode pumped laser systems, as the position of the pump beam waist is moved within the gain medium.
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