Archives of Acoustics, 1, 2, pp. 109-125, 1976

General conditions of phase cancellation in an acoustic field

Michał Vogt
Institute of Fundamental Technological Research Polish Academy of Sciences
Poland

The dependence of the degree of cancellation of an acoustic field, expressed by the field cancellation factor, on the correlation parameters of the signals: cancelling and cancelled is derived. Using this dependence, the necessary con-ditions — in terms of phase and amplitude — for the occurrence of the cancella¬tion phenomenon at a field point are determined.
The possibility of the cancellation of larger regions of acoustic fields is investigated using such parameters as spectral characteristics of various signal classes and mutual distances of the cancelling and cancelled sources.
A classification into natural and forced cancellation is introduced and
the classes of signals which can be cancelled in a natural way are determined.
The conditions for the occurrence of cancellation throughout all space are determined.
Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

H. F. OLSON, M. E. MAY, Electronic sound absorbers, JASA, 25, 6, 1130-6 (1953).

S. CZARNECKI, Investigations of the sound transmission properties of a medium resulting from sound wave compensation caused by other sources, JSVib, 11, 2, 225-233 (1970).

O. BSCHORR, Lärmauslöschung durch gesteuerte Interferenz, 7 ICA, Budapest 1971, Rep. 21N8.

B. D. TARTAKOVSKY, Systems of active compensation of sound field for bounded structures, 7ICA, Budapest 1971, Rep. 21V1.

M. J. M. JESSEL, G. A. MANGIANTE, Active sound absorbers in an air duct, JSVib, 23, 3, 383-390 (1972).

J. S. BENDAT, A. G. PIERSOL, Measurement and analysis of random data, John Wiley Sons, Inc. New York 1966, p. 1-35.

R. BRACEWELL, Fourier transformation and its applications, WNT, Warszawa 1968, p. 153-194 (in Polish).