Time-dependent scattering and transmission function in an anisotropic two-layered atmosphere

Physics

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Anisotropic Media, Atmospheric Physics, Atmospheric Scattering, Radiation Transport, Scattering Functions, Time Dependence, Atmospheric Boundary Layer, Boundary Conditions, Integral Equations, Laplace Transformation, Legendre Functions

Scientific paper

Solutions based on the principle of invariance are developed for the time-dependent diffuse reflection and transmission phenomena in a homogeneous anisotropically scattering atmosphere. Reference is given to the analysis by Tsujita (1968), and an expression is developed in which combinations of auxiliary functions describe the upwardly directed radiative intensities at the layer between two boundaries. The auxiliary functions are governed by three systems of simultaneous equations and can describe the time-dependent transfer of radiation.

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