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absorption Acoust acoustic impedance Amer amplitude applications approximately barium titanate beam boundary bubbles cavitation characteristic impedance clamped coefficient components compressibility compressional constant crystal curve cylinder damping density depends determined diameter diffraction discussed displacement effects elastic electric electric impedance element energy equation equivalent circuit example factor fluid force frequency range function gases harmonic heat heat conduction Huyghens illustrated in Fig intensity kcps length liquid load longitudinal waves losses magnetic magnetostrictive mass material maximum mcps measurements mechanical medium molecules motion obtained oscillator particle velocity Phys piezoelectric plane waves plate pulse quantities quartz radiation radiation pressure radius ratio reactance reflected resistance resonance frequency Rochelle salt Section shear waves shown in Fig solid sonic sound field sound pressure sound velocity sound wave standing wave stiffness surface techniques temperature thickness transducer transmission tube ultrasonic unit vibration viscosity voltage volume wavelength