Long-Lived Scattering Resonances and Bragg Structures

DOI10.1137/110856228zbMath1307.78009arXiv1301.3600OpenAlexW2016507978MaRDI QIDQ2841004

Braxton Osting, Michael I. Weinstein

Publication date: 24 July 2013

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.3600

zbMATH Keywords

Helmholtz equationresonancespectral optimizationquality factorquarter-wave stackspherical resonatorBragg conditionFabry-Pérot cavity

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Estimates of eigenvalues in context of PDEs (35P15) Scattering theory for PDEs (35P25) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Quantum scattering theory (81U99) Waves and radiation in optics and electromagnetic theory (78A40) Eigenvalue problems for integral equations (45C05)

Related Items (11)

On spurious solutions encountered in Helmholtz scattering resonance computations in \(\mathbb{R}^d\) with applications to nano-photonics and acoustics ⋮ The singularity expansion method and near-trapping of linear water waves ⋮ Nonlinear bang-bang eigenproblems and optimization of resonances in layered cavities ⋮ On spurious solutions in finite element approximations of resonances in open systems ⋮ Mathematical modeling of the photoacoustic effect generated by the heating of metallic nanoparticles ⋮ Asymptotic analysis of resonances of small volume high contrast linear and nonlinear scatterers ⋮ Perturbation of the scattering resonances of an open cavity by small particles. I: The transverse magnetic polarization case ⋮ Extremal spectral gaps for periodic Schrödinger operators ⋮ Bragg structure and the first spectral gap ⋮ Pareto optimization of resonances and minimum-time control ⋮ Scattering Resonances for a Two-Dimensional Potential Well with a Thick Barrier

This page was built for publication: Long-Lived Scattering Resonances and Bragg Structures