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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 46, Iss. 24 — Aug. 20, 2007
  • pp: 6047–6054

Degree of polarization as a criterion to obtain the nine bilinear constraints between the Mueller–Jones matrix elements

Rafael Espinosa-Luna  »View Author Affiliations


Applied Optics, Vol. 46, Issue 24, pp. 6047-6054 (2007)
http://dx.doi.org/10.1364/AO.46.006047


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Abstract

The degree of polarization is employed as a criterion to find the nine independent relations among the elements of the Mueller–Jones matrix. This procedure is applied by considering a previously determined, physically realizable Mueller matrix. On the other hand, the nine bilinear constrains are obtained by directly measuring the degree of polarization from an outgoing beam of light from an optical system by considering nine incident states of light taken from the Poincaré sphere. For practical purposes, all the incident polarization states must be scanned from the Poincaré sphere in order to satisfy the overpolarization and the overgain conditions, respectively, for the physical realizability of the Mueller matrix.

© 2007 Optical Society of America

OCIS Codes
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.2130) Instrumentation, measurement, and metrology : Ellipsometry and polarimetry
(120.5410) Instrumentation, measurement, and metrology : Polarimetry
(260.0260) Physical optics : Physical optics
(260.2130) Physical optics : Ellipsometry and polarimetry
(260.5430) Physical optics : Polarization

ToC Category:
Physical Optics

History
Original Manuscript: March 20, 2007
Revised Manuscript: June 22, 2007
Manuscript Accepted: July 2, 2007
Published: August 10, 2007

Virtual Issues
Vol. 2, Iss. 9 Virtual Journal for Biomedical Optics

Citation
Rafael Espinosa-Luna, "Degree of polarization as a criterion to obtain the nine bilinear constraints between the Mueller-Jones matrix elements," Appl. Opt. 46, 6047-6054 (2007)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-46-24-6047

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