Reevaluation of the direct method of calculating Fresnel and other linear canonical transforms

John J. Healy, John T. Sheridan
2010 Optics Letters  
Item record/more information http://hdl.handle.net/10197/3381 Publisher's statement This paper was published in Optics Latters and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/abstract.cfm?URI=ol-35-7-947. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law. Publisher's
more » ... w. Publisher's version (The linear canonical transform may be used to simulate the effect of paraxial optical systems on wave fields. Using a recent definition of the discrete linear canonical transform, phase space diagram analyses of the sampling requirements of the direct method of calculating the Fresnel and other linear canonical transforms are more favorable than previously thought. Thus the direct method of calculating these transforms may be used with fewer samples than previously reported simply by making use of an appropriate reconstruction filter on the samples output by the algorithm.
doi:10.1364/ol.35.000947 pmid:20364179 fatcat:quduxktravajhkkmmv2xvkzza4