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26 September 1997Comparison of Harvey-Shack scatter theory with experimental measurements
Rayleigh-Rice or Beckmann-Kirchoff theories are commonly used to predict scatter results. However, in order to apply these theories in practice, inherent assumptions must be made that either limit the roughness of the surface under test or limit the predictions to small, paraxial incident and scatter angles. Various published reports show experimental scatter results and diffraction efficiencies that do not agree with these theories. One possible explanation for these discrepancies is that there is some confusion between whether the data being plotted is intensity or radiance. The quantity intensity is usually measured in the laboratory, not radiance. Using the Harvey-Shack theory, a Fourier linear systems theory based on using a surface transfer function, we show excellent agreement between experimental results and theoretical predictions. This holds true for scatter from rough surfaces as well as large scatter angles and angles of incidence.
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Cynthia L. Vernold, James E. Harvey, "Comparison of Harvey-Shack scatter theory with experimental measurements," Proc. SPIE 3141, Scattering and Surface Roughness, (26 September 1997); https://doi.org/10.1117/12.287792