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Applied Optics

Applied Optics


  • Vol. 38, Iss. 34 — Dec. 1, 1999
  • pp: 7018–7025

Generalized algorithm for photoelastic measurements based on phase-stepping imaging polarimetry

Jarosław W. Jaronski and Henryk T. Kasprzak  »View Author Affiliations

Applied Optics, Vol. 38, Issue 34, pp. 7018-7025 (1999)

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A general method for measuring the birefringence of nondichroic, linear retarder media has been presented. The method is based on phase-stepping imaging polarimetry and permits the azimuth angle, phase retardation, and transmission coefficient of a sample to be calculated. The method uses a simple setup, a sample at rest, and permits fast acquisition of data. With the mathematical description applied, various algorithms for different optical configurations can be used and any number of intensity patterns can be generated. Experimental results for photoelastic samples and the results of measurements of the birefringence of optical components and biological samples are also presented.

© 1999 Optical Society of America

OCIS Codes
(050.5080) Diffraction and gratings : Phase shift
(120.2130) Instrumentation, measurement, and metrology : Ellipsometry and polarimetry
(260.1440) Physical optics : Birefringence

Original Manuscript: March 31, 1999
Revised Manuscript: July 14, 1999
Published: December 1, 1999

Jarosław W. Jaronski and Henryk T. Kasprzak, "Generalized algorithm for photoelastic measurements based on phase-stepping imaging polarimetry," Appl. Opt. 38, 7018-7025 (1999)

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  1. R. Oldenbourg, G. Mei, “New polarized light microscope with precision universal compensator,” J. Microsc. 180, 140–147 (1995). [CrossRef] [PubMed]
  2. Y. Otani, T. Shimada, T. Yoshizawa, “The local-sampling phase shifting technique for precise two-dimensional birefringence measurement,” Opt. Rev. 1, 103–106 (1994). [CrossRef]
  3. A. Asundi, “Photoelasticity and moire,” in Optical Measurement Technique and Applications, P. K. Rastogi, ed. (Artech House, Boston, Mass., 1997), pp. 183–213.
  4. S. J. Haake, E. A. Patterson, “Photoelastic analysis of frozen stressed specimens using spectral contents analysis,” Exp. Mech. 32, 266–272 (1992). [CrossRef]
  5. A. D. Nurse, “Full-field automated photoelasticity by use of a three-wavelength approach to phase stepping,” Appl. Opt. 36, 5781–5786 (1997). [CrossRef] [PubMed]
  6. C. Quan, P. J. Bryanston-Cross, T. R. Judge, “Photoelasticity stress analysis using carrier fringe and FFT techniques,” Opt. Lasers Eng. 18, 79–108 (1993). [CrossRef]
  7. K. Oka, J. Ikeda, Y. Ohtsuka, “Novel polarimetric technique exploring spatiotemporal birefringent response of an anti-ferroelectric liquid crystal cell,” J. Mod. Opt. 40, 1713–1723 (1993). [CrossRef]
  8. Z. F. Wang, E. A. Patterson, “Use of phase stepping with demodulation of fuzzy sets for birefringence measurement,” Opt. Lasers Eng. 22, 91–104 (1995). [CrossRef]
  9. J. A. Quiroga, A. Gonzalez-Cano, “Phase measuring algorithm for extraction of isochromatics of photoelastic fringe patterns,” Appl. Opt. 36, 8397–8402 (1997). [CrossRef]
  10. T. W. Ng, “Derivation of retardation phase in computer-aided photoelasticity by using carrier fringe phase shifting,” Appl. Opt. 36, 8259–8263 (1997). [CrossRef]
  11. M. Noguchi, T. Ishikawa, M. Ohno, S. Tachihara, “Measurements of 2-D birefringence distribution,” in International Symposium on Optical Fabrication, Testing, and Surface Evaluation, J. Tsujiuchi, ed., Proc. SPIE1720, 367–378 (1992). [CrossRef]
  12. P. S. Theocaris, E. E. Gdoutos, Matrix Theory of Photoelasticity (Springer-Verlag, Berlin, 1979). [CrossRef]
  13. J. E. Greivenkamp, “Generalized data reduction for heterodyne interferometry,” Opt. Eng. 26, 350–352 (1984).
  14. K. Creath, “Temporal phase measurement methods,” in Interferogram Analysis: Digital Fringe Pattern Measurements Techniques, D. W. Robinson, G. T. Reid, eds. (Institute of Physics, Bristol, UK, 1993), pp. 94–140.
  15. J. Jaronski, “Theoretical and experimental study on corneal birefringence,” Ph.D. dissertation (Institute of Physics, Wrocław University of Technology, Wrocław, Poland, 1997).

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