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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. 17, Iss. 2 — Feb. 1, 2000
  • pp: 328–334

Characteristic properties of Mueller matrices

José J. Gil  »View Author Affiliations


JOSA A, Vol. 17, Issue 2, pp. 328-334 (2000)
http://dx.doi.org/10.1364/JOSAA.17.000328


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Abstract

A complete and minimum set of necessary and sufficient conditions for a real 4×4 matrix to be a physical Mueller matrix is obtained. An additional condition is presented to complete the set of known conditions, namely, the four conditions obtained from the nonnegativity of the eigenvalues of the Hermitian matrix H associated with a Mueller matrix M and the transmittance condition. Using the properties of H, a demonstration is also presented of Tr(MTM)=4m002 as being a necessary and sufficient condition for a physical Mueller matrix to be a pure Mueller matrix.

© 2000 Optical Society of America

OCIS Codes
(120.2130) Instrumentation, measurement, and metrology : Ellipsometry and polarimetry
(260.5430) Physical optics : Polarization

History
Original Manuscript: March 31, 1999
Revised Manuscript: October 12, 1999
Manuscript Accepted: October 25, 1999
Published: February 1, 2000

Citation
José J. Gil, "Characteristic properties of Mueller matrices," J. Opt. Soc. Am. A 17, 328-334 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-2-328

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