Abstract
The existence conditions of zero electric fields E and zero electric displacements D are studied for bulk acoustic waves in piezoelectric crystals. General equations are derived for lines of zero electric fields, E(m)=0, and for specific points m0 of vanishing electric displacements, D(m0)=0, on the unit sphere of propagation directions m2=1. The obtained equations are solved for a series of examples of particular crystal symmetry. It is shown that the vectors D α (m) being generally orthogonal to the wave normal m are characterized by definite orientational singularities in the vicinity of m0 and can be described by the Poincaré indices n=0, ±1 or ±2. The algebraic expressions for the indices n are found both for unrestricted anisotropy and for a series of particular cases.
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Alshits, V., Lyubimov, V. & Radowicz, A. Non-piezoactivity in piezoacoustics: basic properties and topological features. Arch Appl Mech 74, 739–745 (2005). https://doi.org/10.1007/s00419-005-0406-5
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DOI: https://doi.org/10.1007/s00419-005-0406-5