OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 7 — Jul. 1, 2009
  • pp: 1714–1720

Fringe patterns in integrated photoelasticity

Leo Ainola and Hillar Aben  »View Author Affiliations

JOSA A, Vol. 26, Issue 7, pp. 1714-1720 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (132 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



In integrated photoelasticity the measurement data may be strongly influenced by the rotation of the principal stress axes. By pointwise measurements, usually the characteristic directions and optical retardation are determined and on their basis conclusions about the stress distribution along the light beam are made. However, often the integrated fringe pattern, obtained in a circular polariscope, can be recorded. This fringe pattern is determined by the integrals of the principal stresses as well as by the rotation of the principal stress directions. We consider the effect of rotation of the principal stress axes in the general form. It is shown that the rotation diminishes the distance between interference fringes and the contrast of the fringe pattern is also diminished.

© 2009 Optical Society of America

OCIS Codes
(260.0260) Physical optics : Physical optics
(260.1180) Physical optics : Crystal optics
(260.1440) Physical optics : Birefringence
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Physical Optics

Original Manuscript: March 17, 2009
Manuscript Accepted: May 13, 2009
Published: June 24, 2009

Leo Ainola and Hillar Aben, "Fringe patterns in integrated photoelasticity," J. Opt. Soc. Am. A 26, 1714-1720 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. F. E. Neumann, “Die Gesetze der Doppelbrechung des Lichts in komprimierten order ungleichförmig erwärmten unkrystellinischen Körpern,” Abh. Kön. Akad. Wiss. Berlin 2, 3-254 (1843).
  2. H. J. Menges, “Die experimentelle Ermittlung räumlicher Spannungszustände an durchsichtigen Modellen mit Hilfe des Tyndallefektes,” Z. Angew. Math. Mech. 20, 210-217 (1940). [CrossRef]
  3. A. Kammerer, Recherches sur la Photoélasticimétrie (Herman et Cie, 1944).
  4. R. Plechata, “Elliptical polarization at a three-dimensionally loaded continuum,” Acta Tech. CSAV 9, 43-50 (1964).
  5. D. C. Drucker and R. D. Mindlin, “Stress analysis by three-dimensional photoelastic methods,” J. Appl. Phys. 11, 724-732 (1940). [CrossRef]
  6. V. L. Ginzburg, “Investigation of stress by the optical method,” Zh. Tekh. Fiz. 14, 181-192 (1944) (in Russian).
  7. R. C. Jones, “A new calculus for the treatment of optical systems, VII,” J. Opt. Soc. Am. 38, 671-685 (1948). [CrossRef]
  8. R. D. Mindlin and L. E. Goodman, “The optical equations of three-dimensional photoelasticity,” J. Appl. Phys. 20, 89-95 (1949). [CrossRef]
  9. H. K. Aben, “Optical phenomena in photoelastic models by the rotation of principal axes,” Exp. Mech. 6, 13-22 (1966). [CrossRef]
  10. H. Aben, Integrated Photoelasticity (McGraw-Hill, 1979).
  11. H. Aben, “Characteristic directions in optics of twisted birefringent media,” J. Opt. Soc. Am. A 3, 1414-1421 (1986). [CrossRef]
  12. H. Lawrence and H. N. Lee, “Effects of rotation of principal stresses on photoelastic retardation,” Proc. Soc. Exp. Stress Anal. 21, 306-312 (1964).
  13. H. Kubo and R. Nagata, “Considerations of propagation of light waves in photoelastic materials and crystals,” Optik 52, 37-47 (1978).
  14. L. Ainola and H. Aben, “Transformation equations in polarization optics of inhomogeneous birefringent media,” J. Opt. Soc. Am. A 18, 2164-2170 (2001). [CrossRef]
  15. L. Ainola and H. Aben, “On the generalized Wertheim law in integrated photoelasticity,” J. Opt. Soc. Am. A 25, 1843-1849 (2008).
  16. L. Ainola and H. Aben, “Principal formulas of integrated photoelasticity in terms of characteristic parameters,” J. Opt. Soc. Am. A 22, 1181-1186 (2005). [CrossRef]
  17. S. Bhagavantam and T. Venkatarayudu, Theory of Groups and Its Application to Physical Problems (Andhra University, 1951).
  18. P. S. Theocaris and E. E. Gdoutos, Matrix Theory of Photoelasticity (Springer-Verlag, 1979).
  19. H. Aben and L. Ainola, “Isochromatic fringes in photoelasticity,” J. Opt. Soc. Am. A 17, 750-755 (2000). [CrossRef]
  20. H. Aben and J. Josepson, “Strange interference blots in the interferometry of inhomogeneous birefringent objects,” Appl. Opt. 36, 7172-7179 (1997). [CrossRef]
  21. H. Aben and L. Ainola, “Interference blots and fringe dislocations in optics of twisted birefringent media,” J. Opt. Soc. Am. A 15, 2404-2411 (1998). [CrossRef]
  22. P. Hartman, Ordinary Differential Equations (Wiley, 1964).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited