A modified Marchenko method to retrieve the wave field inside a layered metamaterial from reflection measurements at the surface

TL;DR

This paper extends the Marchenko method to retrieve wave fields inside layered metamaterials with negative parameters from surface reflection data, enabling improved non-destructive testing.

Contribution

It introduces a modified Marchenko approach tailored for metamaterials with negative effective parameters, expanding its applicability beyond natural materials.

Findings

Method accurately retrieves wave fields for vertically propagating waves.

Effective for dipping plane waves with small horizontal slownesses.

Potential applications in non-destructive testing of layered materials.

Abstract

With the Marchenko method it is possible to retrieve the wave field inside a medium from its reflection response at the surface. To date, this method has predominantly been applied to naturally occurring materials. In this paper we extend the Marchenko method for applications in metamaterials with, in the low-frequency limit, effective negative constitutive parameters. We illustrate the method with a numerical example, which shows that the method works well for vertically propagating plane waves and for dipping plane waves with small horizontal slownesses. The proposed method has potential applications for example in non-destructive testing of layered materials.