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フルテキストURL2007020198.pdf ( 168.9KB ) 公開日 2010-04-16
タイトルA solution of radiative transfer in isotropic plane-parallel atmosphere by integrating Milne equation
作成者Tanaka, Tasuku
作成者ヨミタナカ, タスク
作成者別表記田中, 佐
作成者所属山口大学大学院理工学研究科(工学)
内容記述(抄録等)In this paper we solve the inversion problem of the radiative transfer process in the isotropic plane-parallel atmosphere by iterative integrations of the Milne integral equation. As a result, we obtain the scattering function in the form of a cubic polynomial in optical thickness. The author has already solved the same problem by iterative integrations of Chandrasekhar's integral equation. In the Milne integral equation, both the cosines of the viewing angles and the optical thickness are integral variables, while in Chandrasekhar's integral equation the cosines of the viewing angles are variables but the optical thickness is not. We derive several series of exponential-like functions as intermediate derivations. Their convergences are evaluated by the author's previous work in the solution of Chandrasekhar's integral equation. The truncated scattering function up to the third order in optical thickness thus obtained is identical to that obtained from Chandrasekhar's integral equation, though their apparent forms are different. Chandrasekhar pointed out that the solution of Chandrasekhar's integral equation does not have a uniqueness of solution. The Milne equation, in contrast, has been proven to have a unique solution. We discuss the uniqueness of the solution by these two methods.
本文言語eng
著者キーワードRadiative transfer
Milne integral equation
Chandrasekhar's integral equation
Iterative integration
資料タイプtext
ファイル形式application/pdf
出版者Elsevier
NII資料タイプ学術雑誌論文
査読の有無査読あり
ISSN0022-4073
NCIDAA0070576X
掲載誌名Journal of quantitative spectroscopy and radiative transfer
95
1
開始ページ71
終了ページ91
発行日2005-09
DOIinfo:doi/10.1016/j.jqsrt.2004.09.035
関連情報URL(IsPartOf)http://www.sciencedirect.com/science/journal/00224073
権利関係Copyright c2004 Elsevier Ltd All rights reserved.
著者版/出版社版著者版
リポジトリID2007020198
地域区分山口大学
URIhttp://www.lib.yamaguchi-u.ac.jp/yunoca/handle/2007020198