Pulsed Sound Waves in a Compressible Fluid
Pierre Hillion
DOI: 10.4236/am.2011.210167   PDF    HTML     4,090 Downloads   7,004 Views  


The propagation along oz of pulsed sound waves made of sequences of elementary unit pulses U (sin τ) where U is the unit step function and τ = kzωt is analyzed using the expansion of U (sin τ) and of the Dirac distribution δ (sin τ) in terms of τ where n is an integer. Their properties and how these pulsed sound waves could be generated are discussed.

Share and Cite:

P. Hillion, "Pulsed Sound Waves in a Compressible Fluid," Applied Mathematics, Vol. 2 No. 10, 2011, pp. 1204-1206. doi: 10.4236/am.2011.210167.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] C. Boyd-Brewer, “Vibro Acoustic the Rapy: Sound Vi-brations in Medicine,” Alternative and Complementary Therapies, Vol. 9, 2005, pp. 257-263.
[2] Sonar Site Internet (Wikipedia.)
[3] Ch. Hellier, “Ultrasonic testing in Hand-book of Nondestructive Evaluation,” Mac Graw Hill, New York, 2003.
[4] L. D. Landau and E. M. Lifshitz, “Fluid Mechanics,” Pergamon, London, 1959.
[5] B. Van Der Pol and H. Bremmer, “Opera-tional Calculus,” University Press, Cambridge, 1959.
[6] B. J. Van Gutfeld and R. L. Melcher, “20 MH Acoustic Waves from Pulsed Thermoelastic Expansion of Constrained Surface,” Applied Physics Letters, Vol. 30, No. 6, 1977, pp. 257-259. doi:10.1063/1.89375
[7] A. Puskarev, J. Isakova, G. Kholudnaya and R. Sazonov, “Sound Waves Due to the Absorption of a Pulsed Elec-tronic Beams,” Advances in Sound Localization Intech, 2011.
[8] C. Bacon, E. Guillorit, B. Hosten and D. Chimenti, “Acousric Waves by Pulsed Microwaves in Viscoelastic Rods,” Journal of the Acoustical Society of America, Vol. 110, 2001, pp. 1396-1407. doi:10.1121/1.1391241

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.