Abstract
The best way to study isolated phonon interactions is analogous to the procedure in particle physics: A beam of coherent or incoherent phonons is directed against a volume element containing the scatterers, and the scattered phonons are observed in the far field as a function of scattering angle and energy change. For the adequate theoretical description of such an experiment, the differential scattering cross-section for the scatterers must be known. In the case of phonon scattering the mechanical anisotropy of the crystal has also to be taken into account. The discussion in this paper is done within the Born-von Kármán model for a general lattice and also specified for the anisotropic continuum acoustics. As an example, isotope scattering is treated in detail.
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Weis, O. Differential and total scattering cross-section for phonon beams with special application to scattering by isotopes. Z. Physik B - Condensed Matter 96, 525–532 (1995). https://doi.org/10.1007/BF01313851
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DOI: https://doi.org/10.1007/BF01313851