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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 18 — Aug. 31, 2009
  • pp: 15772–15777

A method to design tunable quadrature filters in phase shifting interferometry

J. F. Mosiño, D. Malacara Doblado, and D. Malacara Hernández  »View Author Affiliations


Optics Express, Vol. 17, Issue 18, pp. 15772-15777 (2009)
http://dx.doi.org/10.1364/OE.17.015772


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Abstract

The main purpose of this paper is to present a method to design tunable quadrature filters in phase shifting interferometry. The algorithm is obtained from a generalized Fourier transform of a symmetrical quadrature filter. This formalism allows us to represent the detuning phase shift error and bias modulation as geometrical conditions. Therefore, the design of the filter becomes a set of solvable linear equations. Hence, to prove our method, several general tunable filters, like three and four frame algorithms, are obtained. Finally, from our results we reproduce particular symmetrical four frame algorithms reported in literature.

© 2009 OSA

OCIS Codes
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: June 29, 2009
Revised Manuscript: August 5, 2009
Manuscript Accepted: August 6, 2009
Published: August 20, 2009

Citation
J. F. Mosiño, D. Malacara Doblado, and D. Malacara Hernández, "A method to design tunable quadrature filters in phase shifting interferometry," Opt. Express 17, 15772-15777 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-18-15772


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References

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  8. D. Malacara, M. Servin, and Z. Malacara, “Phase Detection Algorithms,” in Interferogram Analysis for Optical Testing, D. Malacara ed., (Taylor & Francis Group, 2005).
  9. J. F. Mosiño, M. Servin, J. C. Estrada, and J. A. Quiroga, “Phasorial analysis of detuning error in temporal phase shifting algorithms,” Opt. Express 17(7), 5618–5623 (2009). [CrossRef] [PubMed]

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