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Ambient noise cross correlation in free space: Theoretical approach

Author(s): Philippe Roux , Karim G. Sabra , W. A. Kuperman , Andre Roux

Publication date Created: January 2005

Publication date (Print): January 2005

Journal: The Journal of the Acoustical Society of America

Publisher: Acoustical Society of America (ASA)

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Abstract

It has been experimentally demonstrated that the Green's function between two points could be recovered using the cross-correlation function of the ambient noise measured at these two points. This paper investigates the theory behind this result in the simple case of a homogeneous medium with attenuation.

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Most cited references 8

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Long-range correlations in the diffuse seismic coda.

Michel Campillo, Peta-Anne Paul-Brent (2003)

The late seismic coda may contain coherent information about the elastic response of Earth. We computed the correlations of the seismic codas of 101 distant earthquakes recorded at stations that were tens of kilometers apart. By stacking cross-correlation functions of codas, we found a low-frequency coherent part in the diffuse field. The extracted pulses have the polarization characteristics and group velocities expected for Rayleigh and Love waves. The set of cross-correlations has the symmetries of the surface-wave part of the Green tensor. This seismological example shows that diffuse waves produced by distant sources are sufficient to retrieve direct waves between two perfectly located points of observation. Because it relies on general properties of diffuse waves, this result has potential applications in other fields.

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Extracting the Green’s function from the correlation of coda waves: A derivation based on stationary phase

Roel Snieder (2004)

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On the emergence of the Green’s function in the correlations of a diffuse field

Oleg Lobkis, Richard L. Weaver (2001)

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Author and article information

Journal

Title: The Journal of the Acoustical Society of America

Abbreviated Title: The Journal of the Acoustical Society of America

Publisher: Acoustical Society of America (ASA)

ISSN (Print): 0001-4966

Publication date Created: January 2005

Publication date (Print): January 2005

Volume: 117

Issue: 1

Pages: 79-84

Article

DOI: 10.1121/1.1830673

PubMed ID: 15704400

SO-VID: 45461220-f644-43f7-8f2e-278567d9de25

Copyright © © 2005

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