Noise equalization in Stokes parameter images obtained by use of variable-retardance polarimeters

Tyo, J. Scott

doi:10.1364/ol.25.001198

Cited by 151 publications

(119 citation statements)

References 7 publications

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“…We observe that the conditional number is not affected by increasing the number of analyzers, showing an almost constant value. In fact, the value obtained for the different optimized polarimeter configurations is very similar to the one obtained in Ref [24]. (CN = 3 ), where a polarimeter with four polarization analyzers is optimized.…”

Section: Polarimeter Optimization Processsupporting

confidence: 85%

Optimization and performance criteria of a Stokes polarimeter based on two variable retarders

Peinado¹,

Lizana²,

Vidal³

et al. 2010

Opt. Express

109

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Abstract:In this paper we present the analysis, optimization and implementation of several Stokes polarimeter configurations based on a setup including two variable retarders. The polarimeter analysis is based on the Mueller-Stokes formalism, and as a consequence, it is suitable to deal with depolarized light. Complete Stokes polarimeters are optimized by minimizing the amplification of simulated errors into the final solution. Different indicators useful to achieve this aim, as the condition number or the equally weighted variance, are compared in this paper. Moreover, some of the optimized polarimeters are experimentally implemented and it is studied the influence of small deviations from the theoretical ones on the amplification of the Stokes component error. In addition, the benefit of using incomplete polarimeters, when detecting specific ranges of states of polarization, is discussed.

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Section: Polarimeter Optimization Processsupporting

confidence: 85%

Optimization and performance criteria of a Stokes polarimeter based on two variable retarders

Peinado¹,

Lizana²,

Vidal³

et al. 2010

Opt. Express

109

View full text Add to dashboard Cite

show abstract

“…This design is aimed at minimising the noise in the final Mueller matrices M λ for a given additive noise in the raw intensity measurements B λ . Moreover, with this optimised design, it can be shown [8] that the noise is equally distributed among the various elements of M λ , as all raw data elements do contribute with comparable weights in each element of the final Mueller matrix. More detailed description of MM16 polarimeter including the method of calibration can be found in [9].…”

Section: Methodsmentioning

confidence: 99%

Critical dimension of biperiodic gratings determined by spectral ellipsometry and Mueller matrix polarimetry

Foldyna

Martino

Garcia-Caurel

et al. 2008

Eur. Phys. J. Appl. Phys.

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Abstract. We characterized two samples consisting of photoresist layers on silicon with square arrays of square holes by spectroscopic ellipsometry (SE) and Mueller matrix polarimetry (MMP). Hole lateral dimensions and depths were determined by fitting either SE data taken in conventional planar geometry or MMP data in general conical diffraction configurations. A method for objective determination of the optimal measurement conditions based on sensitivity and parameter correlations is presented. When applied to MMP, this approach showed that for one of the samples the optimal incidence angle was 45• , much below the widely used 70• value. The robustness of the dimensional characterisation based on MMP is demonstrated by the high stability of the results provided by separated fits of the data taken at different azimuthal angles. PACS

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“…Let us define the matrix W whose lines are the Stokes vectors of the four analysis states. These four states of polarization are usually chosen so as to minimize the variance of the estimated Stokes vector [7,8]. The 4 measured intensities can be stacked in fours dimensional vectors: …”

Section: Contrast In Stokes Imagingmentioning

confidence: 99%

Comparative study of the best achievable contrast in scalar, Stokes and Mueller images

Goudail

Bénière

Alouini

et al. 2010

EPJ Web of Conferences

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Abstract.We compare the relative performance of different active polarimetric imaging architectures for target detection applications. We show that if the noise that affects the measurements is additive and if the only relevant parameter is the contrast between an object of interest and a background with different Mueller matrices, the most efficient imaging architecture consists in acquiring a single intensity image while optimizing the illumination and analysis states of polarization.

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Noise equalization in Stokes parameter images obtained by use of variable-retardance polarimeters

Cited by 151 publications

References 7 publications

Optimization and performance criteria of a Stokes polarimeter based on two variable retarders

Optimization and performance criteria of a Stokes polarimeter based on two variable retarders

Critical dimension of biperiodic gratings determined by spectral ellipsometry and Mueller matrix polarimetry

Comparative study of the best achievable contrast in scalar, Stokes and Mueller images

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