Absorption of sound by noise in one dimension

Journal of the Acoustical Society of America

Volumn 100, Issue 6, 1996, Pages 3554-3560

  Larraza, Andrés ^a   Denardo, Bruce ^b   Atchley, Anthony ^a  

^a NAVAL POSTGRADUATE SCHOOL   (United States)

^b UNIVERSITY OF MISSISSIPPI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; NOISE; PRIORITY JOURNAL; SOUND INTENSITY; SOUND TRANSMISSION; ULTRASOUND;

EID: 0029768659     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.417332     Document Type: Article

References (29)

1. L. D. Landau and G. Rumer, "On the absorption of sound in solids," in Collected Papers of L. D. Landau, edited by D. ter Haar (Pergamon, Oxford, 1965), pp. 187-192.
2. P. J. Westervelt, "Absorption of sound by sound," J. Acoust. Soc. Am. 59, 760-764 (1976).
3. H. J. Maris, "Hydrodynamics of superfluid helium below 0.6 K. II. Velocity and attenuation of ultrasonic waves," Phys. Rev. A 8, 2629-2639 (1973).
4. T. K. Stanton and R. T. Beyer, "The interaction of sound with noise in water," J. Acoust. Soc. Am. 64, 1667-1670 (1978); T. K. Stanton and R. T. Beyer, "Interaction of sound with noise in water II," J. Acoust. Soc. Am. 69, 989-992 (1981).
5. T. K. Stanton and R. T. Beyer, "The interaction of sound with noise in water," J. Acoust. Soc. Am. 64, 1667-1670 (1978); T. K. Stanton and R. T. Beyer, "Interaction of sound with noise in water II," J. Acoust. Soc. Am. 69, 989-992 (1981).
6. O. Rudenko and A. Chirkin, "Theory of nonlinear interaction between monochromatic and noise waves in weakly dispersive media," Sov. Phys. JETP 40, 945-949 (1975).
7. O. V. Rudenko and S. I. Soluyan, Theoretical Foundations of Nonlinear Acoustics (Consultants Bureau-Plenum, New York, 1977), pp. 259-267.
8. A. Newell and P. J. Aucoin, "Semidispersive wave systems," J. Fluid Mech. 49, 593-609 (1971).
9. J. S. Foster and S. J. Putterman, "Parametric self-enhancement of the spontaneous decay of sound in superfluid liquid helium," Phys. Rev. Lett. 54, 1810-1813 (1985).
10. For fully developed noise in the shock regime, a signal exhibits an exponential attenuation with an attenuation length proportional to the square root of the noise intensity (G. Falkovich and A. Larraza, unpublished). However, it is not clear that shocks were present in the experiment of Foster and Putterman.
11. D. J. Benney and P. J. Safffman, "Nonlinear interactions of random waves in a dispersive medium," Proc. R. Soc. London Ser. A 289, 301-320 (1966).
12. Theoretical implications and preliminary experimental results are given in: A. Larraza and B. Denardo, "Absorption of sound by noise in one dimension," J. Acoust. Soc. Am. 91, 2330 (A) (1992); B. Denardo, A. Larraza, A. Atchley, and S. Dorff, "Absorption of sound by noise in one dimension," J. Acoust. Soc. Am. 93, 2383 (A) (1993); A. Larraza, and B. Denardo, "Absorption of sound by noise in one dimension," J. Acoust. Soc. Am. 99, 2539 (A) (1996).
13. Theoretical implications and preliminary experimental results are given in: A. Larraza and B. Denardo, "Absorption of sound by noise in one dimension," J. Acoust. Soc. Am. 91, 2330 (A) (1992); B. Denardo, A. Larraza, A. Atchley, and S. Dorff, "Absorption of sound by noise in one dimension," J. Acoust. Soc. Am. 93, 2383 (A) (1993); A. Larraza, and B. Denardo, "Absorption of sound by noise in one dimension," J. Acoust. Soc. Am. 99, 2539 (A) (1996).
14. Theoretical implications and preliminary experimental results are given in: A. Larraza and B. Denardo, "Absorption of sound by noise in one dimension," J. Acoust. Soc. Am. 91, 2330 (A) (1992); B. Denardo, A. Larraza, A. Atchley, and S. Dorff, "Absorption of sound by noise in one dimension," J. Acoust. Soc. Am. 93, 2383 (A) (1993); A. Larraza, and B. Denardo, "Absorption of sound by noise in one dimension," J. Acoust. Soc. Am. 99, 2539 (A) (1996).
15. D. A. Webster and D. T. Blackstock, "Collinear interaction of noise with a finite-amplitude tone," J. Acoust. Soc. Am. 63, 687-693 (1978).
16. L. E. Kinsler, A. R. Frey, A. B. Coppens, and J. V. Sanders, Fundamentals of Acoustics (Wiley, New York, 1982), 3rd ed., pp. 209-210.
17. V. P. Kuznetsov, "On the spectra of high intensity noise," Sov. Phys. Acoust. 16, 129-130 (1970).
18. -2 high frequency tail. See F. M. Pestorius and D. T. Blackstock, "Propagation of finite-amplitude noise," in Finite-amplitude Wave Effects in Fluids, edited by L. Bjørnø (IPC Science and Technology, Guildford, 1974), pp. 24-29.
19. S. J. Dorff, "Apparatus for measuring the absorption of sound by noise in one dimension," Master's thesis, Naval Postgraduate School, Monterey, California, 1991.
20. S. H. Burns, "Rational design of matched absorbing terminations for tubes," J. Acoust. Soc. Am. 49, 1693-1697 (1971).
21. The theory by Rudenko and Chirkin also contemplates the possibility of a finite-amplitude signal in the shockless regime. In that case, their prediction is that the Gaussian attenuation is modulated by a Bessel function of zero order. Because we are interested in linear relaxations of a far off equilibrium state, we chose to investigate only the quasilinear approximation.
22. The uncertainty analysis does not include the effect of sidebands resulting from the interaction of the signal and the noise. However, the corresponding energy density near the signal frequency (within the bandwidth of the lock-in amplifier) can be shown to be negligible.
23. A. Larraza, "Universal power spectra for wave turbulence: Applications to wind waves, flicker noise, solar wind spectrum, and classical second sound," Ph. D. dissertation, University of California, Los Angeles (1987).
24. V. E. Zakharov, V. S. L'vov, and G. Falkovich, Kolmogorov Spectra of Turbulence (Springer-Verlag, Heidelberg, 1992), Vol. 1: Wave Turbulence.
25. A. N. Pushkarev and V. E. Zakharov, "Turbulence of capillary waves," Phys. Rev. Lett. 76, 3320-3323 (1996); W. Wright, R. Budak, and S. Putterman, "Diffusing light photography of fully developed isotropic wave turbulence," Phys. Rev. Lett. 76, 4528-4531 (1996).
26. A. N. Pushkarev and V. E. Zakharov, "Turbulence of capillary waves," Phys. Rev. Lett. 76, 3320-3323 (1996); W. Wright, R. Budak, and S. Putterman, "Diffusing light photography of fully developed isotropic wave turbulence," Phys. Rev. Lett. 76, 4528-4531 (1996).
27. A 1/f spectrum has been derived from a mathematical model nonlinear wave equation in three dimensions. See Ref. 20 and A. Larraza, S. Putterman, and P. Roberts, "A universal 1/f power spectrum as the accumulation point of wave turbulence," Phys. Rev. Lett. 55, 897-900 (1985).
28. M. J. Sheeny and R. Halley, "Measurements of the attenuation of low frequency underwater sound," J. Acoust. Soc. Am. 29, 464-469 (1957).
29. V. A. Krasil'nikov, O. B. Rudenko, and A. S. Chirkin, "Absorption of low-amplitude sound due to interaction with noise," Sov. Phys. Acoust. 21, 80-81 (1975).