Solution of the radiative transfer boundary problem for a plane-parallel atmosphere bounded by the surface with an arbitrary reflection is evaluated using a series in terms of multiplicity of reflection from the surface. The convergence of the series is proved and the solution estimates are derived theoretically and numerically for the different models of atmosphere. Solution of the initial 3-D problem is reduced to solution of the boundary problem for the Green's function (GF) which does not depend on properties of the surface reflection. The algorithm developed for the GF evaluation is based upon Fourier transform of the transport equation. Radiation field is calculated using convolution with GF or inverse Fourier transform with the complex Green's function (Fourier transform of GF).
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