We deduce the equation describing the refractive index perturbation in
photovoltaic photorefractive crystals produced by the incidence of a
focused laser beam and an incoherent uniform illumination. Under short
-circuit conditions the equation shows a saturable Kerr-type nonlinear
ity that can be controlled by the intensity of the uniform background
illumination. Z-scan experiments in an iron doped lithium niobate crys
tal are carried out using a 532 nm wavelength laser line to evaluate i
ts self-lensing properties and to measure its photovoltaic field.