Features of light scattering by surface fractal structures

The average coefficient of light scattering by surface fractal structures is calculated within the limits of the Kirchhoff method. A normalized band-limited Weierstrass function is presented for modeling 2D fractal rough surfaces. On the basis of the numerical calculation of the average scattering coefficient, scattering indicatrices diagrams are calculated for various surfaces and falling angles. An analysis of the diagrams leads to the following conclusions: the scattering is symmetric relatively to the plane of fall; the picture becomes complicated when the surface calibration degree is increased; the greatest intensity of a scattering wave is observed in the mirroring direction; there are other directions in which bursts of intensity are observed.