An equation describing the reconstructed holographic images of objects in any state of motion is obtained starting from consideration of the effect of motion on coherence. The equation explicitly shows the dependence of the reconstruction on both the total displacement and the form of the law of motion. Applications to the measurement of motion for the special cases of vibration, constant velocity motion, and their combination are presented together with several experimental results. In particular the theory is shown to be valid for both double exposure and time average exposure methods of displacement, distortion, and vibration analysis.
M. Zambuto and M. Lurie, "Holographic Measurement of General Forms of Motion," Appl. Opt. 9, 2066-2072 (1970)