Time reversibility in acoustic signals

J.M. Velázquez, A. Ramírez & C.A. Vargas

Area de Física de Procesos Irreversibles, Departamento de Ciencias Básicas, UAM-A, Av. San Pablo 180, Del. Azcapotzalco, 02200, D.F., México. E-mail: jmva@correo.azc.uam.mx

Received: February 26^th 2002.
Accepted: March 3^th 2003.

Abstract

In this work we make a description of the time reversion problem in sound waves. Our objective is to explain the phenomena through the Fourier transform of the Green's function. With this function it is possible to characterize the propagation of the emitted signal. It also can be used to express the time-reversed signal in such a way that we can select precisely the destination site of the signal. Finally, we show some possible practical applications of this problem.

Keywords: Green's Functions, Time Reversal Process, Inverse Scattering Analysis, Acoustics.

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References

[1] Colton, D. and Kress, R. Inverse Acoustic and Electromagnetic Scattering Theory, Applied Mathematical Sciences 93. Springer-Verlag, Berlin, Heidelberg 1992, 1998.         [ Links ]

[2] Sneider, R.K. and Scales, J.A. Time-reversed imaging as diagnostic of wave and particle chaos., Physical Review E, 58, (5), 5668-5675, November (1998).         [ Links ]

[3] Schiff, L.I. Quantum Mechanics. Mc Graw Hill International Editions. Auckland, Bogotá, Guatemala, Hamburg, Lisboa, London, Madrid, México, New Delhi, Panamá, Paris, San Juan, Sao Paulo, Singapore, Sydney, Tokyo, 1968.         [ Links ]

[4] Fink, M. Time Reversed Acoustics. Physics Today, 8, (3), 34-40, March (1997).         [ Links ]

[5] Fink, M. Time Reversed Acoustics. Scientific American pages 67-73, November (1999).         [ Links ]