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EFFICIENT CROSS-SECTIONS OF PHOTON INTERACTION WITH A NOHOMOGENEOUS ABSORB ING MEDIUM

F. M. Shmakov
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1988. Вып.1. С. 75-79.

      A scheme is proposed for a statistical description of the radiation interaction with a nonhomogeneous medium. The sample being examined is splitted into N layers of thickness L in such a manner that interinclusion screening may be neglected. Assuming the inclusions to be uniformly and independently spaced we obtain a through-path length propability distribution density for an inclusion in one layer. This allows to evaluate the integrated through-path length probability distribution densities for N layers and use these in order to derive expressions for computing efficient cross-sections for materials with various inclusions (spheres, cubes, and lines). Conditions for limit transition to a homogeneous medium are considered.










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