Neuron‐Inspired Steiner Tree Networks for 3D Low‐Density Metastructures
Abstract Three‐dimensional (3D) micro‐and nanostructures have played an important role in topological photonics, microfluidics, acoustic, and mechanical engineering. Incorporating biomimetic geometries into the design of metastructures has created low‐density metamaterials with extraordinary physica...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-10-01
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| Series: | Advanced Science |
| Subjects: | |
| Online Access: | https://doi.org/10.1002/advs.202100141 |
| _version_ | 1818567011462021120 |
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| author | Haoyi Yu Qiming Zhang Benjamin P. Cumming Elena Goi Jared H. Cole Haitao Luan Xi Chen Min Gu |
| author_facet | Haoyi Yu Qiming Zhang Benjamin P. Cumming Elena Goi Jared H. Cole Haitao Luan Xi Chen Min Gu |
| author_sort | Haoyi Yu |
| collection | DOAJ |
| description | Abstract Three‐dimensional (3D) micro‐and nanostructures have played an important role in topological photonics, microfluidics, acoustic, and mechanical engineering. Incorporating biomimetic geometries into the design of metastructures has created low‐density metamaterials with extraordinary physical and photonic properties. However, the use of surface‐based biomimetic geometries restricts the freedom to tune the relative density, mechanical strength, and topological phase. The Steiner tree method inspired by the feature of the shortest connection distance in biological neural networks is applied, to create 3D metastructures and, through two‐photon nanolithography, neuron‐inspired 3D structures with nanoscale features are successfully achieved. Two solutions are presented to the 3D Steiner tree problem: the Steiner tree networks (STNs) and the twisted Steiner tree networks (T‐STNs). STNs and T‐STNs possess a lower density than surface‐based metamaterials and that T‐STNs have Young's modulus enhanced by 20% than the STNs. Through the analysis of the space groups and symmetries, a topological nontrivial Dirac‐like conical dispersion in the T‐STNs is predicted, and the results are based on calculations with true predictive power and readily realizable from microwave to optical frequencies. The neuron‐inspired 3D metastructures opens a new space for designing low‐density metamaterials and topological photonics with extraordinary properties triggered by a twisting degree‐of‐freedom. |
| first_indexed | 2024-12-14T06:17:58Z |
| format | Article |
| id | doaj.art-0f9eefbe2b1d490db36e860db5f3bf91 |
| institution | Directory Open Access Journal |
| issn | 2198-3844 |
| language | English |
| last_indexed | 2024-12-14T06:17:58Z |
| publishDate | 2021-10-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advanced Science |
| spelling | doaj.art-0f9eefbe2b1d490db36e860db5f3bf912022-12-21T23:13:58ZengWileyAdvanced Science2198-38442021-10-01819n/an/a10.1002/advs.202100141Neuron‐Inspired Steiner Tree Networks for 3D Low‐Density MetastructuresHaoyi Yu0Qiming Zhang1Benjamin P. Cumming2Elena Goi3Jared H. Cole4Haitao Luan5Xi Chen6Min Gu7Institute of Photonic Chips University of Shanghai for Science and Technology Shanghai 200093 ChinaInstitute of Photonic Chips University of Shanghai for Science and Technology Shanghai 200093 ChinaLaboratory of Artificial‐Intelligence Nanophotonics School of Science RMIT University Melbourne VIC 3001 AustraliaInstitute of Photonic Chips University of Shanghai for Science and Technology Shanghai 200093 ChinaChemical and Quantum Physics School of Science RMIT University Melbourne VIC 3001 AustraliaInstitute of Photonic Chips University of Shanghai for Science and Technology Shanghai 200093 ChinaInstitute of Photonic Chips University of Shanghai for Science and Technology Shanghai 200093 ChinaInstitute of Photonic Chips University of Shanghai for Science and Technology Shanghai 200093 ChinaAbstract Three‐dimensional (3D) micro‐and nanostructures have played an important role in topological photonics, microfluidics, acoustic, and mechanical engineering. Incorporating biomimetic geometries into the design of metastructures has created low‐density metamaterials with extraordinary physical and photonic properties. However, the use of surface‐based biomimetic geometries restricts the freedom to tune the relative density, mechanical strength, and topological phase. The Steiner tree method inspired by the feature of the shortest connection distance in biological neural networks is applied, to create 3D metastructures and, through two‐photon nanolithography, neuron‐inspired 3D structures with nanoscale features are successfully achieved. Two solutions are presented to the 3D Steiner tree problem: the Steiner tree networks (STNs) and the twisted Steiner tree networks (T‐STNs). STNs and T‐STNs possess a lower density than surface‐based metamaterials and that T‐STNs have Young's modulus enhanced by 20% than the STNs. Through the analysis of the space groups and symmetries, a topological nontrivial Dirac‐like conical dispersion in the T‐STNs is predicted, and the results are based on calculations with true predictive power and readily realizable from microwave to optical frequencies. The neuron‐inspired 3D metastructures opens a new space for designing low‐density metamaterials and topological photonics with extraordinary properties triggered by a twisting degree‐of‐freedom.https://doi.org/10.1002/advs.202100141biomimeticlow‐density metamaterialspath optimizationSteiner tree problem3D two‐photon nanolithographytopological photonics |
| spellingShingle | Haoyi Yu Qiming Zhang Benjamin P. Cumming Elena Goi Jared H. Cole Haitao Luan Xi Chen Min Gu Neuron‐Inspired Steiner Tree Networks for 3D Low‐Density Metastructures Advanced Science biomimetic low‐density metamaterials path optimization Steiner tree problem 3D two‐photon nanolithography topological photonics |
| title | Neuron‐Inspired Steiner Tree Networks for 3D Low‐Density Metastructures |
| title_full | Neuron‐Inspired Steiner Tree Networks for 3D Low‐Density Metastructures |
| title_fullStr | Neuron‐Inspired Steiner Tree Networks for 3D Low‐Density Metastructures |
| title_full_unstemmed | Neuron‐Inspired Steiner Tree Networks for 3D Low‐Density Metastructures |
| title_short | Neuron‐Inspired Steiner Tree Networks for 3D Low‐Density Metastructures |
| title_sort | neuron inspired steiner tree networks for 3d low density metastructures |
| topic | biomimetic low‐density metamaterials path optimization Steiner tree problem 3D two‐photon nanolithography topological photonics |
| url | https://doi.org/10.1002/advs.202100141 |
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