Multimode radiative transfer in finite optical media. I - Fundamentals. II - Solutions

Physics – Optics

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Atmospheric Optics, Numerical Analysis, Radiative Transfer, Incident Radiation, Invariant Imbeddings, Radiance, Radiation Sources

Scientific paper

It has now been recognized that the solution of the transfer of radiation in media other than plane parallel is of importance not only to radiative transfer theory but also to the practical problem of atmospheric radiation budgets in and around individual cloud elements or cloud fields. The present investigation is concerned with the development of a new method for solving the transfer of radiation within a medium which is laterally finite. An alternate form of the radiative transfer equation is developed for a finite box-shaped optical medium. Two assumptions have been made in connection with the new method. It is assumed that the spatial distribution of radiance is represented by a cosine series, and that the optical properties (volume attenuation and scattering phase function) are functions only of depth within the medium.

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