A theoretical analysis is presented of the active phase mode-locking in solid-state lasers when the refractive index frequency dispersion of intracavity elements is much higher than that of the gain. For such laser systems, the steady-state regime of generation of a Gaussian ultrashort pulse is found to be unstable due to excitation of other pulses with Gaussian-Hermitian envelopes. It is shown that this type of instability can be suppressed by placing into the laser resonator an inertial saturable absorber with sufficiently small nonlinear losses, which do not affect energy parameters of the laser emission.
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