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Properties of the linear canonical integral transformation

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Alieva, Tatiana Krasheninnikova and Bastiaans, Martin J. (2007) Properties of the linear canonical integral transformation. Journal of The Optical Society Of America A-Optics Image Science and Vision, 24 (11). pp. 3658-3665. ISSN 1084-7529

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Official URL: http://dx.doi.org/10.1364/JOSAA.24.003658




Abstract

We provide a general expression and different classification schemes for the general two-dimensional canonical integral transformations that describe the propagation of coherent light through lossless first-order optical systems. Main theorems for these transformations, such as shift, scaling, derivation, etc., together with the canonical integral transforms of selected functions, are derived.


Item Type:Article
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© 2007 Optical Society of America. T. Alieva acknowledges the Spanish Ministry of Education and Science for financial support (project TEC 2005- 02180/MIC). M. J. Bastiaans appreciates the hospitality of Universidad Complutense de Madrid.

Uncontrolled Keywords:Optics
Subjects:Sciences > Physics > Optics
ID Code:27409
Deposited On:05 Dec 2014 11:38
Last Modified:05 Dec 2014 11:38

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