BIDIRECTIONAL REFLECTANCE OF GAUSSIAN RANDOM SURFACES AND ITS SCALINGPROPERTIES

Using rigorous probabilistic techniques we define and compute the shad owing factor, the conditional mean slope and the conditional standard deviation of the slope for a random rough surface described as an isot ropic Gaussian stochastic process with Gaussian autocorrelation functi on. We USE these quantities in order to obtain the bidirectional refle ctance distribution function for incoherent light scattering by rough surfaces. The calculated quantities depend on reduced, affine invarian t parameters, such that changing roughness is equivalent to rescaling the slopes of incident and emergent direction. We discuss some possibl e applications of these scaling properties to remote sensing.