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Title: 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.

Authors:
;  [1];  [1];  [2];  [3]
  1. Department of Applied Physics, University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo 113-8656 (Japan)
  2. (CERC), National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba Central 4, Tsukuba 305-8562 (Japan)
  3. (JST) (Japan)
Publication Date:
OSTI Identifier:
20775176
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 96; Journal Issue: 15; Other Information: DOI: 10.1103/PhysRevLett.96.154802; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BRAGG REFLECTION; COMPARATIVE EVALUATIONS; CRYSTALS; DEFORMATION; DIFFRACTION; EQUATIONS OF MOTION; TRAJECTORIES; WAVE PACKETS; WAVE PROPAGATION; X RADIATION

Citation Formats

Sawada, Kei, Murakami, Shuichi, Nagaosa, Naoto, Correlated Electron Research Center, and CREST, Japan Science and Technology Agency. Dynamical Diffraction Theory for Wave Packet Propagation in Deformed Crystals. United States: N. p., 2006. Web. doi:10.1103/PhysRevLett.96.154802.
Sawada, Kei, Murakami, Shuichi, Nagaosa, Naoto, Correlated Electron Research Center, & CREST, Japan Science and Technology Agency. Dynamical Diffraction Theory for Wave Packet Propagation in Deformed Crystals. United States. doi:10.1103/PhysRevLett.96.154802.
Sawada, Kei, Murakami, Shuichi, Nagaosa, Naoto, Correlated Electron Research Center, and CREST, Japan Science and Technology Agency. Fri . "Dynamical Diffraction Theory for Wave Packet Propagation in Deformed Crystals". United States. doi:10.1103/PhysRevLett.96.154802.
@article{osti_20775176,
title = {Dynamical Diffraction Theory for Wave Packet Propagation in Deformed Crystals},
author = {Sawada, Kei and Murakami, Shuichi and Nagaosa, Naoto and Correlated Electron Research Center and CREST, Japan Science and Technology Agency},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.96.154802},
journal = {Physical Review Letters},
number = 15,
volume = 96,
place = {United States},
year = {Fri Apr 21 00:00:00 EDT 2006},
month = {Fri Apr 21 00:00:00 EDT 2006}
}