Abstract

An analytical treatment of the problem of the passage of γ-rays through a plane-parallel plate is given. It is shown that the integro-differential equation for the scattered γ-ray flux density, taking the boundary conditions into account, reduces in n-th order approximation to a set of 2 n first-order integro-differential equations for the coefficients of the Legendre polynomial expansion of the scattered photon flux density. The 2 n arbitrary constants can be determined from the 2 n boundary conditions. Final results are given only for the case n = 1, which gives the spectral distribution of the scattered γ-ray flux density at a given distance from the source.

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