Analysis of an approximate cloaking for acoustic scattering problems in \(\mathbb R^3\)

DOI10.1016/j.amc.2013.12.171zbMath1410.35286OpenAlexW2128564834MaRDI QIDQ1646082

Seungil Kim

Publication date: 22 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.12.171

zbMATH Keywords

acoustic cloakingspherical Hankel functionssingular transformationspherical Bessel functionsspherical harmonic functions

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Cites Work

• Unnamed Item
• Full-wave invisibility of active devices at all frequencies
• Inverse acoustic and electromagnetic scattering theory.
• On nonuniqueness for Calderón's inverse problem
• Controlling Electromagnetic Fields
• Acoustic cloaking theory
• Cloaking via change of variables for the Helmholtz equation
• Cloaking Devices, Electromagnetic Wormholes, and Transformation Optics
• The Calderón problem for conormal potentials I: Global uniqueness and reconstruction
• Finite Element Methods for Maxwell's Equations
• Cloaking via change of variables for the Helmholtz equation in the whole space
• Asymptotically precise norm estimates of scattering from a small circular inhomogeneity
• Cloaking via change of variables in electric impedance tomography
• Invisibility and inverse problems

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