The self-consistent ABCD method is used to analyse the fundamental eig
enmode of a four-mirror cavity with an active element and an aperture.
Practical titanium-activated lasers with Kerr-lens mode locking are c
onsidered. The ranges of the cavity parameters are found in which the
diffraction losses on an aperture are small and decrease with increase
in the cavity held intensity as a result of self-focusing. These para
meters of a four-mirror cavity are used to demonstrate that the invest
igated mechanism of discrimination of the radiation fluctuations shoul
d make it possible to generate a stable train of ultrashort pulses und
er conditions of cw and pulsed flashlamp pumping.