Influence of electrical boundary conditions on structure of surface acoustic waves in potassium niobate

1999 ◽  
Vol 35 (14) ◽  
pp. 1205 ◽  
Author(s):  
B. Zaitsev ◽  
I. Kuznetsova ◽  
S. Joshi
Keyword(s):  
Boundary Conditions ◽  
Acoustic Waves ◽  
Surface Acoustic Waves ◽  
Potassium Niobate ◽  
Electrical Boundary Conditions

BULK AND SURFACE ACOUSTIC WAVES IN ANISOTROPIC SOLIDS

2000 ◽  
Vol 10 (03) ◽  
pp. 653-684 ◽  
Author(s):  
ERIC L. ADLER
Keyword(s):  
Acoustic Wave ◽  
Boundary Conditions ◽  
Surface Acoustic Wave ◽  
Acoustic Waves ◽  
Surface Acoustic Waves ◽  
Guided Wave ◽  
Symmetry Properties ◽  
Interface Boundary Conditions ◽  
Matrix Differential ◽  
The Individual

In this paper methods for analyzing acoustic propagation characteristics for bulk and surface acoustic waves in anisotropic piezoelectric multilayers are described. The methods's conceptual usefulness is demonstrated by examples showing how problems of guided wave propagation in complicated layered surface acoustic wave device geometries are simplified. The formulation reduces the acoustoelectric equations to a first order ordinary matrix differential equation in the variables that must be continuous across interfaces. The solution to these equations is a transmission matrix that maps the variables from one layer face to the other. Interface boundary conditions for a planar multilayer are automatically satisfied by multiplying the individual transmission matrices in the appropriate order thus reducing the problem to imposing boundary conditions appropriate to the remaining free surface. The dimensionality of the problem being independent of the number of layers is a significant advantage. A classification scheme for reducing problem dimensionality, based on an understanding of crystal symmetry properties, further simplifies surface acoustic wave problems.

Surface Acoustic Waves in Piezoelectric Half Space With Periodic Surface Electrodes

2009 ◽  
Author(s):  
Chien-Hsun Lai ◽  
Yuan-Fang Chou
Keyword(s):  
Boundary Conditions ◽  
Half Space ◽  
Acoustic Waves ◽  
Surface Acoustic Waves ◽  
Expansion Method ◽  
Periodic Surface ◽  
Surface Electrodes ◽  
Aspect Ratios ◽  
Bloch’S Theorem ◽  
Gap Width

Surface acoustic waves of piezoelectric half space with periodic surface electrodes are investigated. Since the boundary has periodic character, Bloch’s theorem and plane wave expansion method are employed in the analysis. Modeling the periodic electrode’s mechanical effects and electric boundary conditions of short grating and open grating are major tasks. Verification is performed on a 128°YX-LiNbO3 substrate covered by aluminum electrodes. Cases of different electrode aspect ratios are also investigated. Comparisons of dispersion curves corresponding to different boundary conditions are given. The effect of electrode aspect ratio on band gap width is obvious. The developed solution scheme finds the dispersion relations and propagation modes very efficiently and accurately.

scholarly journals Shear horizontal waves in composite materials: Behavior under rotation and initial stress

2017 ◽  
Vol 24 (1) ◽  
pp. 85-97 ◽  
Author(s):  
Abo-el-nour N Abd-alla ◽  
MIA Othman ◽  
NF Hasbullah
Keyword(s):  
Mathematical Model ◽  
Composite Materials ◽  
Boundary Conditions ◽  
Initial Stress ◽  
Acoustic Waves ◽  
Surface Acoustic Waves ◽  
High Achievement ◽  
Numerical Computations ◽  
Materials Behavior ◽  
Shear Horizontal

The main scope of this paper is to present in a simple and concise way a mathematical model of composite materials able to describe the propagation of shear horizontal waves in the case where composite is rotating and subjected to an initial stress. This work is aimed at the relevant possibility to apply the obtained results for the establishment of high-achievement applications of piezoelectric and semiconductor composites and surface acoustic waves devices. We conclude by analyzing numerical computations in which the influence of the rotation, initial stress and electromagnetic boundary conditions are graphically observed.

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