Diregionally Discontinuous Harmonic Solutions of the Neutron Transport Equation in Spherical Geometry

An exact infmite-series solution to the one-speed neutron transport equation in spherical geometry is presented. The analysis is based on a partial-range variant of the spherical harmonics formalism and admits arbitrary directional discontinuities in the vector flux. Numerical results are presented to illustrate the appearance of discontinuities in the flux associated with an absorbing sphere.