The Time-dependent Problem of the Line Radiation Reflection

Abstract

We consider the classical time-dependent problem of diffuse reflection of the line-radiation from a semi-infinite absorbing and scattering atmosphere. By the example of the simplest 1D problem it is shown how its solution is constructed in the general case, when both the photon lifetime in the absorbed state and the time of its travel between two consecutive acts of scattering are taken into account. The numerical values of the coefficients in the expansion of the reflection function in the Neumann series are given. The obtained solution is applied to the problem, in which the scattering in both the spectral line and in the continuous spectrum is taken into account.