Abstract: The 1-D fractal rough surface is simulated by employing the 1-D normalized band-limited Weierstrass function, the electromagnetic scattering in medium 2 under a rough surface is investigated and the formulae for the transmission coefficients for different polarizations are presented according to the Small Perturbation Method by considering the autocorrelation function and spectrum of the fractal surface. The fractal characteristics, the basic characteristics, the zonal characteristics and the characteristics with the variation with the frequency of the transmission coefficient from the 1-D band-limited Weierstrass fractal rough surface for different polarizations are obtained by numerical calculation. The numerical results show that the influence of the fractal dimension, the rms of rough surface and the incident frequency on the transmission coefficients of the fractal surface is great and obvious, and in case that other conditions are stationary, the fractal dimension, the rms of rough surface and the incident frequency would be greater, and the transmission coefficient would also be greater.

Key words: electromagnetic scattering, 1-D band-limited Weierstrass fractal rough surface, the small perturbation method, transmission coefficient