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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 31, Iss. 7 — Jul. 1, 2014
  • pp: 1620–1626

Majorization and measures of classical polarization in three dimensions

Omar Gamel and Daniel F. V. James  »View Author Affiliations

JOSA A, Vol. 31, Issue 7, pp. 1620-1626 (2014)

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There has been much discussion in the literature about rival measures of classical polarization in three dimensions. We gather and compare the various proposed measures of polarization, creating a geometric representation of the polarization state space in the process. We use majorization, previously used in quantum information, as a criterion to establish a partial ordering on the polarization state space. Using this criterion and other considerations, the most useful polarization measure in three dimensions is found to be one dependent on the Bloch vector decomposition of the polarization matrix.

© 2014 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(260.0260) Physical optics : Physical optics
(260.5430) Physical optics : Polarization
(270.5585) Quantum optics : Quantum information and processing

ToC Category:
Physical Optics

Original Manuscript: March 12, 2014
Revised Manuscript: May 28, 2014
Manuscript Accepted: May 29, 2014
Published: June 26, 2014

Omar Gamel and Daniel F. V. James, "Majorization and measures of classical polarization in three dimensions," J. Opt. Soc. Am. A 31, 1620-1626 (2014)

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