In inertial confinement fusion (ICF) project, there are many diagnostic methods. Neutron penumbral imaging is one of the important technologies to diagnose the information about neutron spatial and temporal distribution in burn region of the core of a compressed pellet in the low yield fusion. In this study, a linear space invariant neutron penumbral imaging system was designed and established with Monte Carlo method, the system’s point spread function (PSF) was obtained. By fitting the obtained PSF, several mathematic models were obtained and compared. The improved “logistic function” mathematic model was chosen to reconstruct the coded penumbral image and the original neutron source image “T” was successfully was obtained.

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