Abstract
By using the frequency-dependent source-sink formalism of Feinberg and Galanin in one-group diffusion theory with a two-group slowing-down kernel, a model is developed for the investigation of the frequency response of the neutron field to a localized frequency-dependent perturbation in a 3-D heterogeneous lattice of a finite number of fuel and control rods embedded in an infinite moderator with no upper or lower reflectors. A numerical method for solving the equations of the semi-analytical model is indicated and it is shown that the well-known local component of the neutron-noise field is due to attenuation effects in the pure moderator. Finally, with some simplifications, the formalism is applied to the problem of the ‘field of view’ of an incore neutron detector in a BWR with moderator data typical of the lower and the upper part of a BWR core. Within the framework of the present model, it is shown that in the upper part of the core, although with different weighting for different distances from the detector, the detector ‘sees’ at least the whole cross section of the surrounding bundles.
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