Effect of the time spent by the photon in the absorbed state on the time-dependent transfer of radiation

Astronomy and Astrophysics – Astrophysics

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Atomic Interactions, Photon Absorptiometry, Pulsed Radiation, Radiation Transport, Time Dependence, Accretion Disks, Active Galactic Nuclei, Mean Free Path, Supernovae, Transfer Functions

Scientific paper

The time-dependent transfer equation is derived for a two-level atomic model which takes both bound-bound and bound-free transitions into account. A numerical scheme is proposed for solving the monochromatic time-dependent transfer equation when the time spent by the photon in the absorbed state is significant. The method can be easily extended to solve the problem of time-dependent line formation of the bound-free continuum. It is used here to study three types of boundary conditions of the incident radiation incident on a scattering atmosphere. The quantitative results show that the relaxation of the radiation field depends on the optical depth of the medium and on the ray's angle of emergence.

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