An examination of soil particles from very fine to medium sand surface
s has indicated that they are generally on the order of 50 to 500 mu m
. Thus, at an incident wavelength around 0.6 mu m, the incident light
should ''see'' microscopic roughness features on the particle rather t
han its macroscopic features. It is anticipated that the macroscopic f
eatures of a soil particle are responsible for the shadowing and tilti
ng. Note that these smaller scales of roughness may still be larger th
an the incident wavelength. In view of this physical structure, a soil
particle is modeled as a layer with two arbitrarily oriented surface
boundaries to simulate the overall roughness effect, A scattering phas
e function is then developed for this layer by considering wave scatte
ring from and propagating through it. A probability distribution funct
ion for the orientation of the layer boundaries is assumed for the cal
culation of this phase function, After the phase function is developed
, it is incorporated into a matrix doubling algorithm to calculate the
backscattering coefficients for a half space of soil particles. Preli
minary results indicate that backscattering is dominated by the small
scales of roughness riding on the particle, and those large scales of
roughness are responsible for tilting and shadowing.