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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 20 — Jul. 10, 1998
  • pp: 4488–4495

Method of error analysis for phase-measuring algorithms applied to photoelasticity

Juan Antonio Quiroga and Agustín González-Cano  »View Author Affiliations


Applied Optics, Vol. 37, Issue 20, pp. 4488-4495 (1998)
http://dx.doi.org/10.1364/AO.37.004488


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Abstract

We present a method of error analysis that can be applied for phase-measuring algorithms applied to photoelasticity. We calculate the contributions to the measurement error of the different elements of a circular polariscope as perturbations of the Jones matrices associated with each element. The Jones matrix of the real polariscope can then be calculated as a sum of the nominal matrix and a series of contributions that depend on the errors associated with each element separately. We apply this method to the analysis of phase-measuring algorithms for the determination of isoclinics and isochromatics, including comparisons with real measurements.

© 1998 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(230.5440) Optical devices : Polarization-selective devices
(260.5430) Physical optics : Polarization

Citation
Juan Antonio Quiroga and Agustín González-Cano, "Method of error analysis for phase-measuring algorithms applied to photoelasticity," Appl. Opt. 37, 4488-4495 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-20-4488


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References

  1. C. Buckberry and D. Towers, “Automatic analysis of isochromatic and isoclinic fringes in photoelasticity using phase-measuring techniques,” Meas. Sci. Technol. 6, 1227–1235 (1995).
  2. T. Franz, A. Maidhof, and J. Sun, “Verfahren und Vorrichtung zur Bestimmung der Isochromatenwerte in der Spannungsoptik,” German patent DE-195 03 851 A1 (10 August 1995).
  3. A. D. Nurse, “Full-field automated photoelasticity by use of a three-wavelength approach to phase stepping,” Appl. Opt. 36, 5781–5786 (1997).
  4. J. A. Quiroga and A. González-Cano, “Phase-measuring algorithm for the extraction of isochromatics of photoelastic fringe patterns,” Appl. Opt. 36, 8397–8402 (1997).
  5. K. Freischlad and C. L. Kouliopoulos, “Fourier description of digital phase-measuring interferometry,” J. Opt. Soc. Am A 7, 542–551 (1990).
  6. J. van Wingerden, H. J. Frankena, and C. Smorenburg, “Linear approximation for measurement errors in phase-shifting interferometry,” Appl. Opt. 30, 2718–2729 (1991).
  7. P. S. Theocaris and E. E. Gdoutos, Matrix Methods in Photoelasticity (Springer-Verlag, Berlin, 1979).

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