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Influence of Photographic Film on Wavefront Reconstruction. II: “Cylindrical” Wavefronts

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Abstract

This paper is a continuation of an article dealing with the effect of the finite grain size of the photographic film on holography but for cylindrical wavefronts instead of plane wavefronts. It is shown that the imagery is as if the hologram were recorded with a mask of unit transmittance in the center and attenuating to zero at either side with a functional dependence given by the optical-diffusion modulation-transfer function of the film. The position of the mask depends on the apparent position of the line source from which the reference beam originates. The image is in a plane that appears to be the original object plane, but with the image shifted laterally over a distance determined by the angle between the reference beam and the image-carrying bundle. The image has a magnification which depends on the wavelengths used in taking the hologram and reconstructing the image, as well as by the axial location of object and image measured from the hologram plane. It is shown that it is possible to choose anywhere between maximum resolution and maximum field of view, by using the appropriate radius of curvature for the reference beam.

© 1966 Optical Society of America

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