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Positively homogeneous functions in atmospheric radiative transfer theory
Authors:Sebastian Otto  Markus Meringer
Affiliation:a Leipziger Institut für Meteorologie (LIM), Universität Leipzig, Stephanstraße 3, 04103 Leipzig, Germany
b Institut für Methodik der Fernerkundung (IMF), Deutsches Zentrum für Luft- und Raumfahrt (DLR) Oberpfaffenhofen, Münchner Straße 20, 82234 Wessling, Germany
Abstract:Positively homogeneous functions are applied to describe absorption and scattering processes within the framework of atmospheric radiative transfer theory. Solid angle integrations are understood as surface integrations over arbitrary solid angle surfaces which are defined beyond the common picture of atmospheric radiative transfer.
Keywords:Positively homogeneous functions   Reality space   Direction space   Solid angle integration   Radiative transfer
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