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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

  • Vol. 16, Iss. 10 — Oct. 1, 1999
  • pp: 2545–2549

Duality in optical theory of twisted birefringent media

Leo Ainola and Hillar Aben  »View Author Affiliations


JOSA A, Vol. 16, Issue 10, pp. 2545-2549 (1999)
http://dx.doi.org/10.1364/JOSAA.16.002545


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Abstract

Two classical treatments of the transformation of the polarization of light in twisted birefringent media belong to Neumann and Kuske [see AbenH., Integrated Photoelasticity (McGraw-Hill, New York, 1979)]. Since these authors have chosen parameters that characterize the state of polarization differently, the equations derived by them have been considered to be independent of one another. We show that duality exists between these equations. By the appropriate exchange of parameters, the first system of equations is transformed into the second one and vice versa. This duality follows from the duality between the two different parametric representations of the unitary unimodular matrix that describes the transformation of polarization in twisted birefringent media.

© 1999 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

History
Original Manuscript: February 11, 1999
Revised Manuscript: June 14, 1999
Manuscript Accepted: June 14, 1999
Published: October 1, 1999

Citation
Leo Ainola and Hillar Aben, "Duality in optical theory of twisted birefringent media," J. Opt. Soc. Am. A 16, 2545-2549 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-10-2545

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