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Optical Engineering

Properties of moire magnifiers
Author(s): Hala Kamal; Reinhard Voelkel; Javier Alda
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Paper Abstract

Moire´ magnification can be observed visually if an array of identical objects is viewed through an array of identical microlenses with a different period. Theoretical analysis and experimental results of the moire´ image obtained by a moire´ magnifier are presented. Conditions for erect and inverted moire´ magnifications are derived and interpreted. Virtual erect images are observed only when the period of the lens array is larger than that of the object array, while inverted images are obtainable in both cases. For equal periods, a uniform field of view results. The relation between the relative size of the periods and the distance between the object and the lens arrays are derived. Expressions for image magnification, orientation and size are deduced. The condition to obtain a demagnified moire´ pattern is deduced. Rotation of the lens array with respect to the object array results in rotation of the erect and inverted moire´ patterns in similar and opposite directions, respectively.

Paper Details

Date Published: 1 November 1998
PDF: 8 pages
Opt. Eng. 37(11) doi: 10.1117/1.601889
Published in: Optical Engineering Volume 37, Issue 11
Show Author Affiliations
Hala Kamal, Univ. Complutense de Madrid (Spain)
Reinhard Voelkel, Univ. of Neuchatel (Switzerland)
Javier Alda, Univ. Complutense de Madrid (Spain)

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