Engineering Electromagnetic Properties of Periodic Nanostructures Using Electrostatic Resonances

Abstract

Electromagnetic properties of periodic two-dimensional sub-wavelength structures consisting of closely-packed inclusions of materials with negative dielectric permittivity $\epsilon$ in a dielectric host with positive ${\epsilon }_h$ can be engineered using the concept of multiple electrostatic resonances. Fully electromagnetic solutions of Maxwell's equations reveal multiple wave propagation bands, with the wavelengths much longer than the nanostructure period. It is shown that some of these bands are described using the quasi-static theory of the effective dielectric permittivity ${\epsilon }_{qs}$, and are independent of the nanostructure period. Those bands exhibit multiple cutoffs and resonances which are found to be related to each other through a duality condition. An additional propagation band characterized by a negative magnetic permeability develops when a magnetic moment is induced in a given nano-particle by its neighbors. Imaging with sub-wavelength resolution in that band is demonstrated.

References in corpus (1)

• Limitations on Sub-Diffraction Imaging with a Negative Refractive Index Slab

Cited by in corpus (22)

• Light scattering and surface plasmons on small spherical particles
• Wide-angle infrared absorber based on negative index plasmonic metamaterial
• Negative effective permeability and left-handed materials at optical frequencies
• Nanowire metamaterials with extreme optical anisotropy
• Optical Nanotransmission Lines: Synthesis of Planar Left-Handed Metamaterials in the Infrared and Visible Regimes
• Non-magnetic nano-composites for optical and infrared negative refraction index media
• Dynamical Theory of Artificial Optical Magnetism Produced by Rings of Plasmonic Nanoparticles
• Induced transparency by coupling of Tamm and defect states in tunable terahertz plasmonic crystals
• Complex k band diagrams of 3D metamaterial/photonic crystals
• Optimizing the Superlens: manipulating geometry to enhance the resolution
• Photonic crystals as metamaterials
• Finite-difference frequency-domain method for the extraction of effective parameters of metamaterials
• A polarized beam splitter using an anisotropic medium slab
• Construction of a polarization insensitive lens from a quasi-isotropic metamaterial slab
• Magnetic levitation of metamaterial bodies enhanced with magnetostatic surface resonances
• Sub-Wavelength Plasmonic Crystals: Dispersion Relations and Effective Properties
• Self-Induced Quasistationary Magnetic Fields
• Resonant transparency of materials with negative permittivity
• Superfocusing by Nano-Shells
• Quasi-Homogeneous Backward-Wave Plasmonic Structures: Theory and Accurate Simulation
• Mechanism of the Fano resonance in a planar metamaterials: Analysis from the coupled two-oscillator model
• Design of double-negative metamaterials using single-layer plasmonic structures