Conclusion
The generalized expressions obtained for calculating eigenfunctions of harmonic and nearby anharmonic modes of a PEL make it possible better to direct the search for optimal resonator geometry. These functions enable us to compute such equivalent dynamic parameters of resonators as the inductance, capacitance, capacitance ratio, and others. They also enable us to determine resonator sensitivity to a localized change in PE thickness, which is proportional to the square of the eigenfunction; this is necessary not only in the manufacture of resonators, but in the construction of various kinds of piezoelectric sensors as well.
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Translated from Izvestiya Vysshikh Uchebnykh Uchebnykh Zavedenii, Radiofizika, Vol. 29, No. 6, pp. 740–747, June 1986.
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Postnikov, I.I. Eignmodes of piezoelectric lenses. Radiophys Quantum Electron 29, 567–573 (1986). https://doi.org/10.1007/BF01035095
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DOI: https://doi.org/10.1007/BF01035095