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Ocean acoustic interferometry Laura A Brooksa and Peter Gerstoft Marine Physical Laboratory Scripps Institution of Oceanography La Jolla California 92093 Received 12 January 2007 revised 13 March 2007 accepted 16 March 2007 Ocean acoustic interferometry refers to an approach whereby signals recorded from a line of sources are used to infer the Green s function between two receivers An approximation of the time domain Green s function is obtained by summing over all source positions stacking the cross correlations between the receivers Within this paper a stationary phase argument is used to describe the relationship between the stacked cross correlations from a line of vertical sources located in the same vertical plane as two receivers and the Green s function between the receivers Theory and simulations demonstrate the approach and are in agreement with those of a modal based approach presented by others Results indicate that the stacked cross correlations can be directly related to the shaded Green s function so long as the modal continuum of any sediment layers is negligible 2007 Acoustical Society of America DOI 10 1121 1 2723650 PACS number s 43 30 Yj 43 30 Gv 43 60 Ac AIT I INTRODUCTION Approximation of the Green s function between two points in both open and closed environments has been a subject of interest over the last few years Lobkis and Weaver1 showed both theoretically and experimentally that the Green s function between two points can be determined from their temporal cross correlation within a diffuse ultrasonic field This concept was extended by Derode et al 2 who showed that the Green s function can be conditionally recovered in an open scattering medium They concluded that although the Green s function can be determined from crosscorrelations from a single source within a lossless closed cavity in which it is assumed that the eigenmodes do not degenerate the Green s function will only emerge from cross correlations within an open scattering



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