Acoustic imaging methods often ignore multiple scattering. This leads to false images in cases where multiple scattering is strong. Marchenko imaging has recently been introduced as a data-driven way to deal with internal multiple scattering. Given the increasing interest in non-reciprocal materials, both for acoustic and electromagnetic applications, a modification to the Marchenko method is proposed for imaging such materials. A unified wave equation is formulated for non-reciprocal materials, exploiting the similarity between acoustic and electromagnetic wave phenomena. This unified wave equation forms the basis for deriving reciprocity theorems that interrelate wave fields in a non-reciprocal medium and its complementary version. Next, these theorems are reformulated for downgoing and upgoing wave fields. From these decomposed reciprocity theorems, representations of the Green's function inside the non-reciprocal medium are derived in terms of the reflection response at the surface and focusing functions inside the medium and its complementary version. These representations form the basis for deriving a modified version of the Marchenko method to retrieve the wave field inside a non-reciprocal medium and to form an image, free from artefacts related to multiple scattering. The proposed method is illustrated at the hand of the numerically modeled reflection response of a horizontally layered medium.
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July 2019
July 31 2019
Unified wave field retrieval and imaging method for inhomogeneous non-reciprocal media Available to Purchase
Special Collection:
Non-reciprocal and Topological Wave Phenomena in Acoustics
Kees Wapenaar;
Kees Wapenaar
a)
Department of Geoscience and Engineering, Delft University of Technology
, Stevinweg 1, 2628 CN Delft, The Netherlands
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Christian Reinicke
Christian Reinicke
Department of Geoscience and Engineering, Delft University of Technology
, Stevinweg 1, 2628 CN Delft, The Netherlands
Search for other works by this author on:
Kees Wapenaar
a)
Department of Geoscience and Engineering, Delft University of Technology
, Stevinweg 1, 2628 CN Delft, The Netherlands
Christian Reinicke
Department of Geoscience and Engineering, Delft University of Technology
, Stevinweg 1, 2628 CN Delft, The Netherlands
a)
Electronic mail: [email protected]
J. Acoust. Soc. Am. 146, 810–825 (2019)
Article history
Received:
September 28 2018
Accepted:
March 04 2019
Citation
Kees Wapenaar, Christian Reinicke; Unified wave field retrieval and imaging method for inhomogeneous non-reciprocal media. J. Acoust. Soc. Am. 1 July 2019; 146 (1): 810–825. https://doi.org/10.1121/1.5114912
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