NEW MATHEMATICAL FORMULATION FOR PIEZOELECTRIC WAVE PROPAGATION

被引:20
作者
KRAUT, EA
机构
[1] Science Center, North American Rockwell Corporation, Thousand Oaks
来源
PHYSICAL REVIEW | 1969年 / 188卷 / 03期
关键词
D O I
10.1103/PhysRev.188.1450
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Elastic waves in a general anisotropic piezoelectric medium are discussed in terms of an eight-dimensional vector formalism. The eight-dimensional state vectors have the physical significance that their first three components represent the local particle displacement, the second three components represent the stresses on an arbitrarily selected plane, and the seventh and eight components represent the electric displacement normal to this plane and to the scalar electric field potential, respectively. As an application of the formalism, the dispersion relations for bulk waves and surface waves in Bi12GeO20 are derived, and the dispersion relations are given for a system consisting of a vacuum followed by an arbitrary piezoelectric film on an arbitrary semi-infinite piezoelectric substrate. Expressions are given for the propagator in arbitrary heteroepitaxial structures, and the boundary conditions associated with electrical or mechanical excitation of such structures is discussed. © 1969 The American Physical Society.
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页码:1450 / +
页数:1
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