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Application of the digital shearing method to extract three-component velocity in holographic particle image velocimetry

We have recently proposed a new method to extract the three-dimensional (3D) velocity vector data from double-exposure holographic particle image velocimetry (HPIV), which we call the digital shearing method. In contrast to the full 3D correlation, it has been shown that all three components (3Cs) of particle image displacement can be retrieved using six two-dimensional fast Fourier transform operations and appropriate coordinate transformations. In this paper we demonstrate the capabilities of this approach on actual HPIV data. The holographic recording method described uses an imaging system to record a hologram of high numerical aperture using a conventional 35 mm film. The holograms are digitized and particle images are reconstructed numerically. From particle images reconstructed from separate holograms, we illustrate the analysis process by computing the 3Cs of particle image displacement in a step-by-step manner.