Potential reduction interior point algorithm unfolding of neutron energy spectrum measured by recoil proton method

A reconstruction algorithm for unfolding the neutron energy spectrum has been developed based on the potential reduction interior point. This algorithm can be easily applied to the neutron energy spectrum reconstruction in the recoil proton method. We transform neutron energy spectrum unfolding problem into a typical nonnegative linear complementarity problem. The recoil proton energy spectrum and response matrix at angles of 0{\deg} and 30{\deg} are generated by the Geant4 simulation toolkit. Several different neutron energy test spectrums are also employed. It is found that this unfolding algorithm is stable and provide efficiency accurate results.