Theory of mesoscopic magnetism in meta-materials

Abstract

We provide a rigorous theoretical basis for the artificial magnetic activity of meta-materials near resonances. Our approach is a renormalization-based scheme that authorises a completely general theory. The major result is an explicit expression of the effective permeability, in terms of resonant frequencies. The theoretical results are checked numerically and we give applications of our theory to Left-Handed Media and to the solution of the Pokrovski-Efros paradox.

4 pages, submitted to Phys. Rev. Lett

References in corpus (3)

• Electrodynamics of metallic photonic crystals and problem of left-handed materials
• Absorption losses in periodic arrays of thin metallic wires
• Resonance-Induced Effects in Photonic Crystals

Cited by in corpus (18)

• All-Dielectric Rod-Type Metamaterials at Optical Frequencies
• Nonlocal homogenization theory in metamaterials: effective electromagnetic spatial dispersion and artificial chirality
• Multiple Scattering Formulation of Two Dimensional Acoustic and Electromagnetic Metamaterials
• Short-Pulsed Metamaterials
• Minimization variational principles for acoustics, elastodynamics, and electromagnetism in lossy inhomogeneous bodies at fixed frequency
• Realizability of metamaterials with prescribed electric permittivity and magnetic permeability tensors
• Homogenization near resonances and artificial magnetism in 3D dielectric metamaterials
• Theoretical and numerical analysis of current-driven electromagnetic homogenization and the problem of effective medium parameters for finite samples
• Tunable Double Negative Band Structure from Non-Magnetic Coated Rods
• Sub-Wavelength Plasmonic Crystals: Dispersion Relations and Effective Properties
• Mesoscopic magnetism in dielectric photonic crystal meta materials: topology and inhomogeneous broadening
• Homogenization of nonlocal wire metamaterial via a renormalization approach
• Enhanced nonlocal effects in metamaterials with moderate-index inclusions
• A quantum way for metamaterials
• Spectral analysis of metamaterials in curved manifolds
• Homogenization of Metamaterials by Dual Interpolation of Fields: a Rigorous Treatment of Resonances and Nonlocality
• Artificial magnetism and magnetoelectric coupling from dielectric layers
• Diamagnetic nature of stratified thin metals in visible range