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We introduce a non-perturbative two scale Kirchhoff theory, in the context oflight scattering by a rough surface. This is a two scale theory which considersthe roughness both in the wavelength scale (small scale) and in the scales muchlarger than the wavelength of the incident light (large scale). The theory canprecisely explain the small peaks which appear at certain scattering angles.These peaks can not be explained by one scale theories. The theory was assessedby calculating the light scattering profiles using the Atomic Force Microscope(AFM) images, as well as surface profilometer scans of a rough surface, andcomparing the results with experiments. The theory is in good agreement withthe experimental results.Comment: 6 pages, 8 figure

Two-scale Kirchhoff theory: comparison of experimental observations with theoretical prediction