Like and cross polarized cross sections for two dimensional random rough surfaces: bistatic single and double scatter

Full wave solutions for the single and double scatter radar cross sections from two dimensional random rough surfaces are given. The solutions are expressed as multidimensional integrals. The high frequency approximations are used to reduce the double scatter integrals from twelve to four dimensional. The single scatter cross section is given in closed form. The large radius of curvature approximation is used. The incident waves are assumed to be plane waves. The effects of changing the rough surface parameters, such as mean square height and mean square slope, on the double scatter cross sections are studied. The level and width of the peak in the backscatter direction depend on the mean square height and slope of the rough surface. The numerical results show sharp enhancement in the backscatter directions. This sharp backscatter enhancement, which is observed for all polarizations and for both normal and oblique incident angles, is associated with the quasi antiparallel double scatter paths