AStudy of anisotropic speckle patterns by rough cylindrical surfaces
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摘要: 分析了高斯光束照射微粗糙圆柱在菲涅尔衍射区形成的散斑图像统计特性，给出了强度起伏自相关函数与表面曲率及粗糙程度等参数之间的关系。根据强度起伏自相关函数的离散化定义，实验并计算了圆柱轴向与径向结构有差异情况下的散斑强度起伏相关函数。结果表明，对于C1和C2圆柱沿垂直于圆柱轴向的散斑尺寸变长，强度起伏自相关函数沿平行和垂直于圆柱轴两个方向的波动相差较大；对于C3和C4圆柱两个方向上的散射特性基本相同；测量C1和C3的结果表明,散斑尺寸和形状依赖于圆柱表面的皱褶和圆柱表面曲率两个因素。研究结果对于如柱型管道、轴承等方面的机械制造的质量控制有重要的应用价值。Abstract: The statistical properties of the speckle image from slightly rough cylindrical surfaces in the Fresnel diffraction field are researched. The relation between the correlation function of intensity fluctuations and cylindrical curvature and surface roughness parameter is derived. According to the discretization definition of its intensity fluctuations, the correlation function is obtained in theory and experiment when there is structure difference in radial and axial direction of the cylinder. It is shown that the light speckles are elongated in the direction normal to the cylinder axis for C1,C2, and that the fluctuation of correlation function intensity are differed in the directions parallel and perpendicular to cylindrical axis; the scattering characteristics of the two directions are basically the same for C3,C4. Further experiments show the dimensions of light speckles depend on both the surface roughness and the surface curvature. The result can be used in machinery manufacturing quality control such as column type pipelines, bearing etc.
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Keywords:
- slightly rough cylinder /
- speckle image /
- correlation function
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