On vanishing and localizing around corners of electromagnetic transmission resonances

DOI10.1007/s42985-021-00131-6zbMath1477.78003OpenAlexW3211676762WikidataQ115369766 ScholiaQ115369766MaRDI QIDQ2063951

Ke Yang, Xianchao Wang, Hongyu Liu, Huai-An Diao

Publication date: 3 January 2022

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42985-021-00131-6

zbMATH Keywords

electromagnetic scatteringMaxwell systemgeometric propertytransmission resonanceHerglotz approximationvanishing and localising

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Finite element methods applied to problems in fluid mechanics (76M10) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (4)

Stable determination by a single measurement, scattering bound and regularity of transmission eigenfunctions ⋮ Stable determination of an elastic medium scatterer by a single far-field measurement and beyond ⋮ Boundary localization of transmission eigenfunctions in spherically stratified media ⋮ On vanishing near corners of conductive transmission eigenfunctions

Uses Software

• FreeFem++

Cites Work

• Mathematical and statistical methods for multistatic imaging
• Corners always scatter
• Strictly convex corners scatter
• On local and global structures of transmission eigenfunctions and beyond
• Free boundary methods and non-scattering phenomena
• Nearly non-scattering electromagnetic wave set and its application
• On vanishing near corners of transmission eigenfunctions
• Inverse Scattering Theory and Transmission Eigenvalues
• Finite Element Methods for Maxwell's Transmission Eigenvalues
• Looking Back on Inverse Scattering Theory
• Nonradiating Sources and Transmission Eigenfunctions Vanish at Corners and Edges
• On vanishing and localizing of transmission eigenfunctions near singular points: a numerical study
• On Electromagnetic Scattering from a Penetrable Corner
• Radiating and non-radiating sources in elasticity
• Finite Element Methods for Maxwell's Equations
• New development in freefem++
• On corner scattering for operators of divergence form and applications to inverse scattering
• Scattering by Curvatures, Radiationless Sources, Transmission Eigenfunctions, and Inverse Scattering Problems
• On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications
• Recovering piecewise constant refractive indices by a single far-field pattern
• On corners scattering stably and stable shape determination by a single far-field pattern
• On a local geometric property of the generalized elastic transmission eigenfunctions and application
• Inverse Acoustic and Electromagnetic Scattering Theory
• Surface-Localized Transmission Eigenstates, Super-resolution Imaging, and Pseudo Surface Plasmon Modes

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