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Additional resources for Acoustic Wave Sensors: Theory, Design
19, the motional impedance elements L2 and R2 can be related to the components of the surface mechanical impedance as [ 14] N'n" Re(Zs) R2 = 4K2tosCo Zq N~r Im(Zs) L2 = 4K2~2sCo ---:---. 1 Thickness-Shear Mode Resonator (a) (b) __L_k. 1 51 ,,, T ILl /r t Co : = C1 Co = ==C 1 R1 R1 L2 R2 J, Lumped-elementequivalent-circuit models for the perturbed resonator [ 14]" (a) with complex impedance element Ze, and (b) with motional inductance L2 and resistance R2. (Reprinted with permission. See Ref. .
IAs noted in Chapter 1, with all of these devices one has the option of using the device as part of an active c i r c u i t - one containing an energy source such as a battery m or in a passive manner where one measures the device characteristics by supplying a time-varying probe signal to the device. In the active device measurement mode, one monitors the oscillation frequency. 1 c. 36 ACOUSTIC WAVE SENSORS Copyright 9 1997 by Academic Press All rights of reproduction in any form reserved. 1 Schematic sketches of the four types of acoustic sensors.
Thus, the peak electrical energy density is 1. E = Ue= - ~ - D el l (jkexsu3 ]j 2 = / - - - 2 \ r k2e2u 2 x5 3 . 46) The last term is approximately equal to K 2 when K 2 '~ 1. Thus, the electromechanical coupling coefficient (/(2) has a second interpretation: K 2 is approximately equal to the ratio of peak electrical energy density to peak strain energy density. 3 Perturbations in Acoustic Wave Propagation In acoustic-wave sensor applications, one typically detects the change of wave velocity v and/or attenuation a that is induced as the device interacts with the environment.