Pulsed Sound Waves in a Compressible Fluid

PDF (Size:101KB) PP. 1204-1206   DOI: 10.4236/am.2011.210167

Author(s)

Pierre Hillion

ABSTRACT

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.

KEYWORDS

Sound Wave, Unit Step Function, Travelling Pulses, Compressible Fluid

Cite this paper

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.

References

[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