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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. 31, Iss. 1 — Jan. 1, 2014
  • pp: 75–80

Bounding the relative errors associated with a complete Stokes polarimeter

Emanuel Chironi and Claudio Iemmi  »View Author Affiliations


JOSA A, Vol. 31, Issue 1, pp. 75-80 (2014)
http://dx.doi.org/10.1364/JOSAA.31.000075


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Abstract

In this paper, we propose a criterion for bounding the relative errors associated with the determination of the Stokes vector that describes the state of polarization of a light beam. No assumptions about the magnitude, origin, or statistical behavior of the errors are made. It is shown that figures of merit such as the condition number and the equally weighted variance naturally arise as optimization parameters. Moreover, a third optimization parameter emerges, which takes into account errors associated with the matrix that represents the selected configuration of analyzers. Finally, a new and more general figure of merit is derived from this analysis and is applied in an optimization process of a very well known polarimeter.

© 2013 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(120.2130) Instrumentation, measurement, and metrology : Ellipsometry and polarimetry
(120.5410) Instrumentation, measurement, and metrology : Polarimetry
(230.5440) Optical devices : Polarization-selective devices

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: July 19, 2013
Revised Manuscript: November 21, 2013
Manuscript Accepted: November 21, 2013
Published: December 6, 2013

Citation
Emanuel Chironi and Claudio Iemmi, "Bounding the relative errors associated with a complete Stokes polarimeter," J. Opt. Soc. Am. A 31, 75-80 (2014)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-1-75

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