Focusing waves in an unknown medium without wavefield decomposition
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1,139 citations
"Focusing waves in an unknown medium..." refers methods in this paper
...…retrieves the Green’s function for t> 0 for the virtual source location xs. Unlike other (interferometric) Green’s function retrieval methods (Campillo and Paul, 2003; Duroux et al., 2010; Roux et al., 2004; Sabra et al., 2005; Schuster, 2009; Snieder and Larose, 2013; Wapenaar et al.,…...
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611 citations
"Focusing waves in an unknown medium..." refers methods in this paper
...…(Campillo and Paul, 2003; Duroux et al., 2010; Roux et al., 2004; Sabra et al., 2005; Schuster, 2009; Snieder and Larose, 2013; Wapenaar et al., 2005; Weaver and Lobkis, 2001), no physical receiver is required at the position of the virtual source, and unlike other Marchenko methods (Wapenaar et…...
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527 citations
"Focusing waves in an unknown medium..." refers methods in this paper
...…location xs. Unlike other (interferometric) Green’s function retrieval methods (Campillo and Paul, 2003; Duroux et al., 2010; Roux et al., 2004; Sabra et al., 2005; Schuster, 2009; Snieder and Larose, 2013; Wapenaar et al., 2005; Weaver and Lobkis, 2001), no physical receiver is required at…...
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283 citations
"Focusing waves in an unknown medium..." refers methods in this paper
...…0 for the virtual source location xs. Unlike other (interferometric) Green’s function retrieval methods (Campillo and Paul, 2003; Duroux et al., 2010; Roux et al., 2004; Sabra et al., 2005; Schuster, 2009; Snieder and Larose, 2013; Wapenaar et al., 2005; Weaver and Lobkis, 2001), no physical…...
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188 citations
"Focusing waves in an unknown medium..." refers methods in this paper
...Burridge (1980) shows that the Gel’fand-Levitan equation and the Gopinath-Sondhi equation have the same structure as the Marchenko equation, and shows that the Marchenko equation can be used for medium reconstruction (Burridge, 1980; Newton, 1980a)....
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...(3), we obtain Kðn̂; tÞ þ þ Aðn̂; n̂0; t þ tdðn̂0ÞÞdn0 þ þ ðt d t d Aðn̂; n̂0; t sÞKðn̂0; sÞ dsdn0 ¼ 0: (6) Burridge (1980) shows that the 1D Marchenko equation, Gel’fand-Levitan equation, and the Gopinath-Sondhi equations of inverse scattering can be written in symbolic notation as K þ Rþ Ð WRK ¼…...
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...(6) has the same structure as the equations derived by Burridge (1980) and, therefore, gives a 2D Marchenko equation without using up/down decomposition....
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