A simple approximation forJ v (σ v ,κ v ,τ v ,B v ), and its application for temperature-correction procedures

Astronomy and Astrophysics – Astrophysics

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For the case of isotropic coherent scattering plus absorption a simple expression is given (Equation 12) to compute the mean intensity of the radiationJ v (as a function of optical depth τ v ) if the scattering coefficient σ v , the absorption coefficientK v and the Planck functionB v are given as a function of depth. In general the accuracy of this approximation is of the order of a few percent. A fairly simple temperature-correction procedure for the case when scattering is important is described.

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