Approximating Haze in Reflection - Approximate expressions for two-dimensional randomly rough surfaces

Abstract

We give a definition of haze in reflection from two-dimensional surfaces and study this quantity for Gaussian randomly rough surfaces. A simplified model of light scattering, assuming a scalar incident plane wave, the Kirchhoff approximation and an impenetrable surface is used as a basis. Using this model, we are able to derive relatively simple approximate analytical expressions for haze. Haze is studied with and without these approximations for exponential- and Gaussian correlation functions, and we find that the approximate expressions are accurate. The model gives results comparable the to scattering of unpolarized light from a perfectly conducting surface given that we only look at the total scattered intensity and that the surface roughness is not too high.