Polarization of plane wave propagating inside elastic hexagonal system solids |
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Authors: | Lin Fa MeiShan Zhao YongChang Liu Lei Wang YanQiang Wang JiGang Sun |
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Institution: | FA Lin;ZHAO MeiShan;LIU YongChang;WANG Lei;WANG YanQiang;SUN JiGang;School of Electronics and Information Engineering,Xi’an University of Posts and Telecommunications;James Franck Institute and Department of Chemistry,University of Chicago,5735 South Ellis Avenue,Chicago,IL 60637,USA; |
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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 ?=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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Keywords: | anisotropy polarization pure P-wave VTI medium hexagonal crystal |
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