采用蒙特卡罗数值模拟,生成不同分维数和不同均方根斜率的一维带限分形粗糙面.利用射线追踪法得到了带限分形粗糙面单次散射遮蔽函数随入射角变化的曲线,分析了不同分维数、不同均方根斜率对分形粗糙面遮蔽函数的影响.比较了均方根斜率相同时带限分形粗糙面与高斯随机粗糙面遮蔽函数随入射角变化的曲线,结果表明分维数取不同值时,带限分形粗糙面与高斯随机粗糙面遮蔽函数随入射角变化的曲线基本一致.
One-dimensional band-limited fractal rough surfaces with different fractal dimensions and different root-mean-square(RMS) slopes are created by Monte Carlo simulation.The curves of the single scattering shadowing function of the band-limited fractal rough surface with varying of the incident angle are obtained by utilizing a ray-tracing algorithm;the influence of different fractal dimensions and different RMS slopes on the fractal surface shadowing function is analyzed.The curve of the shadowing function with varying of the incident angle for the fractal surface and Gaussian rough surface is compared with same RMS slope.The results show that the curves of the shadowing function for the fractal surface with different fractal dimensions and three Gaussian rough surfaces are basically same.