Numerical results for internal intensities in atmospheres illuminated by isotropic sources

by H. H. Natsuyama, Robert E. Kalaba


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The b and h functions are introduced as internal intensities in finite homogeneous slabs due to isotropic sources of energy at the top and the bottom of the slabs, respectively. The slabs absorb and isotropically scatter radiation. The b and h functions are of interest in themselves, and are also important in the determination of internal fields due either to parallel rays of incident radiation or arbitrary internal emitting sources. The b and h functions are computationally produced as solutions of stable initial value problems. The thickness of the slab is the independent variable, while the optical altitude above the bottom and the direction of propagation are fixed parameters. Extensive tables of these functions are presented for albedos of single scattering ranging from 0.1 to 1.0, for a range of optical thicknesses and depths, and for fifteen directions of propagation. The FROTRAN computer program that produced these tables is presented.

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