Abstract
A rigorous derivation of the dynamical theory of X-ray diffraction from crystals with “optical phonon”-type distortions is presented. The result is a compact, surprisingly simple equation with a strong formal similarity to the well known Takagi-Taupin equation, with the latter included as a special case. Time-dependence is explicitly retained, and thus the analysis is applicable to situations where the crystal is modified on time-scales comparable with that for the X-rays to traverse an extinction depth, as well as being valid for the analysis of diffraction from disturbances that travel at close to luminal velocities, such as polaritons. A comparison is made between the influence of coherent acoustic and optical phonons on the diffraction of X-rays. Numerical and perturbative analytical solutions of the generalised Takagi-Taupin equation are presented in the presence of such phonons.
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© 2003 Springer Science+Business Media New York
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Sondhauss, P., Wark, J.S. (2003). Time-Dependent Dynamical Diffraction Theory for Phonon-Type Distortions. In: Adams, B.W. (eds) Nonlinear Optics, Quantum Optics, and Ultrafast Phenomena with X-Rays. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0387-3_10
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DOI: https://doi.org/10.1007/978-1-4615-0387-3_10
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-5051-4
Online ISBN: 978-1-4615-0387-3
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