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Fourier optics analysis of grating sensors with tilt errors

机译:具有倾斜误差的光栅传感器的傅立叶光学分析

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Dynamic diffraction gratings can be microfabricated with precision and offer extremely sensitive displacement measurements and light intensity modulation. The effect of pure translation of the moving part of the grating on diffracted order intensities is well known. This study focuses on the parameters that limit the intensity and the contrast of the interference. The effects of grating duty cycle, mirror reflectivities, sensor tilt and detector size are investigated using Fourier optics theory and Gaussian beam optics. Analytical findings reveal that fringe visibility becomes <0.3 when the optical path variation exceeds half the wavelength within the grating interferometer. The fringe visibility can be compensated by monitoring the interfering portion of the diffracted order light only through detector size reduction in the expense of optical power. Experiments were conducted with a grating interferometer that resulted in an eightfold increase in fringe visibility with reduced detector size, which is in agreement with theory. Findings show that diffraction grating readout principle is not limited to translating sensors but also can be used for sensors with tilt or other deflection modes.
机译:动态衍射光栅可以精确地微制造,并提供非常灵敏的位移测量和光强度调制。光栅的移动部分的纯平移对衍射级强度的影响是众所周知的。这项研究的重点是限制干扰强度和对比度的参数。利用傅立叶光学理论和高斯光束光学技术研究了光栅占空比,镜面反射率,传感器倾斜度和探测器尺寸的影响。分析结果表明,当光程变化超过光栅干涉仪内波长的一半时,条纹的可见度变为<0.3。条纹可见度可以通过仅通过减小光功率的消耗来减小检测器尺寸来监视衍射级次光的干涉部分来补偿。使用光栅干涉仪进行的实验使条纹可见度增加了八倍,而探测器尺寸却减小了,这与理论相符。研究结果表明,衍射光栅的读出原理不仅限于平移传感器,还可以用于具有倾斜或其他偏转模式的传感器。

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