Half-width of intensity profiles of light scattered from self-affine fractal random surfaces and simulational verifications.
Half-width of intensity profiles of light scattered from self-affine fractal random surfaces and simulational verifications.
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DOI：
10.1103/physreve.65.061104
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发表时间：
2002-06
期刊：
影响因子：
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通讯作者：
Chuan-fu Cheng;Chunxiang Liu;Shuyun Teng;Ningyu Zhang;Man Liu
中科院分区：
文献类型：
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作者：
Chuan-fu Cheng;Chunxiang Liu;Shuyun Teng;Ningyu Zhang;Man Liu
基于傅里叶变换的半宽与对称一次衰减函数的半宽成反比的事实，研究了自仿射分形随机表面散射光在整个k(垂直)区域的强度剖面的半宽。主要函数的傅立叶变换是强度分布，通过使它们的半宽度和最大值相等，用简单的数学衰减函数来近似。在散射粗糙度因子非常小或非常大的两种极端情况下，针对散射强度分布的半宽度获得的表达式简化为目前的结果。为了进行完整的验证，我们对光散射进行了模拟，其中使用类似于激光散斑形成的算法生成自仿射分形随机表面。模拟结果与理论结果吻合良好。
Based on the fact that the half-width of the Fourier transform is inversely proportional to that of a symmetrical primary decay function, the half-width of the intensity profiles of light scattered from self-affine fractal random surfaces in the whole k( perpendicular ) region is studied. The primary function, whose Fourier transform is the intensity profile, is approximated with a simple mathematical decay function by equating their half-widths and maximums. The expression obtained for the half-width of the scattered intensity profiles reduces to the present results in the two extreme cases with the scattering roughness factors being either very small or very large. For a complete verification, we perform a simulation of the light scattering, in which self-affine fractal random surfaces are generated with an algorithm that is an analogy to the formation of laser speckles. The simulated and theoretical results conform well.