Electromagnetic scattering by small dielectric inhomogeneities.
From MaRDI portal
Publication:1414197
DOI10.1016/S0021-7824(03)00033-3zbMath1033.78006MaRDI QIDQ1414197
Habib Ammari, Abdessatar Khelifi
Publication date: 19 November 2003
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Maxwell's equationsHelmholtz equationscattering amplituderesonant frequencieselectromagnetic fieldssmall dielectric inhomogeneities
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Asymptotic analysis in optics and electromagnetic theory (78M35)
Related Items
Boundary layer techniques for solving the Helmholtz equation in the presence of small inhomogeneities, An integral equation method for the Helmholtz problem in the presence of small anisotropic inclusions, Mathematical analysis of electromagnetic scattering by dielectric nanoparticles with high refractive indices, Asymptotic behaviour of the energy for electromagnetic systems in the presence of small inhomogeneities, Exceptional Points in Parity--Time-Symmetric Subwavelength Metamaterials, Double-negative electromagnetic metamaterials due to chirality, Numerical methods for locating small dielectric inhomogeneities, Effect of cold plasma permittivity on the radiation of the dominant TEM‐wave by an impedance loaded parallel‐plate waveguide radiator, The imaging of small perturbations in an anisotropic media, Inverse acoustic scattering using high-order small-inclusion expansion of misfit function, On the behavior of resonant frequencies in the presence of small anisotropic imperfections, Target detection and characterization from electromagnetic induction data, Imaging small polarizable scatterers with polarization data, Mathematical modeling of the photoacoustic effect generated by the heating of metallic nanoparticles, Unnamed Item, A method of biological tissues elasticity reconstruction using magnetic resonance elastography measurements, On an inverse boundary problem for the heat equation when small heat conductivity defects are present in a material, Geometric multipole expansion and its application to semi-neutral inclusions of general shape, Perturbation of the scattering resonances of an open cavity by small particles. I: The transverse magnetic polarization case, An inverse problem for a linear Schrödinger equation in the presence of inhomogeneities of small volumes, Detection of scatterers using an XFEM-BEM level set solver based on the topological derivative, Asymptotic expansion for solution of Maxwell equation in domain with highly oscillating boundary, Heat Generation Using Lorentzian Nanoparticles: Estimation via Time-Domain Techniques, Correction of order three for the expansion of two dimensional electromagnetic fields perturbed by the presence of inhomogeneities of small diameter, Topological sensitivity and FMM-accelerated BEM applied to 3D acoustic inverse scattering, The Foldy--Lax Approximation for the Full Electromagnetic Scattering by Small Conductive Bodies of Arbitrary Shapes, The generalized polarization tensors for resolved imaging Part II: Shape and electromagnetic parameters reconstruction of an electromagnetic inclusion from multistatic measurements, Topological derivatives of shape functionals. I: Theory in singularly perturbed geometrical domains, An algebraic calculation method for the acoustic low frequency expansion, Boundary layer method for solving full Maxwell equations in the presence of an electromagnetic inhomogeneity of small diameter, Layer potential techniques in spectral analysis. Part I: Complete asymptotic expansions for eigenvalues of the Laplacian in domains with small inclusions, Multiple scattering of electromagnetic waves by finitely many point-like obstacles, On the perturbation of the electromagnetic energy due to the presence of small inhomogeneities, Augmented Lagrangian for cone constrained topology optimization, Boundary voltage perturbations caused by small conductivity inhomogeneities nearly touching the boundary, Expansion Methods, Mesoscale approximation of the electromagnetic fields, Approximation by multipoles of the multiple acoustic scattering by small obstacles in three dimensions and application to the Foldy theory of isotropic scattering, Small perturbation of a surface: full Maxwell's equations, Modal approximation for strictly convex plasmonic resonators in the time domain: the Maxwell's equations, Reconstructing Fine Details of Small Objects by Using Plasmonic Spectroscopic Data. Part II: The Strong Interaction Regime, Asymptotic approximation of the solution of Stokes equations in a domain with highly oscillating boundary, Equivalent multipolar point-source modeling of small spheres for fast and accurate electromagnetic wave scattering computations, A direct sampling method for simultaneously recovering electromagnetic inhomogeneous inclusions of different nature, On the Justification of the Foldy--Lax Approximation for the Acoustic Scattering by Small Rigid Bodies of Arbitrary Shapes, Imaging Polarizable Dipoles, Identification of small inhomogeneities: Asymptotic factorization, Fast Magnetic Resonance Electrical Impedance Tomography with Highly Undersampled Data, Surface plasmon resonance of nanoparticles and applications in imaging
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic property of an eigenfunction of the Laplacian under singular variation of domains - the Neumann condition -
- Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
- Singular variation of domains and eigenvalues of the Laplacian
- Complete asymptotic expansions of solutions of the system of elastostatics in the presence of an inclusion of small diameter and detection of an inclusion
- Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. II: The full Maxwell equations.
- Eigenvalues of the Laplacian under singular variation of domains -- the Robin problem with obstacle of general shape
- Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence
- A direct impedance tomography algorithm for locating small inhomogeneities
- Partial differential equations. 2: Qualitative studies of linear equations
- Boundary Integral Formulae for the Reconstruction of Imperfections of Small Diameter in an Elastic Medium
- Low frequency corrections to the static effective dielectric constant of a two-dimensional composite material
- Strong Localized Perturbations of Eigenvalue Problems
- Low Frequency Scattering by Local Inhomogeneities
- ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF BOUNDARY VALUE PROBLEMS FOR THE LAPLACE OPERATOR IN DOMAINS WITH SMALL HOLES
- Integral characteristics of elastic inclusions and cavities in the two-dimensional theory of elasticity
- Solution of a boundary value problem for the Helmholtz equation via variation of the boundary into the complex domain
- Spectral Approximation for Compact Operators
- Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction
- Asymptotic behaviour of the eigenvalues of the Dirichlet problem in a domain with a narrow slit
- The Pólya–Szegö matrices in asymptotic models of dilute composites
- Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume
- Recovery of Small Inhomogeneities from the Scattering Amplitude at a Fixed Frequency
- High-Order Terms in the Asymptotic Expansions of the Steady-State Voltage Potentials in the Presence of Conductivity Inhomogeneities of Small Diameter
- Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter
- Asymptotic expansions for eigenvalues in the presence of small inhomogeneities
- The layer potential technique for the inverse conductivity problem
- Dipole Moments in Rayleigh Scattering
- Numerical implementation of an integral equation method for the inverse conductivity problem
- Virtual Mass and Polarization
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
- Asymptotic formulas for steady state voltage potentials in the presence of conductivity imperfections of small area