Kelly, Damien P. and Ward, Jennifer E. and Hennelly, Bryan M. and Gopinathan, Unnikrishnan and O'Neill, Feidhlim T. and Sheridan, J. T. (2006) Paraxial speckle-based metrology systems with an aperture. Journal of the Optical Society of America A., 23 (11). pp. 2861-2870. ISSN 1084-7529

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Abstract

Digital speckle photography can be used in the analysis of surface motion in combination with an optical linear canonical transform (LCT). Previously [ D. P. Kelly et al.Appl. Opt. 44, 2720 (2005) ] it has been shown that optical fractional Fourier transforms (OFRTs) can be used to vary the range and sensitivity of speckle-based metrology systems, allowing the measurement of both the magnitude and direction of tilting (rotation) and translation motion simultaneously, provided that the motion is captured in two separate OFRT domains. This requires two bulk optical systems. We extend the OFRT analysis to more general LCT systems with a single limiting aperture. The effect of a limiting aperture in LCT systems is examined in more detail by deriving a generalized Yamaguchi correlation factor. We demonstrate the benefits of using an LCT approach to metrology design. Using this technique, we show that by varying the curvature of the illuminating field, we can effectively change the output domain. From a practical perspective this means that estimation of the motion of a target can be achieved by using one bulk optical system and different illuminating conditions. Experimental results are provided to support our theoretical analysis.

Item Type:	Article
Keywords:	Paraxial speckle-based metrology systems; aperture; Digital speckle photography;
Academic Unit:	Faculty of Science and Engineering > Computer Science Faculty of Science and Engineering > Electronic Engineering Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	8720
Identification Number:	https://doi.org/10.1364/JOSAA.23.002861
Depositing User:	Dr. Bryan Hennelly
Date Deposited:	04 Sep 2017 11:25
Journal or Publication Title:	Journal of the Optical Society of America A.
Publisher:	Optical Society of America
Refereed:	Yes
Funders:	Enterprise Ireland, Science Foundation Ireland, Irish Research Council for Science Engineering and Technology (IRCSET)
URI:	https://www.osapublishing.org
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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