Exact solution of a problem in a stellar atmosphere using the Laplace transform and the Wiener-Hopf technique

Astronomy and Astrophysics – Astrophysics

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Atmospheric Models, Atmospheric Scattering, Laplace Transformation, Radiative Transfer, Stellar Atmospheres, Wiener Hopf Equations, Anisotropic Media, Astronomical Models, Electromagnetic Absorption, Optical Thickness, Thermal Emission

Scientific paper

The general equation for radiative transfer of line scattering intensity - including the effects of scattering, absorption and thermal emission - in the Milne-Eddington model is considered here. The scattering function is assumed to be quadratically anisotropic in the cosine of the scattering angle, and Planck's intensity function is assumed for thermal emission. The exact solutions for emergent intensity from the bounding face and the intensity at any optical depth are obtained by the method of the Laplace transform in combination with the Wiener-Hopf technique.

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