A practical machine method for computing transmission and reflection of radiation by laminated slab shields is described, making use of transmission and reflection matrices. These are combined in a way which produces a formal solution of the Boltzmann equation in slab geometry. This result is applied by using representations in terms of energy groups and angular expansions. Two codes for the IBM-704 which together carry out the computation of the transmission and reflection matrices are described and operating instructions are given. Numerical results for gamma rays are presented. The advantages of the transmission matrix method as compared to other methods are discussed. Appendices are included showing how in the P1 approximation the method gives diffusion theory in a particularly simple way and how it can be applied to other geometries.These are combined in a way which produces a formal solution of the Boltzmann equation in slab geometry. This result is applied by using representations in terms of energy groups and angular expansions.

Title | : | The transmission matrix method for penetration problems |

Author | : | David Yarmush, Julius Zell, Raphael Aronson |

Publisher | : | - 1960 |

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