Electric componentes of acoustic fields in piezoelectrics and some their topological features

• Autorzy: Alshits V. I. , Lyubimov V. N. , Radowicz A.
• Konferencja: Workshop on dynamic problems in anisotropic solids (3; 19.11.2003; Kielce, Polska)
• Języki publikacji: EN

Abstrakty

EN

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) = O, and for specific points mo of vanishing electric displacements, D(mo) = O, on the unit sphere of propagation directions m2 = 1. It is proved that the both types of specific directions must exist in any (even triclinic) crystals.The obtained equations are solved for a series of examples of particular crystal symmetry. It is shown that the vectors D(m) being generally orthogonal to the wave normal m are characterized bydefinite orientational singularities in the vicinity of mo and can be described by the poincare indices n+O, +- 1 or +-2. The algebraic expressions for indices n are found both for unrestricted anisotropy and for a series of particular cases.

Słowa kluczowe

EN

acoustics; anisotropy

• Wydawca: Wydawnictwo Politechniki Świętokrzyskiej
• Czasopismo: Zeszyty Naukowe Politechniki Świętokrzyskiej. Mechanika
• Rocznik: 2004
• Tom: Z. 81
• Strony: 45--69
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Alshits V. I.

• A. V. Shubnikov Institute Of Crystallography RAS, Moscow, Russia
• Polish-Japanese Institute of Information Technology, Warsaw Poland

autor

Lyubimov V. N.

• A. V. Shubnikov Institute of Crystallography, RAS, Moscow, Russia

autor

Radowicz A.

• Kielce University of Technology, Poland

Bibliografia

• 1. Dieulesaint, E. and Royer, D. (1974) Elastic Waves in Solids. Application to Signal Processing, Masson et Cie.
• 2. Balakirev, M.K. and Gilinskii, I.A. (1982) Waves in Piezoelectric Crystals, Nauka, Novosibirsk (in Russian).
• 3. Alshits, V.I. and Lyubimov, V.N. (1990) Acoustic waves with extremal electro (magneto) mechanical coupling in piezocrystals, Sov. Phys. Crystallogr. 35, No 6, 780-782.
• 4. Alshits, V.I., Lyubimov, V.N., Sarychev, A.V. and Shuvalov, A.L. (1987) Topological characteristics of singular points of the electric field accompanying sound propagation in piezoelectrics, Sov. Phys. JETP 66, #2, 408-413.
• 5. Maugin, G.A. (1988) Continuum Mechanics of Electromagnetic Solids, North-Holland, Amsterdam.
• 6. Sirolin, Yu.I. and Shaskolskaya, M.P. (1982) Fundamentals of Crystal Physics, “Mir” Publishers, Moscow.
• 7. Fedorov, F.I. (1968) Theory of Elastic Waves in Crystals, Plenum Press, New York.
• 8. Alshits, V.I. and Lothe, J. (1979) Elastic waves in triclinic crystals. III. Existence problem and some general properties of exceptional surface waves, Sov. Phvs. Crystallogr. 24, #6, 644-648.
• 9. Holm, P. (1992) Generic elastic media, Physica Ser. T44, 122-127.
• 10. Courant, R. and Robbins, H. (1941) What is Mathematics, Oxford University Press, London, Ch. V.