Dispersion relations govern wave behaviors, and tailoring them is a grand challenge in wave manipulation. We demonstrate inverse design of phononic dispersion using non-local 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/maxon) and higher-order (undulation) critical points and investigate their wave packet dynamics.
@article{arxiv.2302.00591,
title = {Non-Local Phononic Crystals for Dispersion Customization and Undulation-point Dynamics},
author = {Arash Kazemi and Kshiteej J. Deshmukh and Fei Chen and Yunya Liu and Bolei Deng and Henry Chien Fu and Pai Wang},
journal= {arXiv preprint arXiv:2302.00591},
year = {2023}
}