Boundary localization of transmission eigenfunctions in spherically stratified media
DOI10.3233/asy-221794zbMath1530.35293arXiv2201.08971OpenAlexW4221142555MaRDI QIDQ6161343
Hongyu Liu, Kai Zhang, Jiachuan Zhang, Yan Jiang
Publication date: 27 June 2023
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.08971
Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)
Related Items (2)
Cites Work
- Unnamed Item
- Corners always scatter
- Singular Sturm comparison theorems
- Strictly convex corners scatter
- Singular perturbation of reduced wave equation and scattering from an embedded obstacle
- On generalized Holmgren's principle to the Lamé operator with applications to inverse elastic problems
- Further results on generalized Holmgren's principle to the Lamé operator and applications
- On an electromagnetic problem in a corner and its applications
- On vanishing and localizing around corners of electromagnetic transmission resonances
- On vanishing near corners of conductive transmission eigenfunctions
- Stable determination by a single measurement, scattering bound and regularity of transmission eigenfunctions
- On local and global structures of transmission eigenfunctions and beyond
- On new surface-localized transmission eigenmodes
- On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems
- On vanishing near corners of transmission eigenfunctions
- “Best possible” upper and lower bounds for the zeros of the Bessel function 𝐽_{𝜈}(𝑥)
- 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
- On anomalous localized resonance and plasmonic cloaking beyond the quasi-static limit
- Radiating and non-radiating sources in elasticity
- 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
- On Geometrical Properties of Electromagnetic Transmission Eigenfunctions and Artificial Mirage
- Localized Sensitivity Analysis at High-Curvature Boundary Points of Reconstructing Inclusions in Transmission Problems
- Recovering piecewise constant refractive indices by a single far-field pattern
- Stable determination of polygonal inclusions in Calderón’s problem by a single partial boundary measurement
- 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
- Zeros of the Bessel and spherical Bessel functions and their applications for uniqueness in inverse acoustic obstacle scattering
- Unique continuation from a generalized impedance edge-corner for Maxwell’s system and applications to inverse problems
- Surface-Localized Transmission Eigenstates, Super-resolution Imaging, and Pseudo Surface Plasmon Modes
This page was built for publication: Boundary localization of transmission eigenfunctions in spherically stratified media