Diffusion of High Energy Gamma-Rays through Matter. II. Solution of the Diffusion Equation

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Abstract
An approximate solution of the diffusion equation derived by Foldy has been obtained for the case in which the total gamma-ray cross section is independent of energy. This is the case for essentially all materials in the energy region in which the derived diffusion equation is valid. For monoenergetic gamma-rays incident normally on a slab of material, the distribution in angle of gamma-rays of a given energy after traversing a large thickness of material is shown to be Gaussian with a breadth depending on the energy in accordance with a theorem derived by Foldy. Some numerical calculations for the case of 17-Mev gamma-rays incident on water are presented to illustrate the nature of the results.

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