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

Loading...
Thumbnail Image
Full text at PDC
Publication date

1998

Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
The Optical Society of America
Citations
Google Scholar
Citation
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).
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.
Research Projects
Organizational Units
Journal Issue
Description
© 1998 Optical Society of America. We thank Eusebio Bernabeu, Director of the Optics Department of the Universidad Complutense, for his help and continual support. Also, we wish to thank Hans Steinbichler, Steinbichler Optotechnik, GmbH, for helping us with the acquisition of experimental images. This work was partially supported by project MAT 95-0767-C02-02 of the Comisión Interministerial de Ciencia y Tecnología of Spain.
Keywords
Collections