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21 December 1994 Rough-surface scattering at low grazing angles
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Sliding wave propagation over a sloping rough surface considered. Well-known Kirchoff approximation has some drawbacks. We can't consider rereflection from surface by this method. It is impossible to investigate a boundary of applicability of this method. In the case of the low grazing angles we can use the Parabolic equation. Procedure that reduces some boundary value problem for Parabolic equation to Cauchy problem was suggested by A.I.Saichev and V.N.Koshelev. We find exact solution of last problem in the form of Path Integral. The calculation of this Integral exactly is very difficult problem. We can calculate the Path Integral on the base of short wave approximation applying stationary phase method. Now we have approximate solution, which gives us opportunity to take into account a second- order (or more) reflection and consider a boundary of applicability of this approximation. The amplitude coefficients from our approximation described the reflection from surface with curvature in comparison with the reflection from tangent plane in Kirchoff approximation. Numerical results are illustrate an example of our approach application for the case of periodic surface. Some effects of scattering are considered.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Konstantin V. Koshel "Rough-surface scattering at low grazing angles", Proc. SPIE 2312, Optics in Atmospheric Propagation and Random Phenomena, (21 December 1994);

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