Wavelength intensity correlation functions for transmitted waves through a slab: Numerical results

We present numerical results for the intensity correlation function C() (where is the change in the wavelength) for transmitted waves, through a slab of width L, in the weak disorder limit. Our numerical results show that the correlation function scales as C(LP) where P2 for L20l (l is the elastic mean free path) and is reduced to P1.6 for L6l. We provide an analytic calculation for P which is in agreement with the numerical results. We have also calculated CE(), the electric-field electric-field correlation function (for optical waves) and find that CE()C() for <1/2 (where 1/2 is the value of at the half width). For >1/2, C() falls off more slowly and both correlations show an oscillatory behavior which is shown to arise from the finiteness of the sample.