We analyze the performance of a a:sapphire self-mode-locked laser with
near-zero second- and third-order dispersion. Our simulations show th
at, in the presence of fourth-order dispersion, solitary laser pulses
can be supported within a wide parameter range, close to the experimen
tal values of these parameters. We also conclude that it is possible t
o generate pulses much shorter than 10 fs if fourth-order dispersion i
s further reduced.