Edge Modes in Subwavelength Resonators in One Dimension
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Author / Producer
Date
2023
Publication Type
Journal Article
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yes
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Abstract
We present the mathematical theory of one-dimensional infinitely periodic chains of subwavelength resonators. We analyze both Hermitian and non-Hermitian systems. Subwavelength resonances and associated modes can be accurately predicted by a finite dimensional eigenvalue problem involving a capacitance matrix. We are able to compute the Hermitian and non-Hermitian Zak phases, showing that the former is quantized and the latter is not. Furthermore, we show the existence of localized edge modes arising from defects in the periodicity in both the Hermitian and non-Hermitian cases. In the non-Hermitian case, we provide a complete characterization of the edge modes.
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published
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Journal / series
Volume
21 (3)
Pages / Article No.
964 - 992
Publisher
SIAM
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Subject
subwavelength resonance; non-Hermitian topological systems; topologically protected edge modes; one-dimensional periodic chains of subwavelength resonators
Organisational unit
09504 - Ammari, Habib / Ammari, Habib
Notes
Funding
200307 - Mathematics of dielectric artificial media (SNF)
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