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Diffraction-Limited, Scalar Image Formation with Holograms of Arbitrary Shape

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Abstract

A theory of image formation is presented for a large-angle, point reference hologram, whose recording arrangement consists of a surface of arbitrary shape, a point reference source, and the object. The hologram is illuminated by a spherical wave during reconstruction. The resulting image field is similar to that of a Fourier-transform hologram. An exact, integral formulation of monochromatic, scalar diffraction theory is used to find the image field. The hologram is modeled by surface sources determined from the irradiance of the recorded field. The image field produced by the holographic system approximates the field produced by the ideal system, which forms the image of a point object by launching a converging, spherical wave.

© 1970 Optical Society of America

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