Time reversal of noise sources in a reverberation room.

Usually, time reversal is studied with pulsed emissions. Here, the properties of time reversal of the acoustic field emitted by noise sources in a reverberation room are studied numerically, theoretically, and experimentally. A time domain numerical simulation of a two-dimensional enclosure shows that the intensity of a time-reversed noise is strongly enhanced right on the initial source position. A theory based on the link that exists between time reversal of noise and the "well-known" time reversal of short pulse is developed. One infers that the focal spot size equals half a wavelength and the signal to noise ratio only depends on the number of transceivers in the time reversal mirror. This last property is characteristic of the time reversal of noise. Experimental results are obtained in a 5 X 3 X 3 m3 reverberation room. The working frequency range varies from 300 Hz to 2 kHz. The ability of the time reversal process to physically reconstruct the image of two noise sources is studied. To this end, care is given to the technique to separate two close random sources, and also to the influence of temperature fluctuations on the focusing quality.

[1]  A. Paul,et al.  Long-Range Correlations in the Diffuse Seismic Coda , 2003, Science.

[2]  B. A. van Tiggelen Green function retrieval and time reversal in a disordered world. , 2003 .

[3]  William S. Hodgkiss,et al.  An initial demonstration of underwater acoustic communication using time reversal , 2002 .

[4]  M. Fink,et al.  How to estimate the Green’s function of a heterogeneous medium between two passive sensors? Application to acoustic waves , 2003 .

[5]  Richard L. Weaver,et al.  Equipartition and mean-square responses in large undamped structures , 2001 .

[6]  Mathias Fink,et al.  One-channel time-reversal in chaotic cavities: Theoretical limits , 1999 .

[7]  Mickael Tanter,et al.  Sound focusing in rooms: the time-reversal approach. , 2003, The Journal of the Acoustical Society of America.

[8]  M. Fink,et al.  One-Channel Time Reversal of Elastic Waves in a Chaotic 2D-Silicon Cavity , 1997 .

[9]  R. Weaver,et al.  On the emergence of the Green's function in the correlations of a diffuse field: pulse-echo using thermal phonons. , 2001, Ultrasonics.

[10]  Hongkai Zhao,et al.  Super-resolution in time-reversal acoustics. , 2002, The Journal of the Acoustical Society of America.

[11]  Derode,et al.  Limits of time-reversal focusing through multiple scattering: long-range correlation , 2000, The Journal of the Acoustical Society of America.

[12]  J. D. Maynard,et al.  Nearfield acoustic holography: I. Theory of generalized holography and the development of NAH , 1985 .

[13]  M. Fink Time reversed acoustics , 1997 .

[14]  R. Weaver,et al.  Ultrasonics without a source: thermal fluctuation correlations at MHz frequencies. , 2001, Physical review letters.

[15]  Richard L. Weaver,et al.  Temperature dependence of diffuse field phase , 1999, Ultrasonics.