Electromagnetic wave propagation in media consisting of dispersive metamaterials

DOI10.1016/j.crma.2018.05.012zbMath1394.78004arXiv1710.08648OpenAlexW2963532967MaRDI QIDQ721032

Hoai-Minh Nguyen, Valentin Vinoles

Publication date: 18 July 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08648

zbMATH Keywords

regularityMaxwell's equationsDrude's and Lorentz' models

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Electromagnetic theory (general) (78A25) Waves and radiation in optics and electromagnetic theory (78A40) Maxwell equations (35Q61)

Related Items

Cloaking Property of a Plasmonic Structure in Doubly Complementary Media and Three-Sphere Inequalities with Partial Data ⋮ Asymptotic behavior of dispersive electromagnetic waves in bounded domains ⋮ Simulating transient wave phenomena in acoustic metamaterials using auxiliary fields ⋮ Cloaking using complementary media for electromagnetic waves ⋮ On finding a penetrable obstacle using a single electromagnetic wave in the time domain ⋮ Approximate cloaking using transformation optics for acoustic and electromagnetic waves ⋮ Negative index materials: some mathematical perspectives ⋮ Approximate cloaking for the heat equation via transformation optics ⋮ Approximate Cloaking for Time-dependent Maxwell Equations via Transformation Optics

Uses Software

• FreeFem++

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Limiting absorption principle and well-posedness for the Helmholtz equation with sign changing coefficients
• 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
• A direct boundary integral equation method for transmission problems
• Mathematical models for dispersive electromagnetic waves: an overview
• Superlensing using hyperbolic metamaterials: the scalar case
• Remarks on a transmission problem
• Superlensing using complementary media
• Spectral theory of time dispersive and dissipative systems
• T-coercivity for scalar interface problems between dielectrics and metamaterials
• Causality and dispersion relations for fixed momentum transfer
• On the cloaking effects associated with anomalous localized resonance
• Spectral theory for Maxwell’s equations at the interface of a metamaterial. Part I: Generalized Fourier transform
• New development in freefem++
• Macroscopic Maxwell’s equations and negative index materials
• Asymptotic behavior of solutions to the Helmholtz equations with sign changing coefficients
• Generalized impedance boundary conditions for strongly absorbing obstacle: The full wave equation
• Cloaking an Arbitrary Object via Anomalous Localized Resonance: The Cloak is Independent of the Object
• A proof of superlensing in the quasistatic regime, and limitations of superlenses in this regime due to anomalous localized resonance
• Volterra integral and differential equations