On the accuracy of the ALI method for solving the radiative transfer equation

Details On the accuracy of the ALI method for solving the radiative transfer equation On the accuracy of the ALI method for solving the radiative transfer equation

2006-01-16

arxiv.org/abs/astro-ph/0601341v1

Astronomy and Astrophysics

Astrophysics

7 pages, 11 figures, A&A, accepted 30 July 2003, minor corrections

Scientific paper

10.1051/0004-6361:20031240

We solve the integral equation describing the propagation of light in an isothermal plane-parallel atmosphere of optical thickness $\tau^*$, adopting a uniform thermalization parameter $\epsilon$. The solution given by the ALI method, widely used in the field of stellar atmospheres modelling, is compared to the exact solution. Graphs are given that illustrate the accuracy of the ALI solution as a function of the parameters $\epsilon$, $\tau^*$ and optical depth variable $\tau$.

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