Accuracy of the deterministic travel time retrieval from cross-correlations of non-diffuse ambient noise.

Measurements of long-range cross-correlations of ambient noise underlie acoustic noise interferometry, a promising technique for passive remote sensing of the environment. Previously established simple, exact relations between deterministic Green's functions and the cross-correlation function of perfectly diffuse noise do not necessarily hold for noise fields in the ocean and atmosphere. Here, the method of a stationary phase is applied to study the information content of the cross-correlation function of non-diffuse noise and to quantify the accuracy of passive measurements of the acoustic travel times.

[1]  Roel Snieder,et al.  Extracting the Green's function of attenuating heterogeneous acoustic media from uncorrelated waves. , 2007, The Journal of the Acoustical Society of America.

[2]  Philippe Roux,et al.  Arrival-time structure of the time-averaged ambient noise cross-correlation function in an oceanic waveguide. , 2005, The Journal of the Acoustical Society of America.

[3]  Robert H. Mellen,et al.  The Thermal‐Noise Limit in the Detection of Underwater Acoustic Signals , 1952 .

[4]  K. Wapenaar.  Retrieving the elastodynamic Green's function of an arbitrary inhomogeneous medium by cross correlation. , 2004, Physical review letters.

[5]  Richard L. Weaver,et al.  Diffuse fields in open systems and the emergence of the Green’s function (L) , 2004 .

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

[7]  Mickael Tanter,et al.  Recovering the Green's function from field-field correlations in an open scattering medium. , 2003, The Journal of the Acoustical Society of America.

[8]  Francisco J. Sánchez-Sesma,et al.  Cross‐correlation of random fields: mathematical approach and applications , 2008 .

[9]  R. Weaver,et al.  Elastic wave thermal fluctuations, ultrasonic waveforms by correlation of thermal phonons. , 2003, The Journal of the Acoustical Society of America.

[10]  Peter Gerstoft,et al.  Ocean acoustic interferometry. , 2007, The Journal of the Acoustical Society of America.

[11]  Josselin Garnier,et al.  Passive Sensor Imaging Using Cross Correlations of Noisy Signals in a Scattering Medium , 2009, SIAM J. Imaging Sci..

[12]  R. Snieder.  Extracting the Green's function from the correlation of coda waves: a derivation based on stationary phase. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  O. Godin.  Retrieval of Green's functions of elastic waves from thermal fluctuations of fluid-solid systems. , 2009, The Journal of the Acoustical Society of America.

[14]  Oleg A Godin.  Recovering the acoustic Green's function from ambient noise cross correlation in an inhomogeneous moving medium. , 2006, Physical review letters.

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

[16]  R. Weaver,et al.  Diffuse fields in ultrasonics and seismology , 2006 .

[17]  Oleg A. Godin,et al.  Reciprocity and energy theorems for waves in a compressible inhomogeneous moving fluid , 1997 .