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

Alshits V. I., Lyubimov V. N., Radowicz A.

Zeszyty Naukowe Politechniki Świętokrzyskiej. Mechanika

2004

Z. 81

45-69

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.

The peculiarities of the resonant excitations of surface elastic waves in dissipative anisotropic media

Alshits V. I., Lyubimov V. N., Radowicz A.

Zeszyty Naukowe Politechniki Świętokrzyskiej. Mechanika

1998

Z. 66

45-53

Elastic waves in absortive anisotropic media : pekuliarities of wave surfaces and singularities in the polarization fields

Alshits V. I., Lyubimov V. N.

Zeszyty Naukowe Politechniki Świętokrzyskiej. Mechanika

1998

Z. 66

15-43