Resonance meets homogenization. Construction of meta-materials with astonishing properties
From MaRDI portal
Publication:512223
DOI10.1365/s13291-016-0153-2zbMath1359.78029OpenAlexW2542183312MaRDI QIDQ512223
Publication date: 24 February 2017
Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1365/s13291-016-0153-2
homogenizationMaxwell's equationsHelmholtz equationresonancenegative index materialsmeta-materialssound absorbers
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) Homogenization in optics and electromagnetic theory (78M40)
Related Items
Modelling resonant arrays of the Helmholtz type in the time domain, Effective Maxwell's equations for perfectly conducting split ring resonators, Mathematical analysis of transmission properties of electromagnetic meta-materials, Homogenization of sound-soft and high-contrast acoustic metamaterials in subcritical regimes, Sound absorption by perforated walls along boundaries, The electromagnetic waves generated by a cluster of nanoparticles with high refractive indices, Numerical multiscale methods for waves in high-contrast media, Spectrum of the Laplacian on a Domain Perturbed by Small Resonators, Creating and controlling band gaps in periodic media with small resonators, The effective permittivity and permeability generated by a cluster of moderately contrasting nanoparticles, Computational Homogenization of Time-Harmonic Maxwell's Equations, Effective Helmholtz problem in a domain with a Neumann sieve perforation, The geometric average of curl-free fields in periodic geometries, Effective acoustic properties of a meta-material consisting of small Helmholtz resonators, Effective Maxwell’s equations in general periodic microstructures
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Resonance and double negative behavior in metamaterials
- Effective acoustic properties of a meta-material consisting of small Helmholtz resonators
- Homogenization of nonlinear reaction-diffusion equation with a large reaction term
- Homogenization of the 3D Maxwell system near resonances and artificial magnetism
- Bloch wave homogenization and spectral asymptotic analysis
- Non-homogeneous media and vibration theory
- Eigenvalues and resonances for domains with tubes: Neumann boundary conditions
- Periodic unfolding and homogenization
- Homogenization near resonances and artificial magnetism from dielectrics
- Dispersive limits in the homogenization of the wave equation.
- Plasmonic waves allow perfect transmission through sub-wavelength metallic gratings
- Resonances of an elastic resonator
- Homogenization of Maxwell's Equations in a Split Ring Geometry
- Effective Maxwell Equations in a Geometry with Flat Rings of Arbitrary Shape
- A Negative Index Meta-Material for Maxwell's Equations
- Homogenization of a Wire Photonic Crystal: The Case of Small Volume Fraction
- Magnetism and Homogenization of Microresonators
- Homogenization and Two-Scale Convergence
- A General Convergence Result for a Functional Related to the Theory of Homogenization
- Homogenization of a set of parallel fibres
- Analogues of the Helmholtz resonator in homogenization theory
- Multiscale convergence and reiterated homogenisation
- Bloch-Wave Homogenization on Large Time Scales and Dispersive Effective Wave Equations
- The low-frequency spectrum of small Helmholtz resonators
- Matching of asymptotic expansions for waves propagation in media with thin slots II: The error estimates
- Non-local homogenized limits for composite media with highly anisotropic periodic fibres
- Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots
- Scattering frequencies of resonators
