We consider propagation of intense acoustic beams having a noise temporal structure at the initial aperture. The evolution of the probability distribution and the wave spectrum at a discontinuous stage of propagation is studied experimentally when the field on the radiator axis represents a sequence of discontinuities with universal behavior between them. It has been shown, both theoretically and experimentally, that in this case the field spectrum retains its shape determined by the probability distribution of the frequency of the initial wave.
Similar content being viewed by others
References
D. M. Blackstock, in: Proc. Third Interagency Symposium on University Res. Trans. Noise, University of Utah, Salt Lake City (1975), p. 389.
B. J. Tester and C. L. Morfey, J. Sound Vibration, 46, No. 1, 79 (1976).
C. L. Morfey and G. P. Howell, Am. Inst. Aeron. Astron. J, 19, 986 (1981).
M. J. Crocker, ed., Handbook of Noise and Vibration Control, John Wiley and Sons, Hoboken (2007).
K. L. Gee, T. B. Gabrielson, A. A. Atchley, and V. W. Sparrow, Am. Inst. Aeron. Astron. J., 43, No. 6, 1398 (2005).
K. L. Gee, V. W. Sparrow, M. M. James, et al., J. Acoust. Soc. Am., 123, No. 6, 4082 (2008).
D. F. Pernet and R. C. Payne, J. Sound Vib., 17, No. 3, 383 (1971).
F. M. Pestorius and D.T. Blackstock, in: L. Bjorno, ed., Finite-Amplitude Wave Effects in Fluids, IPC Sci. Technol. Press, Ltd., Guildford (1973), p. 24.
K. Sakagami, S. Aoki, I. M. Chou, et al., J. Acoust. Soc. Japan. E, 3, No. 1, 43 (1982).
L. Bjorno and S. N. Gurbatov, Akust. Zh., 31, No. 3, 303 (1985).
M. Muhlestein and K. Gee, in: Proc. Meetings Acoust., 161-ASA, 23–27 May, 2011, Vol. 12, 045002.
B. O. Reichman, M. B. Muhlestein, K. L. Gee, et al., J. Acoust. Soc. Am., 139, No. 3, 1390 (2016).
O.V. Rudenko and S. I. Soluyan, Theoretical Fundamentals of Nonlinear Acoustics [in Russian], Mauka, Moscow (1975).
N. S. Bakhvalov, Ya. M. Zhileikin, and E. A. Zaboloyskaya, Nonlinear Theory of Sound Beams [in Russian], Nauka, Moscow (1982).
O.V. Rudenko, Acoust. Phys., 56, No. 4, 457 (2010).
O.V. Rudenko, Sov. Phys. Usp., 29, No. 7, 620 (1986).
J. Bec and U. Frisch, in: M. Lesieur, A. Yaglom, and F. David, eds., New Trends in Turbulence, Springer-EDP Sciences, Berlin (2001), p. 341.
S. N. Gurbatov and O. V. Rudenko, in: M. F. Hamilton and D. T. Blackstock, eds., Nonlinear Acoustics, Academic Press, New York (1998), p. 377.
W. A. Woyczynski, Burgers-KPZ Turbulence. Gottingen Lectures, Springer–Verlag, Berlin (1998).
J. Bec and K. Khanin, Phys. Reports, 447, Nos. 1–2, 1 (2007).
S. N. Gurbatov, O. V. Rudenko, and A. I. Saichev, Waves and Structures in Nonlinear Nondispersive Media: General Theory and Applications to Nonlinear Acoustics, Springer–Verlag, Berlin (2011).
S. Gurbatov, M. Deryabin, D. Kasyanov, and V. Kurin, J. Sound Vibration, 439, 208 (2019).
O. V. Rudenko, S. N. Gurbatov, and C. M. Hedberg, Nonlinear Acoustics Through Problems and Examples, Trafford Publishing, Bloomington (2010).
O. V. Rudenko and A. S. Chirkin, Akust. Zh., 20, No. 2, 297 (1974).
S. N. Gurbatov, and A. N. Malakhov, Akust. Zh., 23, No. 4, 569 (1977).
S. N. Gurbatov and L.G. Shepelevich, Radiophys. Quantum Electron., 21, No. 11, 1131 (1978).
S. N. Gurbatov, M. S. Deryabin, D. A. Kasyanov, and V. V. Kurin, Radiophys. Quantum Electron., 59, No. 10, 794 (2016).
S. N. Gurbatov, M. S. Derybin, D. A. Kas’yanov, and V. V. Kurin, Acoust. Phys., 63, No. 3, 260 (2017).
V. G. Andreev, A. A. Karabutov, and O. V. Rudenko, Akust. Zh., 31, No. 4, 423 (1985).
O. Sapozhnikov, V. Khokhlova, and D. Cathino, J. Acoust. Soc. Am., 115, No. 5, 1982 (2004).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 61, No. 7, pp. 541–554, July 2018.
Rights and permissions
About this article
Cite this article
Gurbatov, S.N., Deryabin, M.S., Kasyanov, D.A. et al. Evolution of Narrow-Band Noise Beams for Large Acoustic Reynolds Numbers. Radiophys Quantum El 61, 478–490 (2018). https://doi.org/10.1007/s11141-018-9909-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11141-018-9909-0