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Published March 20, 2012 | Published
Journal Article Open

Polarized Light Reflected and Transmitted by Thick Rayleigh Scattering Atmospheres

Abstract

Accurate values for the intensity and polarization of light reflected and transmitted by optically thick Rayleigh scattering atmospheres with a Lambert surface underneath are presented. A recently reported new method for solving integral equations describing Chandrasekhar's X- and Y-functions is used. The results have been validated using various tests and techniques, including the doubling-adding method, and are accurate to within one unit in the eighth decimal place. Tables are stored electronically and expected to be useful as benchmark results for the (exo)planetary science and astrophysics communities. Asymptotic expressions to obtain Stokes parameters for a thick layer from those of a semi-infinite atmosphere are also provided.

Additional Information

© 2012 The American Astronomical Society. Received 2011 August 6, accepted for publication 2011 December 12. Published 2012 March 2. Part of the research described in this paper was carried out at the Jet Propulsion Laboratory at the California Institute of Technology, under a contract with the National Aeronautics and Space Administration and funded through the internal Research and Technology Development program. The authors thank Dr. Wim de Rooij for providing his code to compute the H-matrix; Dr. Johan de Haan for the DAK code; Dr. Robert Spurr for the VLIDORT code; Prof. Yuk Yung, Ms. Irma Black, Mr. George Porter and Ms. Kathy Johnson for providing access to the two Web sites for hosting the Stokes parameter and basic function results; and the reviewer for helpful comments.

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August 22, 2023
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