フルテキストURL  2007020198.pdf ( 168.9KB ) 公開日 20100416

タイトル  A solution of radiative transfer in isotropic planeparallel 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 planeparallel 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 exponentiallike 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 
ISSN  00224073

NCID  AA0070576X

掲載誌名  Journal of quantitative spectroscopy and radiative transfer 
巻  95 
号  1 
開始ページ  71 
終了ページ  91 
発行日  200509 
DOI  info: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ID  2007020198 
地域区分  山口大学

URI  http://www.lib.yamaguchiu.ac.jp/yunoca/handle/2007020198 