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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 3 — Mar. 1, 2006
  • pp: 741–746

Transformation equation in three-dimensional photoelasticity

Leo Ainola and Hillar Aben  »View Author Affiliations


JOSA A, Vol. 23, Issue 3, pp. 741-746 (2006)
http://dx.doi.org/10.1364/JOSAA.23.000741


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Abstract

Optical phenomena that occur when polarized light passes through an inhomogeneous birefringent medium are complicated, especially when the principal directions of the dielectric tensor rotate on the light ray. This case is typical in three-dimensional photoelasticity, in particular in integrated photoelasticity by stress analysis on the basis of measured polarization transformations. Analysis of polarization transformations in integrated photoelasticity has been based primarily on a system of two first-order differential equations. Using a transformed coordinate in the direction of light propagation, we have derived a single fourth-order differential equation of three-dimensional photoelasticity. For the case of uniform rotation of the principal directions we have obtained an analytical solution.

© 2006 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

History
Original Manuscript: July 1, 2005
Manuscript Accepted: August 9, 2005

Citation
Leo Ainola and Hillar Aben, "Transformation equation in three-dimensional photoelasticity," J. Opt. Soc. Am. A 23, 741-746 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-3-741


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References

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