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在过去的几十年里，电磁波在粗糙表面（海平面、粗糙地形、海岸线等）的散射问题在理论上和应用上都得到了长足的发展．在过去的研究中，常常用确定的周期函数和随机函数来作为粗糙表面的数学模型．分形几何的产生和应用为此提供了新的工具．因为分形函数同时具有在大尺度上的有序和小尺度上的无序，所以可以方便地描述确定函数和函机函数或者是这二者适当的组合函数．在这篇论文中，我们采用分形函数来描述粗糙平面，以此为基础来分析和研究电磁波与粗糙面的相互作用．
In the past few decades, the electromagnetic wave scattering on rough surfaces (sea level, rough terrain, coastline, etc.) has been greatly developed both theoretically and practically. In the past studies, it was common to use well-defined periodic and random functions as mathematic models of rough surfaces. The emergence and application of fractal geometry provide new tools for this purpose. Because fractal functions have both order and small-scale disorganization on a large scale, it is convenient to describe the determination function and the function of the letter box or a combination of these two as appropriate. In this paper, we use the fractal function to describe the rough plane, based on which we can analyze and study the interaction between the electromagnetic wave and the rough surface.