Photonic bands: Convergence problems with the plane-wave method

Sözüer, H. Sami; Haus, Joseph W.; Inguva, Ramarao

doi:10.1103/physrevb.45.13962

Cited by 438 publications

(211 citation statements)

References 16 publications

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“…3͒ lattice, and for such ordering a complete photonic band gap has been predicted. 4 By filling the voids with another material or adjusting the SiO 2 /air volume fraction, 5 one can improve its photonic crystal properties.…”

Section: ͓S0003-6951͑98͒01939-1͔mentioning

confidence: 99%

CdS photoluminescence inhibition by a photonic structure

Blanco

López

Mayoral

et al. 1998

Applied Physics Letters

163

108

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Substrate effect on the room-temperature ferromagnetism in un-doped ZnO films Appl. Phys. Lett. 101, 031913 (2012) Surface-bound-exciton emission associated with domain interfaces in m-plane ZnO films Appl. Phys. Lett. 101, 011901 (2012) Superradiance from one-dimensionally aligned ZnO nanorod multiple-quantum-well structures Appl. Phys. Lett. 100, 233118 (2012) Optical properties of edge dislocations on (100) prismatic planes in wurtzite ZnO introduced at elevated temperatures J. Appl. Phys. 111, 113514 (2012) Emission from a dipole-forbidden energy state in a ZnO quantum dot induced by a near-field interaction with a fiber probe

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Section: ͓S0003-6951͑98͒01939-1͔mentioning

confidence: 99%

CdS photoluminescence inhibition by a photonic structure

Blanco

López

Mayoral

et al. 1998

Applied Physics Letters

163

108

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“…In order to achieve the dispersive curves of PCs, many numerical methods can be used [39][40][41]. Among those methods, PWE method is the most popular one to obtain the band structures, although there are many shortcomings, such as convergence problem and large number of plane waves [42,43]. Recently, the band structures for the PCs containing the Drude-type materials, such as plasma [44] and metal [45], can be computed successfully by a modified PWE method, which can compute the general nonlinear eigenvalue equation by a standard linearization technique.…”

Section: Theoretical Model and Numerical Methodsmentioning

confidence: 99%

The Wavelength Division Multiplexer Realized in Three-Dimensional Unusual Surface-Plasmon-Induced Photonic Crystals Composed of the Epsilon-Negative Materials Shells

Zhang¹,

Liu²,

Li³

2014

PIER

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Abstract-In this paper, the dispersive properties and switching state of three-dimensional (3D) photonic crystals (PCs) with diamond lattices, which are composed of the core isotropic dielectric spheres with surrounded by the epsilon-negative (ENG) materials shells inserted in the isotropic dielectric background (air), are theoretically investigated in detail based on a modified plane wave expansion method. The wavelength division multiplexer can be realized easily by tuning the switching state of such PCs. The equations for computing band structures for such 3D PCs are presented. Our analysis shows that the proposed double-shell structures can obtain the complete photonic band gaps (PBGs) which can be used to realize optical switching by manipulating the radius of core dielectric sphere, the relative dielectric constant of background, the dielectric constant of ENG materials and the electronic plasma frequency, respectively. However, the thickness of the ENG materials shell cannot change the switching state as the radius of core dielectric sphere is certain. Numerical simulations also show that a flatband region, and the stop band gaps (SBGs) in (1 0 0) and (1 1 1) directions which are above the flatband region can be achieved. The SBGs in (1 0 0) and (1 1 1) directions can also be tuned by the parameters as mentioned above. There also exists a threshold value for the thickness of ENG material shell, which can make the band structures for the 3D PCs with double-shell structures similar to those obtained from the same structure containing the pure ENG materials spheres. In this case, the inserted core sphere will not affect the band structures. It means that we can achieve the PBGs by replacing the pure ENG materials spheres by such double-shell structures to make fabricate easily and save the material in the realization. It is also noticed that the flatband region is determined by the existence of surface-plasmon modes, and the upper edge of flatband region does not depend on the topology of lattice. Such presented 3D PCs with double-shell structures offer a novel way to realize the wavelength division multiplexers.

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“…A complete photonic gap in three dimensions (3D) has been demonstrated for the diamond lattice of dielectric spheres [5], the fcc lattice of air spheres (or "inverse opal") [6,7], the "yablonovite" [8], the "woodpile" [9], and other more complex 3D geometries [10,11]. All these structures are difficult to fabricate at optical wavelengths: they often require the use of a bottom-up procedure, like e.g.…”

Section: Introductionmentioning

confidence: 99%

Etched distributed Bragg reflectors as three-dimensional photonic crystals: Photonic bands and density of states

Pavarini

Andreani

2002

Phys. Rev. E

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The photonic band dispersion and density of states (DOS) are calculated for the three-dimensional (3D) hexagonal structure corresponding to a distributed Bragg reflector patterned with a 2D triangular lattice of circular holes. Results for the Si/SiO2 and GaAs/AlGaAs systems determine the optimal parameters for which a gap in the 2D plane occurs and overlaps the 1D gap of the multilayer. The DOS is considerably reduced in correspondence with the overlap of 2D and 1D gaps. Also, the local density of states (i.e., the DOS weighted with the squared electric field at a given point) has strong variations depending on the position. Both results imply substantial changes of spontaneous emission rates and patterns for a local emitter embedded in the structure and make this system attractive for the fabrication of a 3D photonic crystal with controlled radiative properties.42.70.Qs 41.20.Jb

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Photonic bands: Convergence problems with the plane-wave method

Cited by 438 publications

References 16 publications

CdS photoluminescence inhibition by a photonic structure

CdS photoluminescence inhibition by a photonic structure

The Wavelength Division Multiplexer Realized in Three-Dimensional Unusual Surface-Plasmon-Induced Photonic Crystals Composed of the Epsilon-Negative Materials Shells

Etched distributed Bragg reflectors as three-dimensional photonic crystals: Photonic bands and density of states

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