Volume 125, Number 3, February 2019
|Number of page(s)||7|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||08 March 2019|
An acoustic imaging method for layered non-reciprocal media
Department of Geoscience and Engineering, Delft University of Technology - Stevinweg 1, 2628 CN Delft, The Netherlands
Received: 3 October 2018
Accepted: 6 February 2019
Given the increasing interest for non-reciprocal materials, we propose a novel acoustic imaging method for layered non-reciprocal media. The method we propose is a modification of the Marchenko imaging method, which handles multiple scattering between the layer interfaces in a data-driven way. We start by reviewing the basic equations for wave propagation in a non-reciprocal medium. Next, we discuss Green's functions, focusing functions, and their mutual relations, for a non-reciprocal horizontally layered medium. These relations form the basis for deriving the modified Marchenko method, which retrieves the wave field inside the non-reciprocal medium from reflection measurements at the boundary of the medium. With a numerical example we show that the proposed method is capable of imaging the layer interfaces at their correct positions, without artefacts caused by multiple scattering.
PACS: 43.60.Pt – Signal processing techniques for acoustic inverse problems / 43.35.Gk – Phonons in crystal lattices, quantum acoustics / 43.60.Tj – Wave front reconstruction, acoustic time-reversal, and phase conjugation
© EPLA, 2019
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