Dynamical diffraction theory for wave packet propagation in deformed crystals

We develop a theory for the trajectory of an x ray in the presence of a crystal deformation. A set of equations of motion for an x-ray wave packet including the dynamical diffraction is derived, taking into account the Berry phase as a correction to geometrical optics. The trajectory of the wave packet has a shift of the center position due to a crystal deformation. Remarkably, in the vicinity of the Bragg condition, the shift is enhanced by a factor (omega)(Delta omega)(omega: frequency of an x ray, Delta omega: gap frequency induced by the Bragg reflection). Comparison with the conventional dynamical diffraction theory is also made.