Jm. Sturm et Jc. West, NUMERICAL STUDY OF SHADOWING IN ELECTROMAGNETIC SCATTERING FROM ROUGHDIELECTRIC SURFACES, IEEE transactions on geoscience and remote sensing, 36(5), 1998, pp. 1477-1484
A numerical study has been performed to examine the effects of surface
self-shadowing on the electromagnetic backscattering from dielectric
interfaces with two-scale roughness in one dimension. a hybrid numeric
al technique combining the moment method (MM) and geometrical theory o
f diffraction (GTD) was used in the numerical calculations. This techn
ique was first extended to be applicable to general dielectric media a
s well as perfectly conducting and highly conducting, high permittivit
y surfaces. The numerical calculations show that, for the one-dimensio
nal (1-D) rough surfaces considered, the contribution of shadow-region
roughness to vertically polarized backscatter decreases significantly
as the scattering surface is changed from perfect to finite conductiv
ity, while little change is observed at horizontal polarization. A geo
metrical optics (GO)-based shadowing function should be accurate down
to approximately the same illumination grazing angles at both polariza
tions with scattering surfaces with complex dielectric constants equal
to and below (in magnitude) that of sea water at microwave frequencie
s. At the smallest grazing angles, weakly shadowed roughness can signi
ficantly increase the backscatter from finite-conductivity surfaces at
both polarizations, thereby invalidating the concept of a distinct sh
adow boundary. Vertical polarization is further limited by the contrib
utions of deeply shadowed roughness that decreases with decreasing die
lectric constant. As the grazing angle decreases, the shadow-corrected
two-scale scattering model loses accuracy well before the contributio
n of the shadow-region roughness becomes significant.