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Computer-Based Analysis of Hologram Imagery and Aberrations. I. Hologram Types and Their Nonchromatic Aberrations

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Abstract

Numerical values are shown for the aberrations that are present in holograms which may be constructed and reconstructed from a plane wave or point source. This study centers on four types of hologram geometries: in-line, off-axis, near-image plane, and lensless-fourier transform. The aberrations illustrated in this paper have been caused by a spatial deviation of the reconstruction beam from the location where either an ideal aberration free virtual or real image is reconstructed. In addition to the above analysis of aberrations a close parallelism between the bending characteristics of lenses and the construction geometry of holograms is noted. This analogy between lenses and holograms illustrates the flexibility with which the aberrations of a hologram may be modified by changes in the recording geometry.

© 1971 Optical Society of America

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