Radiation transfer in an inhomogeneous medium. optical depth depending on absorption coefficient

The invariance principle is applied to obtain the equations for finding the radiation field intensity in an inhomogeneous atmosphere. Though the behavior of the inhomogeneity is not specified, the absorption coefficient is assumed to depend on the optical depth. Such kind of depth dependence is need...

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Bibliographic Details
Published in:Astrophysics Vol. 55; no. 2; pp. 251 - 260
Main Authors: Alecian, G., Harutynian, H. A.
Format: Journal Article
Language:English
Published: Boston Springer US 01-06-2012
Springer
Springer Nature B.V
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Summary:The invariance principle is applied to obtain the equations for finding the radiation field intensity in an inhomogeneous atmosphere. Though the behavior of the inhomogeneity is not specified, the absorption coefficient is assumed to depend on the optical depth. Such kind of depth dependence is needed because this case exists when the elemental diffusion is considered in the atmospheres of Ap stars. The corresponding equations are obtained for solution by numerical methods.
ISSN:0571-7256
1573-8191
DOI:10.1007/s10511-012-9233-x