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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 25 — Dec. 7, 2009
  • pp: 23044–23057

Optimum input states of polarization for Mueller matrix measurement in a system having finite polarization-dependent loss or gain

H. Dong, Y. D. Gong, Varghese Paulose, P. Shum, and Malini Olivo  »View Author Affiliations


Optics Express, Vol. 17, Issue 25, pp. 23044-23057 (2009)
http://dx.doi.org/10.1364/OE.17.023044


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Abstract

We present the theoretical and simulation results of the relationship between three input states of polarization (SOP) and the Mueller matrix measurement error in an optical system having birefringence and finite polarization-dependent loss or gain (PDL/G). By using the condition number as the criterion, it can be theoretically demonstrated that the three input SOPs should be equally-spaced on the Poincaré sphere and centered on the reversed PDL/G vector to achieve better measurement accuracy in a single test. Further, an upper bound of the mean of the Mueller matrix measurement error is derived when the measurement errors of output Stokes parameters independently and identically follow the ideal Gaussian distribution. This upper bound also shows that the statistically best Mueller matrix measurement accuracy can be obtained when the three input SOPs have the same relationship mentioned above. Simulation results confirm the validity of the theoretical findings.

© 2009 OSA

OCIS Codes
(060.2300) Fiber optics and optical communications : Fiber measurements
(060.2310) Fiber optics and optical communications : Fiber optics
(260.3090) Physical optics : Infrared, far
(260.5430) Physical optics : Polarization

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: August 31, 2009
Revised Manuscript: November 9, 2009
Manuscript Accepted: November 9, 2009
Published: December 2, 2009

Citation
H. Dong, Y. D. Gong, Varghese Paulose, P. Shum, and Malini Olivo, "Optimum input states of polarization for Mueller matrix measurement in a system having finite polarization-dependent loss or gain," Opt. Express 17, 23044-23057 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-25-23044


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References

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