Abstract
Based on the reported physical parameters for hexagonal system solids, we have calculated the effects of anisotropy on polarization of plane P-wave propagation. Herein we report the results of calculations and the newly observed physical phenomena. It is found that, for a given propagation, if the polarization is parallel to the wave vector, so also to the Poynting vector. In such a case, the phase velocity is identical to the energy velocity; the quasi P-wave degenerates to a pure P-wave along the propagation. It is also noted that if the polarization is parallel to the Poynting vector but not to the wave vector, the propagating wave cannot be a pure P-wave. Furthermore, the polarization in a quasi P-wave may deviate from the wave vector for more than 45°, but the deviation from the Poynting vector is always less than 45°. The energy velocity of a quasi SV-wave can be larger than that of the quasi P-wave in some propagation directions, even though the phase velocity of a quasi SV-wave may never be larger than either the phase velocity or energy velocity of the quasi P-wave. Finally, in case of parameters ɛ=0 and δ*≠0, the polarization of a quasi P-wave has an observed symmetry at a 45° phase angle. The anisotropy of a hexagonal system solid determines if a pure P-wave can be created and what the propagation direction is for a plane wave propagating inside such a hexagonal system solid.
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Fa, L., Zhao, M., Liu, Y. et al. Polarization of plane wave propagating inside elastic hexagonal system solids. Sci. China Phys. Mech. Astron. 57, 251–262 (2014). https://doi.org/10.1007/s11433-013-5363-3
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DOI: https://doi.org/10.1007/s11433-013-5363-3