Radiative Transfer - Solutions To The Equation of Radiative Transfer

Solutions To The Equation of Radiative Transfer

Solutions to the equation of radiative transfer form an enormous body of work. The differences however, are essentially due to the various forms for the emission and absorption coefficients. If scattering is ignored, then a general solution in terms of the emission and absorption coefficients may be written:

I_\nu(s)=I_\nu(s_0)e^{-\tau_\nu(s_0,s)}+\int_{s_0}^s j_\nu(s') e^{-\tau_\nu(s',s)}\,ds'

where is the optical depth of the medium between positions and :

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