A dense medium phase matrix developed based on the concept of random l
attice perturbation is employed in the radiative transfer theory to ca
lculate the co- and cross-polarized backscatter from a layer of random
ly distributed spherical scatterers. The position randomness propertie
s are characterized by the variance and correlation function of scatte
rer positions within the medium, The dense medium phase matrix differs
from the conventional one in two major aspects, i.e., there is an amp
litude and a phase correction, These corrections account for the effec
ts of close spacing and position correlation between scatterers in a d
ense discrete random medium. This study shows that phase coherency and
close-spacing amplitude modifications are two separate corrections ne
cessary for an electrically dense medium, Results indicate that there
is a need to distinguish between spatially and electrically dense medi
um, The phase correction is found to have a greater impact on cross-po
larized than like-polarized backscatter coefficients; the converse is
true of the amplitude correction, Backscattering calculations from the
theory are compared with measurements from controlled microwave exper
iments on random media consisting of closely packed spheres, and from
field measurements of dry snowpack. Predictions from such a theory agr
ee well with the measured data.