Applications of Chebyshev polynomials and Toeplitz theory to topological metamaterials
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Date
2024-09
Publication Type
Report
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Abstract
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.
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published
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2024-29
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Publisher
Seminar for Applied Mathematics, ETH Zurich
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Subject
Topological metamaterials; Nonreciprocal metamaterials; Topological interface modes; Non-Hermitian skin effect; Tunable localistion; Generalised Brillouin zone; Chebyshev polynomials; Toeplitz theory
Organisational unit
09504 - Ammari, Habib / Ammari, Habib
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Funding Info about funding
200307 - Mathematics of dielectric artificial media (SNF)
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