MATRIX EXPONENTIAL SOLUTION OF THE EQUATION OF POLARIZED RADIATIVE-TRANSFER

Authors
DITTMANN OJ
Citation
Oj. Dittmann, MATRIX EXPONENTIAL SOLUTION OF THE EQUATION OF POLARIZED RADIATIVE-TRANSFER, Journal of quantitative spectroscopy & radiative transfer, 58(2), 1997, pp. 279-286
Citations number
22
Categorie Soggetti
Spectroscopy
Journal title
Journal of quantitative spectroscopy & radiative transfer → ACNP
ISSN journal
00224073
Volume
58
Issue
2
Year of publication
1997
Pages
279 - 286
Database
ISI
SICI code
0022-4073(1997)58:2<279:MESOTE>2.0.ZU;2-4
Abstract
We present a new way to solve the equation of polarized radiative tran sfer in the Stokes formalism. The solution is written in terms of the matrix exponential function and a simple explicit expression for it is given. This formal solution can be solved analytically for any elemen tary integrable source functions or be used as a step in a numerical i ntegration. As an example, the Unno solution is derived in a very eleg ant way. (C) 1997 Elsevier Science Ltd.