Estimation precision of the degree of linear polarization and of the angle of polarization in the presence of different sources of noise

Applied Optics
François Goudail, Arnaud Bénière

Abstract

We consider imaging systems that measure the three first elements of the Stokes vector and deduce from them the degree of linear polarization and the angle of polarization. They require the acquisition of at least three intensity measurements, but performing more measurements is often thought to improve the estimation precision. We show that if the total acquisition time is fixed, the optimal number of measurements depends on the type of noise that affects the image: the estimation variance increases with the number of measurements N when the noise is additive; it is independent of N in the presence of Poisson shot noise and decreases with N when the angles of the analyzers fluctuate. In general, the optimal number of measurements results from a compromise on the robustness of these different types of perturbations.

References

May 15, 2002·Applied Optics·Matthew H Smith
Sep 24, 2004·IEEE Transactions on Pattern Analysis and Machine Intelligence·Daisuke MiyazakiKatsushi Ikeuchi
Jul 21, 2006·Applied Optics·J Scott TyoJoseph A Shaw
Oct 24, 2007·Applied Optics·Yoshitate Takakura, Jawad Elsayed Ahmad
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Citations

Dec 18, 2010·Optics Express·Robert Perkins, Viktor Gruev
Sep 11, 2019·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Jun Dai, François Goudail
Aug 18, 2018·Applied Optics·Nathan Hagen
Aug 18, 2018·Applied Optics·Philip BirchChris Chatwin
Oct 18, 2012·Optics Letters·Christophe StolzFabrice Meriaudeau
Sep 22, 2011·Optics Express·Charles F LaCasseJ Scott Tyo
Apr 24, 2013·Optics Express·Hui DongYandong Gong
Sep 11, 2019·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Jun Dai, François Goudail
May 29, 2018·Optics Express·Quentin AilloudClaude Amra

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