We show, that the unbalanced bi-directional passive self-injection permits to obtain a pulsed unidirectional operation at the reference atomic absorption line in a ring Ar pumped Ti3:Al2O3 laser with a repetition rate of order of iO-iO Hz. The model used for the description of this type of laser is based on the adaptation of the rate equations system. By computer simulation, the dependence for the repetition rate from the laser parameters and the switching time is obtained.