Publication: Regularized least squares phase sampling interferometry
Loading...
Official URL
Full text at PDC
Publication Date
2011-03-14
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
The Optical Society Of America
Citations
Exportar
Abstract
In phase sampling interferometry, existing temporal analysis methods are sensitive to border effects and cannot deal with missing data. In this work we propose a quadrature filter that allows a reliable dynamic phase measurement for every sample, even in the cases involving few samples or missing data. The method is based on the use of a regularized least squares cost function that enforces the quadrature character of the filter. A comparison with existing techniques shows the effectiveness of the proposed method.
Description
© The 2011 Optical Society of America.
This work was partially supported by the Spanish Ministry of Science and Technology under grant DPI2009-09023.
UCM subjects
Unesco subjects
Keywords
Citation
1. D. Malacara, M. Servín, and Z. Malacara, Interferogram Analysis For Optical Testing, 2nd. ed. (CRC Press, 2005.
2. M. Takeda and H. Yamamoto, “Fourier-transform speckle profilometry: three-dimensional shape measurements of diffuse objects with large height steps and/or spatially isolated surfaces,” Appl. Opt. 33(34), 7829–7837 (1994).
3. J. M. Huntley, G. H. Kaufmann, and D. Kerr, “Phase-shifted dynamic speckle pattern interferometry at 1 kHz,” Appl. Opt. 38(31), 6556–6563 (1999).
4. P. Haible, M. P. Kothiyal, and H. J. Tiziani, “Heterodyne temporal speckle-pattern interferometry,” Appl. Opt. 39(1), 114–117 (2000).
5. P. D. Ruiz, J. M. Huntley, and G. H. Kaufmann, “Adaptive phase-shifting algorithm for temporal phase evaluation,” J. Opt. Soc. Am. A 20(2), 325–332 (2003).
6. J. L. Marroquín, J. E. Figueroa, and M. Servín, “Robust quadrature filters,” J. Opt. Soc. Am. A 14(4), 779–791 (1997).
7. J. C. Estrada, M. Servín, and J. A. Quiroga, “Easy and straightforward construction of wideband phase-shifting algorithms for interferometry,” Opt. Lett. 34(4), 413–415 (2009).
8. M. Servín, J. C. Estrada, and J. A. Quiroga, “The general theory of phase shifting algorithms,” Opt. Express 17(24), 21867–21881 (2009).
9. M. Servín, J. A. Quiroga, and J. L. Marroquín, “General n-dimensional quadrature transform and its application to interferogram demodulation,” J. Opt. Soc. Am. A 20(5), 925–934 (2003).
10. A. Papoulis, Signal analysis, McGraw-Hill (1977)
11. J. E. Greivenkamp, “Generalized data reduction for heterodyne interferometry,” Opt. Eng. 4, 350–352 (1984).
12. http://www.mathworks.com/help/techdoc/ref/peaks.html