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Proceedings Paper

Observation of reflection holograms
Author(s): Sergei P. Vorobjov
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Paper Abstract

Considered within the limits of paraxial off-axis approximation is the image calculation technique where the image is reconstructed by the reflection hologram taking into account the position of the point of observation. Shown is the effect of the size of the eye pupil and its position on distortions of the reconstructed image of the standard object. 1. CALCULATION OF IMAGE POSITION In the known papers devoted to the hologram recording and reconst ruction geometryi2 the coordinates of the image point are determined from the known coordinates of the object point reference and reconstructing sources. This approach however does not account for the well known experimental fact i. e. the dependence of the image posit ion and form on the observer''s position. Let us consider an ordinary case of recording and unconjugate reconstruction of the hologram of a point object. When a photographic plate is illuminated with coherent light from a reference source and point object an elementary hologram with a definite geometry will be recorded in each element of its surface with respect to the angles of incidence of the reference and object beams. When reconstructing the obtained hologram with unconjugate source each element of the hologram will reconstruct its image and the summary image reconstructed by the whole hologram will take the finite region in space. Fig. l shows the images calculated for four points of the hologram under the conditions: y0 cm z0 cm RR cm R56 Rc2O cm ac560. Let us determine which image can be seen when observing from point N located in axis Z with coordinate zN cm. Taking into account the direction of the elementary reconstructed beams following from the hologram we may be sure that only one elementary beam emerging from the hologram region close to the estimated point 3 passes through the point of observation. The other elementary beams forming the image run in different directions and do not pass through point N. When observing from the point with coordinate ZN cm the image of point 4 can only be seen and with ZN being less than 9 cm the image will not be seen at all if the hologram size equals 12 cm. The given example reaffirms the need for obligatory account of the observer''s position when calculating the image reconstructed by the hologram. 62 / SPIE Vol. 1238 Three-Dimensional Holography: Science Culture Education (1989)

Paper Details

Date Published: 1 February 1991
PDF: 6 pages
Proc. SPIE 1238, Three-Dimensional Holography: Science, Culture, Education, (1 February 1991); doi: 10.1117/12.19408
Show Author Affiliations
Sergei P. Vorobjov, Platan Research and Production Association (Russia)

Published in SPIE Proceedings Vol. 1238:
Three-Dimensional Holography: Science, Culture, Education
Tung H. Jeong; Vladimir B. Markov, Editor(s)

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