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Spatial carrier interferometry from M temporal phase shifted interferograms: Squeezing Interferometry

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Quiroga Mellado, Juan Antonio and Servín Guirado, Manuel and Cywiak Garbarcewics, Moisés and Malacara Hernández, Daniel and Estrada, Julio César (2008) Spatial carrier interferometry from M temporal phase shifted interferograms: Squeezing Interferometry. Optics Express, 16 (13). pp. 9276-9283. ISSN 1094-4087

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Official URL: http://dx.doi.org/10.1364/OE.16.009276


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Abstract

It is well known that having 3 temporal phase shifting (PS) interferograms we do not have many possibilities of using an algorithm with a desired frequency spectrum, detuning, and harmonic robustness. This imposes severe restrictions on the possibilities to demodulate such set of temporal interferograms. It would be nice to apply for example a 7 step PS algorithm to these 3 images in order to have more possibilities to phase demodulate them; even further, it would be even better to apply a quadrature filter having a spatial spread given by a real number to these 3 interferograms. In this paper we propose to do just that; namely we show how to demodulate a set of M-steps phase shifting images with a quadrature filter having a real-number as spatial spread. The interesting thing in this paper is to use a higher than M spread quadrature filter to demodulate our interferograms; in traditional PS interferometry one is stuck to the use of M step phase shifting formula to obtain the searched phase. Using a less than M PS formula is not interesting at all given that we would not use all the available information. The main idea behind the "squeezing" phase shifting method is to re-arrange the information of the M phase shifted fringe patterns in such a way to obtain a single carrier frequency interferogram (a spatio-temporal fringe image) and use any two dimensional quadrature filter to demodulate it. In particular we propose the use of Gabor quadrature filters with a spread given by real-numbers along the spatial coordinates. The Gabor filter may be designed in such way that we may squeeze the frequency response of the filter along any desired spatio-temporal dimension, and obtain better signal to noise demodulation ratio, and better harmonic rejection on the estimated phase.


Item Type:Article
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© 2008 Optical Society of America.
The authors want to acknowledge the support of the Consejo Nacional de Ciencia y Tecnologia de Mexico (CONACYT).

Uncontrolled Keywords:Optics
Subjects:Sciences > Physics > Optics
ID Code:22890
Deposited On:30 Sep 2013 07:57
Last Modified:07 Feb 2014 10:53

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