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Spatiotemporal 3D Fourier transform evaluation of speckle interferogram sequences in double-pulsed TV holography

机译:双脉冲电视全息中斑点干涉图序列的时空3D傅里叶变换评估

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摘要

Phase evaluation based on the spatial Fourier transform of speckle interferograms usually assumes that the side lobes corresponding to the interferential terms in the Fourier spectrum of each interferogram do not overlap the terms related to the intensity of the object and reference beams. If this is not the case, a part the autocorrelation of the object beam is taken along with the selected interference term in the subsequent filtering process and induces an error in the resultant phase map. We present a technique for the acquisition and processing of speckle interferogram sequences that separates the interference lobes from the other spectral terms, even if the aforementioned assumption does not apply. A digital camera records a sequence of temporally phase-shifted interferograms with spatial carrier, and a 3D Fourier transform is applied to this set of spatiotemporal data. In the resultant three-dimensional spectrum, the temporal carrier shifts the central temporal frequency of the interferential terms to high frequencies. This minimizes their overlap with the autocorrelation of the object and reference beams, which are essentially located at low temporal frequencies. The spatial carrier prevents a possible overlap of broadband interferential terms along the temporal frequency axis. A filter that rejects the low temporal frequencies is applied to one of the lobes, and a sequence of complex-valued maps containing the optical phases of the interferograms is obtained. The measurement of surface acoustic waves propagating in a metallic plate, obtained with a double-pulsed TV holography setup, is presented to illustrate the method.
机译:基于散斑干涉图的空间傅立叶变换的相位评估通常假定与每个干涉图的傅立叶频谱中的干涉项相对应的旁瓣不与与物体和参考光束的强度有关的项重叠。如果不是这种情况,则在随后的滤波过程中将目标光束的自相关与所选干扰项一起考虑,并在所得相位图中引起误差。我们提出了一种用于散斑干涉图序列的获取和处理的技术,该技术将干扰波瓣与其他频谱项分开,即使上述假设不适用。数码相机记录了一系列带有空间载波的时间相移干涉图,并将3D傅里叶变换应用于这组时空数据。在所得的三维频谱中,时间载波将干扰项的中心时间频率移动到高频。这使得它们与基本上位于低时间频率的物体和参考光束的自相关的重叠最小化。空间载波防止宽带干扰项沿时间频率轴可能重叠。将拒绝低瞬时频率的滤波器应用于波瓣之一,并获得一系列包含干涉图光学相位的复数值图。提出了用双脉冲电视全息设置获得的在金属板上传播的表面声波的测量结果,以说明该方法。

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