表面分形球、柱的光散射

分形和分维是近些年才兴起的一门处理复杂事物的新方法￣［１］。本文主要研究具有表面分形的球、柱的光散射特征。我们首先利用几何光学近似研究了一种表面满足自仿射原理的分形均匀球的散射，其散射特性与分维存在一定的关系。我们还利用微扰法讨论了表面具有沟槽的分形柱的光散射的分形特征。

Light scattering form fractal-shaped sphere and fractal-shaped cylinder

The surface irregularities of spheres and cylinders is modeled by fractal functions. We culculate the angular dependence of the light scattering intensity from fractal-shaped spheres with different fractal dimension in the framework of an ekinoal model． The results show that the angular dependence of the intensity scattered in the forward direction seems suit well between the smooth and the rough cases， but an increasing of backscattering intensity and strong oscillations become obviousiy as fractal dimension grows. We also in-vestigate light scattering from fractal-shaped cylinders using perturbation method with emphasis on scattering distribtition and fractal dimension. The oscillations of the scattering width will increase with short wavelength and big fractal dimension in the near backscattering.