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Summary form only given. The cavities of laser oscillators can be formed by holographic gratings induced in a nonlinear active medium by generating optical beams themselves. The possibility of realizing a laser with a ring cavity formed by the gain grating in the laser crystal was discussed recently. A simple scheme of the self-starting ring laser can be realized using the refractive-index grating that accompanies the grating of population in the Nd:YAG laser crystal. In this report we present the results of our experimental and theoretical investigation of the self-starting double-phase conjugate laser with the ring cavity formed by the resonantly induced refractive-index grating.