Application of the 'lamellar crystal' approach to study X-ray interbranch scattering by a bent crystal

The amplitudes of new and normal wavefields are obtained in the case of a slightly bent crystal using the 'lamellar crystal' approach. The physical mechanism of interbranch interaction, which proceeds from this approach, is interpreted in a simple physical manner. The fundamental set of the differential equations is derived to study interbranch scattering within the new representation called the 'eikonal representation'. It is supposed that, in the case of strong bending, an interbranch multiple process may be considered as a resonance one.