Homogenization of sound-soft and high-contrast acoustic metamaterials in subcritical regimes
DOI10.1051/m2an/2022098zbMath1514.35021OpenAlexW4311248609MaRDI QIDQ6044900
Publication date: 25 May 2023
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2022098
strange termeffective medium theorynon-periodic homogenizationsubwavelength resonancehigh-contrast mediumholomorphic integral operators
Scattering theory for PDEs (35P25) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Resonance in context of PDEs (35B34) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Holomorphic maps in nonlinear functional analysis (46T25)
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Cites Work
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- Resonance meets homogenization. Construction of meta-materials with astonishing properties
- The Laplacian in regions with many small obstacles: Fluctuations around the limit operator
- Limit theorems for the minimum interpoint distance between any pair of i.i.d. random points in \(R^ d\)
- Potential and scattering theory on wildly perturbed domains
- Minnaert resonances for acoustic waves in bubbly media
- Homogenization near resonances and artificial magnetism from dielectrics
- Averaging of dilute random media: a rigorous proof of the Clausius-Mossotti formula
- Spectral theory of a Neumann-Poincaré-type operator and analysis of cloaking due to anomalous localized resonance
- Quantitative homogenization of interacting particle systems
- Wave interaction with subwavelength resonators
- Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. I
- A high-frequency homogenization approach near the Dirac points in bubbly honeycomb crystals
- Topologically protected edge modes in one-dimensional chains of subwavelength resonators
- Effective resonant model and simulations in the time-domain of wave scattering from a periodic row of highly-contrasted inclusions
- Topology optimization of acoustic metasurfaces by using a two-scale homogenization method
- Homogenization near resonances and artificial magnetism in three dimensional dielectric metamaterials
- The point-interaction approximation for the fields generated by contrasted bubbles at arbitrary fixed frequencies
- A variational perspective on cloaking by anomalous localized resonance
- Mathematical and Computational Methods in Photonics and Phononics
- A Mathematical and Numerical Framework for Bubble Meta-Screens
- Homogenization for the Poisson equation in randomly perforated domains under minimal assumptions on the size of the holes
- Sub-wavelength focusing of acoustic waves in bubbly media
- Estimates for norms of resolvents and an application to the perturbation of spectra
- Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media
- The Clausius--Mossotti Formula for Dilute Random Media of Perfectly Conducting Inclusions
- High Order Homogenization of the Stokes System in a Periodic Porous Medium
- High‐order exceptional points and enhanced sensing in subwavelength resonator arrays
- A simple justification of effective models for conducting or fluid media with dilute spherical inclusions
- Mimicking the active cochlea with a fluid-coupled array of subwavelength Hopf resonators
- Characterization of the acoustic fields scattered by a cluster of small holes
- Scattering of acoustic waves by a nonlinear resonant bubbly screen
- The Equivalent Media Generated by Bubbles of High Contrasts: Volumetric Metamaterials and Metasurfaces
- Double-negative acoustic metamaterials
- Inverse Acoustic and Electromagnetic Scattering Theory
- On the Justification of the Foldy--Lax Approximation for the Acoustic Scattering by Small Rigid Bodies of Arbitrary Shapes
- Effective Medium Theory for Acoustic Waves in Bubbly Fluids near Minnaert Resonant Frequency
- The low-frequency spectrum of small Helmholtz resonators
- Super-resolution in high-contrast media
- Two-scale homogenization to determine effective parameters of thin metallic-structured films
- The Multiple Scattering of Waves. I. General Theory of Isotropic Scattering by Randomly Distributed Scatterers
- Analysis of a Monte-Carlo Nystrom Method
- Linear integral equations
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