Functional analytic methods for discrete approximations of subwavelength resonator systems
DOI10.2140/paa.2024.6.873MaRDI QIDQ6642531
Erik Orvehed Hiltunen, Bryn Davies, H. Ammari
Publication date: 24 November 2024
Published in: Pure and Applied Analysis (Search for Journal in Brave)
phase transitionwave localizationtopological insulatorsmetamaterialscapacitance matrixasymptotic expansions of eigenvaluesHelmholtz scatteringsubwavelength resonance
Wave scattering in solid mechanics (74J20) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Cites Work
- Unnamed Item
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- Unnamed Item
- Mathematical analysis of plasmonic nanoparticles: the scalar case
- Defect modes for dislocated periodic media
- Polarization and moment tensors. With applications to inverse problems and effective medium theory
- Volume and surface integral equations for electromagnetic scattering by a dielectric body
- A treatise on electricity and magnetism.
- Minnaert resonances for acoustic waves in bubbly media
- Subwavelength phononic bandgap opening in bubbly media
- The bulk-edge correspondence for disordered chiral chains
- Resonance theory in atom-surface scattering
- Partial differential equations. 2: Qualitative studies of linear equations
- Spectral analysis of the Neumann-Poincaré operator and characterization of the stress concentration in anti-plane elasticity
- Volume integral equations for electromagnetic scattering in two dimensions
- A mathematical theory of super-resolution by using a system of sub-wavelength Helmholtz resonators
- Time-dependent high-contrast subwavelength resonators
- Subwavelength guided modes for acoustic waves in bubbly crystals with a line defect
- Perturbation of the scattering resonances of an open cavity by small particles. I: The transverse magnetic polarization case
- A high-frequency homogenization approach near the Dirac points in bubbly honeycomb crystals
- Topologically protected edge modes in one-dimensional chains of subwavelength resonators
- Wave packet dynamics in slowly modulated photonic graphene
- Wave packets in honeycomb structures and two-dimensional Dirac equations
- Mathematical analysis of plasmonic resonances for nanoparticles: the full Maxwell equations
- Topologically protected states in one-dimensional continuous systems and Dirac points
- Edge states in ordinary differential equations for dislocations
- On the cloaking effects associated with anomalous localized resonance
- Asymptotic and Numerical Techniques for Resonances of Thin Photonic Structures
- Guided waves by electromagnetic gratings and non‐uniqueness examples for the diffraction problem
- Mathematical and Computational Methods in Photonics and Phononics
- Subwavelength Localized Modes for Acoustic Waves in Bubbly Crystals with a Defect
- Honeycomb Schrödinger Operators in the Strong Binding Regime
- Asymptotic analysis of resonances of small volume high contrast linear and nonlinear scatterers
- Bloch Waves in Bubbly Crystal Near the First Band Gap: A High-Frequency Homogenization Approach
- Graded resonator arrays for spatial frequency separation and amplification of water waves
- Wave Packets in the Fractional Nonlinear Schrödinger Equation with a Honeycomb Potential
- High‐order exceptional points and enhanced sensing in subwavelength resonator arrays
- Mathematical analysis of electromagnetic scattering by dielectric nanoparticles with high refractive indices
- Exceptional Points in Parity--Time-Symmetric Subwavelength Metamaterials
- Fano resonance in metallic grating via strongly coupled subwavelength resonators
- ThreeFold Weyl Points for the Schrödinger Operator with Periodic Potentials
- Mimicking the active cochlea with a fluid-coupled array of subwavelength Hopf resonators
- Honeycomb-Lattice Minnaert Bubbles
- Close-To-Touching Acoustic Subwavelength Resonators: Eigenfrequency Separation and Gradient Blow-Up
- A fully coupled subwavelength resonance approach to filtering auditory signals
- Bound states in the continuum and Fano resonances in subwavelength resonator arrays
- Subwavelength resonant dielectric nanoparticles with high refractive indices
- Double-negative acoustic metamaterials
- The bulk-edge correspondence for continuous honeycomb lattices
- Mathematical Theory of Scattering Resonances
- Asymptotically precise norm estimates of scattering from a small circular inhomogeneity
- Effective Medium Theory for Acoustic Waves in Bubbly Fluids near Minnaert Resonant Frequency
- Super-resolution in high-contrast media
- AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ
- The Band Theory of Graphite
- Mathematical theory for topological photonic materials in one dimension
- Floquet theory for partial differential equations
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
- Mathematical modeling of near-field optics.
- Edge states for second order elliptic operators in a channel
- Homogenization of sound-soft and high-contrast acoustic metamaterials in subcritical regimes
- Double Dirac Cones in Band Structures of Periodic Schroedinger Operators
- Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies
- Mathematical foundations of the non-Hermitian skin effect
- Robust edge modes in dislocated systems of subwavelength resonators
- Anderson localization in the subwavelength regime
- Metamaterial analysis and design. A mathematical treatment of cochlea-inspired sensors
- Asymptotic Links between Signal Processing, Acoustic Metamaterials, and Biology
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