  We present the results of full wave numerical simulations of light
transmission by layers of irregular dielectric particles that demonstrate 3D
Anderson localization of light in disordered uncorrelated discrete media. Our
simulations show that a high degree of disorder in a dense layer prevents
transverse spreading of a propagating beam and allows anomalous conservation of
its initial polarization state. A transition from the purely diffusive regime
to a non-exponential time dependence when reaching the Ioffe-Regel criterion is
observed in short pulse transmission measurements. The effect depends on the
turbidity of the layer: increasing the volume fraction and the refractive index
leads to the enhancement of the non-exponential behaviour caused by the
disorder in the medium which is a clear signature of Anderson localization.
