Unified wave field retrieval and imaging method for inhomogeneous non-reciprocal media

Kees Wapenaar, Christian Reinicke Urruticoechea

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)
16 Downloads (Pure)

Abstract

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.

Original languageEnglish
Pages (from-to)810-825
Number of pages16
JournalJournal of the Acoustical Society of America
Volume146
Issue number1
DOIs
Publication statusPublished - 2019

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