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

Wapenaar, C.P.A.; Slob, E.C.

doi:10.3390/sym14112236

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

Title

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

Author

Wapenaar, C.P.A. (TU Delft Applied Geophysics and Petrophysics)
Slob, E.C. (TU Delft Applied Geophysics and Petrophysics)

Date

2022

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.

Subject

parity-time symmetry
metamaterials
Green’s matrix
reciprocity

To reference this document use:

http://resolver.tudelft.nl/uuid:0f65d03c-5d17-4720-b4fd-0e2adf070e7c

DOI

https://doi.org/10.3390/sym14112236

ISSN

2073-8994

Source

Symmetry, 14 (11)

Part of collection

Institutional Repository