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Diffuse reflection of phonons and the anomalous Kapitza resistance

Taborek, Peter and Goodstein, David L. (1980) Diffuse reflection of phonons and the anomalous Kapitza resistance. Physical Review B, 22 (4). pp. 1550-1563. ISSN 0163-1829. doi:10.1103/PhysRevB.22.1550.

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High-resolution time-of-flight phonon-reflection spectra in sapphire crystals are analyzed with the aid of detailed numerical calculations. It is argued that spectra from vacuum interfaces may be understood if about half the incident phonons are assumed to be reflected specularly, the remainder diffusely. A simple model of the effect on spectra of diffuse scattering is presented and compared to experimental data. We show that the specularly reflected signal is unaffected by placing helium at the interface, but that the diffuse part is transmitted almost entirely, accounting for the anomalous Kapitza resistance. It is shown that conventional calculations of phonon focusing are not suitable for interpreting our data, and a new, more correct theory of phonon focusing, aided by formal catastrophe theory, is introduced. We argue that the experimental resolution and theoretical analysis we have presented are essential for understanding phonon-reflection experiments.

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Additional Information:©1980 The American Physical Society. Received 14 February 1980. This work was supported in part by NSF Grant NO. DMR77-00036 and by a grant from the Caltech President's Fund.
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Caltech President’s FundUNSPECIFIED
Issue or Number:4
Record Number:CaltechAUTHORS:TABprb80
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10365
Deposited By: Archive Administrator
Deposited On:01 May 2008
Last Modified:08 Nov 2021 21:07

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