On the Validity of the Tight-Binding Method for Describing Systems of Subwavelength Resonators

DOI10.1137/21M1449804zbMath1498.35022arXiv2108.08223OpenAlexW3210058067MaRDI QIDQ5102158

Erik Orvehed Hiltunen, Francesco Fiorani, Habib Ammari

Publication date: 6 September 2022

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.08223

zbMATH Keywords

metamaterialssubwavelength resonancedilute regimecapacitance matrix formulationnearest-neighbor approximationtight binding method

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Wave equation (35L05) Almost and pseudo-almost periodic solutions to PDEs (35B15) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

Subwavelength Resonances in One-Dimensional High-Contrast Acoustic Media ⋮ Transmission properties of time-dependent one-dimensional metamaterials ⋮ Anderson localization in the subwavelength regime

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