Dynamical Diffraction Theory for Wave Packet Propagation in Deformed Crystals

Abstract

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.

4 pages, 2 figures. Title changed

References in corpus (1)

• Dissipationless Quantum Spin Current at Room Temperature

Cited by in corpus (2)

• Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium
• Paraxial propagation in disclinated amorphous media