一维带限Weierstrass分形粗糙面电磁散射的微扰法研究

运用微扰法研究了平面波入射粗糙面的电磁散射问题。采用一维Weierstrass分形粗糙面模拟实际的粗糙面,结合其功率谱密度导出了散射系数计算公式;通过数值计算得到HH极化状态下散射系数的角分布曲线,讨论了分维、标度区间、空间基频、粗糙面高度起伏均方根以及入射波频率的变化对散射系数的影响;得到了平面波入射一维带限Weierstrass分形粗糙面散射系数的分形特征、基本特征、分区特征和随频率变化的特征。

Electromagnetic Scattering from 1D Band Limited Weierstrass Fractal Rough Surface Using the Small Perturbation Method

The electromagnetic scattering from the rough surface with the plane wave incident is studied using the small perturbation method,the actual rough surface is simulated with l D band limited weierstrass fractalrough surface,the formula of the scattering coefficient is derived combined with the power spectral density of the 1D band limited fractal rough surface. The angular distribution of the scattering coefficient of HH polarization isobtained by numerical implementation. The influence of fractal dimension,the dimension interzone,the spatial fundamental frequency,the RMS of rough surface fluctuation and the frequency of the incident wave on the scattering coefficient is discussed. The fractal characteristics,the basic characteristics,the zonal characteristics and the characteristics with varying of incident wave frequency of the electromagnetic scattering from the l D band limited weierstrass fractal rough surface are obtained.