Abstract
The singularities in the spectrum of bulk acoustic phonons polarized in the sagittal plane are investigated on a plate made of a uniaxial ferroelastic material undergoing a proper ferroelastic transition from the paraelectric to the ferroelectric phase. The singularities are induced by anomalies in the reflection of this type of normal elastic vibrations at the crystal boundary.
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References
V. A. Krasil’nikov and V. V. Krylov, Introduction to Physical Acoustics (Nauka, Moscow, 1984).
M. K. Balakirev and I. A. Gilinskii, Waves in Piezoelectric Crystals (Nauka, Novosibirsk, 1982).
B. A. Strukov and A. P. Levanyuk, Physical Principles of Ferroelectric Phenomena in Crystals (Nauka, Moscow, 1983).
R. Blinc and B. Zeks, Soft Modes in Ferroelectrics and Antiferroelectrics (North-Holland, Amsterdam, 1974; Mir, Moscow, 1975).
V. G. Bar’yakhtar, I. M. Vitebskii, Yu. G. Pashkevich, et al., Zh. Éksp. Teor. Fiz. 89, 189 (1985) [Sov. Phys. JETP 62, 108 (1985)].
I. E. Dikshtein, V. V. Tarasenko, and V. G. Shavrov, Fiz. Tverd. Tela (Leningrad) 19, 1107 (1977) [Sov. Phys. Solid State 19, 644 (1977)].
Yu. A. Kosevich and E. S. Syrkin, Fiz. Tverd. Tela (Leningrad) 26, 2927 (1984) [Sov. Phys. Solid State 26, 1769 (1984)].
Yu. A. Kosevich and E. S. Syrkin, Zh. Éksp. Teor. Fiz. 89, 2221 (1985) [Sov. Phys. JETP 62, 1282 (1985)].
A. M. Kosevich, Yu. A. Kosevich, and E. S. Syrkin, Zh. Éksp. Teor. Fiz. 88, 1089 (1985) [Sov. Phys. JETP 61, 639 (1985)].
Yu. V. Gulyaev and P. E. Zil’berman, Izv. Vyssh. Uchebn. Zaved., Fiz. 31, 6 (1988).
Yu. V. Gulyaev, I. E. Dikshtein, and V. G. Shavrov, Usp. Fiz. Nauk 167, 735 (1997) [Phys. Usp. 40, 701 (1997)].
V. N. Lyubimov, Kristallografiya 25, 675 (1980) [Sov. Phys. Crystallogr. 25, 389 (1980)].
V. I. Al’shits, J. Lothe, and V. N. Lyubimov, Kristallografiya 28, 635 (1983) [Sov. Phys. Crystallogr. 28, 374 (1983)].
S. V. Gerus, I. E. Dikshtein, V. V. Tarasenko, and V. D. Kharitonov, Fiz. Tverd. Tela (Leningrad) 19, 218 (1977) [Sov. Phys. Solid State 19, 124 (1977)].
M. G. Cottam, D. R. Tilley, and B. Zeks, J. Phys. C 17, 1793 (1984).
A. G. Khachaturyan, The Theory of Phase Transformations and the Structure of Solids Solutions (Nauka, Moscow, 1974).
F. Tricomi, Differential Equations (Hafner, New York, 1961; Inostrannaya Literatura, Moscow, 1962).
J. Birman, Theory of Crystal Space Groups and Infra-Red Raman Lattice Processes of Insulating Crystals (Springer-Verlag, Heidelberg, 1974; Mir, Moscow, 1978), vol. 1.
V. G. Bar’yakhtar, A. G. Kvirikadze, and V. A. Popov, Zh. Éksp. Teor. Fiz. 59, 898 (1970) [Sov. Phys. JETP 32, 488 (1971)].
V. V. Eremenko, S. A. Zvyagin, Yu. G. Pashkevich, et al., Zh. Éksp. Teor. Fiz. 93, 2075 (1987) [Sov. Phys. JETP 66, 1184 (1987)].
L. M. Brekhovskikh, Waves in Layered Media (Nauka, Moscow, 1973; Academic, New York, 1980).
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Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 119, No. 2, 2001, pp. 374–387.
Original Russian Text Copyright © 2001 by Tarasenko.
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Tarasenko, S.V. Local geometry of the isofrequency phonon surface and the spectral structure of generalized lamb waves on a bounded ferroelastic substance. J. Exp. Theor. Phys. 92, 326–337 (2001). https://doi.org/10.1134/1.1354690
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DOI: https://doi.org/10.1134/1.1354690