The effect of electro-momentum coupling on unidirectional zero reflection in layered generalized Willis Metamaterials

Authored by

Hai D. Huynh, S. S. Nanthakumar, Harold S. Park, Timon Rabczuk, Xiaoying Zhuang

Abstract

Piezoelectric materials with asymmetric microstructures have emerged in elastodynamics as generalized Willis media to create an additional cross-coupling, termed electro-momentum coupling, which offers a new degree of freedom to manipulate mechanical waves. In this study, we present numerical simulations of the scattering of longitudinal waves in layered piezoelectric Willis metamaterials. Based on the asymmetry of reflection amplitudes due to the electro-momentum coupling, a topology optimization approach is employed to design a one-way zero reflection system with the introduction of material loss to control the asymmetric reflection amplitudes and embrace non-Hermitian physics. We conduct two topology optimization studies to design unit cells connected either with or without external electric control. The modeling of wave propagation shows the effects of both classical Willis coupling and electro-momentum coupling for each wave propagation study.

Details

Organisation(s)
Institute of Photonics
External Organisation(s)
Boston University (BU)
Bauhaus-Universität Weimar
Tongji University
Type
Article
Journal
Extreme Mechanics Letters
Volume
77
No. of pages
11
Publication date
06.2025
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Bioengineering, Chemical Engineering (miscellaneous), Engineering (miscellaneous), Mechanics of Materials, Mechanical Engineering
Electronic version(s)
https://doi.org/10.1016/j.eml.2025.102318 (Access: Closed )
 

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