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Magnification and Third-Order Aberrations in Holography

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Abstract

Formulas for angular, lateral, and longitudinal magnification in reconstructed images by holography (imaging by reconstructed wavefronts) are derived and discussed as a function of object–hologram distance, radii of spherical reference and illuminating wavefronts, wavelength ratio of reconstructing to recording radiation, and scale-change factor of the hologram. Expressions for third-order aberrations in the reconstructed wavefronts of point objects are given and conditions are established under which one or more of the aberration coefficients vanish, taking into account an off-axis angle of both reference and illuminating beam.

© 1965 Optical Society of America

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