Print Email Facebook Twitter A single-sided homogeneous Green's function representation for holographic imaging, inverse scattering, time-reversal acoustics and interferometric Green's function retrieval Title A single-sided homogeneous Green's function representation for holographic imaging, inverse scattering, time-reversal acoustics and interferometric Green's function retrieval Author Wapenaar, C.P.A. (TU Delft Applied Geophysics and Petrophysics) Thorbecke, J.W. (TU Delft Applied Geophysics and Petrophysics) van der Neut, J.R. (TU Delft Applied Geophysics and Petrophysics) Date 2016 Abstract Green's theorem plays a fundamental role in a diverse range of wavefield imaging applications, such as holographic imaging, inverse scattering, time-reversal acoustics and interferometric Green's function retrieval. In many of those applications, the homogeneous Green's function (i.e. the Green's function of the wave equation without a singularity on the right-hand side) is represented by a closed boundary integral. In practical applications, sources and/or receivers are usually present only on an open surface, which implies that a significant part of the closed boundary integral is by necessity ignored. Here we derive a homogeneous Green's function representation for the common situation that sources and/or receivers are present on an open surface only. We modify the integrand in such a way that it vanishes on the part of the boundary where no sources and receivers are present. As a consequence, the remaining integral along the open surface is an accurate single-sided representation of the homogeneous Green's function. This single-sided representation accounts for all orders of multiple scattering. The new representation significantly improves the aforementioned wavefield imaging applications, particularly in situations where the first-order scattering approximation breaks down. Subject Controlled source seismologyInterferometryWave scattering and diffraction To reference this document use: http://resolver.tudelft.nl/uuid:3b45c9ec-e3da-4997-8f92-e89271b442c9 DOI https://doi.org/10.1093/gji/ggw023 ISSN 0956-540X Source Geophysical Journal International, 205 (1), 531-535 Part of collection Institutional Repository Document type journal article Rights © 2016 C.P.A. Wapenaar, J.W. Thorbecke, J.R. van der Neut Files PDF ggw023.pdf 1.05 MB Close viewer /islandora/object/uuid:3b45c9ec-e3da-4997-8f92-e89271b442c9/datastream/OBJ/view