Determination of Effective Permittivity and Permeability of Metamaterials from Reflection and Transmission Coefficients
arXiv:physics/0111203 · doi:10.1103/PhysRevB.65.195104
Abstract
We analyze the reflection and transmission coefficients calculated from transfer matrix simulations on finite lenghts of electromagnetic metamaterials, to determine the effective permittivity and permeability. We perform this analysis on structures composed of periodic arrangements of wires, split ring resonators (SRRs) and both wires and SRRs. We find the recovered frequency-dependent permittivity and permeability are entirely consistent with analytic expressions predicted by effective medium arguments. Of particular relevance are that a wire medium exhibits a frequency region in which the real part of permittivity is negative, and SRRs produce a frequency region in which the real part of permeability is negative. In the combination structure, at frequencies where both the recovered real part of permittivity and permeability are simultaneously negative, the real part of the index-of-refraction is found also to be unambigously negative.
*.pdf file, 5 figures
References in corpus (2)
Cited by in corpus (200)
- A Perfect Metamaterial Absorber
- Past Achievements and Future Challenges in 3D Photonic Metamaterials
- Negative Index of Refraction in Optical Metamaterials
- A metamaterial absorber for the terahertz regime: Design, fabrication and characterization
- Demonstration of Near-Infrared Negative-Index Materials
- An Infrared Spatial and Frequency Selective Metamaterial Perfect Absorber
- Magnetic light
- Electromagnetic Wave Propagation in Media with Indefinite Permittivity and Permeability Tensors
- Magnetic metamaterials at telecommunication and visible frequencies
- Negative-index metamaterial at 780 nm wavelength
- Resonant and anti-resonant frequency dependence of the effective parameters of metamaterials
- Electric coupling to the magnetic resonance of split ring resonators
- Cut-wire pairs and plate pairs as magnetic atoms for optical metamaterials
- Infrared Dielectric Resonator Metamaterial
- Wide-angle infrared absorber based on negative index plasmonic metamaterial
- A unifying approach to left handed material design
- Refraction at Media with Negative Refractive Index
- Guided Modes in Negative Refractive Index Waveguides
- Effective medium theory of left-handed materials
- Large-area, wide-angle, spectrally selective plasmonic absorber
- Impact of the inherent periodic structure on the effective medium description of left-handed and related meta-materials
- Overcoming losses with gain in a negative refractive index metamaterial
- Negative refraction and left-handed behavior in two-dimensional photonic crystals
- Conjugated gammadion chiral metamaterial with uniaxial optical activity and negative refractive index
- A Metamaterial Homogenization Approach with Application to the Characterization of Microstructured Composites with Negative Parameters
- Chiral metamaterials: retrieval of the effective parameters with and without substrate
- Hyperbolic Metamaterials: From Dispersion Manipulation to Application
- A negative permeability material at red light
- Dual-Band Negative Index Metamaterial: Double-Negative at 813 nm and Single-Negative at 772 nm
- A review of the scattering parameter extraction method with clarification of ambiguity issues in relation to metamaterial homogenization
- EM wave propagation in two-dimensional photonic crystals: a study of anomalous refractive effects
- Experimental demonstration of negative index of refraction
- Negative Refractive Index in Optics of Metal-Dielectric Composites
- Self-consistent calculation of metamaterials with gain
- Three-dimensional metamaterials with an ultra-high effective refractive index over broad bandwidth
- Terahertz metamaterials on free-standing highly-flexible polyimide substrates
- Yellow-light Negative-index Metamaterials
- Multimode directionality in all-dielectric metasurfaces
- Validity of effective material parameters for optical fishnet metamaterials
- Plasmonic Metamaterials
- Nonlinear terahertz metamaterials via field-enhanced carrier dynamics in GaAs
- Tungsten based metasurface absorber for visible regime
- Effective medium theory for anisotropic metamaterials
- Negative index metamaterial combining magnetic resonators with metal films
- Interplay of magnetic responses in all-dielectric oligomers to realize magnetic Fano resonances
- Reducing Ohmic Losses in Metamaterials by Geometric Tailoring
- Analysis of Nonlinear Electromagnetic Metamaterials
- Three dimensional photonic Dirac points in metamaterials
- Ferromagnetic Wires Composite Media with Tunable Scattering Spectra at Microwaves
- An efficient way to reduce losses of left-handed metamaterials
- Tunable fishnet metamaterials infiltrated by liquid crystals
- Self-consistent calculations of loss compensated fishnet metamaterials
- Lasing in metamaterial nanostructures
- Theory of fishnet negative-index optical metamaterials
- Optical Metamaterials at Near and Mid IR Range Fabricated by Nanoimprint Lithography
- Low-damping epsilon-near-zero slabs: nonlinear and nonlocal optical properties
- Free-Space Imaging Beyond the Diffraction Limit Using a Veselago-Pendry Transmission-Line Superlens
- Effective material parameter retrieval for thin sheets: theory and application to graphene, thin silver films, and single-layer metamaterials
- Boundary Effects on the Determination of Metamaterial Parameters from Normal Incidence Reflection and Transmission Measurements
- Polarizability Extraction for Waveguide-Fed Metasurfaces
- Electromagnetic energy in a dispersive metamaterial
- Gain and plasmon dynamics in negative-index metamaterials
- Negative-index bi-anisotropic photonic metamaterial fabricated by direct laser writing and silver shadow evaporation
- Broadband chiral metamaterials with large optical activity
- Comparison of Chiral Metamaterial Designs for Repulsive Casimir Force
- Nonlocal homogenization theory in metamaterials: effective electromagnetic spatial dispersion and artificial chirality
- Generalized effective-medium theory for metamaterials
- Electromagnetic Composites: from Effective Medium Theories to Metamaterials
- Frequency-domain simulations of a negative-index material with embedded gain
- Numerical simulations of negative-index refraction in wedge-shaped metamaterials
- Electromagnetic field energy density in artificial microwave materials with negative parameters
- Anisotropy and oblique total transmission at a planar negative-index interface
- Theory of light amplification in active fishnet metamaterials
- Bloch-mode analysis for retrieving effective parameters of metamaterials
- Sign of refractive index and group velocity in left-handed media
- Designing hybrid graphene oxide- gold nanoparticles for nonlinear optical response: Experiment and theory
- Dielectric photonic crystal as medium with negative electric permittivity and magnetic permeability
- Magnetic response of nanoscale left-handed metamaterials
- Q-based design equations for resonant metamaterials and experimental validation
- Electromagnetic characterization of bianisotropic metasurfaces on refractive substrates: General theoretical framework
- Channel Customization for Joint Tx-RISs-Rx Design in Hybrid mmWave Systems
- Theoretical formalism for collective electromagnetic response of discrete metamaterial systems
- Intra-connected three-dimensionally isotropic bulk negative index photonic metamaterial
- Homogenization of resonant chiral metamaterials
- Creating double negative index materials using the Babinet principle with one metasurface
- Substrate-induced bianisotropy in metamaterials
- Zak phase and band inversion in dimerized one-dimensional locally resonant metamaterials
- Non-left-handed transmission and bianisotropic effect in a [pi]-shaped metallic metamaterials
- Gain assisted harmonic generation in near-zero permittivity metamaterials made of plasmonic nanoshells
- A New Artificial Dielectric Metamaterial and its Application as a THz Anti-Reflection Coating
- A Dynamical Formulation of One-Dimensional Scattering Theory and Its Applications in Optics
- Bulk Negative Index Photonic Metamaterials for Direct Laser Writing
- Optical metamaterials with different metals
- Nonlinear coupled-mode theory for periodic plasmonic waveguides and metamaterials with loss and gain
- Retrieval of material parameters for uniaxial metamaterials
- Generalized Retrieval Method for Metamaterial Constitutive Parameters Based on a Physically-Driven Homogenization Approach
- Gradient Optics of subwavelength nanofilms
- Modulation of Negative Index Metamaterials in the Near-IR Range
- Low-loss negative refraction by laser induced magneto-electric cross-coupling
- Quantum optical effective-medium theory for loss-compensated metamaterials
- Electronically reconfigurable metal-on-silicon metamaterial
- Vapor-deposited thin films with negative refractive index in the visible regime
- Transmission Losses in Left-handed Materials
- Electromagnetic stress at the boundary: photon pressure or tension?
- Wave Propagation Retrieval Method For Metamaterials: Unambiguous Restoration Of Effective Parameters
- On the Definition of Effective Permittivity and Permeability For Thin Composite Layers
- Metasurface polarization splitter
- Efficient treatment of stacked metasurfaces for optimizing and enhancing the range of accessible optical functionalities
- Finite-difference frequency-domain method for the extraction of effective parameters of metamaterials
- All-optical switching of a dye-doped liquid crystal plasmonic metasurface
- Plasmonic nanoparticle monomers and dimers: From nano-antennas to chiral metamaterials
- An Invisible Metallic Mesh
- Basics of averaging of the Maxwell equations for bulk materials
- Flute-Model Acoustic Metamaterials with Simultaneously Negative Bulk Modulus and Mass Density
- Surface Plasmon Driven Electric and Magnetic Resonators for Metamaterials
- Surface plasmon driven scalable low-loss negative-index metamaterials at visible spectrum
- Absorption losses in periodic arrays of thin metallic wires
- An electromagnetic black hole made of metamaterials
- Electron energy loss and induced photon emission in photonic crystals
- Dual-band, double-negative, polarization-independent metamaterial for the visible spectrum
- High symmetry versus optical isotropy of a negative index metamaterial
- Magnetic metamaterials in the blue range using aluminum nanostructures
- Electrostatic theory for designing lossless negative permittivity metamaterials
- Simplified equivalent circuit approach for designing time-domain responses of waveform-selective metasurfaces
- Relativistic electron energy loss and induced radiation emission in two-dimensional metallic photonic crystals I: formalism and surface plasmon polariton
- Calculating the electromagnetic characteristics of bifacial optical nanomaterials
- Electromagnetic response of a metamaterial with field-gradient-induced transparency
- Terahertz optically tunable dielectric metamaterials without microfabrication
- Losses for microwave transmission in metamaterials for producing left-handed materials: The strip wires
- A metasurface with bidirectional hyperbolic surface modes and positionsensing applications
- Mesoscopic effective material parameters for thin layers modeled as single and double grids of interacting loaded wires
- Hyperbolic Metamaterial Feasible for Fabrication with Direct Laser Writing Processes
- Effective optical constants in stratified metal-dielectric metameterial
- Magnetic levitation of metamaterial bodies enhanced with magnetostatic surface resonances
- Optimization approach for the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions from limited observations
- Ultra-high terahertz index in deep subwavelength coupled bi-layer free-standing flexible metamaterials
- Energy structure, density of states and transmission properties of the periodic 1D Tight-Binding lattice with a generic unit cell of sites
- Characterization of Surface-Plasmon Polaritons at Lossy Interfaces
- General method to retrieve all effective acoustic properties of fully-anisotropic fluid materials in three dimensional space
- Understanding the nonlinear optical response of epsilon near zero materials in the time-domain
- Interferometric description of optical metamaterials
- A modal analysis method to describe weak nonlinear effects in metamaterials
- Absorption-induced transparency metamaterials in the terahertz regime
- Composites of resonant dielectric rods: A test of their behavior as metamaterial refractive elements
- A copper negative index metamaterial in the visible / near-infrared
- Negative Group Velocity from Quadrupole Resonance of Plasmonic Spheres
- On the effective permittivity of finite inhomogeneous objects
- Metamaterials: -classical dynamic homogenization
- Electro-magnetostatic homogenization of bianisotropic metamaterials
- Quantum optical effective-medium theory for layered metamaterials
- Bianisotropic Metasurfaces: Ultra-thin Surfaces for Complete Control of Electromagnetic Wavefronts
- Comment on "Negative Refractive Index in Artificial Metamaterials" [A. N. Grigorenko, Opt. Lett., 31, 2483 (2006)]
- Plasmon-induced nonlinearity enhancement and homogenization of graphene metasurfaces
- Enhanced nonlocal effects in metamaterials with moderate-index inclusions
- Leaky modes of a left-handed slab
- Optically-Nonactive Assorted Helices Array with Interchangeable Magnetic/Electric Resonance
- Overall dynamic properties of locally resonant viscoelastic layered media based on consistent field integration for oblique anti-plane shear waves
- Amplification of light scattering in arrays of nanoholes by plasmonic absorption-induced transparency
- From solar cells to ocean buoys: Wide-bandwidth limits to absorption by metaparticle arrays
- Inverse design of optical pulse shapes for time-varying photonics
- Optical left-handed metamaterials made of arrays of upright split-ring pairs
- Graphical retrieval method for orthorhombic anisotropic materials
- Discontinuous design of negative index metamaterials based on mode hybridization
- An invisibility cloak using silver nanowires
- A Novel Structure for Double Negative NIMs towards UV Spectrum with High FOM
- Negative index and mode coupling in all-dielectric metamaterials at terahertz frequencies
- An effective medium theory for predicting the existence of surface states
- Parity-Time Symmetry and Exceptional points: A Tutorial
- Holographic formation of large area split-ring arrays for magnetic metamaterials
- Intriguing electronic and optical prospects of FCC bimetallic two-dimensional heterostructures: epsilon near-zero behaviour in UV-vis range
- Retrieval of all effective susceptibilities in nonlinear metamaterials
- The role of current loop in harmonic generation from magnetic metamaterials in two polarizations
- Probing Split-Ring Resonator Permeabilities with Loop-Gap Resonators
- Recursive Calculation of the Optical Response of Multicomponent Metamaterials
- Exposing and extending the interior waves field by transformation materials
- Possibility of negative refraction for visible light in disordered all-dielectric resonant high index metasurfaces
- Optical Magnetism: from Red to Blue
- On Negative Index Metamaterial Spacers and Their Unusual Optical Properties
- Direct retrieval method of the effective permittivity and permeability of bulk semi-infinite metamaterials by variable-angle spectroscopic ellipsometry
- Emergence of an Epsilon-Near-Zero Medium from Microscopic Atomic Principles
- Controlling Metamaterial Resonances with Light
- Separable metamaterials: analytical ab-initio homogenization and chirality
- Robust wedge demonstration to optical negative index metamaterials
- Plasmonic multiple exciton generation
- A paraxial cloak with four lenses of different focal lengths
- Optical Magnetic Response in a Single Metal Nanobrick
- Effective-Medium Theory with No Approximation for One Dimensional Metamaterials
- Closed-form formulae of hyperbolic metamaterial made by stacked hole-array layers working at terahertz or microwave radiation
- Near-infrared negative-index metamaterials consisting of multiple layers of perforated metal-dielectric stacks
- Giant magnetodielectric metamaterial
- Diamagnetic nature of stratified thin metals in visible range
- Branch crossing behavior and interface states in 1D Inversion Symmetric Quaternary Photonic Crystals using Effective Medium Theory
- Design of double-negative metamaterials using single-layer plasmonic structures
- Negative superluminal velocity and violation of Kramers-Kronig relations in "causal" optical setups
- Why is the refractive index cannot be negative
- Forward and inverse acoustic scattering problems involving the mass density
- Fractal Interpretation of Bacterial Light Harvesters
- Dynamic Effective Medium Theory for Two-Dimensional Non-Magnetic Metamaterial Lattices using Multipole Expansion
- Inhomogeneous All-Dielectric Magnetic Metamaterials
- Nonreciprocal Local-Resonance Induced Complex Band Hybridization