Abstract

A comprehensive formulation of hologram interferometry is modified to include the effects of beam modulation in the recording of a hologram. The result is a unified description of fringe loci and fringe localization that is valid for arbitrary object motions and arbitrary beam modulation. This result is used to discuss the effect of beam modulation on fringe loci and localization conditions for a wide variety of cases: where one time function is sufficient to describe the motion of all points on an object surface; where a combination of independent time functions is required; where a combination of dependent time functions is required; where phase modulation proportional to the time function of the object’s motion is introduced; and where an object may execute sinusoidal vibrations that must be added as phase vectors (phasor vibrations). Localization conditions are shown to have potentially useful properties, for example, to permit separate observation of independent object motions when they occur simultaneously.

© 1970 Optical Society of America

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