Optimal polarimeter structures for estimating polarization degree, angle, and ellipticity in the presence of additive noise

Optics Letters
François Goudail, Jun Dai

Abstract

In polarimetry, it is well known that measurement matrices based on spherical 2 designs optimize Stokes vector estimation in the presence of additive noise. We investigate the optimal matrices for estimation of the degree of polarization (DOP), the angle of polarization (AOP), and the ellipticity (EOP), which are nonlinear functions of the Stokes vector. We demonstrate that spherical 2 designs also optimize DOP and EOP estimation, but not AOP estimation, for which optimal structures consist of linear analyzers forming a regular polygon on the equator of the Poincaré sphere.

References

Dec 8, 2007·Optics Letters·D S SabatkeG S Phipps
Dec 10, 2009·Optics Express·David Lara, Carl Paterson
Oct 10, 2013·Optics Express·S Bear Powell, Viktor Gruev
Jan 15, 2016·Physical Review Letters·Matthew R ForemanAndrea Aiello
Aug 18, 2018·Applied Optics·Nathan Hagen
Sep 11, 2019·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Jun Dai, François Goudail
Sep 11, 2019·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Jun Dai, François Goudail

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