Diffraction of X-radiation on a coherent sound wave |
| |
| Affiliation: | 1. Department of Mathematics, ETH Zürich, Rämistrasse 101, CH-8092 Zürich, Switzerland;2. Department of Mathematics, Korea University, Seoul 02841, South Korea;1. Department of Mathematics, ETH Zürich, Rämistrasse 101, CH-8092 Zürich, Switzerland;2. Department of Mathematics, Korea University, Seoul 02841, Republic of Korea;3. Department of Molecular Life Sciences, University of Zürich, Switzerland;1. School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China;2. School of Mathematical Sciences and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, China |
| |
| Abstract: | The scattering of X-rays on lattice vibrations is examined for two cases: (a) the sound is coherent and described by the Glauber state; and (b) the sound is incoherent and described by the occupation numbers of phonon state. The calculation of the scattering probability shows that in case (a) the intensity of scattering radiation can be modulated by the sound, whereas in case (b) this is impossible. In order to have this modulation effect, the conditions τΩ «1, Δ ⩽ δ where Ω is the sound frequency, τ the duration of interaction of the X-quantum with the atom, Δ the angular width of the Bragg maximum, and δ the angle between the directions of elastic- and one-phonon scattering, must be satisfied. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
