scientific article; zbMATH DE number 503038

Publication date: 11 November 1999

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Green's function integral equation method time harmonic plane waves Fréchet differentiability of the field with respect to the curve

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items

Fast solver for quasi-periodic 2D-Helmholtz scattering in layered media, Scattering by Rough Surfaces: the Dirichlet Problem for the Helmholtz Equation in a Non-locally Perturbed Half-plane, Reconstruction of periodic gratings from one scattered wave, Uniqueness in determining rectangular grating profiles with a single incoming wave (Part I): TE polarization case, Imaging of periodic dielectrics, Integral equation methods for scattering by infinite rough surfaces, Exponential Convergence of Perfectly Matched Layers for Scattering Problems with Periodic Surfaces, Rapidly convergent two-dimensional quasi-periodic Green function throughout the spectrum-including wood anomalies, Inverse medium scattering from periodic structures with fixed-direction incoming waves, A High Order Numerical Method for Scattering from Locally Perturbed Periodic Surfaces, Elastic scattering from rough surfaces in three dimensions, Uniqueness in Inverse Diffraction Grating Problems With Infinitely Many Plane Waves at a Fixed Frequency, A volume integral equation method for periodic scattering problems for anisotropic Maxwell's equations, A perfectly matched layer for finite-element calculations of diffraction by metallic surface-relief gratings, Higher-Order Convergence of Perfectly Matched Layers in Three-Dimensional Biperiodic Surface Scattering Problems, Joint Geometry/Frequency Analyticity of Fields Scattered by Periodic Layered Media, Radiation conditions for the Helmholtz equation in a half plane filled by inhomogeneous periodic material, Fast imaging of local perturbations in a unknown bi-periodic layered medium, Reverse time migration for imaging periodic obstacles with electromagnetic plane wave, Existence, uniqueness and explicit bounds for acoustic scattering by an infinite Lipschitz boundary with an impedance condition, 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, Uniqueness in determining polygonal periodic structures, Unnamed Item, Uniqueness in inverse elastic scattering from unbounded rigid surfaces of rectangular type, Diffraction in periodic structures and optimal design of binary gratings. Part I: direct problems and gradient formulas, Resonances for Maxwell's equations in a periodic structure, A new integral equation formulation for the scattering of plane elastic waves by diffraction gratings, A Nyström method for a class of integral equations on the real line with applications to scattering by diffraction gratings and rough surfaces., An HDG method for Maxwell's equations in heterogeneous media, An Inverse Problem in Periodic Diffractive Optics: Reconstruction of Lipschitz Grating Profiles, Reconstruction of a local perturbation in inhomogeneous periodic layers from partial near field measurements, On the properties of quasi-periodic boundary integral operators for the Helmholtz equation, A complete factorization method for scattering by periodic surfaces, Unnamed Item, Spectrum Decomposition of Translation Operators in Periodic Waveguide, Time-Harmonic Acoustic Scattering from Locally Perturbed Periodic Curves, Factorization method in inverse interaction problems with bi-periodic interfaces between acoustic and elastic waves, On uniqueness and linearization of an inverse electromagnetic scattering problem