A Mathematical Study of a Hyperbolic Metamaterial in Free Space
DOI10.1137/21M1404223zbMath1500.35270OpenAlexW3134211628WikidataQ115525519 ScholiaQ115525519MaRDI QIDQ5071214
Maryna Kachanovska, Patrick~jun. Ciarlet
Publication date: 20 April 2022
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m1404223
Klein-Gordon equationMaxwell equationslimiting absorption principleradiation conditionhyperbolic metamaterial
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Electromagnetic theory (general) (78A25) Waves and radiation in optics and electromagnetic theory (78A40) Second-order hyperbolic equations (35L10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
- A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients
- Time harmonic wave diffraction problems in materials with sign-shifting coefficients
- Interpolation of weighted spaces of differentiable functions on \(R^ n\).
- Asymptotic properties of solutions of differential equations with simple characteristics
- The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
- Mathematical models for dispersive electromagnetic waves: an overview
- Stable perfectly matched layers for a cold plasma in a strong background magnetic field
- Superlensing using hyperbolic metamaterials: the scalar case
- The analysis of linear partial differential operators. II: Differential operators with constant coefficients
- Simulating transient wave phenomena in acoustic metamaterials using auxiliary fields
- T-coercivity for scalar interface problems between dielectrics and metamaterials
- Stable perfectly matched layers for a class of anisotropic dispersive models. Part I: necessary and sufficient conditions of stability
- On radiation conditions for rough surface scattering problems
- Spectral theory for Maxwell’s equations at the interface of a metamaterial. Part I: Generalized Fourier transform
- Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
- RADIATION CONDITION FOR A NON-SMOOTH INTERFACE BETWEEN A DIELECTRIC AND A METAMATERIAL
- THE PRINCIPLE OF LIMIT AMPLITUDE
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