Study of the relationship between fractal surface's roughness and light scattering

One-dimensional surfaces are produced by Weierstrass-Mandelbrot Function. Light scattering characteristics of these surfaces are studied under the condition of geometrical optics. It is found that surfaces with large fractal dimension D, which were thought to be more ragged, have a sharper scattering distribution than those with small D. Explanation of this result is also presented.