SELF-MODE LOCKING OF 4-MIRROR-CAVITY SOLID-STATE LASERS BY KERR SELF-FOCUSING

With the help of the self-consistent ABCD matrix method, the fundament al TEM(00) mode of a four-mirror cavity with an active rod and a hard aperture is analyzed. Cavity parameter ranges with small diffraction l osses at the hard aperture and decreased diffraction losses for mode i ntensities increased by self-focusing in the active medium (that is, r anges of fluctuation discrimination) are determined for practical Kerr -lens mode-locked Ti:sapphire lasers. To do this we have obtained the generalized solution of the wave propagation equation in a self-focusi ng medium for an arbitrary-radius-of-curvature phase front of an incid ent Gaussian beam, and we have analyzed the transformation of the fund amental mode by diffraction and intracavity elements for one complete round trip through the cavity. The fluctuation model of self-mode-lock ed lasers is used to demonstrate the generation of a stable ultrashort pulse train by the system under constant pumping for the obtained cav ity parameters. The correlation among the cavity parameters for effect ive mode locking and fluctuation discrimination for cw and impulse fla sh-lamp pumping is shown.