Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2010, Vol. 7, No. 4, pp. 165-175
Global radiation field of Earth, radiation forcing
and supercomputing
T.A. Sushkevich
, S.A. Strelkov
, S.V. Maksakova
Keldysh Institute of Applied Mathematics of RAS, 125047 Moscow, 4 Miusskaya sg
The radiation transfer problem to supercomputing is considered for optical (solar short-wave and long-wave) radiation
in the atmosphere - Earth system (AES) while using a spherical shell approach with an incident external parallel
flux. The optical transfer operator (OTO) is constructed within the linear-system approach to take the effect of
spatial inhomogeneity (mosaic) of underlying surface (land surface, upper layer of cloudiness or hydrometeors) into
account. The influence function of the general boundary-value problem of the radiation transfer theory that serves as
the optical transfer operator kernel is considered as a universal characteristic invariant relative to particular structures
of inhomogeneity for the relevant reflecting and emitting surfaces.
As a result of the outlined approaches, the initial general boundary-value problem has been reduced to the linear
functional with the formulation of the linear-system approximation to solve remote sensing and radiation forcing
problems and to take into account the contribution of reflected and emitted spherical Earth's surface in 1D-, 2D- and
3D-geometry. Any manifestation of the non-linear effects due to multiple reflection of radiation from the Earth's
surface has been rigorously determined in the process of the scenarios formation. These effects are described by
the influence functions which are represented by the linear transfer characteristics of any isolated shell of the atmosphere.
Keywords: radiation transfer, atmosphere-Earth system, radiation field of Earth, mathematical modeling, transfer operator, supercomputing
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