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Phonon focusing in quartz and sapphire imaged by electron beam scanning

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Zeitschrift für Physik B Condensed Matter

Abstract

Anisotropic phonon propagation and phonon focusing in single-crystalline α-quartz and sapphire has been investigated using electron beam scanning for imaging the ballistic phonon propagation. The samples were circular disks of 20 mm diameter and 2.0 mm thickness. The phonons generated at the upper flat sample surface by the electron beam were detected with a small-size (43 μm×41μm) bolometer at the center of the opposite surface. The experiments were performed using a scanning electron microscope with a low-termperature stage. During electron irradiation of the upper sample surface the bottom of the sample was in direct contact with the liquid-He bath. For α-quartz, also time-resolved imaging of the phonon intensity has been performed in addition to imaging of the time-integrated bolometer signal. Our results agree remarkably well with calculations by Rösch and Weis.

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References

  1. Taylor, B., Maris, H.J., Elbaum, C.: Phys. Rev. Lett.23, 416, (1969)

    Google Scholar 

  2. Taylor, B., Maris, H.J., Elbaum, C.: Phys. Rev. B3, 1462 (1971)

    Google Scholar 

  3. Eisenmenger, W.: Phonon scattering in condensed matter. Maris, H.J. (ed.), p. 303. Plenum, 1980

  4. Northrup, G.A., Wolfe, J.P.: Phys. Rev. Lett.43, 1424 (1979)

    Google Scholar 

  5. Northrup, G.A., Wolfe, J.P.: Phys. Rev. B22, 6196 (1980)

    Google Scholar 

  6. Dietsche, W., Northrup, G.A., Wolfe, J.P.: Phys. Rev. Lett.47, 660 (1981)

    Google Scholar 

  7. Eichele, R., Huebener, R.P., Seifert, H., Selig, K.P.: Phys. Lett.87A, 469 (1982)

    Google Scholar 

  8. Eichele, R., Huebener, R.P., Seifert, H.: Verh. Dtsch. Phys. Ges. (VI)17, 1012 (1982)

    Google Scholar 

  9. Eichele, R.: Thesis, University of Tübingen, 1982 (unpublished)

  10. Stöhr, P., Huebener, R.P.: Cryogenics19, 472 (1979)

    Google Scholar 

  11. Seifert, H.: (to be published)

  12. Rösch, F., Weis, O.: Z. Phys. B-Condensed Matter25, 101 (1976)

    Google Scholar 

  13. Weis, O.: private communication

  14. Elcombe, M.: Proc. Phys. Soc.91, 947 (1967)

    Google Scholar 

  15. Weis, O.: Z. Angew. Phys.26, 325 (1969)

    Google Scholar 

  16. Hensel, J.C., Dynes, R.C.: Phys. Rev. Lett.43, 1033 (1979)

    Google Scholar 

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Eichele, R., Huebener, R.P. & Seifert, H. Phonon focusing in quartz and sapphire imaged by electron beam scanning. Z. Physik B - Condensed Matter 48, 89–97 (1982). https://doi.org/10.1007/BF01362453

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  • DOI: https://doi.org/10.1007/BF01362453

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