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

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dc.contributor.authorQuiroga Mellado, Juan Antonio
dc.contributor.authorGonzález Cano, Agustín
dc.date.accessioned2023-06-20T18:51:44Z
dc.date.available2023-06-20T18:51:44Z
dc.date.issued1998-07-10
dc.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.
dc.description.abstractWe 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.
dc.description.departmentDepto. de Óptica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipComisión Interministerial de Ciencia y Tecnología of Spain
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/23246
dc.identifier.citation1. 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).
dc.identifier.doi10.1364/AO.37.004488
dc.identifier.issn0003-6935
dc.identifier.officialurlhttp://dx.doi.org/10.1364/AO.37.004488
dc.identifier.relatedurlhttp://www.opticsinfobase.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/58798
dc.issue.number20
dc.journal.titleApplied Optics
dc.language.isoeng
dc.page.final4495
dc.page.initial4488
dc.publisherThe Optical Society of America
dc.relation.projectIDMAT 95-0767-C02-02
dc.rights.accessRightsopen access
dc.subject.cdu535
dc.subject.keywordInterferometry
dc.subject.ucmÓptica (Física)
dc.subject.unesco2209.19 Óptica Física
dc.titleMethod of error analysis for phase-measuring algorithms applied to photoelasticity
dc.typejournal article
dc.volume.number37
dspace.entity.typePublication
relation.isAuthorOfPublication1c171089-8e25-448f-bcce-28d030f8f43a
relation.isAuthorOfPublication8f013df5-4042-4b99-b639-1176bcb4d4ce
relation.isAuthorOfPublication.latestForDiscovery1c171089-8e25-448f-bcce-28d030f8f43a
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