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Application of holographic subtraction to time-average hologram inteferometry of vibrating objects.

Time-average hologram interferometry provides a very useful and accurate method for studying vibrating objects. Besides eliminating the need for sensing elements in contact with the object, it has the advantage that the shape and surface finish of the object are unimportant, and the variations of the vibration amplitude over the entire object can be obtained from a single hologram exposure. With the hologram recording geometry of Fig. 1, provided the exposure time is long compared to the period of vibration, it can be shown that a'(x,y), the complex amplitude of the reconstructed image of an object point (x,y) vibrating sinusoidally with a peak vibration amplitude m (x,y), can be written as