Acoustic Surface Waves (Topics in Applied Physics) by Arthur A. Oliner, Eric A. Ash, G.W. Farnell, H.M. Gerard,
By Arthur A. Oliner, Eric A. Ash, G.W. Farnell, H.M. Gerard, A.A. Oliner, A.J. Slobodnik Jr., H.I. Smith
With contributions by way of a variety of specialists
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Additional info for Acoustic Surface Waves (Topics in Applied Physics)
This geometry is referred to as Y Z , indicating Y cut, Z propagating. 6 o. 4 \ ~ .... 2 I11 O~ ",\\ I 2 :3 -X¥x Fig. 10. Magnitudes of vertical and longitudinal displacement components for propagation in the Z directionon the Yface(XZ plane) of LiNbOa for surface free and metallized. 39) high electromechanical coupling, low losses, ease of fabrication, ready availability, and several other attractive attributes for surface waves so that it will be the material most discussed in the later chapters.
9]. O f particular interest here is the behavior with increasing plate thickness of the lowest symmetric and antisymmetric modes. It is seen that the phase velocities of both Types and Properties of Surface Waves _ --- 23 V I ¥ I V = ~3 o, w > kh I I I I I 2 4 6 8 I0 i 12 I I [ '14 16 18 Fig. 3. Dispersion curves for symmetric (s) and antisymmetric (a) modes of an isotropic plate of thickness h. , and v~are the Rayleigh velocity and the bulk transverse and longitudinal velocities, respectively modes become asymptotic to the same value, and that value is the velocity of a Rayleigh wave on a half-space o f the same material.
Thus, for most cases the electrical terms and the electromechanical terms can be treated as perturbations for energy considerations in fi'eely propagating ultrasonic waves. O f course, in dealing with coupling between electrical circuits and the acoustic wave, such perturbations become of primary importance, and this electromechanical coupling will be illustrated for many surface wave geometries in succeeding chapters. 24), which is of great assistance in the discussion of electromechanical coupling with electrodes and of intermode coupling, but here we concentrate on the propagation characteristics of acoustic waves in a source-free region of a homogeneous half-space.