Gordon S. Kino's Acoustic Waves: Devices, Imaging, and Analog Signal PDF

By Gordon S. Kino

ISBN-10: 0130030473

ISBN-13: 9780130030474

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Extra info for Acoustic Waves: Devices, Imaging, and Analog Signal Processing (Prentice-Hall Signal Processing Series)

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Typically, the larger the ratio of impedances Z,"/ Z L or Z,/Z,,, the narrower the bandwidth of the impedance match. Techniques also exist for matching with multiple quarter-wavelength layers to improve the bandwidth. The reader is referred to the considerable literature on this subject which has been developed to deal with the problem of matching transmission lines [2-51. Another important case is the reflection of an acoustic pulse by an interface. We consider a stress pulse of valueFn(t, z ) = F(t - z/V,) incident on the interface z = 0, as illustrated in Fig.

4 Piezoelectric Transducers 41 . 12 KLM model of a piezoelectric transducer: 4 = kT(dwOC,,ZC)l’ * sinc ( d 2 w o ) and C‘ = - Co/[k+sinc (O/oO)]. (From Krimholtz et al. ) ELECTRICAL po/:l center of a transmission line. Its disadvantage is that the ratio of the required transformer varies with frequency. The KLM model is represented by the three-port network shown in Fig. 12. This equivalent circuit relates the voltage V, and the current Z3 at the electrical port to the forces Fl = -AT( - U2) and F2 = -AT(N2) and the velocities v, = v(-Z/2) and v2 = -w(l/2).

Over this frequency range, assume that the induced fields in the material are uniform. Assume that the transducer has the same impedance as the material with which it is in contact, and that it is terminated on its other side with a matched impedance. Use e,, for e. Consider a capacitive transducer consisting of two metal electrodes spaced by an air gap of width 1. Assume that a dc field E, is applied to the transducer and induces charges plo and -pa per unit area on each electrode. Show that if the charge on the electrodes is kept constant, the induced transducer voltage is proportional to the RF displacement U at its front surface.

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Acoustic Waves: Devices, Imaging, and Analog Signal Processing (Prentice-Hall Signal Processing Series) by Gordon S. Kino


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