Probability distribution of transmission coefficients of plane waves through random stack medium

Investigations are carried out on the averages and histograms of squared absolute values of transmission coefficients of plane waves through a random stack medium for various wavenumbers of incident beams by numerical calculation without any approximations. The histograms for small wavenumber are found to be consistent with the results derived from the perturbation theory, although that for large wavenumber can be interpreted as a superposition of some histograms, each of which originates from different aspects of spatial correlation of the random medium. These results were confirmed only after continuous observation of histograms with changes in the incident wavenumber.