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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 19, Iss. 9 — Sep. 1, 2002
  • pp: 1886–1893

Alternative equations of magnetophotoelasticity and approximate solution of the inverse problem

Leo Ainola and Hillar Aben  »View Author Affiliations

JOSA A, Vol. 19, Issue 9, pp. 1886-1893 (2002)

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In magnetophotoelasticity, photoelastic models are investigated in a magnetic field in order to initiate rotation of the plane of polarization that is due to the Faraday effect. The method has been used for the measurement of stress distributions that are in equilibrium on the wave normal and therefore cannot be measured with the traditional photoelastic technique. In this category belong bending stresses in plates and shells and residual stresses in glass plates. Two new systems of equations of magnetophotoelasticity are derived. One of them describes evolution of the polarization of light in a magnetophotoelastic medium in terms of eigenvectors, the other in terms of distinctive parameters. For the latter system, an approximate closed-form solution has been found. The integral Wertheim law has been generalized for the case of stress states in equilibrium when rotation of the plane of polarization is present.

© 2002 Optical Society of America

OCIS Codes
(260.1180) Physical optics : Crystal optics
(260.1440) Physical optics : Birefringence
(260.2110) Physical optics : Electromagnetic optics
(260.2130) Physical optics : Ellipsometry and polarimetry
(260.5430) Physical optics : Polarization

Original Manuscript: November 6, 2001
Revised Manuscript: March 19, 2002
Manuscript Accepted: April 25, 2002
Published: September 1, 2002

Leo Ainola and Hillar Aben, "Alternative equations of magnetophotoelasticity and approximate solution of the inverse problem," J. Opt. Soc. Am. A 19, 1886-1893 (2002)

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