Solving inverse electromagnetic scattering problems via domain derivatives†

DOI10.1088/1361-6420/ab10cbzbMath1447.35380OpenAlexW2922291487MaRDI QIDQ5228009

Frank Hettlich, Timo Betcke, Felix Hagemann, Tilo Arens

Publication date: 8 August 2019

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6420/ab10cb

zbMATH Keywords

boundary element methoddomain derivativesinverse electromagnetic-scattering problem

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (8)

Local multiple traces formulation for electromagnetics: stability and preconditioning for smooth geometries ⋮ A novel quantitative inverse scattering scheme using interior resonant modes ⋮ Maximizing the electromagnetic chirality of thin metallic nanowires at optical frequencies ⋮ Spectral stability of the curlcurl operator via uniform Gaffney inequalities on perturbed electromagnetic cavities ⋮ Application of the second domain derivative in inverse electromagnetic scattering ⋮ Maximizing the Electromagnetic Chirality of Thin Dielectric Tubes ⋮ An Asymptotic Representation Formula for Scattering by Thin Tubular Structures and an Application in Inverse Scattering ⋮ Chirality notions and electromagnetic scattering: a mini review

Uses Software

• BEM++

Cites Work

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• Boundary element methods for Maxwell transmission problems in Lipschitz domains
• Software frameworks for integral equations in electromagnetic scattering based on Calderón identities
• On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
• Fast methods for three-dimensional inverse obstacle scattering problems
• The domain derivative of time-harmonic electromagnetic waves at interfaces
• Shape derivatives for scattering problems
• Finite Element Methods for Maxwell's Equations
• Solving Boundary Integral Problems with BEM++
• Inverse acoustic and electromagnetic scattering theory

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