Scattering coefficients of inhomogeneous objects and their application in target classification in wave imaging

DOI10.1017/S0956792519000160zbMath1505.65288arXiv1806.07841OpenAlexW2956025026MaRDI QIDQ5056716

Lorenzo Baldassari

Publication date: 8 December 2022

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.07841

zbMATH Keywords

scattering coefficientstarget classificationfar-field measurementsinhomogeneous inclusionsfrequency-dependent distribution descriptors

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Optimization problems in optics and electromagnetic theory (78M50)

Uses Software

• GitHub
• SIES

Cites Work

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• Mathematical and statistical methods for multistatic imaging
• Target identification using dictionary matching of generalized polarization tensors
• Reconstruction of inhomogeneous conductivities via the concept of generalized polarization tensors
• Two-dimensional elastic scattering coefficients and enhancement of nearly elastic cloaking
• Super-resolution in imaging high contrast targets from the perspective of scattering coefficients
• Boundary layer techniques for solving the Helmholtz equation in the presence of small inhomogeneities
• Enhancement of near-cloaking. II: The Helmholtz equation
• Phased and Phaseless Domain Reconstructions in the Inverse Scattering Problem via Scattering Coefficients
• Enhancement of near-cloaking. Part III: Numerical simulations, statistical stability, and related questions
• The Concept of Heterogeneous Scattering Coefficients and Its Application in Inverse Medium Scattering
• Shape recognition and classification in electro-sensing
• Mathematical and Computational Methods in Photonics and Phononics
• Shape Identification and Classification in Echolocation
• The generalized polarization tensors for resolved imaging Part II: Shape and electromagnetic parameters reconstruction of an electromagnetic inclusion from multistatic measurements
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Inverse acoustic and electromagnetic scattering theory

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