TY - JOUR
T1 - Generalized phase-shifting interferometry by parameter estimation with the least squares method
AU - Juarez-Salazar, Rigoberto
AU - Robledo-Sánchez, Carlos
AU - Meneses-Fabian, Cruz
AU - Guerrero-Sánchez, Fermin
AU - Arévalo Aguilar, L. M.
N1 - Funding Information:
Rigoberto Juarez-Salazar appreciates the scholarship from Consejo Nacional de Ciencia y Tecnologia (CONACYT) Mexico. C. Robledo-Sánchez, C. Meneses-Fabian and L.M. Arévalo Aguilar thank the support from CONACYT. We thank Uriel Rivera-Ortega for support to phase-shift estimation with alternative techniques to obtain Figs. 5 and 7 (a). Also, we thank N. Keranen, F. Encinas, and A.J. Chiyoupa R. for her advice on wording. Furthermore, we are grateful to the anonymous reviewers for their extremely valuable comments and suggestions.
PY - 2013/5
Y1 - 2013/5
N2 - A simple non-iterative algorithm for generalized phase-shifting interferometry is proposed. This algorithm recovers the wrapped phase from two or more interferograms with unknown phase steps between 0 and π rad. The proposal is based on the least squares method to calculate four parameters: background and modulation light, phase steps and wrapped phase distribution. This algorithm, by a new interferogram normalization procedure, can handle interferograms with variable spatiotemporal visibility overcoming the restriction and drawbacks from usual variable spatial visibility approaches. The algorithm works very well for processing interferograms which include many fringes. This behaviour will be explicated and discussed. The effectiveness and robustness of this algorithm are supported by numerical simulation and by the evaluation of experimental interferograms. The phase-shift estimation quality is verified by two different techniques. By the properties of this algorithm, such as the low computing time and free of user intervention, we believe it could be used in automatic real-time applications.
AB - A simple non-iterative algorithm for generalized phase-shifting interferometry is proposed. This algorithm recovers the wrapped phase from two or more interferograms with unknown phase steps between 0 and π rad. The proposal is based on the least squares method to calculate four parameters: background and modulation light, phase steps and wrapped phase distribution. This algorithm, by a new interferogram normalization procedure, can handle interferograms with variable spatiotemporal visibility overcoming the restriction and drawbacks from usual variable spatial visibility approaches. The algorithm works very well for processing interferograms which include many fringes. This behaviour will be explicated and discussed. The effectiveness and robustness of this algorithm are supported by numerical simulation and by the evaluation of experimental interferograms. The phase-shift estimation quality is verified by two different techniques. By the properties of this algorithm, such as the low computing time and free of user intervention, we believe it could be used in automatic real-time applications.
KW - Fringe analysis
KW - Interferometry
KW - Phase measurement
UR - http://www.scopus.com/inward/record.url?scp=84874108174&partnerID=8YFLogxK
U2 - 10.1016/j.optlaseng.2012.12.020
DO - 10.1016/j.optlaseng.2012.12.020
M3 - Artículo
SN - 0143-8166
VL - 51
SP - 626
EP - 632
JO - Optics and Lasers in Engineering
JF - Optics and Lasers in Engineering
IS - 5
ER -