Courtial, J. (2008) Ray-optical refraction with confocal lenslet arrays. New Journal of Physics, 10(8), 083033. (doi: 10.1088/1367-2630/10/8/083033)
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Abstract
Two parallel lenslet arrays with focal lengths f1 and f2 that share a common focal plane (that is, which are separated by a distance f1+f2) can refract transmitted light rays according to Snell's law, but with the 'sin's replaced with 'tan's. This is the case for a limited range of input angles and other conditions. Such confocal lenslet arrays can therefore simulate the interface between optical media with different refractive indices, n1 and n2, whereby the ratio η=-f2/f1 plays the role of the refractive-index ratio n2/n1. Suitable choices of focal lengths enable positive and negative refraction. In contrast to Snell's law, which leads to nontrivial geometric imaging by a planar refractive-index interface only for the special case of n1=±n2, the modified refraction law leads to geometric imaging by planar confocal lenslet arrays for any value of η. We illustrate some of the properties of confocal lenslet arrays with images rendered using ray-tracing software.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Courtial, Dr Johannes |
Authors: | Courtial, J. |
College/School: | College of Science and Engineering > School of Physics and Astronomy |
Journal Name: | New Journal of Physics |
Journal Abbr.: | New J. Phys. |
Publisher: | Institute of Physics Publishing Ltd. |
ISSN (Online): | 1367-2630 |
Published Online: | 22 August 2008 |
Copyright Holders: | Copyright © 2008 Institute of Physics Publishing Ltd. |
First Published: | First published in New Journal of Physics 10 (8): 083033 |
Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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