M. Rusek et A. Orlowski, EXAMPLE OF SELF-AVERAGING IN 3 DIMENSIONS - ANDERSON LOCALIZATION OF ELECTROMAGNETIC-WAVES IN RANDOM DISTRIBUTIONS OF POINT-LIKE SCATTERERS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(5), 1997, pp. 6090-6094
A simple yet realistic theoretical model is used to study Anderson loc
alization of electromagnetic waves in three-dimensional disordered die
lectric media. The preliminary results presented in our previous paper
[M. Rusek, A. Orlowski, and J. Mostowski, Phys. Rev. E 53, 4122 (1996
)] are substantially extended and a sound physical interpretation is p
roposed. Very striking universal properties of the spectra of random m
atrices describing the scattering from a collection of randomly distri
buted pointlike scatterers are discovered. The appearance of the band
of localized electromagnetic waves, emerging in the limit of an infini
te system, is numerically observed.