Found 32 Documents (Results 1–32)
Mathematical analysis and numerical methods for inverse scattering problems. (English) Zbl 1535.65265
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5034-5055 (2023).
Uniqueness in determining rectangular grating profiles with a single incoming wave. II: TM polarization case. (English) Zbl 1526.35126
Uniqueness in inverse diffraction grating problems with infinitely many plane waves at a fixed frequency. (English) Zbl 1512.35681
Uniqueness in determining rectangular grating profiles with a single incoming wave. I: TE polarization case. (English) Zbl 1511.35385
Two single-measurement uniqueness results for inverse scattering problems within polyhedral geometries. (English) Zbl 1512.35655
Imaging of bi-anisotropic periodic structures from electromagnetic near-field data. (English) Zbl 1486.35469
Some recent progress on inverse scattering problems within general polyhedral geometry. (English) Zbl 1456.35229
Inverse scattering by a random periodic structure. (English) Zbl 1452.78015
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems. (English. French summary) Zbl 1452.35120
Reviewer: Khanlar R. Mamedov (Mersin)
On the properties of quasi-periodic boundary integral operators for the Helmholtz equation. (English) Zbl 1436.31004
A nonlinear least squares framework for periodic grating identification with a high-order perturbation of surfaces implementation. (English) Zbl 1421.78027
Numerical method of profile reconstruction for a periodic transmission problem from single-sided data. (English) Zbl 1488.35630
A robust numerical method for the random interface grating problem via shape calculus, weak Galerkin method, and low-rank approximation. (English) Zbl 1405.78012
Uniqueness results for scattering and inverse scattering by infinite rough surfaces with tapered wave incidence. (English) Zbl 1401.35336
Inverse medium scattering from periodic structures with fixed-direction incoming waves. (English) Zbl 1507.65224
Three-dimensional quasi-periodic shifted Green function throughout the spectrum, including Wood anomalies. (English) Zbl 1404.76188
Inverse electromagnetic diffraction by biperiodic dielectric gratings. (English) Zbl 1378.78023
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
Rapidly convergent two-dimensional quasi-periodic Green function throughout the spectrum-including wood anomalies. (English) Zbl 1349.74356
MSC:
74S20
Shape identification of anisotropic diffraction gratings for TM-polarized electromagnetic waves. (English) Zbl 1295.78009
A linear sampling method for inverse problems of diffraction gratings of mixed type. (English) Zbl 1251.35188
Inverse wave scattering by unbounded obstacles: uniqueness for the two-dimensional Helmholtz equation. (English) Zbl 1238.35186
Uniqueness results in the inverse scattering problem for periodic structures. (English) Zbl 1236.35207
Uniqueness in inverse scattering of elastic waves by three-dimensional polyhedral diffraction gratings. (English) Zbl 1279.78011
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