Resonant and anti-resonant frequency dependence of the effective parameters of metamaterials
arXiv:cond-mat/0307361 · doi:10.1103/PhysRevE.68.065602
Abstract
We present a numerical study of the electromagnetic response of the metamaterial elements that are usedto construct materials with negative refractive index. For an array of split ring resonators (SRR) we find that the resonant behavior of the effective magnetic permeability is accompanied by an anti-resonant behavior of the effective permittivity. In addition, the imaginary parts of the effective permittivity and permeability are opposite in sign. We also observe an identical resonant versus anti-resonant frequency dependence of the effective materials parameters for a periodic array of thin metallic wires with cuts placed periodically along the length of the wire, with roles of the permittivity and permeability reversed from the SRR case. We show in a simple manner that the finite unit cell size is responsible for the anti-resonant behavior.
References in corpus (5)
- Determination of Effective Permittivity and Permeability of Metamaterials from Reflection and Transmission Coefficients
- Numerical studies of left-handed materials and arrays of split ring resonators
- Sign of refractive index and group velocity in left-handed media
- Transmission Losses in Left-handed Materials
- Absorption losses in periodic arrays of thin metallic wires
Cited by in corpus (40)
- Electric coupling to the magnetic resonance of split ring resonators
- A gradient index metamaterial
- First-Principle Homogenization Theory for Periodic Metamaterials
- Effective medium theory of left-handed materials
- Impact of the inherent periodic structure on the effective medium description of left-handed and related meta-materials
- Dual-Band Negative Index Metamaterial: Double-Negative at 813 nm and Single-Negative at 772 nm
- Restoring the Physical Meaning of Metamaterial Constitutive Parameters
- Isotropic three-dimensional left-handed meta-materials
- Electromagnetically induced left-handedness in a dense gas of three level atoms
- Negative index metamaterial combining magnetic resonators with metal films
- Generalized effective-medium theory for metamaterials
- Frequency-domain simulations of a negative-index material with embedded gain
- Observation of optical gyromagnetic properties in a magneto-plasmonic metamaterial
- Bloch-mode analysis for retrieving effective parameters of metamaterials
- Q-based design equations for resonant metamaterials and experimental validation
- Resolving the wave-vector in negative refractive media: The sign of
- Retrieval of material parameters for uniaxial metamaterials
- Electronically reconfigurable metal-on-silicon metamaterial
- On the Definition of Effective Permittivity and Permeability For Thin Composite Layers
- Surface plasmon driven scalable low-loss negative-index metamaterials at visible spectrum
- Dual-band, double-negative, polarization-independent metamaterial for the visible spectrum
- Retrieving effective material parameters of metamaterials characterized by nonlocal constitutive relations
- Canonical quantization of macroscopic electrodynamics in a linear, inhomogeneous magneto-electric medium
- Theoretical and numerical analysis of current-driven electromagnetic homogenization and the problem of effective medium parameters for finite samples
- 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
- Omega Transmission Lines with Applications to Effective Medium Models of Metamaterials
- A metasurface with bidirectional hyperbolic surface modes and positionsensing applications
- Terahertz magnetic field enhancement in an asymmetric spiral metamaterial
- Effective optical constants in stratified metal-dielectric metameterial
- Ultra-high terahertz index in deep subwavelength coupled bi-layer free-standing flexible metamaterials
- Interferometric description of optical metamaterials
- Nonlinear absorption in dielectric metamaterials
- The Complex Permeability of Split-Ring Resonator Arrays Measured at Microwave Frequencies
- Diamagnetism and the dispersion of the magnetic permeability
- Negative index and mode coupling in all-dielectric metamaterials at terahertz frequencies
- Probing Split-Ring Resonator Permeabilities with Loop-Gap Resonators
- Design of double-negative metamaterials using single-layer plasmonic structures
- Hierarchical self-assembly of nanoparticles for optical metamaterials
- Antiresonances and Ultrafast Resonances in a Twin Photonic Oscillator