scientific article; zbMATH DE number 1569591

Publication date: 25 February 2001

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

elasticity integral representation sphere electromagnetics ellipsoid acoustics transmission problem Rayleigh scattering idealized low frequency scattering

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Diffraction, scattering (78A45) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Hydro- and aero-acoustics (76Q05) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Research exposition (monographs, survey articles) pertaining to optics and electromagnetic theory (78-02)

Related Items

On the Low-Frequency Interaction between a Central Dyadic Wave and a Spherical Cavity, Connection formulae between ellipsoidal and spherical harmonics with applications to fluid dynamics and electromagnetic scattering, Point-Source Elastic Scattering by a Nested Piecewise Homogeneous Obstacle in an Elastic Environment, Scattering of a Spherical Dyadic Field by a Small Rigid Sphere, Semi‐analytical time‐domain low‐frequency scattering formulation for biological applications, Scattering relations for point-generated dyadic fields in two-dimensional linear elasticity, Dipolar excitation of a perfectly electrically conducting spheroid in a lossless medium at the low-frequency regime, Electromagnetic scattering theorems for interior dipole excitation of a layered obstacle, Excitation of a layered sphere by 𝑁 acoustic sources: Exact solutions, low-frequency approximations, and inverse problems, Electromagnetic scattering by a perfectly conducting obstacle in a homogeneous chiral environment: solvability and low-frequency theory, Direct and inverse dipole electromagnetic scattering by a piecewise homogeneous sphere, Complex variables-based approach for analytical evaluation of boundary integral representations of three-dimensional acoustic scattering, Scattering of electromagnetic waves by many small perfectly conducting or impedance bodies, Scattering Relations for a Multi-Layered Chiral Scatterer in an Achiral Environment, On a gesture-computing technique using electromagnetic waves, Two-dimensional elastic scattering coefficients and enhancement of nearly elastic cloaking, On the \(T\)-matrix for scattering by small obstacles, On the far field patterns for electromagnetic scattering in two dimensions, The point-interaction approximation for the fields generated by contrasted bubbles at arbitrary fixed frequencies, Recovery of an embedded obstacle and the surrounding medium for Maxwell's system, Target identification using dictionary matching of generalized polarization tensors, Reconstruction of Multiscale Elastic Sources from Multifrequency Sparse Far Field Patterns, 3D elastic scattering theorems for point-generated dyadic fields, Electromagnetic interactions of dipole distributions with a stratified medium: Power fluxes and scattering cross sections, Near-field inverse electromagnetic scattering problems for ellipsoids, TARGET CHARACTERIZATION USING TIME-REVERSAL SYMMETRY OF WAVE PROPAGATION, Quadratic quantities in acoustics: scattering cross-section and radiation force, The effective permittivity and permeability generated by a cluster of moderately contrasting nanoparticles, Analytical algorithms for direct and inverse problems pertaining to the electromagnetic excitation of a layered medium by N dipoles, Generalized polarization tensors for shape description, Topological sensitivity and FMM-accelerated BEM applied to 3D acoustic inverse scattering, A boundary-field formulation for elastodynamic scattering, Nearly cloaking the full Maxwell equations: cloaking active contents with general conducting layers, A new method of internal auxiliary source-sinks (MIASS) for two-dimensional interior Dirichlet acoustic problems, The Foldy--Lax Approximation for the Full Electromagnetic Scattering by Small Conductive Bodies of Arbitrary Shapes, The Atkinson-Wilcox expansion theorem for electromagnetic chiral waves, Many-body wave scattering by small bodies and applications, Radiation relations for electromagnetic excitation of a layered chiral medium by an interior dipole, On the topological sensitivity of transient acoustic fields, Acoustic diffraction by a thin soft torus, Acoustic scattering by a cluster of small sound-soft obstacles, Sounding of finite solid bodies by way of topological derivative, Scattering theorems for dyadic chiral fields, An algebraic calculation method for the acoustic low frequency expansion, Scattering Relations of Elastic Waves by a Multi-Layered Thermoelastic Body, An algebraic formula for the accelerated computation of the low frequency scattering coefficients: the case of the acoustically soft sphere, Electromagnetic wave scattering by many small particles, Foldy–Lax approximation on multiple scattering by many small scatterers, An inverse electromagnetic scattering problem for a layered ellipsoid, A near-field inverse scattering problem for an elastic ellipsoid, Scattering relations for point‐source excitation in chiral media, Static elastic cloaking, low-frequency elastic wave transparency and neutral inclusions, Revisiting the low-frequency dipolar perturbation by an impenetrable ellipsoid in a conductive surrounding, Apposition of the topological sensitivity and linear sampling approaches to inverse scattering, The disturbance of a plane dyadic wave by a small spherical cavity, The localized nonlinear approximation in ellipsoidal geometry: a novel approach to the low-frequency scattering problem, Low frequency electromagnetic scattering by a perfectly conducting moving sphere, The DtN nonreflecting boundary condition for multiple scattering problems in the half-plane, On the polarizability potential for two spheres, Theoretical development of elliptic cross-sectional hyperboloidal harmonics and their application to electrostatics, Low-frequency scattering from perfectly conducting spheroidal bodies in a conductive medium with magnetic dipole excitation, The basic elliptic equations in an equilateral triangle, A Transmission problem for bi-isotropic media, Wave scattering by small impedance particles in a medium, LOW-FREQUENCY ACOUSTIC SCATTERING OF A PLANE WAVE FROM A SOFT AND HARD TORUS, The penetrable coated sphere embedded in a point source excitation field., Mesoscale approximation of the electromagnetic fields, Mathematical analysis of the acoustic imaging modality using bubbles as contrast agents at nearly resonating frequencies, Mathematical and numerical analysis of low-frequency scattering from a PEC ring torus in a conductive medium, Time harmonic acoustic scattering in anisotropic media, Scattering of electromagnetic plane waves by a spheroid uniformly moving in free space, The direct scattering problem: Uniqueness and existence for anisotropic media, Anisotropic elasticity and harmonic functions in Cartesian geometry, On the far field patterns for electromagnetic scattering by a chiral obstacle in a chiral environment, Locating Multiple Multiscale Acoustic Scatterers, Domain sensitivity analysis of the elastic far-field patterns in scattering from nonsmooth obstacles, Excitation of a layered medium by 𝑁 sources: Scattering relations, interaction cross sections and physical bounds, Asymptotics of near-cloaking, The Atkinson-Wilcox theorem in ellipsoidal geometry, Solving an Electromagnetic Scattering Problem in Chiral Media, Determining an obstacle by far-field data measured at a few spots, Low-frequency scattering defined by the Helmholtz equation in one dimension