Applications of Chebyshev polynomials and Toeplitz theory to topological metamaterials
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866914958357299200 |
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| author | Ammari, Habib Barandun, Silvio Liu, Ping |
| author_facet | Ammari, Habib Barandun, Silvio Liu, Ping |
| contents | We survey the use of Chebyshev polynomials and Toeplitz theory for studying topological metamaterials. We consider both Hermitian and non-Hermitian systems of subwavelength resonators and provide a mathematical framework to explain some spectacular properties of metamaterials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18144 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Applications of Chebyshev polynomials and Toeplitz theory to topological metamaterials Ammari, Habib Barandun, Silvio Liu, Ping Mathematical Physics Materials Science 35B34, 47B28, 35P25, 35C20, 81Q12, 15A18, 15B05 We survey the use of Chebyshev polynomials and Toeplitz theory for studying topological metamaterials. We consider both Hermitian and non-Hermitian systems of subwavelength resonators and provide a mathematical framework to explain some spectacular properties of metamaterials. |
| title | Applications of Chebyshev polynomials and Toeplitz theory to topological metamaterials |
| topic | Mathematical Physics Materials Science 35B34, 47B28, 35P25, 35C20, 81Q12, 15A18, 15B05 |
| url | https://arxiv.org/abs/2409.18144 |