We derive a nonlinear wave equation for a signal beam which is coupled to a
pump beam by two-wave-mixing in a photorefractive crystal. This equation d
escribes self-focusing of the signal beam. We compare two-wave-mixing induc
ed spatial self-focusing of single-pass experiments in a diffusion-type pho
torefractive crystal and of a photorefractive oscillator using the same cry
stal. We observe that the nonlinear refractive index change in the oscillat
or is decreased while increasing resonator losses.