Effective permittivity and permeability of two-dimensional photonic crystals

2008 ◽  
Author(s):  
Wojciech Śmigaj ◽  
Boris Gralak
Keyword(s):  
Photonic Crystals ◽  
Effective Permittivity ◽  
Two Dimensional ◽  
Permittivity And Permeability

scholarly journals Dirac Dispersion in Two-Dimensional Photonic Crystals

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
C. T. Chan ◽  
Zhi Hong Hang ◽  
Xueqin Huang
Keyword(s):  
Refractive Index ◽  
Photonic Crystals ◽  
Berry Phase ◽  
Flat Band ◽  
Two Dimensional ◽  
Zone Boundary ◽  
System Parameters ◽  
Band Dispersion ◽  
Permittivity And Permeability ◽  
Band Crossing

We show how one may obtain conical (Dirac) dispersions in photonic crystals, and in some cases, such conical dispersions can be used to create a metamaterial with an effective zero refractive index. We show specifically that in two-dimensional photonic crystals with C4v symmetry, we can adjust the system parameters to obtain accidental triple degeneracy at Γ point, whose band dispersion comprises two linear bands that generate conical dispersion surfaces and an additional flat band crossing the Dirac-like point. If this triply degenerate state is formed by monopole and dipole excitations, the system can be mapped to an effective medium with permittivity and permeability equal to zero simultaneously, and this system can transport wave as if the refractive index is effectively zero. However, not all the triply degenerate states can be described by monopole and dipole excitations and in those cases, the conical dispersion may not be related to an effective zero refractive index. Using multiple scattering theory, we calculate the Berry phase of the eigenmodes in the Dirac-like cone to be equal to zero for modes in the Dirac-like cone at the zone center, in contrast with the Berry phase of π for Dirac cones at the zone boundary.

Effective parameters of a metamaterial composed of dielectric coated conducting cylindrical rods

2020 ◽  
Vol 12 (8) ◽  
pp. 797-808
Author(s):  
Z. A. Awan ◽  
Hassan Ullah ◽  
Ahsan Ullah ◽  
Afshan Ashraf
Keyword(s):  
Gallium Arsenide ◽  
Strontium Titanate ◽  
Barium Strontium Titanate ◽  
Effective Permittivity ◽  
Double Negative ◽  
Two Dimensional ◽  
Effective Parameters ◽  
Barium Strontium ◽  
Electric Conducting ◽  
Permittivity And Permeability

AbstractIn the first part, the scattering characteristics of an isolated dielectric coated conducting rod have been investigated. The types of considered coatings for the scattering analysis are realistic materials including barium strontium titanate, magnetodielectric, gallium arsenide, and silicon carbide. It is found that the gallium arsenide coating can be used to significantly reduce the scattering from a thin perfectly electric conducting cylindrical rod at specific observation angles. In the second part, the effective permittivity and permeability of metamaterials composed of two dimensional periodic arrangements of these dielectric coated conducting cylindrical rods have been studied. An increase in the double negative (DNG) bandwidth of a metamaterial composed of barium strontium titanate coated conducting rods has been observed in contrast to the corresponding bandwidth of a metamaterial composed of only barium strontium titanate material rods. Also an additional plasmonic epsilon negative (ENG) bandwidth has been found in case of a metamaterial composed of barium strontium titanate coated conducting rods. It is further studied that the widest ENG, mu negative, and DNG bandwidths exist for a metamaterial composed of gallium arsenide rods.

Numerical Study on Two-dimensional Magnetic Photonic Crystals Made of Magnetized Ferrites

PIERS Online ◽  
2007 ◽  
Vol 3 (3) ◽  
pp. 305-307 ◽  
Author(s):  
Jie Xu ◽  
Ping Chen ◽  
Yue Shi ◽  
Xin-Yi Ji ◽  
Ai-Min Jiang ◽  
...  
Keyword(s):  
Photonic Crystals ◽  
Numerical Study ◽  
Two Dimensional ◽  
Magnetic Photonic Crystals

DESIGN OF Y SHAPED 2x1 ENCODER USING TWO DIMENSIONAL PHOTONIC CRYSTALS

2019 ◽  
Vol 7 (1) ◽  
pp. 12
Author(s):  
K. LATHA ◽  
R. ARUNKUMAR ◽  
S. ROBINSON ◽  
◽  
◽  
...  
Keyword(s):  
Photonic Crystals ◽  
Two Dimensional

Effects of geometric and refractive index disorder on wave propagation in two-dimensional photonic crystals

2000 ◽  
Vol 62 (4) ◽  
pp. 5711-5720 ◽  
Author(s):  
A. A. Asatryan ◽  
P. A. Robinson ◽  
L. C. Botten ◽  
R. C. McPhedran ◽  
N. A. Nicorovici ◽  
...  
Keyword(s):  
Refractive Index ◽  
Wave Propagation ◽  
Photonic Crystals ◽  
Two Dimensional

Dynamics of spontaneous emission from SiN with two-dimensional photonic crystals

2008 ◽  
Vol 33 (15) ◽  
pp. 1768 ◽  
Author(s):  
Xingsheng Xu ◽  
Toshiki Yamada ◽  
Rieko Ueda ◽  
Akira Otomo
Keyword(s):  
Photonic Crystals ◽  
Spontaneous Emission ◽  
Two Dimensional
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