Gamma spectra resolving based on differential function analysis

Generally, people use Monte Carlo and Geant4 methods to simulate the interactions of gamma photons with the detectors (NaI(Tl), Ge(Li), HPGe and so on), to calculate the response function of detecting system. But when they make separate lines of the measured spectra, energy peaks are hard to simulate for noise signals. In order to including noise signals from the statistical fluctuation of the detector, we designed some special differential functions to measure the gamma energy change for scattering effects, and to better record the accumulated counts in a constant energy region. We interpolated the ideal spectra with the use of designed differential functions. We presented some simulation results, which show that differential functions are effective even in energy spectra with low counts.