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Energy transfer of a wave-packet in a weakly inhomogeneous medium WKB approximation

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Czechoslovak Journal of Physics B Aims and scope

Abstract

It is shown that the physical assumptions used in the local theory to derive expressions for the energy density, the energy flux density and the energy dissipation density of a wave-packet are sufficient for these expressions to be applicable in the whole range of validity of the WKB approximation for the packet under investigation. Further, it is shown that besides the actual growth rate, the “local” growth rate (depending on spatial co-ordinates) has also a useful physical interpretation for the waves studied. It determines the part of the wave energy density which is dissipated (or obtained from the medium) per unit time in a unit volume.

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References

  1. Jungwirth K.: Nucl. Fusion8 (1968), 23.

    Google Scholar 

  2. Jungwirth K.: Plasma Phys.10 (1968), 919.

    Google Scholar 

  3. Mikhailovskii A. B.: Rev. Plasma Phys. (1967), Edit. by M. A. Leontovitch, Consultans Bureau, N.Y. 3.

    Google Scholar 

  4. Silin V. P.: Zh. eksper. teor. fiz.44 (1963), 1271.

    Google Scholar 

  5. Weinberg S.: Phys. Rev.126 (1962), 1899.

    Google Scholar 

  6. Shafranov V. D.: Rev. Plasma Phys. (1967), Edit. by M. A. Leontovitch Consultans Bureau, N.Y. 3.

    Google Scholar 

  7. Kadomtsev B. B.: Rev. Plasma Phys. (1968), Edit. by M. A. Leontovitch Consultans Bureau, N.Y. 3.

    Google Scholar 

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Jungwirth, K. Energy transfer of a wave-packet in a weakly inhomogeneous medium WKB approximation. Czech J Phys 20, 1107–1122 (1970). https://doi.org/10.1007/BF01695982

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  • DOI: https://doi.org/10.1007/BF01695982

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