Two single-measurement uniqueness results for inverse scattering problems within polyhedral geometries
DOI10.3934/ipi.2022023OpenAlexW4294559566WikidataQ114022584 ScholiaQ114022584MaRDI QIDQ2697337
Jun Zou, Hongyu Liu, Xinlin Cao, Huai-An Diao
Publication date: 18 April 2023
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.13886
inverse obstacle scatteringgeometric structureLaplacian eigenfunctionunique identifiabilitysingle far-field patterninverse grating
Boundary value problems for second-order elliptic equations (35J25) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)
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Cites Work
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- Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators
- Stable determination of sound-hard polyhedral scatterers by a minimal number of scattering measurements
- A neural network scheme for recovering scattering obstacles with limited phaseless far-field data
- On generalized Holmgren's principle to the Lamé operator with applications to inverse elastic problems
- Decoupling elastic waves and its applications
- Further results on generalized Holmgren's principle to the Lamé operator and applications
- On an electromagnetic problem in a corner and its applications
- On local and global structures of transmission eigenfunctions and beyond
- On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems
- Some recent progress on inverse scattering problems within general polyhedral geometry
- Mosco convergence for \(H(\text{curl})\) spaces, higher integrability for Maxwell's equations, and stability in direct and inverse EM scattering problems
- Recovering a polyhedral obstacle by a few backscattering measurements
- Uniqueness in determining polygonal periodic structures
- Two Single-Shot Methods for Locating Multiple Electromagnetic Scatterers
- Locating Multiple Multiscale Electromagnetic Scatterers by a Single Far-Field Measurement
- Recovering an electromagnetic obstacle by a few phaseless backscattering measurements
- Stable Determination of a Rigid Scatterer in Elastodynamics
- On unique determination of partially coated polyhedral scatterers with far field measurements
- Uniqueness in determining polyhedral sound-hard obstacles with a single incoming wave
- A global uniqueness for formally determined inverse electromagnetic obstacle scattering
- Stable determination of sound-soft polyhedral scatterers by a single measurement
- A quasi-periodic boundary value problem for the Laplacian and the continuation of its resolvent
- Uniqueness theorems in inverse scattering theory for periodic structures
- Schiffer's theorem in inverse scattering theory for periodic structures
- Uniqueness in an inverse scattering problem within non-trapping polygonal obstacles with at most two incoming waves
- Unique determination of non-smooth sound-soft scatterers by finitely many far-field measurements
- Looking Back on Inverse Scattering Theory
- Determining a sound-soft polyhedral scatterer by a single far-field measurement
- Uniqueness theorems for an inverse problem in a doubly periodic structure
- 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
- Stable determination of polygonal inclusions in Calderón’s problem by a single partial boundary measurement
- On a local geometric property of the generalized elastic transmission eigenfunctions and application
- Inverse Acoustic and Electromagnetic Scattering Theory
- Locating Multiple Multiscale Acoustic Scatterers
- Uniqueness in an inverse acoustic obstacle scattering problem for both sound-hard and sound-soft polyhedral scatterers
- Reflection principle for the Maxwell equations and its application to inverse electromagnetic scattering
- 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
- On Novel Geometric Structures of Laplacian Eigenfunctions in $\mathbb{R}^3$ and Applications to Inverse Problems
- Inverse problems for partial differential equations
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
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