We present detailed calculations of the temporal and spatial evolution
of beam fanning in photorefractive crystals that is initiated by scat
tering from noise. We show that fanning starts from beam coupling betw
een the incident radiation and part of the incident radiation scattere
d by noise at or near the input plane. We show that scattering within
the volume of the crystal has negligible effect on fanning, that absor
ption affects the time response but not the spatial pattern of the fan
ning, and that the difference between calculations including only phas
e-matched terms and those including non-phase-matched terms is negligi
ble.