Modal influence of the detector location for the noise calculation of the ADS

The purpose of this paper is to investigate the space dependence of neutron noise in a source-driven subcritical system. The noise produced by the fluctuations of the source are measured from the cross spectrum between the source and a detector located inside the system using the methodology of Muñoz-Cobo et al. (Muñoz-Cobo, J.L., Rugama, Y., Valentine, T., Mihalczo, J., Perez, R., 2002. Annals of Nuclear Energy in press). The prompt neutron decay constant obtained from the source-detector cross spectrum is dependent on the detector location because of the influence of higher modes of the neutron flux. One group diffusion theory is used to determine the eigenvalues and eigenfunctions of the fundamental and higher modes. This analytical approximation will be used to explain the detector location effect through quantitative evaluation of a specific model. The analytical system subcriticality will be obtained from the eigenvalue equation in the static case at two different subcritical situations.