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Alternative representation of the linear canonical integral transform

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Alieva, Tatiana Krasheninnikova and Bastiaans, Martin J. (2005) Alternative representation of the linear canonical integral transform. Optics letters, 30 (24). pp. 3302-3304. ISSN 0146-9592

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Official URL: http://dx.doi.org/10.1364/OL.30.003302


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http://www.opticsinfobase.org/Publisher


Abstract

Starting with the Iwasawa-type decomposition of a first-order optical system (or ABCD system) as a cascade of a lens, a magnifier, and an orthosymplectic system (a system that is both symplectic and orthogonal), a further decomposition of the orthosymplectic system in the form of a separable fractional Fourier transformer embedded between two spatial-coordinate rotators is proposed. The resulting decomposition of the entire first-order optical system then shows a physically attractive representation of the linear canonical integral transformation, which, in contrast to Collins integral, is valid for any ray transformation matrix.


Item Type:Article
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© 2005 Optical Society of America. The Spanish Ministry of Education and Science is acknowledged for financial support through a “Ramon y Cajal” grant and projects TIC 2002-01846 (T. Alieva, talieva@fis.ucm.es) and SAB2004-0018 (M. J. Bastiaans, m.j.bastiaans@tue.nl).

Uncontrolled Keywords:Optics
Subjects:Sciences > Physics > Optics
ID Code:27678
Deposited On:11 Dec 2014 11:20
Last Modified:11 Dec 2014 11:20

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