Ward, Jennifer E.Jennifer E.WardKelly, Damien P.Damien P.KellySheridan, John T.John T.Sheridan2011-12-052011-12-052009 Optic2009-08-01Journal of the Optical Society of America A1084-75291520-8532http://hdl.handle.net/10197/3375Correlation properties of speckle fields at the output of quadratic phase systems with hard square and circular apertures are examined. Using the linear canonical transform and ABCD ray matrix techniques to describe these general optical systems, we first derive analytical formulas for determining axial and lateral speckle sizes. Then using a numerical technique, we extend the analysis so that the correlation properties of nonaxial speckles can also be considered. Using some simple optical systems as examples, we demonstrate how this approach may be conveniently applied. The results of this analysis apply broadly both to the design of metrology systems and to speckle control schemes427144 bytes1072 bytesapplication/pdftext/plainenThis paper was published in Journal of the Optical Society of America A 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=josaa-26-8-1855. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.SpeckleImaging systemsFourier transform opticsJournal Article2681855186410.1364/JOSAA.26.001855https://creativecommons.org/licenses/by-nc-sa/1.0/