A new phenomenon associated with a nonlinear interaction of optically excit
ed space charge waves has been discovered in photorefractive crystals of th
e sillenite family. This interaction provides a spatial rectification of th
e electric field of the space charge waves and leads to a temporally oscill
ating, but spatially homogeneous electric field of the order of 50-60 V/cm
which is detected by a probe beam via the electro-optic effect. Taking into
account that the displacement current plays an important role, we demonstr
ate a very good agreement between the experimental data and the suggested t
heoretical model.