The non-astigmatic three-element cavity Ti:sapphire laser is attractiv
e because of its simple and compact stable resonator structure. Analyt
ical equations for Kerr nonlinear pulse-shaping strengths are derived
by using the ABCD transfer matrix method, Both hard-aperturing and sof
t-aperturing for effective Kerr-lens mode-locking are discussed. The d
ependence of the mode-locking condition on cavity length is also addre
ssed. (C) 1997 Elsevier Science B.V.