Kelly, Damien P. and Hennelly, Bryan M. and Sheridan, John T. (2005) Magnitude and direction of motion with speckle correlation and the optical fractional Fourier transform. Applied Optics, 44 (14). pp. 2720-2727. ISSN 0003-6935

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Abstract

The optical fractional Fourier transform (OFRT) in combination with speckle photography has previously been used to measure the magnitude of surface tilting and translation. Previous OFRT techniques used to determine motion have not been able to discern the direction of the tilt and translation. A simple new approach involving use of correlation is presented to overcome this limitation. Controlled variation of the minimum resolution and dynamical range of measurement is demonstrated. It is then experimentally confirmed that if a rigid body·s motion is captured by two OFRT systems of different orders, the direction and magnitude of both the tilting and the in-plane translation motion of the body can be independently determined without a priori knowledge. The experimental results confirm the validity of previous theoretical predictions.

Item Type:	Article
Keywords:	Magnitude; direction; motion; speckle correlation; optical fractional Fourier transform;
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:	8723
Identification Number:	https://doi.org/10.1364/AO.44.002720
Depositing User:	Dr. Bryan Hennelly
Date Deposited:	04 Sep 2017 14:35
Journal or Publication Title:	Applied Optics
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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