RT Journal Article
T1 Spatial carrier interferometry from M temporal phase shifted interferograms: Squeezing Interferometry
A1 Quiroga Mellado, Juan Antonio
A1 Servín Guirado, Manuel
A1 Cywiak Garbarcewics, Moisés
A1 Malacara Hernández, Daniel
A1 Estrada, Julio César
AB 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.
PB The Optical Society Of America
SN 1094-4087
YR 2008
FD 2008-06-23
LK https://hdl.handle.net/20.500.14352/50783
UL https://hdl.handle.net/20.500.14352/50783
LA eng
NO © 2008 Optical Society of America.The authors want to acknowledge the support of the Consejo Nacional de Ciencia y Tecnologia de Mexico (CONACYT).
NO Consejo Nacional de Ciencia y Tecnologia de México (CONACYT)
DS Docta Complutense
RD 21 abr 2025