BANDS OF LOCALIZED ELECTROMAGNETIC-WAVES IN 3D RANDOM-MEDIA

Anderson localization of electromagnetic waves in three-dimensional di sordered dielectric structures is studied using a simple yet realistic theoretical model. An effective approach based on analysis of probabi lity distributions, Rot averages, is developed The disordered dielectr ic medium is modeled by a system of randomly distributed electric dipo les. Spectra of certain random matrices are investigated and the possi bility of appearance of the continuous band of localized waves emergin g in the limit of an infinite medium is indicated. It is shown that lo calization could be achieved without tuning the frequency of monochrom atic electromagnetic,waves to match the internal (Mie-type) resonances of individual scatterers. A possible explanation for the lack of expe rimental evidence for strong localization in 3D as well as suggestions hole to make localization experimentally feasible are also given. Rat her peculiar requirements for setting in localization in 30 as compare d to 2D are indicated.