Numerical simulation of the experiment on observing non-stationary diffraction of UCNs on a moving lattice

A set of programs has been created for modeling the experiment to study UCN diffraction on a moving grating. The problem of diffraction of neutrons on a lattice with parameters corresponding to the actual experiment was solved numerically on the basis of the equations of the dynamic theory of diffraction. The process of measuring the diffraction spectrum by a time-of-flight Fourier diffractometer was simulated by the Monte Carlo method. Systematic errors in the reconstruction of the neutron energy spectrum by the inverse Fourier spectrometry method are investigated. The results of numerical calculations are compared with experimental data.