Integral form of the time-dependent radiation transfer equation. I - Inhomogeneous slabs

Physics

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Integral Equations, Radiative Transfer, Time Dependence, Transfer Functions, Cartesian Coordinates, Inhomogeneity, Optical Thickness

Scientific paper

A systematic technique is developed for dealing with the time-dependent radiation transfer equation. In particular, the one-dimensional Cartesian equation for the photon intensity is considered where all the variables are measured and expressed in the laboratory frame of reference. This equation is solved inside a nonscattering medium emitting and absorbing radiation inhomogeneously and on a time-dependent basis. The solution is generalized to a nonisotropic medium.

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