ِAngular distribution of a scattered field

AI Thread Summary
The discussion focuses on analyzing the angular distribution of a scattered field from a rough surface. The user inquires about using field distribution to derive the angular distribution of scattered fields and how to project this onto plane waves. It is noted that the surface behaves specularly at low grazing angles, with the transition point defined by the Rayleigh Roughness criterion, where the RMS height of surface irregularities is less than lambda/(8 x cos Theta). The angle of incidence, Theta, is crucial in this analysis. The conversation emphasizes the relationship between surface roughness and scattering behavior, highlighting the importance of understanding these dynamics in wave reflection studies.
Ahmed123
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I study the reflection from a rough surface and get the field as the attached figure
my question
can I use the field distribution to get the angular distribution of the scattered field and how can I project the field to plane waves?
 

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Re your last question, for a given reflected ray, the wave vibrates at right angles to the direction of travel.
 
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