Abstract: The electromagnetic scattering from the rough surface of the layered medium with plane wave incidence is investigated. The formula for the scattering coefficient for different polarizations is derived using the small perturbation method. A 1-D band-limited Weierstrass fractal rough surface is presented for describing the natural rough surface of the layered medium, and the formula of the scattering coefficient is derived in association with the power spectrum density of the 1-D band-limited Weierstrass rough surface. The angular distribution of the scattering coefficient of the HH polarization is obtained by numerical implementation, the influence of the fractal dimension, the special fundamental frequency, the scale interval, the permittivity of substrate medium, the permittivity and the mean layer thickness of intermediate medium, the root mean square of rough surface, and the frequency of the incident wave on the bistaticscattering coefficient is discussed. The fractal characteristics, the basic characteristics, the zonal characteristics and the characteristics with a varying frequency of the scattering coefficient from the 1-D band-limited Weierstrass fractal rough surface are obtained.

Key words: electromagnetic wave scattering, fractals, rough surface, layered medium, the small perturbation method