Green’s Function Retrieval and Marchenko Imaging in a Dissipative Acoustic Medium

Evert Slob
Phys. Rev. Lett. 116, 164301 – Published 22 April 2016

Abstract

Single-sided Marchenko equations for Green’s function construction and imaging relate the measured reflection response of a lossless heterogeneous medium to an acoustic wave field inside this medium. I derive two sets of single-sided Marchenko equations for the same purpose, each in a heterogeneous medium, with one medium being dissipative and the other a corresponding medium with negative dissipation. Double-sided scattering data of the dissipative medium are required as input to compute the surface reflection response in the corresponding medium with negative dissipation. I show that each set of single-sided Marchenko equations leads to Green’s functions with a virtual receiver inside the medium: one exists inside the dissipative medium and one in the medium with negative dissipation. This forms the basis of imaging inside a dissipative heterogeneous medium. I relate the Green’s functions to the reflection response inside each medium, from which the image can be constructed. I illustrate the method with a one-dimensional example that shows the image quality. The method has a potentially wide range of imaging applications where the material under test is accessible from two sides.

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  • Received 5 August 2015

DOI:https://doi.org/10.1103/PhysRevLett.116.164301

© 2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
General Physics

Authors & Affiliations

Evert Slob*

  • Delft University of Technology, 2628 CN Delft, The Netherlands

  • *e.c.slob@tudelft.nl

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Issue

Vol. 116, Iss. 16 — 22 April 2016

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