Abstract
Phenomena engendered by the fast neutron pulse are analyzed by Neumann series solution of the reduced three-dimensional neutron transport equation.
The spectral functions of collision neutron fluxes are derived by Fourier-Laplace transform, and the time-, space-, energy-dependent collision neutron fluxes possessing definite wave fronts are obtained with use made of convolution theorems in Fourier-Laplace analysis. Thus, the behavior of fast neutron pulses is described in terms of a superposition solely of wave modes.
The present study has deepened our understanding of the detailed physical process of fast neutron pulses, and the process of their formation on the asymptotic mode is clearly explained by wave processes. This treatment has provided a clear explanation of the short time phenomena shown by pulsed neutrons, and should prove useful for analyzing situations where the continuous mode prevails over the asymptotic mode.
The experiment of the nano-second order fast-neutron pulse is also analyzed.
