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Title:
Stokes profile analysis and vector magnetic fields. II - Formal numerical solutions of the Stokes transfer equations
Authors:
Rees, D. E.; Durrant, C. J.; Murphy, G. A.
Affiliation:
AA(Sydney, University, Australia), AB(Sydney, University, Australia), AC(High Altitude Observatory, Boulder, CO)
Publication:
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 339, April 15, 1989, p. 1093-1106. Research supported by the High Altitude Observatory, University of Hawaii, and Australian Research Grants Scheme. (ApJ Homepage)
Publication Date:
04/1989
Category:
Solar Physics
Origin:
STI
NASA/STI Keywords:
RADIATIVE TRANSFER, SOLAR MAGNETIC FIELD, SOLAR SPECTRA, ZEEMAN EFFECT, CALCIUM, DIFFERENTIAL EQUATIONS, K LINES, SOLAR ATMOSPHERE, STOKES LAW OF RADIATION, THERMODYNAMIC EQUILIBRIUM
DOI:
10.1086/167364
Bibliographic Code:
1989ApJ...339.1093R

Abstract

Two numerical methods for formal integration of the Stokes transfer equations for line formation in a strong magnetic field were tested by computing Stokes profiles for a Zeeman triplet in a Milne-Eddington model atmosphere, and for the anomalously split Ca II K line in a realistic solar model. The first method is a Feautrier (1964) type method, in which the equations are written in second-order form and solved by finite-differences. The second method is a new solution called DELO, in which an integral equation for the Stokes vector is formulated in terms of the lambda operator (LO) associated with the diagonal elements (DE) of the absorption matrix. It is shown that the DELO method is faster and more accurate than the Feautrier method, and that both methods are more efficient than the Runge-Kutta integration method.

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