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Phonon focussing patterns: Calculation of response of finite area detectors to pulsed ballistic beams of dispersive and dispersionless phonons

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Zeitschrift für Physik B Condensed Matter

Abstract

The phonon images of crystals are described in the frame of the Boltzmann kinetic equation. Monochromatic heat pulses of the dispersive and dispersionless acoustic phonons are considered. Exact expressions for the energy and quasimomentum carried by a pulsed beam of monochromatic dispersionless acoustic phonons falling onto a detector of the finite area are derived. These formulae provide us with a convenient starting point for numerical calculations of phonon images. For the example of long wave-length acoustic phonons and a point as well as extended sources, an algorithm for numerical calculations of phonon images of anisotropic crystalline media is presented. However, it is quite general and can be easily adapted for dispersive phonons and to quasiparticles with an arbitrary dispersion low.

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References

  1. Lifshits, I.M.: Zh. Eksp. Teor. Fiz.18, 293 (1948)

    Google Scholar 

  2. Lifshits, I.M., Peresada, V.I.: Uch. Zap. Kharkov. Gosud. Univ.: Tr. Fiz. Otd. Mat. Fiz. Fak.6, 37 (1955)

    Google Scholar 

  3. Kosevich, A.M.: Theory of crystalline lattice. Kharkov: Vishtchaya Shkola 1988 (in Russian)

    Google Scholar 

  4. Kosevich, A.M.: Fiz. Niz. Temp.11, 1106 (1965)

    Google Scholar 

  5. Northrop, G.A., Wolfe, J.P.: Phonon imaging. In: Nonequilibrium Phonons, Bron, W.E. (ed.), p. 165, New York: Plenum Press 1985

    Google Scholar 

  6. Maris, H.J.: Phonon Focussing. In: Nonequilibrium Phonons in Nometallic Crystals. Eisenmenger, W., Kaplyanskii, A.A. (eds.), p. 52. Amsterdam: North-Holland 1986

    Google Scholar 

  7. Maris, H.J.: J. Acoust. Soc. Am.50, 812 (1971)

    Google Scholar 

  8. Rösch, F., Weis, O.: Z. Phys. B25, 101 (1976)

    Google Scholar 

  9. Rösch, F., Weis, O.: Z. Phys. B25, 115 (1976)

    Google Scholar 

  10. Northrop, G.A.: Computer Phys. Commun.28, 103 (1982)

    Google Scholar 

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

    Google Scholar 

  12. Northrop, G.A.: Phys. Rev. B26, 903 (1982)

    Google Scholar 

  13. Tamura, S.: Phys. Rev. B25, 1415 (1982)

    Google Scholar 

  14. Tamura, S.: Phys. Rev. B28, 897 (1983)

    Google Scholar 

  15. Hebboul, S.E., Wolfe, J.P.: Phys. Rev. B34, 897 (1983)

    Google Scholar 

  16. Hebboul, S.E., Wolfe, J.P.: Z. Phys. B73, 437 (1983)

    Google Scholar 

  17. Hebboul, S.E., Wolfe, J.P.: Z. Phys. B74, 35 (1983)

    Google Scholar 

  18. Jasiukiewicz, Cz., Lehmann, D., Paszkiewicz, T.: Z. Phys. B84, 73 (1991)

    Google Scholar 

  19. Jasiukiewicz, Cz., Paszkiewicz, T.: Acta Phys. Polon. A84, 459 (1993)

    Google Scholar 

  20. Jasiukiewicz, Cz., Lehmann, D., Paszkiewicz, T.: Z. Phys. B86, 225 (1992)

    Google Scholar 

  21. Lehmann, D., Jasiukiewicz, Cz., Paszkiewicz, T.: Phonon images of crystalline GaAs obtained by the phonon-drag effect in two-and one-dimensional electron gases. In: Phonon Scattering in Condensed Matter VII, Meissner, M., Pohl, R.O. (eds.), p. 357 Berlin, Heidelberg, New York: Springer 1993

    Google Scholar 

  22. Jasiukiewicz, Cz., Lehmann, D., Paszkiewicz, T.: Acta Phys. Polon. A84, 661 (1993)

    Google Scholar 

  23. Lehmann, D.: Phonon-Drag Effect in 1-Dimensional Electron Gases. In: Die Kunst of Phonons, Proc. of Winter School of Theoretical Physics, Paszkiewicz, T., Rapcewicz, K. (eds.). New York: Plenum Press 1994

    Google Scholar 

  24. Paszkiewicz, T., Wilczyński, M.: Influence of isotopic substitutional atoms on propagation of phonons in anisotropic media, submitted to Dynamical Properties of solids, Vol. 7, Horton, G.K., Maradudin, A.A. (eds.) Amsterdam: North Holland

  25. Gańcza, W.M., Paszkiewicz, T.: Phonon patterns of cubic crystals Monte Carlo simulation program. In: Die Kunst of Phonons, Proc. of Winter School of Theoretical Physics, Paszkiewicz, T., Rapcewicz, K. (eds.). New York: Plenum Press 1994

    Google Scholar 

  26. Lax, M., Narayanamurti, V.: Phys. Rev. B22, 4876 (1980)

    Google Scholar 

  27. Karl, H., Dietsche, W., Fischer, A., Ploog, K.: Phys. Rev. Lett.61, 2360 (1988)

    Google Scholar 

  28. Held, E., Klein, W., Huebener, R.P.: Z. Phys. B75, 17 (1989)

    Google Scholar 

  29. Lega, A., Karl, H., Dietsche, W., Fischer, A., Ploog, K.: Surf. Sci.229, 116 (1990)

    Google Scholar 

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Authors and Affiliations

  1. Institute of Theoretical Physics, University of Wrocław, PI. M. Borna 9, PL-50-204, Wrocław, Poland

    Cz. Jasiukiewicz & T. Paszkiewicz

  2. Institut für Theoretische Physik, Technische Universität Dresden, Mommsenstrasse 13, D-01062, Dresden, Germany

    D. Lehmann

Authors
  1. Cz. Jasiukiewicz
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  2. T. Paszkiewicz
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  3. D. Lehmann
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Jasiukiewicz, C., Paszkiewicz, T. & Lehmann, D. Phonon focussing patterns: Calculation of response of finite area detectors to pulsed ballistic beams of dispersive and dispersionless phonons. Z. Physik B - Condensed Matter 96, 213–222 (1994). https://doi.org/10.1007/BF01313286

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  • DOI: https://doi.org/10.1007/BF01313286

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