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Magnitude and direction of motion with speckle correlation and the optical fractional Fourier transform

Journal Article · · Applied Optics
DOI:https://doi.org/10.1364/AO.44.002720· OSTI ID:20702434
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.
OSTI ID:
20702434
Journal Information:
Applied Optics, Journal Name: Applied Optics Journal Issue: 14 Vol. 44; ISSN 0003-6935; ISSN APOPAI
Country of Publication:
United States
Language:
English

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