Solution of the inverse problem of X-ray diffraction on an ideal crystal using the differential evolution method

For solving the inverse problem of scattering of X-ray with transversely restricted wavefront in an ideal crystal within the dynamical theory of X-ray diffraction taking into account the effect of the diffractometer's instrumental function the Genetic Algorithm in the form of Differential Evolution method was used. Residual functionals of four types are considered. The simulation of the X-ray scattering experiment in an ideal crystal is carried out. Dependences of the corresponding values of the residual functionals on the number of cycles of the Differential Evo- lution algorithm are obtained. For the indicated case, the best solution (the form of the residual functional) is determined. The proposed approach seems useful and effective for nondestructive diagnostics of nanostructured media