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Proceedings Paper

Spatial frequency analysis for the computer-generated holography of 3-D objects
Author(s): Tullio Tommasi; Bruno Bianco
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Paper Abstract

A method is described that uses a frequency analysis to calculate the wavefront of a diffracted light; a hologram is then produced starting from the generated light. If the Fresnel equation for diffraction is applied, one has to consider a 2-D object, or a 3-D set of cross-sections, to be parallel to the hologram plane. By considering the angular spectrum and its properties concerning translation and rotation, it is possible to calculate the light on a plane rotated with respect to the hologram. To this end, a theory on the angular spectrum has been used, and the rotation transformation has been pointed out. This approach can be applied to generate a synthetic hologram of a 3-D object, considering a 3-D object as a collection of planes translated and rotated in the space. The frequency analysis permits evaluation of the wavefront diffracted by the planes, thus obtaining the field on the hologram plane. The analysis is performed via FFT algorithms. Simple but significant holograms have been generated and a computer reconstruction has been carried out, confirming the validity of this frequency approach.

Paper Details

Date Published: 1 September 1991
PDF: 6 pages
Proc. SPIE 1507, Holographic Optics III: Principles and Applications, (1 September 1991); doi: 10.1117/12.47035
Show Author Affiliations
Tullio Tommasi, Univ. of Genova (Italy)
Bruno Bianco, Univ. of Genova (Italy)

Published in SPIE Proceedings Vol. 1507:
Holographic Optics III: Principles and Applications
G. Michael Morris, Editor(s)

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