A statistical model based on the geometric optics approximation for predict
ing wave scattering from random rough surfaces is developed. This model use
s statistical concepts. rather than bundle tracing employed in the geometri
c optics approximation. This model includes first-, second- and higher-orde
r scatterings. Shadowing effects are included, and the model can be express
ed in a closed form. For one-dimensional random rough surfaces, the statist
ical model is quantified by comparisons with the exact electromagnetic theo
ry calculations, and the results are in good agreement for surfaces with a
surface slope less than unity. For two-dimensional random rough surfaces, t
he approximate results are compared with the existing experimental findings
and electromagnetic theory calculations. The statistical method is a compu
tationally inexpensive wave scattering approach for surfaces with a surface
slope less than 0.5, and the method can approximate the magnitude and the
trend for surfaces with a surface slope greater than 0.5. (C) 2001 Elsevier
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