Spectral properties of periodic media in the large coupling limit

From MaRDI portal
Publication:4494634

DOI10.1080/03605300008821555zbMath0958.35089OpenAlexW2063115398MaRDI QIDQ4494634

Rainer Hempel, Karsten Lienau

Publication date: 2 April 2001

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300008821555



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (55)

Spectral gaps in a double-periodic perforated Neumann waveguideBloch waves in high contrast electromagnetic crystalsThe band-gap structure of the spectrum in a periodic medium of masonry typeON THE DENSITY OF STATES OF PERIODIC MEDIA IN THE LARGE COUPLING LIMITOperator-norm resolvent asymptotic analysis of continuous media with high-contrast inclusionsAsymptotic analysis of high-contrast phononic crystals and a criterion for the band-gap openingFloquet-Bloch Theory for Elliptic Problems with Discontinuous CoefficientsBloch spectra for high contrast elastic mediaSpectral gaps for periodic Schrödinger operators with strong magnetic fieldsQuasi-periodic two-scale homogenisation and effective spatial dispersion in high-contrast mediaSubwavelength Localized Modes for Acoustic Waves in Bubbly Crystals with a DefectLocalized modes due to defects in high contrast periodic media via two-scale homogenizationOpening of a gap in the continuous spectrum of a periodically perturbed waveguideGap in a continuous spectrum of an elastic waveguide with a partly clamped surfaceOpening up and control of spectral gaps of the Laplacian in periodic domainsEffects of Rayleigh waves on the essential spectrum in perturbed doubly periodic elliptic problemsGap in the essential spectrum of an elliptic formally self-adjoint system of differential equationsEffective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. IResonance and double negative behavior in metamaterialsAnalytic and algebraic properties of dispersion relations (Bloch varieties) and Fermi surfaces. What is known and unknownBands in the spectrum of a periodic elastic waveguideExtremal spectral gaps for periodic Schrödinger operatorsCreating and controlling band gaps in periodic media with small resonatorsGaps in the spectrum of two-dimensional square packing of stiff disksCreating Band Gaps in Periodic MediaOn gaps in the spectrum of the operator of elasticity theory on a high contrast periodic structurePeriodic Riemannian manifold with preassigned gaps in spectrum of Laplace-Beltrami operatorElliptic operators with honeycomb symmetry: Dirac points, edge states and applications to photonic grapheneModeling photonic crystal fibersPeriodic Operators in High-Contrast Media and the Integrated Density of States FunctionOn guided waves in 3-D photonic crystalsRemark on justification of asymptotics of spectra of cylindrical waveguides with periodic singular perturbations of boundary and coefficientsEssential spectrum of a periodic waveguide with non-periodic perturbationOn guided waves created by line defectsSpectral gaps in the Dirichlet and Neumann problems on the plane perforated by a doubleperiodic family of circular holesGap opening in the essential spectrum of the elasticity theory problem in a periodic half-layerSome analogues of the double-porositymodels and the associated effect of micro-resonanceEssential spectrum of a periodic elastic waveguide may contain arbitrarily many gapsA gap in the essential spectrum of a cylindrical waveguide with a periodic aperturbation of the surfaceSubwavelength phononic bandgap opening in bubbly mediaResolvent estimates for high-contrast elliptic problems with periodic coefficientsOn Band-Gap Structure of Spectrum in Network Double-Porosity ModelsUnified approach to critical-contrast homogenisation with explicit links to time-dispersive mediaOn spectrum gaps of some divergent elliptic operators with periodic coefficientsEigenvalue branches of the perturbed Maxwell operator M+λD in a gap of σ(M)An overview of periodic elliptic operatorsProperties of Spectra of Boundary Value Problems in Cylindrical and Quasicylindrical DomainsSpectral Convergence for High‐Contrast Elliptic Periodic Problems with a Defect Via HomogenizationConvergent Power Series for Fields in Positive or Negative High-Contrast Periodic MediaA gap in the spectrum of the Neumann–Laplacian on a periodic waveguideHOMOGENIZATION OF THE SYSTEM OF HIGH‐CONTRAST MAXWELL EQUATIONSZur Existenz von Spektrallücken bei periodischen Operatoren vom DivergenztypGaps in the spectrum of the Neumann Laplacian generated by a system of periodically distributed trapsHigh Contrast Elliptic Operators in Honeycomb StructuresPeriodic manifolds with spectral gaps



Cites Work


This page was built for publication: Spectral properties of periodic media in the large coupling limit