Scattering Resonances of Microstructures and Homogenization Theory

DOI10.1137/030600850zbMath1075.35064OpenAlexW2144836280MaRDI QIDQ5695897

Steven E. Golowich, Michael I. Weinstein

Publication date: 6 October 2005

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/030600850

zbMATH Keywords

radiationeigenvaluesHamiltonianhomogenizationSchrödinger equationtunnelingphotonic crystaleigenvalue perturbation theoryscattering resonancescattering frequency

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Methods involving semicontinuity and convergence; relaxation (49J45) Diffraction, scattering (78A45) (2)-body potential quantum scattering theory (81U05) Resonance in context of PDEs (35B34)

Related Items (9)

Scattering resonances for highly oscillatory potentials ⋮ Resonances for random highly oscillatory potentials ⋮ Localized modes due to defects in high contrast periodic media via two-scale homogenization ⋮ Bound States for Rapidly Oscillatory Schrödinger Operators in Dimension 2 ⋮ Bose-Einstein condensates in the presence of a magnetic trap and optical lattice ⋮ Scattering and Localization Properties of Highly Oscillatory Potentials ⋮ Bound states of nonlinear Schrödinger equations with a periodic nonlinear microstructure ⋮ Defect modes for dislocated periodic media ⋮ Characterization of edge states in perturbed honeycomb structures

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