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Analytische Näherung für elastische Wellen in anisotropen kubischen Kristallen

  • Walter Orth

Abstract

It is shown that the frequencies ωα(k) and the polarisation vectors e α(k) (α = 1, 2,3) of the elastic waves in anisotropic cubic crystals can be described exactly as Taylor series in the parameter \( \delta = \frac{{{c_{{11}}} - {c_{{12}}} - 2{c_{{44}}}}}{{{c_{{12}}} + {c_{{44}}}}} \) for all wave number vectors k. As the expansion functions of these series include no elastic constants, δ is taken as the proper anisotropy parameter. The series are converging very fast for almost all substances and may be broken off after the third expansion term.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1974

Authors and Affiliations

  • Walter Orth
    • 1
  1. 1.Institut für Theoretische PhysikUniversität des SaarlandesSaarbrücken-DudweilerBundesrepublik Deutschland

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