CR-39 foils of thickness 500 μm, placed behind several combinations of radiators, have been irradiated with monoenergetic neutrons of energies ranging from ∼ 100 keV to ∼ 19 MeV at normal incidence from a Dynamitron accelerator. The radiator configurations and thicknesses used are: 1. Stack 1. 150 μm Polyimide (PI) + 800 μm Polystyrene (PS) + 5 mm Polyethylene (PE) 2. Stack 2. 100 μm Aluminium (27Al) + 800 μm Polystyrene (PS) + 5 mm Polyethylene (PE) 3. Stack 3. 50 μm Iron (56Fe) + 800 μm Polystyrene (PS) + 5 mm Polyethylene (PE) where the first, or primary, radiator in each case (viz., PI or Al or Fe) is the one closest to the CR-39 detector, followed by polystyrene and polyethylene, as one proceeds outwards towards the neutron source. The polymeric radiators have been chosen on the basis of their hydrogen contents, which are as follows: CR-39, ∼ 48%; polyimide, ∼ 19%; Polystyrene, 50%; and Polyethylene, 66.6%, by atomic ratio. The dose equivalent response of the detector has been studied by using conventional pre-etching for 6h followed by electrochemical etching for up to 3h. The results obtained are compared with calculated values. The thicknesses and compositions of the radiators are chosen so as to suppress the CR-39 response below ∼ 4 MeV by preventing the recoils of hydrogen nuclei, out of the hydrogen-rich radiators (viz., PS or PE), from reaching the post-etch surface of the detector. When 27Al and 56Fe are used as primary radiators, they contribute towards the enhancement of the detector response for neutron energies above ∼ 6 MeV through (n,p) and (n,α) reactions, while the thickness of the configuration suppresses the response below ∼ 4 MeV.