Complex k band diagrams of 3D metamaterial/photonic crystals.

@article{Fietz2011ComplexKB,
  title={Complex k band diagrams of 3D metamaterial/photonic crystals.},
  author={Chris R Fietz and Yaroslav A. Urzhumov and Gennady Shvets},
  journal={Optics express},
  year={2011},
  volume={19 20},
  pages={
          19027-41
        }
}
A finite element method (FEM) for solving a complex valued k(ω) vs. ω dispersion curve of a 3D metamaterial/photonic crystal system is presented. This 3D method is a generalization of a previously reported 2D eigenvalue method [Opt. Express 15, 9681 (2007)]. This method is particularly convenient for analyzing periodic systems containing dispersive (e.g., plasmonic) materials, for computing isofrequency surfaces in the k-space, and for calculating the decay length of the evanescent waves. Two… Expand
Complex K-Bands Calculation for Plasmonic Crystal Slabs By Means of Weak Formulation of Helmholtz's Eigenvalue Equation
We present a Finite Element Method (FEM) to calculate the complex valued k(ω) dispersion curves of a photonic crystal slab in presence of both dispersive and lossy materials. In particular the methodExpand
Complex Bloch-modes calculation of plasmonic crystal slabs by means of finite elements method
We present a Finite Element Method (FEM) to calculate the complex valued k(ω) dispersion curves of a photonic crystal slab in presence of both dispersive and lossy materials. In particular the methodExpand
Finite-difference complex-wavevector band structure solver for analysis and design of periodic radiative microphotonic structures.
TLDR
A finite-difference approach to complex-wavevector band structure simulation and its use as a tool for the analysis and design of periodic leaky-wave photonic devices is demonstrated and the first direct solution of the recently proposed open-system low-loss Bloch modes is shown. Expand
Band diagrams of layered plasmonic metamaterials
We introduce a method to map the band diagrams, or equipotential contours (EPCs), of any layered plasmonic metamaterial using a general expression for the Poynting vector in a lossy layered medium ofExpand
Effective medium representation and complex modes in 3D periodic metamaterials made of cubic resonators with large permittivity at mid-infrared frequencies
Abstract We review some of the techniques that lead to the effective medium representation of a three-dimensional (3D) periodic metamaterial. We consider a 3D lattice of lead telluride cubicExpand
Numerical investigation of the flat band Bloch modes in a 2D photonic crystal with Dirac cones.
TLDR
A numerical method combining complex-k band calculations and absorbing boundary conditions for Bloch waves is presented and it is demonstrated that the photonic crystal behaves as a zero-index medium when excited at normal incidence, but that the zero- index behavior is lost at oblique incidence due to excitation of modes on the flat band. Expand
A Novel Eigenvalue Algorithm for the Complex Band Structure and Eigenmodes of Plasmonic Crystals
The influence of ohmic (metallic) loss on the complex band structure (BS) and eigenmodes of 2-D plasmonic crystals is investigated. With the help of wave equations and periodic boundary conditions, aExpand
Title A Novel Eigenvalue Algorithm for the Complex Band Structureand Eigenmodes of Plasmonic Crystals
The influence of ohmic (metallic) loss on the complex band structure (BS) and eigenmodes of 2-D plasmonic crystals is investigated. With the help of wave equations and periodic boundary conditions, aExpand
E-B Eigenmode Formulation for the Analysis of Lossy and Evanescent Modes in Periodic Structures and Metamaterials
We present here a 3-D E-B linear eigenmode formulation for the analysis of periodic structures, including lossy periodic waveguides, photonic crystals, and metamaterials. The proposed finite-elementExpand
Finite element method analysis of band gap and transmission of two-dimensional metallic photonic crystals at terahertz frequencies.
TLDR
The photonic band gap designs for both dielectric and metallic photonic crystals are consistent with previous studies obtained by different methods and perfect match is obtained between photonicBand gap diagrams and transmission spectra of corresponding lattice structure. Expand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 56 REFERENCES
The complex Bloch bands of a 2D plasmonic crystal displaying isotropic negative refraction.
TLDR
A wave interference effect that leads to transmission resonances similar to Fano resonances, as well as on the isotropy of the crystal's negative index band, indicate that effective propagation constants obtained from scattering simulations may not always be directly related to individual crystal Bloch bands. Expand
Computations of lossy Bloch waves in two-dimensional photonic crystals
In this article we compute lossy Bloch waves in two-dimensional photonic crystals with dispersion and material loss. For given frequencies these waves are determined from non-linear eigenvalueExpand
Tunneling in photonic band structures
The plane-wave method is modified for tunneling evanescent solutions of Maxwell’s equations with complex k vectors (tunneling modes). In our formulation the imaginary part of the k vectors is notExpand
Photonic band structures solved by a plane-wave-based transfer-matrix method.
  • Zhi-yuan Li, Lan-Lan Lin
  • Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2003
TLDR
Application of the transfer-matrix technique to an important class of 3D layer-by-layer photonic crystals reveals the superior convergency of this different approach over the conventional plane-wave expansion method. Expand
Fishnet metamaterials--rules for refraction and limits of homogenization.
TLDR
The perfectly conducting stacked fishnet metamaterial is studied, showing that only for small angles of incidence and in the immediate vicinity of Wood's anomaly can the fishnet be seen as homogenizable uniaxial medium. Expand
Effective Constitutive Parameters of Plasmonic Metamaterials: A Direct Approach
We introduce a general implementation of the recently proposed homogenization theory [Tsukerman, J. Opt. Soc. Am. B 28, 577 (2011)] allowing one to retrieve all 36 linear constitutive parameters ofExpand
Behavior of light at photonic crystal interfaces
Band structures and Bloch modes give a generalized description of light in infinite photonic crystals. We show that the band structure and Bloch modes also contain the information necessary to findExpand
Spatial dispersion in metamaterials with negative dielectric permittivity and its effect on surface waves.
TLDR
Spatial dispersion is found to have the most dramatic effect on the surface waves that exist at the wire mesh-vacuum interface. Expand
Three-dimensional optical metamaterial with a negative refractive index
TLDR
Bulk optical metamaterials open up prospects for studies of 3D optical effects and applications associated with NIMs and zero-index materials such as reversed Doppler effect, superlenses, optical tunnelling devices, compact resonators and highly directional sources. Expand
Bloch material parameters of magneto-dielectric metamaterials and the concept of Bloch lattices
Abstract Metamaterials comprising lattices of small resonant scatterers and (optionally) infinite wires are considered. The crystal planes of these lattices contain magnetic dipoles and electricExpand
...
1
2
3
4
5
...