A Caltech Library Service

Surface wave non-reciprocity via time-modulated metamaterials

Palermo, A. and Celli, P. and Yousefzadeh, B. and Daraio, C. and Marzani, A. (2020) Surface wave non-reciprocity via time-modulated metamaterials. Journal of the Mechanics and Physics of Solids, 145 . Art. No. 104181. ISSN 0022-5096.

[img] PDF - Accepted Version
See Usage Policy.


Use this Persistent URL to link to this item:


We investigate how Rayleigh waves interact with time-modulated resonators located on the free surface of a semi-infinite elastic medium. We begin by studying the dynamics of a single resonator with time-modulated stiffness, we evaluate the accuracy of an analytical approximation of the resonator response and identify the parameter ranges in which its behavior remains stable. Then, we develop an analytical model to describe the interaction between surface waves and an array of resonators with spatio-temporally modulated stiffness. By combining our analytical models with full-scale numerical simulations, we demonstrate that spatio-temporal stiffness modulation of this elastic metasurface leads to the emergence of non-reciprocal features in the Rayleigh wave spectrum. Specifically, we show how the frequency content of a propagating signal can be filtered and converted when traveling through the modulated medium, and illustrate how surface-to-bulk wave conversion plays a role in these phenomena. Throughout this article, we indicate bounds of modulation parameters for which our theory is reliable, thus providing guidelines for future experimental studies on the topic.

Item Type:Article
Related URLs:
URLURL TypeDescription
Palermo, A.0000-0001-9431-0461
Celli, P.0000-0001-7839-7472
Daraio, C.0000-0001-5296-4440
Additional Information:© 2020 Elsevier Ltd. Received 10 August 2020, Revised 7 October 2020, Accepted 7 October 2020, Available online 10 October 2020. AP acknowledges the support of DICAM at the University of Bologna. PC acknowledges the support of the Research Foundation at Stony Brook University. CD acknowledges support from the National Science Foundation under EFRI Grant No. 1741565. The authors wish to thank Lorenz Affentranger and Yifan Wang for useful discussions. CRediT authorship contribution statement: A. Palermo: Conceptualization, Investigation, Formal analysis, Visualization, Writing - original draft. P. Celli: Conceptualization, Investigation, Formal analysis, Visualization, Writing - original draft. B. Yousefzadeh: Conceptualization, Formal analysis, Writing - review & editing. C. Daraio: Conceptualization, Writing - review & editing. A. Marzani: Formal analysis, Resources, Writing - review & editing. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Funding AgencyGrant Number
University of BolognaUNSPECIFIED
Stony Brook UniversityUNSPECIFIED
Subject Keywords:Non-reciprocity; Rayleigh waves; Metamaterials; Elastic metasurfaces; Spatio-temporal modulations
Record Number:CaltechAUTHORS:20201012-142057607
Persistent URL:
Official Citation:A. Palermo, P. Celli, B. Yousefzadeh, C. Daraio, A. Marzani, Surface wave non-reciprocity via time-modulated metamaterials, Journal of the Mechanics and Physics of Solids, Volume 145, 2020, 104181, ISSN 0022-5096, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105989
Deposited By: Tony Diaz
Deposited On:12 Oct 2020 21:43
Last Modified:20 Oct 2020 16:09

Repository Staff Only: item control page