Scattering and transmission functions of radiation by finite atmospheres with reflecting surfaces |
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| Authors: | Sueo Ueno Alan P Wang |
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| Institution: | (1) Dept. of Electrical Engineering, University of Southern California, Los Angeles, Calif., USA;(2) Present address: Department of Mathematics, Arizona State University, 85281 Tempe, Ariz, U.S.A. |
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| Abstract: | In the present paper, with the aid of invariance principles in connection with the scattering matrix, we get the exact solution of diffuse reflection and transmission problems by finite inhomogeneous, anisotropically scattering atmospheres bounded by reflecting sufaces. On making use of the reflection and transmission integral operators, we show how to obtain the non-linear integro-differential equations for these operators, which do not depend on the initial condition. Then, we have a system of the required integro-differential equations for the scattering and transmission functions. The obtained result is new, so far as we know. Finally, using the scattering matrix, we reduce the diffuse reflection and transmission problems for planetary atmospheres with reflecting surfaces to the standard diffuse reflection and transmission problems.Supported by the National Science Foundation under Grant No. GP29049 and the Atomic Energy Comminission, Division of Research under Contract No. AT(40-3)-133, Project 19. |
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