Scalar Kirchhoff's model for light scattering from dielectric random rough surfaces

In this paper, the Kirchhoff scalar approach is investigated for scattering from rough dielectric surfaces. Our aim is to derive expressions simpler than in the vector formalism in order to introduce surface scattering in scalar problems or to simplify some complicated problems, for applications. In transmission, expressions similar to those for reflection are derived with a first-order development of the local normal component of the transmitted wavevector versus the slope. The variations of reflection and transmission coefficients with local angle of incidence are also introduced in our calculations. The domain of validity of the model is discussed. The predictions of our treatment are in good agreement with published data. In particular we give a correct account of interesting effects such as the attenuation of the refractive index contrast already observed by Nieto-Vesperinas et al. (C) 2002 Elsevier Science B.V. All rights reserved.