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Delo-bezier formal solutions of the polarized radiative transfer equation
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Space Plasma Physics.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Observational Astronomy. (Observationell astrofysik)
2013 (English)In: Astrophysical Journal, ISSN 0004-637X, E-ISSN 1538-4357, Vol. 764, no 1, 33- p.Article in journal (Refereed) Published
Abstract [en]

We present two new accurate and efficient methods to compute the formal solution of the polarized radiative transfer equation. In this work, the source function and the absorption matrix are approximated using quadratic and cubic Bezier spline interpolants. These schemes provide second- and third-order approximations, respectively, and do not suffer from erratic behavior of the polynomial approximation (overshooting). The accuracy and the convergence of the new method are studied along with other popular solutions of the radiative transfer equation, using stellar atmospheres with strong gradients in the line-of-sight velocity and in the magnetic-field vector.

Place, publisher, year, edition, pages
2013. Vol. 764, no 1, 33- p.
Keyword [en]
line: profiles, magnetic fields, polarization, radiative transfer, stars: atmospheres
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:uu:diva-196533DOI: 10.1088/0004-637X/764/1/33ISI: 000314335200033OAI: oai:DiVA.org:uu-196533DiVA: diva2:610854
Available from: 2013-03-13 Created: 2013-03-11 Last updated: 2017-12-06Bibliographically approved

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Rodriguez, Jaime de la CruzPiskunov, Nikolai

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