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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) Six-detector polarimeter. (a) and (b) as per Fig. 3.
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fig05: (Color online) Six-detector polarimeter. (a) and (b) as per Fig. 3.

Mentions: In this paper the cost function is evaluated numerically. The particular method we choose is to sample the states of polarization along a spiral locus around the Poincaré sphere with the spiral locus and azimuthal sampling chosen to give approximately uniform distribution of samples over the sphere (Fig. 2). By mapping samples to a one-parameter locus this method also makes it straightforward to show the behavior over the whole sphere on a simple plot, as will be seen later in Figs. 3–5.


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

Lara D, Paterson C - Opt Express (2009)

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

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

fig05: (Color online) Six-detector polarimeter. (a) and (b) as per Fig. 3.
Mentions: In this paper the cost function is evaluated numerically. The particular method we choose is to sample the states of polarization along a spiral locus around the Poincaré sphere with the spiral locus and azimuthal sampling chosen to give approximately uniform distribution of samples over the sphere (Fig. 2). By mapping samples to a one-parameter locus this method also makes it straightforward to show the behavior over the whole sphere on a simple plot, as will be seen later in Figs. 3–5.

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