2001
DOI: 10.1364/ao.40.000400
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Monte Carlo and multicomponent approximation methods for vector radiative transfer by use of effective Mueller matrix calculations

Abstract: For single scattering in a turbid medium, the Mueller matrix is the 4 x 4 matrix that multiplies the incident Stokes vector to yield the scattered Stokes vector. This matrix contains all the information that can be obtained from an elastic-scattering system. We have extended this concept to the multiple-scattering domain where we can define an effective Mueller matrix that, when operating on any incident state of light, will yield the output state. We have calculated this matrix using two completely different … Show more

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Cited by 155 publications
(60 citation statements)
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“…For the retrieval of optical snow grain size from satellite data, snow-atmosphere radiative interactions have to be taken into account by employing an atmosphere model as described in Zege et al (2011). The effect of the atmosphere has been removed by employing the radiative transfer model RAY (Tynes et al, 2001) using the subarctic winter atmospheric model (Kneizys et al, 1996) and the Arctic background aerosol model (Tomasi et al, 2007) for constant atmospheric conditions. The effect of the very low pollution in Antarctica (e.g., AOD of 0.015 at 500 nm at Kohnen station; Tomasi et al, 2007) onto the retrieval is considered to be negligible at the retrieval channels.…”
Section: Instrumentmentioning
confidence: 99%
“…For the retrieval of optical snow grain size from satellite data, snow-atmosphere radiative interactions have to be taken into account by employing an atmosphere model as described in Zege et al (2011). The effect of the atmosphere has been removed by employing the radiative transfer model RAY (Tynes et al, 2001) using the subarctic winter atmospheric model (Kneizys et al, 1996) and the Arctic background aerosol model (Tomasi et al, 2007) for constant atmospheric conditions. The effect of the very low pollution in Antarctica (e.g., AOD of 0.015 at 500 nm at Kohnen station; Tomasi et al, 2007) onto the retrieval is considered to be negligible at the retrieval channels.…”
Section: Instrumentmentioning
confidence: 99%
“…The MPD algorithm has been preliminarily verified numerically, using a synthetic data set of top of atmosphere radiances from melting Arctic ice as the input of a satellite spectral instrument. This data set was computed with software developed based on the radiative transfer code RAY (Tynes et al, 2001;Kokhanovsky et al, 2010) for calculating signals reflected by the melting sea ice-atmosphere system. Thus the radiances in the MERIS spectral channels were simulated for a set of ice pixels for a few typical situations, including "standard" white ice, bright ice (snowcovered), as well as dark-and light-blue melt ponds.…”
Section: Data Usedmentioning
confidence: 99%
“…The phase matrix used in C-PMC is given by P S (Θ)=R(Ψ)F S (Θ)R(Φ), where R is a rotation matrix and Ψ and Φ are angles describing the rotation of the incident and scattered parallel beams from the frame of the scattering plane to the laboratory frame [6,7].…”
Section: Methodsmentioning
confidence: 99%