Non-piezoactivity in piezoacoustics: basic properties and topological features |
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Authors: | VI Alshits VN Lyubimov A Radowicz |
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Institution: | 1. Insitute of Crystallography RAS, Leninskii prospekt 59, 119333, Moscow, Russia 2. Polish–Japanese Institute of Information Technology, ul. Koszykowa 86, 02-008, Warsaw, Poland 3. Kielce University of Technology, Al.1000-lecia Państwa Polskiego 7, 25-314, Kielce, Poland
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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 m 0 of vanishing electric displacements, D(m 0)=0, on the unit sphere of propagation directions m 2=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 m 0 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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