# acoustic interferometer

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## Acoustic interferometer

An instrument that is sensitive to the interference of two or more acoustic waves. It provides information on acoustic wavelengths that is useful in determining the velocity and absorption of sound in samples of gases, liquids, and materials, and it yields information on the nonlinear properties of solids.

In its simplest form, an acoustic interferometer for use in liquids has a fixed piezoelectric crystal (acting as a transmitter) tuned to the frequency of interest and a parallel reflector at a variable distance from it. Driven by an oscillating electrical voltage, the piezoelectric crystal generates a sound wave, which in turn is reflected by the reflector. The acoustic pressure amplitude on the front face of the crystal depends on the velocity amplitude at the face and the distance to the reflecting surface. The amplitude ratio (radiation impedance) of the acoustic pressure to the velocity and the relative phase shift between the two oscillating quantities depend solely on the distance to the reflecting surface. If the reflector acts as a rigid surface, this amplitude ratio is ideally zero whenever the net round-trip distance between the crystal and the reflector is an odd number of half-wavelengths because the reflected wave is then exactly out of phase with the incident wave at the crystal's location. The crystal then draws the maximum current since the oscillations are unimpeded. See Acoustic impedance, Piezoelectricity, Wave motion, Wavelength

During operation, the current drawn by the crystal is monitored as the reflector is gradually moved away from the crystal. Whenever the reflector position is such that the crystal is at a pressure antinode (place of maximum pressure in a standing wave), there is a strong dip in the current drawn due to the relatively high radiation impedance presented by the standing wave to the crystal face. Consecutive antinodes are a half-wavelength apart. For a given frequency f, a measured distance L between the location of any one antinode and that of its nth successor yields the wavelength 2L/n and the speed of sound c = 2Lf/n. An acoustic interferometer based on this principle can achieve a precision of 0.01%. Since the current drawn by the crystal is relatively insensitive to the frequency for a given radiation impedance, the sound speed can also be determined by keeping the distance between the crystal and the reflector fixed and gradually sweeping the frequency.

The pressure nodes and antinodes correspond to the local maxima and minima, respectively, in the current drawn. The peak of the current amplitude decreases with the distance traversed by the reflector. If the separation distance is sufficiently large that the exponential decrease associated with absorption dominates any spreading losses, the absorption coefficient for the medium can be derived by measurement of the ratios of current amplitudes at two successive points where the current drawn is a local maximum. See Sound, Sound absorption; Ultrasonics

McGraw-Hill Concise Encyclopedia of Physics. © 2002 by The McGraw-Hill Companies, Inc.

## acoustic interferometer

[ə′küs·tik in·tər·fə′rä·məd·ər]
(acoustics)
A device for measuring the velocity and attenuation of sound waves in a gas or liquid by an interference method.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
An acoustic interferometer is a cylindrical resonator in which one end is a moveable piston, so that the cavity's length is variable.
Then we estimate the perturbations due to the duct on the radial modes of a 5 cm radius spherical resonator and on the longitudinal modes of a 5 cm radius acoustic interferometer with variable length between 10 cm and 20 cm.
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