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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. 18, Iss. 12 — Dec. 1, 2001
  • pp: 3130–3134

Polarization elements: a group-theoretical study

Sudha and A. V. Gopala Rao  »View Author Affiliations


JOSA A, Vol. 18, Issue 12, pp. 3130-3134 (2001)
http://dx.doi.org/10.1364/JOSAA.18.003130


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Abstract

The classification of polarization elements, the polarization affecting optical devices that have a Jones-matrix representation according to the type of eigenvectors they possess, is given a new visit through the group-theoretical connection of polarization elements. The diattenuators and retarders are recognized as the elements corresponding to boosts and rotations, respectively. The structure of homogeneous elements other than diattenuators and retarders are identified by giving the quaternion corresponding to these elements. The set of degenerate polarization elements is identified with the so-called null elements of the Lorentz group. Singular polarization elements are examined in their more illustrative Mueller-matrix representation, and, finally the eigenstructure of a special class of singular Mueller matrices is studied.

© 2001 Optical Society of America

OCIS Codes
(230.5440) Optical devices : Polarization-selective devices
(260.1440) Physical optics : Birefringence
(260.5430) Physical optics : Polarization

History
Original Manuscript: February 15, 2001
Revised Manuscript: April 26, 2001
Manuscript Accepted: May 30, 2001
Published: December 1, 2001

Citation
Sudha and A. V. Gopala Rao, "Polarization elements: a group-theoretical study," J. Opt. Soc. Am. A 18, 3130-3134 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-12-3130

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