Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Reciprocity and Representations for Wave Fields in 3D Inhomogeneous Parity-Time Symmetric Materials

Version 1 : Received: 27 September 2022 / Approved: 28 September 2022 / Online: 28 September 2022 (13:27:56 CEST)

A peer-reviewed article of this Preprint also exists.

Wapenaar, K.; Slob, E. Reciprocity and Representations for Wave Fields in 3D Inhomogeneous Parity-Time Symmetric Materials. Symmetry 2022, 14, 2236. Wapenaar, K.; Slob, E. Reciprocity and Representations for Wave Fields in 3D Inhomogeneous Parity-Time Symmetric Materials. Symmetry 2022, 14, 2236.

Abstract

Inspired by recent developments in wave propagation and scattering experiments with parity-time (PT) symmetric materials, we discuss reciprocity and representation theorems for 3D inhomogeneous PT-symmetric materials and indicate some applications. We start with a unified matrix-vector wave equation which accounts for acoustic, quantum-mechanical, electromagnetic, elastodynamic, poroelastodynamic, piezoelectric and seismoelectric waves. Based on the symmetry properties of the operator matrix in this equation, we derive unified reciprocity theorems for wave fields in 3D arbitrary inhomogeneous media and 3D inhomogeneous media with PT-symmetry. These theorems form the basis for deriving unified wave field representations and relations between reflection and transmission responses in such media. Among the potential applications are interferometric Green’s matrix retrieval and Marchenko-type Green’s matrix retrieval in PT-symmetric materials.

Keywords

parity-time symmetry; reciprocity; Green’s matrix; metamaterials

Subject

Physical Sciences, Applied Physics

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