A. Bulatov et al., STATISTICAL PROPERTIES OF THE CUMULATIVE PHASE OF ELECTROMAGNETIC-RADIATION TRANSMITTED THROUGH A WAVE-GUIDE WITH RANDOM SCATTERERS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(3), 1998, pp. 3574-3578
We calculate the probability distribution function and the average of
the cumulative phase of electromagnetic radiation transmitted through
the waveguide with randomly positioned dielectric scatterers. The aver
age phase exhibits a crossover from linear to power-law behavior as a
function of frequency. A detailed comparison with experimental results
is made and a good agreement is found. Our results are consistent wit
h the well-known observation that the scattering mean free path is of
the order of the size of scatterers.