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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 45, Iss. 35 — Dec. 10, 2006
  • pp: 8848–8854

Phase unwrapping method for three-dimensional stress analysis by scattered-light photoelasticity with unpolarized light

Toshiki Kihara  »View Author Affiliations


Applied Optics, Vol. 45, Issue 35, pp. 8848-8854 (2006)
http://dx.doi.org/10.1364/AO.45.008848


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Abstract

In scattered-light photoelasticity with unpolarized light, the secondary principal stress direction ψ and the relative phase retardation ρ in a three-dimensional stressed model with rotation of the principal stress axes can be obtained by use of Stokes parameters. For completely automated stress analysis, measurements of the total relative phase retardation and the secondary principal stress direction over the entire field are required, and it is necessary to unwrap ψ and ρ. A phase unwrapping method is thus proposed for the determination of these values based on scattered-light photoelasticity. The values are easily obtained via an arctangent function, overcoming the error associated with the quarter-wave plate by employing an incident light of different wavelengths. The proposed technique provides automated and nondestructive determination of the total relative phase retardation and the secondary principal stress direction in a model exhibiting rotation of the principal stress axes.

© 2006 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(120.4290) Instrumentation, measurement, and metrology : Nondestructive testing

History
Original Manuscript: April 12, 2006
Manuscript Accepted: August 9, 2006

Citation
Toshiki Kihara, "Phase unwrapping method for three-dimensional stress analysis by scattered-light photoelasticity with unpolarized light," Appl. Opt. 45, 8848-8854 (2006)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-35-8848


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References

  1. H. Hurwitz and R. C. Jones, "A new calculus for the treatment of optical systems. II. Proof of three general equivalence theorems," J. Opt. Soc. Am. 31, 493-499 (1941).
  2. H. K. Aben, "Optical phenomena in photoelastic models by the rotation of principal axes," Exp. Mech. 6, 13-22 (1966). [CrossRef]
  3. L. S. Srinath and A. V. S. S. S. R. Sarma, "Determination of the optically equivalent model in three-dimensional photoelasticity," Exp. Mech. 14, 118-122 (1974). [CrossRef]
  4. P. S. Theocaris and E. E. Gdoutos, Matrix Theory of Photoelasticity (Springer-Verlag, 1979).
  5. R. A. Tomlinson and E. A. Patterson, "The use of phase-stepping for the measurement of characteristic parameters in integrated photoelasticity," Exp. Mech. 42, 43-49 (2002). [CrossRef]
  6. H. Aben and A. Errapart, "Photoelastic tomography: possibilities and limitations," in Advances in Experimental Mechanics, C. Pappalettere, ed. (McGraw-Hill, 2004).
  7. R. Weller, "A new method for photoelasticity in three dimensions," J. Appl. Phys. 10, 266 (1939). [CrossRef]
  8. H. J. Menges, "Die experimentelle Ermittlung räumlicher Spannungs zustände an durchsichtigen Modellen mit Hilfe des Tyndalleffektes," Z. Angew. Math. Mech. 20, 210-217 (1940). [CrossRef]
  9. H. T. Jessop, "The scattered light method of exploration of stresses in two- and three-dimensional models," Br. J. Appl. Phys. 2, 249-260 (1951). [CrossRef]
  10. M. M. Frocht and L. S. Srinath, "A non-destructive method for three-dimensional photoelasticity," in Proceedings of the U.S. National Congress of Applied Mechanics, R. M. Haythornthwaite, ed. (American Society of Mechanical Engineering, 1958), pp. 329-337.
  11. Y. F. Cheng, "An automatic system for scattered-light photoelasticity," Exp. Mech. 9, 407-412 (1969). [CrossRef]
  12. A. Robert and E. Guillemet, "New scattered light method in three-dimensional photoelasticity," Br. J. Appl. Phys. 15, 567-578 (1964). [CrossRef]
  13. A. Robert, "New methods in photoelasticity," Exp. Mech. 7, 224-232 (1967). [CrossRef]
  14. J. F. Gross-Petersen, "A scattered-light method in photoelasticity," Exp. Mech. 14, 317-322 (1974). [CrossRef]
  15. T. Kihara, H. Kubo, and R. Nagata, "Measurement of 3-D stress distribution by a scattered-light method using depolarized incident light," Appl. Opt. 18, 321-327 (1979). [CrossRef] [PubMed]
  16. T. Kihara, M. Unno, C. Kitada, H. Kubo, and R. Nagata, "Three-dimensional stress distribution measurement in a method of the human ankle joint by scattered-light polarizer photoelasticity: Part 2," Appl. Opt. 26, 643-649 (1987). [CrossRef] [PubMed]
  17. T. Kihara, "A measurement method of scattered light photoelasticity using unpolarized light," Exp. Mech. 37, 39-44 (1997). [CrossRef]
  18. T. Kihara, "A study of measurement method of scattered light photoelasticity using unpolarized light by Poincaré sphere," Proc. Jpn. Soc. Photoelasticity 18, 15-19 (1998).
  19. T. Kihara, "A digital scattered light photoelasticity measurement technique using unpolarized light," Jpn. Soc. Exp. Mech. 4, 22-28 (2004).
  20. T. Kihara, "Photoelastic model measurement with rotated principal axes by scattered-light photoelasticity," Exp. Mech. 44, 455-460 (2004). [CrossRef]
  21. R. Desailly, "Visualization of isoclinics and isochromatics in a birefringent slice optically singled out in a three-dimensional model," Opt. Commun. 19, 61-64 (1976). [CrossRef]
  22. J. C. Dupré and A. Lagarde, "Photoelastic analysis of a three-dimensional specimen by optical slicing and digital image processing," Exp. Mech. 37, 393-397 (1997). [CrossRef]
  23. M. M. Frocht and R. J. Guernesy, "A special investigation to develop a general method for three-dimensional photoelastic stress analysis," NACA Tech. Note 2822 (National Advisory Committee for Aeronautics, 1952).
  24. K. Ramesh, Digital Photoelasticity (Springer-Verlag, 2000).
  25. T. Kihara, "An arctangent unwrapping technique of photoelasticity using linearly polarized light at three wavelengths," Strain 39, 65-71 (2003). [CrossRef]
  26. W. H. McMaster, "Matrix representation of polarization," Rev. Mod. Phys. 33, 8-28 (1961). [CrossRef]
  27. T. Kihara, "Stokes parameters measurement of light over a wide wavelength range by judicious choice of azimuthal settings of quarter-wave plate and linear polarizer," Opt. Commun. 110, 529-532 (1994). [CrossRef]
  28. T. Kihara, "Measurement of Stokes parameters by quarter-wave plate and polarizer," in Advances in Experimental Mechanics, J.M.Dulieu-Barton and S.Quinn, eds. (Trans Tech, 2005), Vol. 4, pp. 235-240.
  29. M. M. Frocht, Photoelasticity (Wiley, 1948), Vol. 2, Chap. 4.

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