By Gordon S. Kino
Read Online or Download Acoustic Waves: Devices, Imaging, and Analog Signal Processing (Prentice-Hall Signal Processing Series) PDF
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Extra resources for Acoustic Waves: Devices, Imaging, and Analog Signal Processing (Prentice-Hall Signal Processing Series)
The energy definition for Kz will be discussed in Sec. 3. 5 gives various definitions of K 2for wave fields applied in arbitrary directions in anisotropic piezoelectric materials. Sec. 2 Piezoelectric Materials 21 Now it is easy to define the propagation constant in the piezoelectric medium for a wave of frequency o. , a perfectly conducting medium). 5. Stress-freedielectric constant. Let us consider the properties of a finitelength medium of infinite cross section. In this case, D may be finite and we can define an effective dielectric constant of the medium.
The formalism required to deal with the general case of propagation of an acoustic wave in an arbitrary direction in an anisotropic material is given in Appendix A. The techniques developed there are applied to propagation of waves in finite isotropic media in Chapter 2. Fortunately, in isotropic materials, it is always possible to resolve any waves present into plane shear wave and longitudinal wave components. In a finite isotropic medium, however, both types of fields are required to satisfy the boundary conditions.
11) Therefore, Eqs. 13) where the total stored energy per unit volume is W = W, + W, + W E . Because the square of the piezoelectric coupling constant K 2 is normally small, the stored electrical energy is usually much less than the total stored energy in a piezoelectric medium. The same results also follow simply from the one-dimensional static equations. e.? no charge flows into the system). 15) Thus the increase in stored energy due to the piezoelectric effect is K2W,. To put it another way, it follows from Eq.