Analytische Näherung für elastische Wellen in anisotropen kubischen Kristallen |
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Authors: | Dr. Walter Orth |
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Affiliation: | 1. Institut für Theoretische Physik der Universit?t des Saarlandes, Dürerstra?e 1, D-6602, Saarbrücken-Dudweiler, Bundesrepublik Deutschland
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Abstract: | It is shown that the frequencies ωα(k) and the polarisation vectorse 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} - 2c_{44} }}{{c_{12} + c_{44} }}) for all wave number vectorsk. 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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