E. Bahar et X. Shi, THE SCATTERING AND DEPOLARIZATION OF ELECTROMAGNETIC-WAVES BY RANDOM ROUGH SURFACES WITH DIFFERENT SCALES OF ROUGHNESS - NEW FULL-WAVE SOLUTIONS, International journal of remote sensing, 19(11), 1998, pp. 2171-2185
A new unified full-wave approach is used to determine the like and cro
ss polarized cross sections of composite random rough surfaces with si
gnificantly different scales of roughness. Traditionally, the solution
s for such composite rough surfaces are expressed as sums of solutions
based on the perturbation and the physical optics approaches. The ful
l-wave solutions account for both specular point scattering and Bragg
scattering in a unified, self-consistent manner. With the new unified
full-wave approach, the incoherent radar cross sections are obtained b
y regarding the composite (multiple scale) rough surface as an ensembl
e of individual large scale scattering elements (patches) with arbitra
ry orientations. Thus the scatter cross sections, obtained from the or
iginal full-wave solution in a tilted co-ordinate system, are averaged
over the large scale slopes (in and perpendicular to the plane of inc
idence) to obtain the cross sections of the composite surfaces. The ro
ugh surface height joint probability density function is assumed to be
Gaussian.