title: Three-dimensional single-sided Marchenko inverse scattering, data-driven focusing, Green's function retrieval, and their mutual relations.
abstract: The one-dimensional Marchenko equation forms the basis for inverse scattering problems in which the scattering object is accessible from one side only. Here we derive a three-dimensional (3D) Marchenko equation which relates the single-sided reflection response of a 3D inhomogeneous medium to a field inside the medium. We show that this equation is solved by a 3D iterative data-driven focusing method, which yields the 3D Green's function with its virtual source inside the medium. The 3D single-sided Marchenko equation and its iterative solution method form the basis for imaging of 3D strongly scattering inhomogeneous media that are accessible from one side only.
authors.affiliation: Department of Geoscience and Engineering, Delft University of Technology, 2600 GA Delft, The Netherlands. c.p.a.wapenaar@tudelft.nl
authors.forename: Kees
authors.initials: K
authors.lastname: Wapenaar
authors.forename: Filippo
authors.initials: F
authors.lastname: Broggini
authors.forename: Evert
authors.initials: E
authors.lastname: Slob
authors.forename: Roel
authors.initials: R
authors.lastname: Snieder