Drawing Dispersion Curves: Band Structure Customization via Nonlocal Phononic Crystals

Arash Kazemi, Kshiteej J. Deshmukh, Fei Chen, Yunya Liu, Bolei Deng, Henry Chien Fu, and Pai Wang

Phys. Rev. Lett. 131, 176101 – Published 26 October 2023

Abstract

Dispersion relations govern wave behaviors, and tailoring them is a grand challenge in wave manipulation. We demonstrate the inverse design of phononic dispersion using nonlocal interactions on one-dimensional spring-mass chains. For both single-band and double-band cases, we can achieve any valid dispersion curves with analytical precision. We further employ our method to design phononic crystals with multiple ordinary (roton or maxon) and higher-order (undulation) critical points and investigate their wave packet dynamics.

Received 1 February 2023
Accepted 13 September 2023

DOI:https://doi.org/10.1103/PhysRevLett.131.176101

Physics Subject Headings (PhySH)

Acoustic phonons Elastic waves Lattice dynamics Long-range interactions Optical phonons Phononic crystals Phonons Quasiparticles & collective excitations

Acoustic metamaterials

Bloch wave theory

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Arash Kazemi ^1,*, Kshiteej J. Deshmukh ^2,*, Fei Chen ^1,*, Yunya Liu¹, Bolei Deng^3,4, Henry Chien Fu ^1,†, and Pai Wang ^1,‡

¹Department of Mechanical Engineering, University of Utah, Salt Lake City, Utah 84112, USA
²Department of Mathematics, University of Utah, Salt Lake City, Utah 84112, USA
³Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
⁴Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

^*These authors contributed equally to this work.
^†Corresponding author: henry.fu@utah.edu
^‡Corresponding author: pai.wang@utah.edu

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Issue

Vol. 131, Iss. 17 — 27 October 2023

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