Designing perturbative metamaterials from discrete models
Open accessAbstract
Identifying material geometries that lead to metamaterials with desired functionalities presents a challenge for the field. Discrete, or reduced-order, models provide a concise description of complex phenomena, such as negative refraction, or topological surface states; therefore, the combination of geometric building blocks to replicate discrete models presenting the desired features represents a promising approach. However, there is no reliable way to solve such an inverse problem. Here, we introduce 'perturbative metamaterials', a class of metamaterials consisting of weakly interacting unit cells. The weak interaction allows us to associate each element of the discrete model with individual geometric features of the metamaterial, thereby enabling a systematic design process. We demonstrate our approach by designing two-dimensional elastic metamaterials that realize Veselago lenses, zero-dispersion bands and topological surface phonons. While our selected examples are within the mechanical domain, the same design principle can be applied to acoustic, thermal and photonic metamaterials composed of weakly interacting unit cells.
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The weak interaction allows us to approximate the effect of different geometric elements by adding up individual contributions, resulting in a drastic speedup of the calculation times.
“Second, the weak interaction allows us to approximate the effect of different geometric elements by adding up individual contributions (See Ref. 28 for details), resulting in a drastic speedup of the calculation times.”
From Observation of a phononic quadrupole topological insulator (2018) · cites this paper as [28]
The paper leveraged perturbative metamaterials to find a first implementation of a quantized quadrupole insulator.
“we leveraged this technique to find a first implementation of a quantized quadrupole insulator, a new class of topological materials.”
From Observation of a phononic quadrupole topological insulator (2018) · cites this paper as [28]
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Research works printed but not linked: 1
- [7]7. Bückmann, T., Thiel, M., Kadic, M., Schittny, R. & Wegener, M. An elastomechanical unfeelability cloak made of pentamode metamaterials. Nat. Commun. 5, 4130 (2014).
Cited by
Sorted by citations
Observation of a phononic quadrupole topological insulator
Serra-Garcia, M., Peri, V., Süsstrunk, R., Bilal, O. R., Larsen, T., Villanueva, L. G., & Huber, S. D. (2018) · Nature · doi:10.1038/nature25156 · Cited by 982 · see citing works
Self-citation
- Authors
- Matlack, K. H., Serra-Garcia, M., Palermo, A., Huber, S. D., & Daraio, C.
- Affiliations
- ETH Zurich (CH)
- University of Bologna (IT)
- California Institute of Technology (US)
- Venue
- Nature Materials
- Published
- 2018-01-15
- Volume
- 17
- Issue
- 4
- Pages
- 323-328
- ISSN
- 1476-1122 (ISSN-L)
- 1476-4660
- OpenAlex
- W2784238146
- Cited by
- 204
- References
- 60
- Citations by year
- 2026: 12 · 2025: 22 · 2024: 16 · 2023: 40 · 2022: 24 · 2021: 27 · 2020: 25 · 2019: 29 · 2018: 9
- FWCI
- 8.99
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nature Materials (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Engineering › Biomedical Engineering › Acoustic Wave Phenomena Research
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
- Physical Sciences › Engineering › Mechanical Engineering › Advanced Materials and Mechanics
- Keywords
- discrete models, model reduction, inverse design, elastic metamaterials, negative refraction, mechanical metamaterials, metamaterial design
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