Abstract
A method for deriving the invariant imbedding equations in general geometries by the transfer matrix method is developed. Time-independent monoenergetic neutron transport in a nonmultiplying medium is considered. Specifically, invariant imbedding equations are derived for the plane, spherical, and cylindrical geometries. The reflection and transmission functions are evaluated numerically using the discrete ordinates method, for the case of a spherical shell with a perfectly absorbing core. A source of error in the results obtained is pointed out.
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