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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

  • Editor: Franco Gori
  • Vol. 27, Iss. 2 — Feb. 1, 2010
  • pp: 188–199

A complete characterization of pre-Mueller and Mueller matrices in polarization optics

B. N. Simon, S. Simon, N. Mukunda, F. Gori, M. Santarsiero, R. Borghi, and R. Simon  »View Author Affiliations


JOSA A, Vol. 27, Issue 2, pp. 188-199 (2010)
http://dx.doi.org/10.1364/JOSAA.27.000188


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Abstract

The Mueller–Stokes formalism that governs conventional polarization optics is formulated for plane waves, and thus the only qualification one could require of a 4 × 4 real matrix M in order that it qualify to be the Mueller matrix of some physical system would be that M map Ω ( pol ) , the positive solid light cone of Stokes vectors, into itself. In view of growing current interest in the characterization of partially coherent partially polarized electromagnetic beams, there is a need to extend this formalism to such beams wherein the polarization and spatial dependence are generically inseparably intertwined. This inseparability brings in additional constraints that a pre-Mueller matrix M mapping Ω ( pol ) into itself needs to meet in order to be an acceptable physical Mueller matrix. These additional constraints are motivated and fully characterized.

© 2010 Optical Society of America

OCIS Codes
(120.5410) Instrumentation, measurement, and metrology : Polarimetry
(230.5440) Optical devices : Polarization-selective devices
(260.2110) Physical optics : Electromagnetic optics
(260.5430) Physical optics : Polarization
(270.5585) Quantum optics : Quantum information and processing

ToC Category:
Physical Optics

History
Original Manuscript: August 24, 2009
Revised Manuscript: November 27, 2009
Manuscript Accepted: November 27, 2009
Published: January 19, 2010

Citation
B. N. Simon, S. Simon, N. Mukunda, F. Gori, M. Santarsiero, R. Borghi, and R. Simon, "A complete characterization of pre-Mueller and Mueller matrices in polarization optics," J. Opt. Soc. Am. A 27, 188-199 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-2-188

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