DELO-BEZIER FORMAL SOLUTIONS OF THE POLARIZED RADIATIVE TRANSFER EQUATION

被引：80

作者：

Rodriguez, J. de la Cruz ^{[1
]}

Piskunov, N. ^{[1
]}

机构：

[1] Uppsala Univ, Dept Phys & Astron, Box 516, SE-75120 Uppsala, Sweden

来源：

ASTROPHYSICAL JOURNAL | 2013年 / 764卷 / 01期

关键词：

line: profiles; magnetic fields; polarization; radiative transfer; stars: atmospheres; STOKES PROFILES; INVERSION; LINES;

D O I：

10.1088/0004-637X/764/1/33

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页数：10

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