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Markov chain formalism for generalized radiative transfer in a plane-parallel medium, accounting for polarization

Xu, Feng and Davis, Anthony B. and Diner, David J. (2016) Markov chain formalism for generalized radiative transfer in a plane-parallel medium, accounting for polarization. Journal of Quantitative Spectroscopy and Radiative Transfer, 184 . pp. 14-26. ISSN 0022-4073. https://resolver.caltech.edu/CaltechAUTHORS:20160705-144924465

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Abstract

A Markov chain formalism is developed for computing the transport of polarized radiation according to Generalized Radiative Transfer (GRT) theory, which was developed recently to account for unresolved random fluctuations of scattering particle density and can also be applied to unresolved spectral variability of gaseous absorption as an improvement over the standard correlated-k method. Using Gamma distribution to describe the probability density function of the extinction or absorption coefficient, a shape parameter a that quantifies the variability is introduced, defined as the mean extinction or absorption coefficient squared divided by its variance. It controls the decay rate of a power-law transmission that replaces the usual exponential Beer-Lambert-Bouguer law. Exponential transmission, hence classic RT, is recovered when a→∞. The new approach is verified to high accuracy against numerical benchmark results obtained with a custom Monte Carlo method. For a<∞, angular reciprocity is violated to a degree that increases with the spatial variability, as observed for finite portions of real-world cloudy scenes. While the degree of linear polarization in liquid water cloudbows, supernumerary bows, and glories is affected by spatial heterogeneity, the positions in scattering angle of these features are relatively unchanged. As a result, a single-scattering model based on the assumption of subpixel homogeneity can still be used to derive droplet size distributions from polarimetric measurements of extended stratocumulus clouds.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/j.jqsrt.2016.06.004DOIArticle
http://www.sciencedirect.com/science/article/pii/S0022407316301753PublisherArticle
ORCID:
AuthorORCID
Xu, Feng0000-0001-5155-9478
Diner, David J.0000-0001-8102-7616
Additional Information:© 2016 Elsevier B.V. Received 3 April 2016, Revised 1 June 2016, Accepted 1 June 2016, Available online 22 June 2016.
Subject Keywords:Generalized radiative transfer; Polarized radiative transfer; Markov chain formalism; Stochastic optical media; Non-exponential transmission laws; Angular reciprocity; Clouds; Remote sensing
Record Number:CaltechAUTHORS:20160705-144924465
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160705-144924465
Official Citation:Feng Xu, Anthony B. Davis, David J. Diner, Markov chain formalism for generalized radiative transfer in a plane-parallel medium, accounting for polarization, Journal of Quantitative Spectroscopy and Radiative Transfer, Volume 184, November 2016, Pages 14-26, ISSN 0022-4073, https://doi.org/10.1016/j.jqsrt.2016.06.004. (http://www.sciencedirect.com/science/article/pii/S0022407316301753)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:68835
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:06 Jul 2016 02:50
Last Modified:09 Mar 2020 13:19

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