Uniqueness in an inverse scattering problem within non-trapping polygonal obstacles with at most two incoming waves

From MaRDI portal
Publication:4466446

DOI10.1088/0266-5611/19/6/008zbMath1041.35078OpenAlexW4245515027MaRDI QIDQ4466446

Jin Cheng, Masahiro Yamamoto

Publication date: 10 June 2004

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/19/6/008




Related Items (38)

Inverse wave scattering by unbounded obstacles: uniqueness for the two-dimensional Helmholtz equationOn local and global structures of transmission eigenfunctions and beyondInverse problems on low-dimensional manifoldsShape Identification in Inverse Medium Scattering Problems with a Single Far-Field PatternLooking Back on Inverse Scattering TheoryMathematical Design of a Novel Gesture-Based Instruction/Input Device Using Wave DetectionInverse medium scattering problems with Kalman filter techniquesAnalytic extension and reconstruction of obstacles from few measurements for elliptic second order operatorsA novel quantitative inverse scattering scheme using interior resonant modesInverse Acoustic Scattering with Phaseless Far Field Data: Uniqueness, Phase Retrieval, and Direct Sampling MethodsOn nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problemsTwo single-measurement uniqueness results for inverse scattering problems within polyhedral geometriesSome recent progress on inverse scattering problems within general polyhedral geometryUniqueness in determining polygonal periodic structuresSimultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operatorsUniqueness to inverse acoustic and electromagnetic scattering from locally perturbed rough surfacesInverse Time-Harmonic Electromagnetic Scattering from Coated Polyhedral Scatterers With a Single Far-Field PatternUnique determination of periodic polyhedral structures by scattered electromagnetic fields II: The resonance caseON THE USE OF THE RECIPROCITY-GAP FUNCTIONAL IN INVERSE SCATTERING FROM PLANAR CRACKSOn corners scattering stably and stable shape determination by a single far-field patternAcoustic scattering from corners, edges and circular conesDetermining a sound-soft polyhedral scatterer by a single far-field measurementOn generalized Holmgren's principle to the Lamé operator with applications to inverse elastic problemsRecovery of polyhedral scatterers by a single electromagnetic far-field measurementUniqueness and factorization method for inverse elastic scattering with a single incoming waveStable determination of sound-hard polyhedral scatterers by a minimal number of scattering measurementsPartial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equationsUniqueness to inverse acoustic scattering from coated polygonal obstacles with a single incoming waveStable Determination of a Rigid Scatterer in ElastodynamicsUnique determination of periodic polyhedral structures by scattered electromagnetic fieldsInfinite-dimensional inverse problems with finite measurementsA neural network method for the inverse scattering problem of impenetrable cavitiesMosco convergence for \(H(\text{curl})\) spaces, higher integrability for Maxwell's equations, and stability in direct and inverse EM scattering problemsA neural network scheme for recovering scattering obstacles with limited phaseless far-field dataScattering by Curvatures, Radiationless Sources, Transmission Eigenfunctions, and Inverse Scattering ProblemsUniqueness in determining refractive indices by formally determined far-field dataOn the geometric structures of transmission eigenfunctions with a conductive boundary condition and applicationsOn Novel Geometric Structures of Laplacian Eigenfunctions in $\mathbb{R}^3$ and Applications to Inverse Problems




This page was built for publication: Uniqueness in an inverse scattering problem within non-trapping polygonal obstacles with at most two incoming waves