Unsteady radiative transfer in dispersive media

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Light Scattering, Optical Resonance, Radiative Transfer, Scattering Functions, Astrophysics, Luminescence, Unsteady State

Scientific paper

The unsteady radiation field in steady-state homogeneous media is examined. A method is proposed for calculating the temporal moments of the functions which determine the unsteady emission. A set of formulas for those moments during arbitrary excitation of the medium is obtained and used to find general expressions for the average duration of luminescence and the dispersion. The values of these two parameters are calculated for the cases of a plane-parallel layer and a sphere subjected to various types of excitation. A relation between the average duration of luminescence and the average number of photon scatterings in the sphere is discovered for certain modes of excitation. The effect of the finite value of the speed of light on unsteady resonance radiation is estimated. The average luminescence time of the sphere is computed for the case where a point source at its center undergoes an instantaneous flash.

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