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Laser-speckle angular-displacement sensor: theoretical and experimental study

机译：激光散斑角位移传感器：理论和实验研究

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A novel, to our knowledge, method for the measurement of angular displacement for arbitrarily shaped objects is presented in which the angular displacement is perpendicular to the optical axis The method is based on Fourier-transforming the scattered field from a single laser beam that illuminates the target. The angular distribution of the light field at the target is linearly mapped on a linear image sensor placed in the Fourier plane. Measuring this displacement facilitates the determination of the angular displacement of the target. It is demonstrated beth theoretically and experimentally that the angular-displacement sensor is insensitive to object shape and target distance if the linear image sensor is placed in the Fourier plane. A straightforward procedure for positioning the image sensor in the Fourier plane is presented. Any transverse or longitudinal movement of the target will give rise to partial speckle decorrelation, but it will not affect the angular measurement. Furthermore, any change in the illuminating wavelength will not affect the angular measurements. Theoretically and experimentally it is shown that the method has a resolution of 0.3 mdeg (≈5 μrad) for small angular displacements, and methods for further improvement in resolution is discussed. No special surface treatment is required for surfaces giving rise to fully developed speckle. The effect of partially developed speckle is considered beth theoretically and experimentally. # 1998 Optical Society of America OCIS codes: 030.6140, 120.6150, 120.6160.
机译：据我们所知，提出了一种新颖的测量任意形状物体的角位移的方法，其中角位移垂直于光轴。该方法基于傅立叶变换来自单个激光束的散射场，该光束照亮了目标。目标上光场的角度分布线性映射到放置在傅立叶平面中的线性图像传感器上。测量该位移有助于确定目标的角位移。理论上和实验上都证明，如果将线性图像传感器放置在傅立叶平面中，则角位移传感器对物体形状和目标距离不敏感。提出了一种将图像传感器定位在傅立叶平面中的简单方法。目标的任何横向或纵向移动都会引起部分斑点去相关，但不会影响角度测量。此外，照明波长的任何变化都不会影响角度测量。从理论上和实验上表明，该方法对于小角度位移具有0.3 mdeg（≈5μrad）的分辨率，并讨论了进一步提高分辨率的方法。对于产生充分散斑的表面，不需要特殊的表面处理。理论上和实验上都认为部分散斑的影响。 ＃1998美国光学学会OCIS代码：030.6140、120.6150、120.6160。

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