Far field broadband approximate cloaking for the Helmholtz equation with a Drude-Lorentz refractive index

DOI10.1016/j.matpur.2023.12.001arXiv2304.09461OpenAlexW4389398218MaRDI QIDQ6188320

Narek Hovsepyan, Fioralba Cakoni, Michael S. Vogelius

Publication date: 7 February 2024

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.09461

zbMATH Keywords

Helmholtz equationDrude-Lorentz modelapproximate cloaking

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• Approximate cloaking for the full wave equation via change of variables: the Drude-Lorentz model
• Transmission eigenvalues for inhomogeneous media containing obstacles
• Full range scattering estimates and their application to cloaking
• Full-wave invisibility of active devices at all frequencies
• On nonuniqueness for Calderón's inverse problem
• The interior transmission eigenvalue problem for elastic waves in media with obstacles
• On the regularity of non-scattering anisotropic inhomogeneities
• Approximate Cloaking for the Full Wave Equation via Change of Variables
• Optical Conformal Mapping
• Controlling Electromagnetic Fields
• Approximate cloaking for the Helmholtz equation via transformation optics and consequences for perfect cloaking
• The boundary conditions for point transformed electromagnetic invisibility cloaks
• Cloaking via change of variables for the Helmholtz equation
• Cloaking via change of variables for the Helmholtz equation in the whole space
• On optimal cloaking-by-mapping transformations
• Classical Fourier Analysis
• Inverse Acoustic and Electromagnetic Scattering Theory
• Asymptotically precise norm estimates of scattering from a small circular inhomogeneity
• Bounds on Herglotz functions and fundamental limits of broadband passive quasistatic cloaking
• Enhancement of Near Cloaking for the Full Maxwell Equations
• Enhanced approximate cloaking by optimal change of variables
• A rigorous analysis of high-order electromagnetic invisibility cloaks
• Cloaking via change of variables in electric impedance tomography
• Invisibility and inverse problems

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