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.