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  • Vol. 36, Iss. 15 — Aug. 1, 2011
  • pp: 2821–2823

Causality and the complete positivity of classical polarization maps

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


Optics Letters, Vol. 36, Issue 15, pp. 2821-2823 (2011)
http://dx.doi.org/10.1364/OL.36.002821


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Abstract

Mueller and Jones matrices have been thoroughly studied as mathematical tools to describe the manipulation of the polarization state of classical light. In particular, the most general physical transformation on the polarization state has been represented as an ensemble of Jones matrices, as i V i Φ V i . But this has generally been directly assumed without proof by most authors. In this Letter, we derive this expression from simple physical principles and the matrix theory of positive maps.

© 2011 Optical Society of America

OCIS Codes
(030.1670) Coherence and statistical optics : Coherent optical effects
(030.6600) Coherence and statistical optics : Statistical optics
(070.5040) Fourier optics and signal processing : Phase conjugation
(260.5430) Physical optics : Polarization

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: May 12, 2011
Revised Manuscript: June 10, 2011
Manuscript Accepted: June 20, 2011
Published: July 21, 2011

Citation
Omar Gamel and Daniel F. V. James, "Causality and the complete positivity of classical polarization maps," Opt. Lett. 36, 2821-2823 (2011)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-36-15-2821


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