Whispering-Bloch elastic circuits
File(s)
Accepted version
Author(s)
Putley, HJ
Chaplain, GJ
Rakotoarimanga-Andrianjaka, H
Maling, B
Craster, RV
Type
Journal Article
Abstract
We investigate structured arrays and rings in elasticity to design elastic platonic circuits
that utilise resonant phenomena. Creating ring resonators, and understanding their
coupling to input and output arrays, allows for the development of platonic circuits
including add–drop filters (ADFs) and coupled resonator elastic arrays (CREAs), and
hence we envisage integrated platonic devices. Structured rings of point-masses placed
atop a thin elastic plate lead to highly confined quasi-modes that leak energy; the
leakage being quantified by the limiting quality factor Q. The conditions of resonance
are deduced using highly accurate numerical simulations based on a Green’s function
approach to solve the dispersion relation associated with the structured ring resonators.
The sharp resonances that emerge are then used to filter and direct wave energy based
on input frequency, and this is illustrated through analogy with devices used in optics,
e.g. integrated photonic circuits. The potential applications of the elastic devices include
elastic delay lines and passive energy harvesters.
that utilise resonant phenomena. Creating ring resonators, and understanding their
coupling to input and output arrays, allows for the development of platonic circuits
including add–drop filters (ADFs) and coupled resonator elastic arrays (CREAs), and
hence we envisage integrated platonic devices. Structured rings of point-masses placed
atop a thin elastic plate lead to highly confined quasi-modes that leak energy; the
leakage being quantified by the limiting quality factor Q. The conditions of resonance
are deduced using highly accurate numerical simulations based on a Green’s function
approach to solve the dispersion relation associated with the structured ring resonators.
The sharp resonances that emerge are then used to filter and direct wave energy based
on input frequency, and this is illustrated through analogy with devices used in optics,
e.g. integrated photonic circuits. The potential applications of the elastic devices include
elastic delay lines and passive energy harvesters.
Date Issued
2021-09-01
Date Acceptance
2021-05-12
Citation
Wave Motion, 2021, 105, pp.1-19
ISSN
0165-2125
Publisher
Elsevier BV
Start Page
1
End Page
19
Journal / Book Title
Wave Motion
Volume
105
Copyright Statement
© 2021 Elsevier B.V. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/
Sponsor
Engineering and Physical Sciences Research Council
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Identifier
https://www.sciencedirect.com/science/article/pii/S0165212521000536?via%3Dihub
Grant Number
EP/L016230/1
EP/L024926/1
DPF2020-P88584-Chaplian
Subjects
0102 Applied Mathematics
0203 Classical Physics
Applied Mathematics
Publication Status
Published
Article Number
ARTN 102755
Date Publish Online
2021-05-24