Cross, M. C. and Lifshitz, Ron (2001) Elastic wave transmission at an abrupt junction in a thin plate with application to heat transport and vibrations in mesoscopic systems. Physical Review B, 64 (8). Art. No. 085324. ISSN 0163-1829. doi:10.1103/PhysRevB.64.085324. https://resolver.caltech.edu/CaltechAUTHORS:CROprb01
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Abstract
The transmission coefficient for vibrational waves crossing an abrupt junction between two thin elastic plates of different widths is calculated. These calculations are relevant to ballistic phonon thermal transport at low temperatures in mesoscopic systems and the Q for vibrations in mesoscopic oscillators. Complete results are derived in a simple scalar model of the elastic waves, and results for long-wavelength modes are obtained using full elasticity theory. We suggest that thin-plate elasticity theory provides a useful and tractable approximation to the three-dimensional geometry.
| Item Type: | Article | ||||||
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| Additional Information: | ©2001 The American Physical Society Received 23 November 2000; published 8 August 2001 This work was supported by the National Science Foundation under Grant No. DMR-9873573, DARPA MTO/MEMS under Grant No. DABT63-98-0012, and Grant No. 1999458 from the U.S.-Israel Binational Science Foundation (BSF). We thank Michael Roukes, Andrew Cleland, and Keith Schwab for many useful discussions, and Deborah Santamore for carefully reading of the manuscript. | ||||||
| Issue or Number: | 8 | ||||||
| DOI: | 10.1103/PhysRevB.64.085324 | ||||||
| Record Number: | CaltechAUTHORS:CROprb01 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:CROprb01 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 2361 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Archive Administrator | ||||||
| Deposited On: | 29 Mar 2006 | ||||||
| Last Modified: | 08 Nov 2021 19:47 |
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