Exceptional points and scattering of discrete mechanical metamaterials

Weidi Wang; Alireza V. Amirkhizi

doi:10.1117/12.2612408

18 April 2022 Exceptional points and scattering of discrete mechanical metamaterials

Weidi Wang, Alireza V. Amirkhizi

Proceedings Volume PC12048, Health Monitoring of Structural and Biological Systems XVI; PC120480K (2022) https://doi.org/10.1117/12.2612408
Event: SPIE Smart Structures + Nondestructive Evaluation, 2022, Long Beach, California, United States

Abstract

An exceptional point (EP) is a branch singularity where eigen-modes coalesce. Using a discrete metamaterial model, this work studies the eigenfrequency band structure and the scattering response in the vicinity of an EP. Specific phenomena associated with EPs in the eigenfrequency band structure, including level repulsion, mode switching, and self-orthogonality are presented. The effects of reciprocity and fundamental symmetries are addressed in the 1D scattering analysis. By enabling complex stiffness in frequency domain, a MM specimen may be tuned to become completely undetectable from both directions at the EP frequency, thus having potential for novel wave filtering and cloaking applications.

Conference Presentation

Citation Download Citation

Weidi Wang and Alireza V. Amirkhizi "Exceptional points and scattering of discrete mechanical metamaterials", Proc. SPIE PC12048, Health Monitoring of Structural and Biological Systems XVI, PC120480K (18 April 2022); https://doi.org/10.1117/12.2612408

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