Photonic band structures of two-dimensional systems containing metallic components

Kuzmiak, Vladimír; Maradudin, A. A.; Pincemin, François

doi:10.1103/physrevb.50.16835

Cited by 230 publications

(122 citation statements)

References 32 publications

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“…For the alternative TE polarization, in which the magnetic field is parallel to the rods, the effective plasma frequency model does not apply and the results are rather similar to those expected for a standard dielectric photonic bandgap structure, apart from the existence of additional, effectively dispersionless, localized plasmon states essentially confined to the surface of individual rods 6,11 .…”

Section: Introductionmentioning

confidence: 59%

“…This approach, however, only works provided that the structure has no components with a frequency-dependent permittivity, and is therefore not really applicable to metallic structures. An extension to the method allowing a frequency-dependent permittivity to be used, was later described by Kuzmiak et al 6 but nevertheless this only applies to a permittivity of the specific form ( )…”

Section: Theory Outlinementioning

confidence: 99%

“…Since the work of Pendry et al a number of alternative simple analytic expressions for the effective plasma frequency have been proposed 3,4,5 . There have also been various other theoretical studies of both the photonic bandstructure for infinite systems 6,7 and transmission calculations in the case of finite structures 8,9 . Experimental results have been reported both in the original work of Pendry et al 2 and also, more recently, by Pimenov and Loidl 10 who investigated arrays of copper and steel wires using broadband terahertz spectroscopy.…”

Section: Introductionmentioning

confidence: 99%

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THz frequency studies of metallic structures

2006

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Publisher's copyright statement:Copyright 2006 Society of Photo-Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic electronic or print reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modi cation of the content of the paper are prohibited. Additional information:Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. ABSTRACTA plane-wave complex photonic bandstructure approach is used to calculate the pass bands as a function of rod diameter for a system consisting of circular metallic rods in a 2-D square lattice. In addition, FDTD calculations are employed to calculate the transmission properties of a finite 6-layer structure of the same form. The results of the two methods are compared and found to be consistent. The effective plasma frequency, the lowest frequency at which propagation can occur in the infinite lattice, is extracted from the bandstructure calculations, and is in the region of 1 THz for the 200 µm period structures considered. The results for the effective plasma frequency are compared to those predicted by several analytic models.

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Section: Introductionmentioning

confidence: 59%

Section: Theory Outlinementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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THz frequency studies of metallic structures

2006

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“…In terms of the plasma PC, the dielectric function of plasma is usually dependent on electromagnetic wave frequency and less than 1; if we control electron plasma frequency by changing electron density, the PBG is controllable; this phenomena has not been realized in conventional PC. Many theoretical and numerical tools have been developed to calculate the dispersion curves of photonic crystals, such as plane wave method (PWM) [11,13,17], finite-difference time-domain (FDTD) method [9,11,18], transfer-matrix method [8,19,20], multiple multipole method [21], and nonperturbative approach [22]. Among these methods, PWM is the most popular technique.…”

Section: Theoretical Model and Modified Plane Wave Methodsmentioning

confidence: 99%

Modified Plane Wave Method Analysis of Dielectric Plasma Photonic Crystal

Qi¹,

Yang²

2009

PIER

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Abstract-Dispersion characteristics of two types of two-dimension dielectric plasma photonic crystal are studied based on modified plane wave method. Firstly, the eigenvalue equations of TM mode of type-1 and type-2 structures are derived respectively; their dispersion curves are confirmed by the software simulation. Secondly, the influences of normalized plasma frequency, filling factor and relative dielectric constant on photonic band gap, and relative photonic band gap width are analyzed respectively, and some corresponding physical explanations are also given. These results would provide theoretical instructions for designing new photonic crystal devices using plasmadielectric structure.

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“…The effective plasma frequency is the minimum value at the lowest band. There are many methods proposed to find the band energy graph [1,[10][11][12][13][14][15][16]. Each method has its own limitation especially when frequency dependant material is considered.…”

Section: Introductionmentioning

confidence: 99%

Effective Plasma Frequency for Two- Dimensional Metallic Photonic Crystals

Low¹,

MatJafri²,

Khan³

2010

PIER M

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Abstract-Generalized band structure equation for photonic crystals which containing dielectric rods in metals medium was derived by using the plane wave expansion method. From the band structure, we can study band gap of photonic crystals in both E and H polarizations. Since metals are frequency-dependant materials, modification needs to be done on the plane wave expansion equation to calculate the metallic photonic crystals containing dielectric constant rods. To ease the calculation, simple Drude model for metals are used. In this model, the equation is without damping constant. We have plotted the band structure for photonic crystals in metals medium. Then, we studied the effective plasma frequency of the structure from the band graph in E polarization mode (TM). We found that effective plasma frequency can be tailored as we want. Detailed results are presented with different sizes of radius. Comparison is made for different background materials.

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Photonic band structures of two-dimensional systems containing metallic components

Cited by 230 publications

References 32 publications

THz frequency studies of metallic structures

THz frequency studies of metallic structures

Modified Plane Wave Method Analysis of Dielectric Plasma Photonic Crystal

Effective Plasma Frequency for Two- Dimensional Metallic Photonic Crystals

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