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 (7)

• Dissipationless Quantum Spin Current at Room Temperature
• Hall Effect of Light
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Berry phase, hyperorbits, and the Hofstadter spectrum: semiclassical dynamics in magnetic Bloch bands
• Berry phase, hyperorbits, and the Hofstadter spectrum
• Coherent wave-packet evolution in coupled bands
• Noncommutative geometry and nonabelian Berry phase in the wave-packet dynamics of Bloch electrons

Cited by in corpus (10)

• Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium
• Gauged linear sigma model and pion-pion scattering
• Geometric optics of Bloch waves in a chiral and dissipative medium
• Geometric aspects of phonon polarization transport
• Berry effect in acoustical polarization transport in phononic crystals
• Berry Effect in Unmagnetized Inhomogeneous Cold Plasmas
• Paraxial propagation in amorphous optical media with screw dislocation
• Effective Field Theory of Distorted-Photonic Crystal: Exact Solutions of the Geodesics Equation
• Paraxial propagation in disclinated amorphous media
• Frequency Domain Berry Curvature Effect on Time Refraction