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Stokes polarimeter optimization in the presence of shot and Gaussian noise.

Lara D, Paterson C - Opt Express (2009)

Bottom Line: The expectation of the Stokes vector variance is used as a performance measure.This measure is compared with the condition number of a polarization state analyzer matrix that is commonly used as a figure of merit.The approach is used to optimize existing prism based polarimeters giving improvements in the performance when shot-noise cannot be neglected.

View Article: PubMed Central - PubMed

Affiliation: The Blackett Laboratory, Imperial College London, SW7 2BW, UK. d.lara@imperial.ac.uk

ABSTRACT
An error minimization method is presented for Stokes polarimeters applicable when the detected signals are affected by a combination of shot and Gaussian noise. The expectation of the Stokes vector variance is used as a performance measure. This measure is compared with the condition number of a polarization state analyzer matrix that is commonly used as a figure of merit. We show that a polarimeter with the minimum condition number is not necessarily optimal. The approach is used to optimize existing prism based polarimeters giving improvements in the performance when shot-noise cannot be neglected.

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Related in: MedlinePlus

(Color online) Compain polarimeter. (a) and (b) as per Figure 3.
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fig04: (Color online) Compain polarimeter. (a) and (b) as per Figure 3.

Mentions: The last three elements on each row of the instrument matrix are coordinates of eigenvectors of the polarization detectors in the PSA. These vectors, normalized to unit magnitude, are plotted as bold dots on the surface of the Poincaré spheres of Figs. 3(a), 4(a), and 5(a).


Stokes polarimeter optimization in the presence of shot and Gaussian noise.

Lara D, Paterson C - Opt Express (2009)

(Color online) Compain polarimeter. (a) and (b) as per Figure 3.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC3369578&req=5

fig04: (Color online) Compain polarimeter. (a) and (b) as per Figure 3.
Mentions: The last three elements on each row of the instrument matrix are coordinates of eigenvectors of the polarization detectors in the PSA. These vectors, normalized to unit magnitude, are plotted as bold dots on the surface of the Poincaré spheres of Figs. 3(a), 4(a), and 5(a).

Bottom Line: The expectation of the Stokes vector variance is used as a performance measure.This measure is compared with the condition number of a polarization state analyzer matrix that is commonly used as a figure of merit.The approach is used to optimize existing prism based polarimeters giving improvements in the performance when shot-noise cannot be neglected.

View Article: PubMed Central - PubMed

Affiliation: The Blackett Laboratory, Imperial College London, SW7 2BW, UK. d.lara@imperial.ac.uk

ABSTRACT
An error minimization method is presented for Stokes polarimeters applicable when the detected signals are affected by a combination of shot and Gaussian noise. The expectation of the Stokes vector variance is used as a performance measure. This measure is compared with the condition number of a polarization state analyzer matrix that is commonly used as a figure of merit. We show that a polarimeter with the minimum condition number is not necessarily optimal. The approach is used to optimize existing prism based polarimeters giving improvements in the performance when shot-noise cannot be neglected.

Show MeSH
Related in: MedlinePlus