Edge Waves and Localization in Lattices Containing Tilted Resonators
The paper presents the study of waves in a structured geometrically chiral solid. A special attention is given to the analysis of the Bloch-Floquet waves in a doubly periodic high-contrast lattice containing tilted resonators. Dirac-like dispersion of Bloch waves in the structure is identified, stud...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2017-06-01
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| Series: | Frontiers in Materials |
| Subjects: | |
| Online Access: | http://journal.frontiersin.org/article/10.3389/fmats.2017.00016/full |
| _version_ | 1828199798997516288 |
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| author | Domenico Tallarico Domenico Tallarico Alessio Trevisan Natalia V. Movchan Alexander B. Movchan |
| author_facet | Domenico Tallarico Domenico Tallarico Alessio Trevisan Natalia V. Movchan Alexander B. Movchan |
| author_sort | Domenico Tallarico |
| collection | DOAJ |
| description | The paper presents the study of waves in a structured geometrically chiral solid. A special attention is given to the analysis of the Bloch-Floquet waves in a doubly periodic high-contrast lattice containing tilted resonators. Dirac-like dispersion of Bloch waves in the structure is identified, studied, and applied to wave-guiding and wave-defect interaction problems. The work is extended to the transmission problems and models of fracture, where localization and edge waves occur. The theoretical derivations are accompanied with numerical simulations and illustrations. |
| first_indexed | 2024-04-12T11:01:26Z |
| format | Article |
| id | doaj.art-a96d17719c6e4cb3b0bd7d4097a89908 |
| institution | Directory Open Access Journal |
| issn | 2296-8016 |
| language | English |
| last_indexed | 2024-04-12T11:01:26Z |
| publishDate | 2017-06-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Materials |
| spelling | doaj.art-a96d17719c6e4cb3b0bd7d4097a899082022-12-22T03:35:56ZengFrontiers Media S.A.Frontiers in Materials2296-80162017-06-01410.3389/fmats.2017.00016270646Edge Waves and Localization in Lattices Containing Tilted ResonatorsDomenico Tallarico0Domenico Tallarico1Alessio Trevisan2Natalia V. Movchan3Alexander B. Movchan4Department of Mathematical Sciences, University of Liverpool, Liverpool, United KingdomEnginSoft SPA, Padova, ItalyEnginSoft SPA, Padova, ItalyDepartment of Mathematical Sciences, University of Liverpool, Liverpool, United KingdomDepartment of Mathematical Sciences, University of Liverpool, Liverpool, United KingdomThe paper presents the study of waves in a structured geometrically chiral solid. A special attention is given to the analysis of the Bloch-Floquet waves in a doubly periodic high-contrast lattice containing tilted resonators. Dirac-like dispersion of Bloch waves in the structure is identified, studied, and applied to wave-guiding and wave-defect interaction problems. The work is extended to the transmission problems and models of fracture, where localization and edge waves occur. The theoretical derivations are accompanied with numerical simulations and illustrations.http://journal.frontiersin.org/article/10.3389/fmats.2017.00016/fullelasticitylatticesmetamaterialsDirac-like conesedge waves |
| spellingShingle | Domenico Tallarico Domenico Tallarico Alessio Trevisan Natalia V. Movchan Alexander B. Movchan Edge Waves and Localization in Lattices Containing Tilted Resonators Frontiers in Materials elasticity lattices metamaterials Dirac-like cones edge waves |
| title | Edge Waves and Localization in Lattices Containing Tilted Resonators |
| title_full | Edge Waves and Localization in Lattices Containing Tilted Resonators |
| title_fullStr | Edge Waves and Localization in Lattices Containing Tilted Resonators |
| title_full_unstemmed | Edge Waves and Localization in Lattices Containing Tilted Resonators |
| title_short | Edge Waves and Localization in Lattices Containing Tilted Resonators |
| title_sort | edge waves and localization in lattices containing tilted resonators |
| topic | elasticity lattices metamaterials Dirac-like cones edge waves |
| url | http://journal.frontiersin.org/article/10.3389/fmats.2017.00016/full |
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