On the emergence of the Green's function in the correlations of a diffuse field: pulse-echo using thermal phonons.

By Richard Weaver, O. Lobkis. Ultrasonics, 2001

1,115 citations recorded by the source corpus.

Subfields: Geophysics, Mechanics of Materials, Oceanography

View Paper: https://www.semanticscholar.org/paper/a1181ee10490d026d420fa4b75db5ed37bcb327a

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Citations in the corpus

Emergence of broadband Rayleigh waves from correlations of the ambient seismic noise (2004, positive): “…functions from the diffuse wavefield has been successfully applied in helioseismol-ogy [e.g., Duvall et al. , 1993; Kosovichev et al. , 2000; Rickett and Claerbaut , 2000], in ultrasonics [e.g., Weaver and Lobkis , 2001a, 2001b; Derode et al. , 2003], and in marine acoustics [ Roux et al. , 2003].”
Seismic tomography with the reversible jump algorithm (2009, background): “A simple demonstration of this property is based on a modal representation of a diffuse wavefield inside an elastic body (the Earth in our case) (Lobkis & Weaver 2001).”
Broadband ambient noise surface wave tomography across the United States (2008, methodology): “The feasibility of the method was first established by experimental [e.g., Weaver and Lobkis, 2001; Lobkis and Weaver, 2001; Derode et al., 2003; Larose et al., 2005] and theoretical [e.”
Impact detection in anisotropic materials using a time reversal approach (2012, methodology): “When an impact is applied on a generic point of the structure, the impulse response (Green’s function) can be retrieved from the correlation of the reverberant diffuse wave field at the sensor location [2, 6, 11, 23].”
Tomography of the Alpine region from observations of seismic ambient noise (2009, background): “(Weaver & Lobkis 2001; Lobkis & Weaver 2001; Colin de Verdière 2006a,b; Sánchez-Sesma et al. 2006a,b; Larose et al. 2006; Campillo 2006).”
Extraction of near-surface properties for a lossy layered medium using the propagator matrix (2007, background): “Seismic interferometry (Elgamal et al. 1995; Haddadi & Kawakami 1998a,b; Kawakami & Haddadi 1998; Lobkis & Weaver 2001; Derode et al. 2003; Kawakami & Oyunchimeg 2003; Schuster et al. 2004; Shapiro & Campillo 2004; Snieder 2004; Wapenaar 2004; Shapiro et al. 2005; Wapenaar et al. 2005; Snieder et…”
Improved ambient noise correlation functions using Welch's method (2012, background): “…over a period of time, the Green’s function or impulse response between the two stations can be extracted, assuming that the noise source distribution is spatially homogeneous around the stations (e.g. Lobkis & Weaver 2001; Derode et al. 2003; Shapiro & Campillo 2004; Snieder 2004; Wapenaar 2004).”
On establishing the accuracy of noise tomography travel‐time measurements in a realistic medium (2009, background): “In 2001, Lobkis & Weaver (2001) showed that the cross-correlation of signals from two receivers in a diffuse acoustic field yields the Green’s function between the two receivers.”