An Asymptotic Representation Formula for Scattering by Thin Tubular Structures and an Application in Inverse Scattering
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Publication:4992262
DOI10.1137/20M1369907zbMath1470.35128arXiv2010.00834OpenAlexW3162066464MaRDI QIDQ4992262
Roland Griesmaier, Yves Capdeboscq, Marvin Knöller
Publication date: 8 June 2021
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.00834
Maxwell's equationsasymptotic analysiselectromagnetic scatteringinverse scatteringpolarization tensorasymptotic representation formulathin tubular object
Scattering theory for PDEs (35P25) Asymptotic expansions of solutions to PDEs (35C20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Maxwell equations (35Q61)
Related Items (4)
Maximizing the electromagnetic chirality of thin metallic nanowires at optical frequencies ⋮ Maximizing the Electromagnetic Chirality of Thin Dielectric Tubes ⋮ The topological ligament in shape optimization: a connection with thin tubular inhomogeneities ⋮ Chirality notions and electromagnetic scattering: a mini review
Uses Software
Cites Work
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- A variational algorithm for the detection of line segments
- Uniform asymptotic expansion of the voltage potential in the presence of thin inhomogeneities with arbitrary conductivity
- The mathematical theory of time-harmonic Maxwell's equations. Expansion-, integral-, and variational methods
- A connection between topological ligaments in shape optimization and thin tubular inhomogeneities
- Polarization and moment tensors. With applications to inverse problems and effective medium theory
- Inequalities for electric and elastic polarization tensors with applications to random composites
- Thickness of knots
- Asymptotic formulas for steady state voltage potentials in the presence of thin inhomogeneities. A rigorous error analysis.
- Complete asymptotic expansions of solutions of the system of elastostatics in the presence of an inclusion of small diameter and detection of an inclusion
- Elliptic partial differential equations of second order
- Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. II: The full Maxwell equations.
- Software frameworks for integral equations in electromagnetic scattering based on Calderón identities
- Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence
- A direct impedance tomography algorithm for locating small inhomogeneities
- Small volume asymptotics for anisotropic elastic inclusions
- A general perturbation formula for electromagnetic fields in presence of low volume scatterers
- The domain derivative of time-harmonic electromagnetic waves at interfaces
- A regularized Newton method for locating thin tubular conductivity inhomogeneities
- Reconstruction of thin electromagnetic inclusions by a level-set method
- An Asymptotic Factorization Method for Inverse Electromagnetic Scattering in Layered Media
- Reconstruction of Thin Tubular Inclusions in Three-Dimensional Domains Using Electrical Impedance Tomography
- Thin cylindrical conductivity inclusions in a three-dimensional domain: a polarization tensor and unique determination from boundary data
- Regularity theorems for Maxwell's equations
- Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction
- Numerical Optimization
- The Pólya–Szegö matrices in asymptotic models of dilute composites
- A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction
- Optimal asymptotic estimates for the volume of internal inhomogeneities in terms of multiple boundary measurements
- 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
- Reconstruction of Thin Conductivity Imperfections
- The Theory of Composites
- ON UNIQUENESS FOR TIME HARMONIC ANISOTROPIC MAXWELL'S EQUATIONS WITH PIECEWISE REGULAR COEFFICIENTS
- Finite Element Methods for Maxwell's Equations
- Reconstruction of thin conductivity imperfections, II. The case of multiple segments
- Solving inverse electromagnetic scattering problems via domain derivatives†
- Inverse Acoustic and Electromagnetic Scattering Theory
- Solving Boundary Integral Problems with BEM++
- An Asymptotic Formula for the Displacement Field in the Presence of Thin Elastic Inhomogeneities
- Virtual Mass and Polarization
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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