Darwin's approach to X-ray diffraction on lateral crystalline structures

Darwin's dynamical theory of X-ray diffraction is extended to the case of lateral ('i.e.', having a finite length in the lateral direction) crystalline structures. This approach allows one to calculate rocking curves as well as reciprocal-space maps for lateral crystalline structures having a rectangular cross section. Numerical modelling is performed for these structures with different lateral sizes. It is shown that the kinematical approximation is valid for thick crystalline structures having a small length in the lateral direction.