ELECTROMAGNETIC WAVES THROUGH DISORDERED SYSTEMS: COMPARISON OF INTENSITY, TRANSMISSION AND CONDUCTANCE

摘要

We obtain the statistics of the intensity, transmission and conductance for scalar electromagnetic waves propagating through a disordered collection of scatterers. Our results show that the probability distribution for these quantities x, follow a universal form, Y_U(x) = x~ne~(-x~μ) . This family of functions includes the Rayleigh distribution (when α=0, μ=1) and the Dirac delta function (α →+ ∞), which are the expressions for intensity and transmission in the diffusive regime neglecting correlations. Finally, we find simple analytical expressions for the n~(th) moment of the distributions and for to the ratio of the moments of the intensity and transmission, which generalizes the n! result valid in the previous case.