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Improvement of Fourier Polarimetry for applications in tomographic photoelasticity

Yang, H., Gibson, S. and Tomlinson, R.A. (2006) Improvement of Fourier Polarimetry for applications in tomographic photoelasticity. Experimental Mechanics, 46 (5). pp. 619-626. ISSN 0014-4851

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Abstract

The use of the Fourier Polarimetry method has been demonstrated to extract the three characteristic parameters in integrated photoelasticity. In contrast to the phase-stepping method, it has been shown that the Fourier method is more accurate. However, the Fourier method isn't very efficient as it requires that a minimum of nine intensity images be collected during a whole revolution of a polarizer while the phase-stepping method only needs six intensity images. In this paper the Fourier transformation is used to derive the expression for determination of the characteristic parameters. Four Fourier coefficients are clearly identified to calculate the three characteristic parameters. It is found that the angular rotation ratio could be set arbitrarily. The angular rotation ratio is optimized to satisfy the requirements of efficiency and proper data accuracy, which results in data collection about three times faster than the methods suggested by previous researchers. When comparing their performance in terms of efficiency and accuracy, the simulated and experimental results show that these angular rotation ratios have the same accuracy but the optimized angular rotation ratio is significantly faster. The sensitivity to noise is also investigated and further improvement of accuracy is suggested.

Item Type: Article
Copyright, Publisher and Additional Information: Copyright (c) 2006 Springer Science + Business Media. This is an author produced version of a paper published in ' Experimental Mechanics '. Uploaded in accordance with the publisher's self-archiving policy.
Keywords: Fourier Polarimetry Integrated photoelasticity Three-dimensional photoelasticity Tomographic photoelasticity Computer simulation Fourier transforms Optimization Photoelasticity Tomography Polarimeters
Academic Units: The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Mechanical Engineering (Sheffield)
Depositing User: Mr Christopher Hardwick
Date Deposited: 24 Aug 2009 17:48
Last Modified: 08 Feb 2013 16:58
Published Version: http://dx.doi.org/10.1007/s11340-006-9112-7
Status: Published
Publisher: Springer Science + Business Media
Refereed: Yes
Identification Number: 10.1007/s11340-006-9112-7
URI: http://eprints.whiterose.ac.uk/id/eprint/9203

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