Theory of X-ray diffraction on lateral crystal with elastically bent lattice planes

In terms of kinematic approximation one elaborated a theory of x-ray diffraction on the lateral crystal with elastically bent lattice planes. One derived the analytical solutions for the coherent and the diffuse scattering as applied to three-axis X-ray diffractometry. One simulated numerically the angular distribution of the intensity of the coherent and the diffuse scattering near the reciprocal lattice site. The diffraction pattern from the crystal with trapezoid cross section and with elastically bent lattice planes is shown to resemble a butterfly previously observed experimentally