Tanaka Tasuku
Affiliate Master
Yamaguchi University
Solution of radiative transfer in anisotropic plane-parallel atmosphere
Journal of quantitative spectroscopy and radiative transfer Volume 83 Issue 3-4
Page 555-577
published_at 2004-02
Title
Solution of radiative transfer in anisotropic plane-parallel atmosphere
Creators
Wang Menghua
Creator Keywords
Solution of Chandrasekhar integral equation
Radiative transfer process
Anisotropic atmosphere
Iterative integration
Satellite remotesensing
Inversion problem
We solve the radiative transfer problem analytically in the anisotropic, plane-parallel atmosphere. Chandrasekhar formalized the radiative transfer process as a simultaneous, two-variable, non-linear, integral equation and obtained the analytical solution of the second approximation for the isotropic plane-parallel atmosphere. We obtain the second approximation for the anisotropic atmosphere, by integrating the first approximation multiplied by weighting functions which are products of the scattering phase functions. We truncate the second approximation and obtain the radiance at the top of the atmosphere as a quadratic equation with a logarithmic term in the optical thickness. We evaluate the second approximation of the radiance at the top of the atmosphere for Rayleigh scattering and the maritime aerosol atmosphere and compare them with both the exact solution and the single scattering approximation.
Languages
eng
Resource Type
journal article
Publishers
Elsevier
Date Issued
2004-02
Rights
Copyright c2003 Elsevier Ltd. All rights reserved.()
File Version
Author’s Original
Access Rights
open access
Relations
[ISSN]0022-4073
[NCID]AA0070576X
[isPartOf]
[URI]http://www.sciencedirect.com/science/journal/00224073
Schools
大学院理工学研究科（工学）