Errors of Mueller matrix measurements with a partially polarized light source

Nee, Soe-Mie F.

doi:10.1364/ao.45.006497

Cited by 7 publications

(2 citation statements)

References 20 publications

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“…85), which we call Δ90 calibration. The method of 90° different polariser angles to reduce errors in polarimetric measurements seems to be common in ellipsometry (Nee, 2006). While the two calibration signals I T and I R are taken at the same time, the two measurements for the Δ90 calibration at…”

Section: Freudenthaler: About the Effects Of Polarising Opticsmentioning

confidence: 99%

About the effects of polarising optics on lidar signals and the Δ90 calibration

2016

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Abstract. This paper provides a model for assessing the effects of polarising optics on the signals of typical lidar systems, which is based on the description of the individual optical elements of the lidar and of the state of polarisation of the light by means of the Müller–Stokes formalism. General analytical equations are derived for the dependence of the lidar signals on polarisation parameters, for the linear depolarisation ratio, and for the signals of different polarisation calibration setups. The equations can also be used for the calculation of systematic errors caused by nonideal optical elements, their rotational misalignment, and by non-ideal laser polarisation. We present the description of the lidar signals including the polarisation calibration in a closed form, which can be applied for a large variety of lidar systems.

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Section: Freudenthaler: About the Effects Of Polarising Opticsmentioning

confidence: 99%

About the effects of polarising optics on lidar signals and the Δ90 calibration

2016

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“…This is an important issue that has been partially treated in the past, either considering how the uncertainty in the measurement of I out propagates to the demodulated Stokes vector when the modulation matrix is perfectly known [13,14] or taking into account uncertainties in the knowledge of the modulation matrix, though the full covariance matrix is not obtained [15,16]. Many papers also deal with how error is propagated in non-ideal Mueller matrix polarimeters [17,18] while others consider the optimization of such polarimeters [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Error propagation in polarimetric demodulation

Ramos

Collados

2008

Appl. Opt.

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The polarization analysis of the light is typically carried out using modulation schemes. The light of unknown polarization state is passed through a set of known modulation optics and a detector is used to measure the total intensity passing the system. The modulation optics is modified several times and, with the aid of such several measurements, the unknown polarization state of the light can be inferred. How to find the optimal demodulation process has been investigated in the past. However, since the modulation matrix has to be measured for a given instrument and the optical elements can present problems of repeatability, some uncertainty is present in the elements of the modulation matrix and/or covariances between these elements. We analyze in detail this issue, presenting analytical formulae for calculating the covariance matrix produced by the propagation of such uncertainties on the demodulation matrix, on the inferred Stokes parameters and on the efficiency of the modulation process. We demonstrate that, even if the covariance matrix of the modulation matrix is diagonal, the covariance matrix of the demodulation matrix is, in general, non-diagonal because matrix inversion is a nonlinear operation. This propagates through the demodulation process and induces correlations on the inferred Stokes parameters.

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Error analysis of a simple and accurate optical coherent ellipsometer

Nee¹,

et al. 2008

Physica Status Solidi (a)

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The polarization modulation of optical coherent ellipsometry (OCE) is provided by the coupling between two highly correlated orthogonal polarizations with slightly different frequencies. Error of the sample‐analyzer (SA) OCE is analyzed using the Stokes–Mueller formalism to include samples with roughness. Sample's depolarization will degrade the coherency of the incident two‐frequency laser beam, and the degradation is more serious for smaller sin 2ψ. For the simplest SA OCE with the analyzer angle at 45° from both polarizations, the misalignment of the analyzer affects only the measured dc signal but not the beat signal; and the extinction of the analyzer affects only the beat signal but not the dc signal. This SA OCE is used to measure the polarization properties for a few samples to demonstrate its applicability. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Errors of Mueller matrix measurements with a partially polarized light source

Cited by 7 publications

References 20 publications

About the effects of polarising optics on lidar signals and the Δ90 calibration

About the effects of polarising optics on lidar signals and the Δ90 calibration

Error propagation in polarimetric demodulation

Error analysis of a simple and accurate optical coherent ellipsometer

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