Whispering-Bloch elastic circuits
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 c...
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| Published in: | Wave motion Vol. 105; p. 102755 |
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| Main Authors: | , , , , |
| Format: | Journal Article |
| Language: | English |
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01-09-2021
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| 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.
•Periodic structuration of point-masses upon a Kirchhoff–Love plate.•Ring resonators in elasticity exhibit whispering-Bloch resonances.•Elastic ring resonators of exponentially large quality-factor.•Coupled line and ring arrays for manipulation of flexural wave motion.•Elastic Add/Drop Filter provides narrow-band flexural wave filtering. |
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| AbstractList | 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 D. 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. 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. •Periodic structuration of point-masses upon a Kirchhoff–Love plate.•Ring resonators in elasticity exhibit whispering-Bloch resonances.•Elastic ring resonators of exponentially large quality-factor.•Coupled line and ring arrays for manipulation of flexural wave motion.•Elastic Add/Drop Filter provides narrow-band flexural wave filtering. |
| ArticleNumber | 102755 |
| Author | Rakotoarimanga-Andrianjaka, H. Craster, R.V. Chaplain, G.J. Maling, B. Putley, H.J. |
| Author_xml | – sequence: 1 givenname: H.J. surname: Putley fullname: Putley, H.J. email: h.putley18@imperial.ac.uk – sequence: 2 givenname: G.J. orcidid: 0000-0001-9868-8453 surname: Chaplain fullname: Chaplain, G.J. – sequence: 3 givenname: H. surname: Rakotoarimanga-Andrianjaka fullname: Rakotoarimanga-Andrianjaka, H. – sequence: 4 givenname: B. surname: Maling fullname: Maling, B. – sequence: 5 givenname: R.V. orcidid: 0000-0001-9799-9639 surname: Craster fullname: Craster, R.V. |
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| CitedBy_id | crossref_primary_10_1103_PhysRevResearch_5_013131 crossref_primary_10_1038_s42005_024_01615_8 |
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| Keywords | Platonic Ring resonator Rayleigh–Bloch mode Whispering gallery Metamaterial Whispering-Bloch mode |
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| Snippet | We investigate structured arrays and rings in elasticity to design elastic platonic circuits that utilise resonant phenomena. Creating ring resonators, and... |
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| SubjectTerms | Arrays Circuit design Circuits Delay lines Elastic plates Elasticity Energy harvesting Green's functions Leakage Materials elasticity Metamaterial Platonic Q factors Rayleigh–Bloch mode Resonators Ring resonator Simulation Studies Wave power Whispering gallery Whispering-Bloch mode |
| Title | Whispering-Bloch elastic circuits |
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