By D. S. Ballantine Jr., Robert M. White, S. J. Martin, Antonio J. Ricco, E. T. Zellers, G. C. Frye, H. Wohltjen, Moises Levy, Richard Stern
Written via an interdisciplinary crew of specialists from either and academia, this ebook presents an in-depth examine the present country of acoustic wave units and the scope in their use in chemical, biochemical, and actual measurements, in addition to in engineering functions. as a result of inherent interdisciplinary purposes of those units, this booklet should be worthy for the chemist and biochemist drawn to the use and improvement of those sensors for particular functions; engineer serious about the layout and development of those units; the chemical engineer and the biotechnologist drawn to utilizing those units for approach tracking and regulate; and the sensor group at huge.
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Additional resources for Acoustic Wave Sensors - Theory, Design, and Physico-Chemical Applications
From conservation of energy, the power dissipated by the wave I'd (power/volume) must be balanced by a reduction in power transmitted by the wave P. 53) OP = -2aP. 55 indicates the relationship between wave attenuation and power dissipation in the medium: attenuation is one-half the ratio of power dissipated to power transmitted by the wave. Note that in the derivations of this section, velocity and attenuation changes depend on ratios of energy and power, not on absolute levels. Consequently, in the small-signal limit, velocity and attenuation changes are independent of wave amplitude.
29) The effect of coupling between displacement and potential in piezoelectric plane waves can best be illustrated by an example. Consider the propagation of a z-polarized, x-propagating shear wave in a ZnO crystal. Write the equation(s) describing the electric fieM. 3o) and 02u3 O2t~ ex5 Ox----T" - ~l I - ~ = 0. 32) while ul and u2 are zero. 11 with the following substitution for the term in parentheses: c55 = c55 1 + e~5 C55ffl I = c55(1 + K2). 33) 8Note that the source term is non-zero only in regions where it varies spatially.
21. 13, but with the motional impedance given by: 1 Zrn = (Rl + R2) + joa(Li + L2) + jtoC----? 22) Since the series resonant frequency is defined as the point where motional inductance and capacitance resonate, the motional inductance L2 causes a shift in series resonant frequency (relative to the unperturbed case) given by: Afs = L2fs 2(L! 23) The formalism outlined above will be applied to determine equivalent-circuit models for a TSM resonator with (1) an ideal mass layer, (2) a contacting semiinfinite liquid, and (3) a viscoelastic film.
Acoustic Wave Sensors - Theory, Design, and Physico-Chemical Applications by D. S. Ballantine Jr., Robert M. White, S. J. Martin, Antonio J. Ricco, E. T. Zellers, G. C. Frye, H. Wohltjen, Moises Levy, Richard Stern