Cloaking using complementary media for electromagnetic waves
From MaRDI portal
Publication:5107933
DOI10.1051/cocv/2017078zbMath1437.35649arXiv1701.02339OpenAlexW2603527610MaRDI QIDQ5107933
Publication date: 29 April 2020
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.02339
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Second-order elliptic equations (35J15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Electromagnetic theory (general) (78A25) Waves and radiation in optics and electromagnetic theory (78A40) Resonance in context of PDEs (35B34)
Related Items (10)
Negative index materials and their applications: recent mathematics progress ⋮ Cloaking Property of a Plasmonic Structure in Doubly Complementary Media and Three-Sphere Inequalities with Partial Data ⋮ A new minimizing-movements scheme for curves of maximal slope ⋮ Limiting absorption principle and well-posedness for the time-harmonic Maxwell equations with anisotropic sign-changing coefficients ⋮ On the Discreteness of Transmission Eigenvalues for the Maxwell Equations ⋮ Negative index materials: some mathematical perspectives ⋮ Cloaking using complementary media for the Helmholtz equation and a three spheres inequality for second order elliptic equations ⋮ The Weyl law of transmission eigenvalues and the completeness of generalized transmission eigenfunctions ⋮ The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations ⋮ The invisibility via anomalous localized resonance of a source for electromagnetic waves
Cites Work
- Approximate cloaking for the full wave equation via change of variables: the Drude-Lorentz model
- Cloaking using complementary media in the quasistatic regime
- Cloaking via anomalous localized resonance for doubly complementary media in the quasistatic regime
- An optimization-based numerical method for diffusion problems with sign-changing coefficients
- Discreteness of interior transmission eigenvalues revisited
- Electromagnetic wave propagation in media consisting of dispersive metamaterials
- A direct boundary integral equation method for transmission problems
- Inverse acoustic and electromagnetic scattering theory.
- Superlensing using complementary media and reflecting complementary media for electromagnetic waves
- Superlensing using hyperbolic metamaterials: the scalar case
- On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
- Remarks on a transmission problem
- Some remarks on the characterization of the space of tangential traces of \(H(\text{rot}; \Omega)\) and the construction of an extension operator
- Cloaking via anomalous localized resonance. A connection between the localized resonance and the blow up of the power for doubly complementary media
- Superlensing using complementary media
- A variational perspective on cloaking by anomalous localized resonance
- Cloaking using complementary media for the Helmholtz equation and a three spheres inequality for second order elliptic equations
- Anomalous localized resonance using a folded geometry in three dimensions
- T-coercivity for scalar interface problems between dielectrics and metamaterials
- Cloaking of Small Objects by Anomalous Localized Resonance
- Quantitative uniqueness estimate for the Maxwell system with Lipschitz anisotropic media
- On the cloaking effects associated with anomalous localized resonance
- The stability for the Cauchy problem for elliptic equations
- Spectral theory for Maxwell’s equations at the interface of a metamaterial. Part I: Generalized Fourier transform
- ON UNIQUENESS FOR TIME HARMONIC ANISOTROPIC MAXWELL'S EQUATIONS WITH PIECEWISE REGULAR COEFFICIENTS
- Localized and complete resonance in plasmonic structures
- Asymptotic behavior of solutions to the Helmholtz equations with sign changing coefficients
- Cloaking an Arbitrary Object via Anomalous Localized Resonance: The Cloak is Independent of the Object
This page was built for publication: Cloaking using complementary media for electromagnetic waves
