The theory of multiple scattering for electrons and other changed particles is presented here within a mathematically unifying compound-Poisson-process framework. The compound Poisson model of scattering phenomena allows an arbitrary differential cross section for single scattering, is not restricted to any particular range for the number of collisions experienced by the particle, and is applicable to both the planar coordinate description of scattering (small angle approximation) as well as the spherical coordinate description (exact angle description). An efficient method for computing the angular probability density function after a large number of collisions is derived and then applied in a few example computations. This method is based on the decomposition of the compound Poisson process into hard and soft scattering.
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Ning et al. (1995) studied this question.
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