Approximate Cloaking for Time-dependent Maxwell Equations via Transformation Optics (Q5238033)

scientific article; zbMATH DE number 7122647

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English	Approximate Cloaking for Time-dependent Maxwell Equations via Transformation Optics	scientific article; zbMATH DE number 7122647

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instance of

scholarly article

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title

Approximate Cloaking for Time-dependent Maxwell Equations via Transformation Optics (English)

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SIAM Journal on Mathematical Analysis

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publication date

28 October 2019

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full work available at URL

https://arxiv.org/abs/1901.04330

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zbMATH Keywords

cloaking

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transformation optics

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Maxwell's equations

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radiation condition

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MaRDI profile type

MaRDI publication profile

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cites work

Some remarks on the characterization of the space of tangential traces of \(H(\text{rot}; \Omega)\) and the construction of an extension operator

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Enhancement of near-cloaking. II: The Helmholtz equation

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Enhancement of Near Cloaking for the Full Maxwell Equations

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Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. II: The full Maxwell equations.

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ON UNIQUENESS FOR TIME HARMONIC ANISOTROPIC MAXWELL'S EQUATIONS WITH PIECEWISE REGULAR COEFFICIENTS

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On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.

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Q4602960

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A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains

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Full and partial cloaking in electromagnetic scattering

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Finite Element Methods for Navier-Stokes Equations

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Full-wave invisibility of active devices at all frequencies

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On nonuniqueness for Calderón's inverse problem

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Enhanced approximate cloaking by optimal change of variables

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GENERALIZED IMPEDANCE BOUNDARY CONDITIONS FOR SCATTERING PROBLEMS FROM STRONGLY ABSORBING OBSTACLES: THE CASE OF MAXWELL'S EQUATIONS

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Analysis of an enhanced approximate cloaking scheme for the conductivity problem

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The mathematical theory of time-harmonic Maxwell's equations. Expansion-, integral-, and variational methods

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Cloaking via change of variables for the Helmholtz equation

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The Blow-up of Electromagnetic Fields in 3-Dimensional Invisibility Cloaking for Maxwell's Equations

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Optical Conformal Mapping

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Q5634306

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On the cloaking effects associated with anomalous localized resonance

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An inequality for the reduced wave operator and the justification of geometrical optics

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Cloaking via change of variables for the Helmholtz equation in the whole space

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Approximate cloaking for the Helmholtz equation via transformation optics and consequences for perfect cloaking

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Cloaking via anomalous localized resonance for doubly complementary media in the quasistatic regime

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Cloaking using complementary media in the quasistatic regime

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Cloaking an Arbitrary Object via Anomalous Localized Resonance: The Cloak is Independent of the Object

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Superlensing using complementary media and reflecting complementary media for electromagnetic waves

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Approximate cloaking for the heat equation via transformation optics

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A representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity

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Full range scattering estimates and their application to cloaking

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Approximate Cloaking for the Full Wave Equation via Change of Variables

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Approximate cloaking for the full wave equation via change of variables: the Drude-Lorentz model

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Electromagnetic wave propagation in media consisting of dispersive metamaterials

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Generalized impedance boundary conditions for strongly absorbing obstacle: The full wave equation

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Approximate cloaking for electromagnetic waves via transformation optics: Cloaking versus infinite energy

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Quantitative uniqueness estimate for the Maxwell system with Lipschitz anisotropic media

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Controlling Electromagnetic Fields

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Unique Continuation for Elliptic Equations

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Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter

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A local compactness theorem for Maxwell's equations

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A rigorous analysis of high-order electromagnetic invisibility cloaks

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The boundary conditions for point transformed electromagnetic invisibility cloaks

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Identifiers

zbMATH Open document ID

1428.35567

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DOI

10.1137/18M1232395

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5238033