Date of Award

Spring 1976

Document Type

Dissertation

Degree Name

Doctor of Engineering Science in Electrical Engineering

Department

Electrical Engineering

First Advisor

Mauro Zambuto

Second Advisor

W. H. Warren Ball

Third Advisor

Achilles E. Foster

Fourth Advisor

Jacob Klapper

Abstract

The effects of optical path perturbations occurring during recording on the reconstructed image of a hologram are investigated. It is shown that such variations of optical path are equivalent to conditions of holographic interferometry which can be classified in three categories: 1) object motion alone, 2) film motion alone, and 3) simultaneous film and object motion; all motions are defined with respect to the stationary reference source during the recording of the hologram.

The theory concerning the effects of object motion alone on the radiance distribution of a reconstructed holographic image has already been developed by previous researchers and is reviewed. This theory is extended to cover the other two above mentioned categories. Quasi-monochromatic conditions are assumed throughout. Experimental verification of the theory is presented for the cases of step object motion, step film motion, simultaneous step film and object motion, simultaneous staircase film and object motion, and simultaneous step film - staircase object motion.

Holographic recording conditions under which a step change in refractive index occurs in a slab of the medium separating the mechanically stationary object and film during the hologram recording are analyzed. It is shown that, within the assumptions of paraxial conditions and small optical path perturbations, these conditions are equivalent to the occurrence of a mechanical step film motion during the hologram recording.

Extension of this interpretation and of the resulting analysis technique to the study of the effects of turbulence in the optical path medium during recording on the reconstructed holographic image yields results in accordance with the predictions of conventional turbulence analysis techniques. Several promising applications of the new technique are indicated. These include simulation of turbulence under controlled conditions in the laboratory. In addition, application of the theory to the measurement of atmospheric turbulence distributions from holographic data is broadly indicated and some advantages of this novel approach over the present state of the art are enumerated.

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