A simplified method for electromagnetic scattering from periodic surface of lossy media

A simplified method is presented for the problem of electromagnetic scattering of a time-harmonic plane wave from a non-planar sinusoidal periodic surface of lossy media. Assume that the heights of the rough surface are much smaller than the wavelength of the incidence and the space periodic of rough surface. The diffraction of the incidence can be described by using the elementary Huygens principle. The reflected and the transmitted field approximated by a linear combination of plane waves having different wave vectors. Based the method, we can deduce the simple formulation of the reflected field at far suitable for engineering application.