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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 15 — Jul. 28, 2014
  • pp: 18203–18213

Design of phase shifting algorithms: fringe contrast maximum

Yangjin Kim, Kenichi Hibino, Naohiko Sugita, and Mamoru Mitsuishi  »View Author Affiliations


Optics Express, Vol. 22, Issue 15, pp. 18203-18213 (2014)
http://dx.doi.org/10.1364/OE.22.018203


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Abstract

In phase shifting interferometry, the fringe contrast is preferred to be at a maximum when there is no phase shift error. In the measurement of highly-reflective surfaces, the signal contrast is relatively low and the measurement would be aborted when the contrast falls below a threshold value. The fringe contrast depends on the design of the phase shifting algorithm. The condition for achieving the fringe contrast maximum is derived as a set of linear equations of the sampling amplitudes. The minimum number of samples necessary for constructing an error-compensating algorithm that is insensitive to the jth harmonic component and to the phase shift error is discussed. As examples, two new algorithms (15-sample and (3N2)-sample) were derived that are useful for the measurement for highly-reflective surfaces.

© 2014 Optical Society of America

OCIS Codes
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.3940) Instrumentation, measurement, and metrology : Metrology
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: May 9, 2014
Revised Manuscript: June 21, 2014
Manuscript Accepted: June 27, 2014
Published: July 21, 2014

Citation
Yangjin Kim, Kenichi Hibino, Naohiko Sugita, and Mamoru Mitsuishi, "Design of phase shifting algorithms: fringe contrast maximum," Opt. Express 22, 18203-18213 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-15-18203


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