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

We present numerical results for the intensity correlation function C({Δ}{λ}) (where {Δ}{λ} 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({Δ}{λ}LP) where P{→}2 for L{}20l (l is the elastic mean free path) and is reduced to P{}1.6 for L{}6l. We provide an analytic calculation for P which is in agreement with the numerical results. We have also calculated CE({Δ}{λ}), the electric-field--electric-field correlation function (for optical waves) and find that CE({Δ}{λ}){}C({Δ}{λ}) for {Δ}{λ}λ1/2 (where {Δ}λ1/2 is the value of {Δ}{λ} at the half width). For {Δ}{λ}>{Δ}λ1/2, C({Δ}{λ}) falls off more slowly and both correlations show an oscillatory behavior which is shown to arise from the finiteness of the sample.