A Method for Treating the Scattering of Radiation in Bodies of Arbitrary Convex Geometry

摘要

A method is presented for formulating problems involving the passage of particles through material bodies of arbitrary convex geometry in which the interaction between a particle and the body depends on the length of the straight line path traveled. The radiation environment is described by a projected cross-section and an angular chord distribution, permitting the effects of geometry to be treated independently of the physical process involved. The method is first formulated for bodies scattering incident radiation, and then extended to include bodies containing uniformly distributed anisotropic radiation emitters. Two sample problems are solved: the response of a scintillator to an X-ray flux, and the spectrum of recoil protons emerging from a hydrogenous body irradiated by a monergic neutron beam. Angular chord distributions are calculated for a sphere, an infinite slab, an infinite cylinder, and the face of a semi-infinite cylinder. (Author)