Journal ArticleDOI
Imaging and Magnification Properties in Holography
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TLDR
In this article, the second degree aperture terms in the wavefront aberration function are obtained for a general holographic system, no approximation being made for the inclinations of the reference waves in either the recording or the reconstruction.Abstract:
A formula, which is the equivalent of the law of refraction for a single refracting surface, is derived for the holographic case. The second degree aperture terms in the wavefront aberration function are obtained for a general holographic system, no approximation being made for the inclinations of the reference waves in either the recording or the reconstruction. These second degree terms are used to define the location of the image point. It is shown that, where the reconstruction reference wave differs appreciably from that used for the recording of the hologram, the image is not merely magnified or reduced, but is also anamorphotic. Formulae are derived for the azimuths of each of the principal sections and for the two magnifications in these sections. It is then possible to establish the nature of holographic image formation in the general case.read more
Citations
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Journal ArticleDOI
Higher order aberrations in holographic lenses.
TL;DR: It has been concluded that when the holograms are to be used as optical elements, fifth- and seventh-order aberrations should also be considered along with the third order to achieve ideal imagery as both the chromatic and nonchromatic aberration are quite large even when only small deviations from the recording geometry are present in the reconstruction step.
Journal ArticleDOI
Anamorphic imagery in holographic stereograms
TL;DR: In this paper, the authors calculated the anamorphic ratio, using geometrical optics, as a function of recording and viewing geometry, and presented an experimental example verifying the calculated results.
Journal ArticleDOI
Evaluation of the Wavefront Aberration in Holography
TL;DR: In this paper, a method is described, using exact ray-tracing, for calculating the wavefront aberration which arises from a change in geometry or wavelength between the recording and reconstructing processes, of a holographic image point, in the case of a plane hologram.
Journal ArticleDOI
Isoplanatism and holography
TL;DR: In this paper, the most general isoplanatism theorem is applied to holographic image formation; of the cases examined, a hologram on a spherical surface is shown to give ispotatism.
Journal ArticleDOI
The Imaging Properties and Aberrations of Thick Transmission Holograms
TL;DR: In this article, the amplitude and phase variations across the reconstructed wavefront of a thick transmission hologram were derived for the purpose of describing the field variations in the region of the Gaussian image point or alternatively.
References
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Journal ArticleDOI
Magnification and Third-Order Aberrations in Holography*
TL;DR: In this article, the authors derived formulas for angular, lateral, and longitudinal magnification in reconstructed images by holography (imaging by reconstructed wavefronts) and discussed conditions under which one or more of the aberration coefficients vanish, taking into account an off-axis angle of both reference and illuminating beam.
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Nonparaxial Imaging, Magnification, and Aberration Properties in Holography*
TL;DR: In this paper, the imaging, magnification, and aberration properties of the images formed from holograms were extended to the non-paraxial case, which can be used to locate accurately the position of an image point in cases where the paraxial theory fails.
Journal ArticleDOI
Geometrical Relationships Between the Original Object and the Two Images of a Hologram Reconstruction
TL;DR: In this paper, an analytical treatment for the general case of a hologram formed with a homocentric reference wave and re-illuminated with a second homocalentric wave is presented.