Liu, ChanggengChanggengLiuWang, DayongDayongWangHealy, John J.John J.HealyHennelly, Bryan M.Bryan M.HennellySheridan, John T.John T.SheridanKim, Myung K.Myung K.Kim2011-11-032011-11-032011 Optic2011-07-01Journal of the Optical Society of America A1084-7529http://hdl.handle.net/10197/3294An efficient algorithm for the accurate computation of the linear canonical transform with complex transform parameters and with complex output variable is presented. Sampling issues are discussed and the requirements for different cases given. Simulations are provided to validate the results.682882 bytesapplication/pdfenThis paper was published in Journal of the Optical Society of America. A, Optics and image science 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/josaa/abstract.cfm?uri=josaa-28-7-1379. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.Contact transformationsFourier transform opticsGeometrical opticsOptical data processingJournal Article2871379138610.1364/JOSAA.28.001379https://creativecommons.org/licenses/by-nc-sa/1.0/