Sound waves in a piezoelectric medium containing a chain of dislocations parallel to each other are investigated. It is demonstrated that interaction between vibrations localized on individual dislocations engenders waves propagating along the chain in the direction perpendicular to dislocations. The spectrum of allowable vibration frequencies consists of bands separated from each other and from the spectrum of volume vibrations. The total number of different independent wave vectors corresponding to frequencies forming a band is equal to the number of independent states of the vibrating dislocation chain and coincides with the number of dislocations contained in it.
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N. A. Tyapunina, E. K. Naimi, and G. M. Zinenkova, Influence of Ultrasound on Crystals with Defects [in Russian], Publishing House of Moscow State University, Moscow (1999).
N. A. Tyapunina and É. P. Belozerov, Usp. Fiz. Nauk, 156, No. 4, 683–717 (1988).
S. G. Gestrin and E. B. Shchukina, Russ. Phys. J., 56, No. 12, 1326–1332 (2013).
A. M. Kosevich, Principles of Mechanics of a Crystal Lattice [in Russian], Nauka, Moscow (1972).
S. G. Gestrin, Russ. Phys. J., 39, No. 10, 938–943 (1996).
S. G. Gestrin, Russ. Phys. J., 41, No. 2, 174–177 (1998).
S. G. Gestrin, A. N. Sal’nikov, and E. B. Shchukina, Russ. Phys. J., 49, No. 10, 1112–1116 (2006).
S. G. Gestrin and A. N. Sal’nikov, Russ. Phys. J., 48, No. 7, 690–693 (2005).
S. G. Gestrin and E. A. Sal’nikova, Russ. Phys. J., 54, No. 11, 1177–1184 (2011).
L. D. Landau and E. M. Lifshits, Electrodynamics of Continuous Media. Theoretical Physics, Vol. VIII [in Russian], Nauka, Moscow (1982).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 73–78, December, 2014.
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Gestrin, S.G., Shchukina, E.V. Interaction of Sound Vibrations with a Dislocation Chain in a Piezoelectric Crystal. Russ Phys J 57, 1697–1704 (2015). https://doi.org/10.1007/s11182-015-0440-x
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DOI: https://doi.org/10.1007/s11182-015-0440-x