The dynamics of few femtosecond pulse in a Kerr-lens mode-locked laser from full space-time domain simulations

The Kerr-lens mode locking lasers is known suitable for generation of few femtoseconds pulses. In this paper, we have developed full spatio-temporal numerical model of Kerr-lens mode-locked laser based on the wave equation for field envelope taking into account the space-temporal coupling. We present a detailed analysis of different regimes of oscillations of Ti:Sapphire laser. The stability region, quasilocking regimes caused by transverse mode beating, different kind of pulse train instabilities are demonstrated. The dispersion, cavity arm lengths, round-trip gain necessary for stable producing of shortest pulses are presented.