OVERLAPPING TE AND TM BAND GAPS IN SQUARE LATTICE PHOTONIC CRYSTAL OF HOLLOW DIELECTRIC RODS

2012 ◽  
Vol 21 (01) ◽  
pp. 1250008 ◽  
Author(s):  
RADIUS N. S. SURYADHARMA ◽  
ALEXANDER A. ISKANDAR ◽  
MAY-ON TJIA
Keyword(s):  
Photonic Crystal ◽  
Photonic Band Gap ◽  
Numerical Study ◽  
Hexagonal Lattice ◽  
Expansion Method ◽  
Band Gaps ◽  
Square Lattice ◽  
Plane Wave Expansion Method ◽  
Layered Dielectric ◽  
Photonic Band

A numerical study is performed on photonic band gap of 2D square lattice photonic crystal with varied layered dielectric rods by using the plane wave expansion method for the purpose of investigating the effects of geometrical and permittivity variations. The results show that in general the TE and TM band gaps do not coexist in the band structure of this layered rods system. However, for a specific choice of the system parameters leading to a photonic crystals of hollow dielectric rods, both TE and TM photonic band structures feature perceptible band gaps with significant overlap, yielding effective complete photonic band gaps (CPBG). The study further shows that the CPBG can be enlarged by varying both radii of the hollow rods. It is found that a large CPBG can be attained which is comparable in size with those found in hexagonal lattice photonic crystal of air holes as well as square lattice photonic crystal rods incorporating dielectric veins.

Band Gaps of Two-Dimensional Square-Lattice Photonic Crystal with Button-Shaped Dielectric Rods

2011 ◽  
Vol 216 ◽  
pp. 285-289
Author(s):  
S.X. Du ◽  
X. D. He ◽  
B. Liu ◽  
S. J. Li ◽  
Z.M. Zhang ◽  
...  
Keyword(s):  
Photonic Crystal ◽  
Plane Wave ◽  
Band Gap ◽  
Expansion Method ◽  
Band Gaps ◽  
Square Lattice ◽  
Two Dimensional ◽  
Plane Wave Expansion ◽  
Plane Wave Expansion Method ◽  
Wave Expansion

In this paper, a new structure of two-dimensional (2D) square-lattice photonic crystal (SLPC) with button-shaped dielectric rods (BSDRs) is designed, and the properties of band gaps are analyzed by Plane Wave Expansion Method (PWM). The optimal samples that possess the width of absolute band gap are obtained by scanning the three parameters: the radius of large circular R in button mark, the ratio of the radius of small circular to the radius of large circular r/R, and the rotating angle of button mark Ө. It is shown that when r/R=0.485, R=0.406um, and Ө =750, the largest absolute band gap of 0.0406 (ωa/2πc) exists for normalized frequencies in the range 0.7501 to 0.7910 (ωa/2πc). Besides，we can get at most five absolute band gaps when r/R=0.485, R=0.406um, and Ө =600.

Modification of photonic crystals for obtaining common band gaps for TE and TM waves

2012 ◽  
Vol 90 (2) ◽  
pp. 175-180 ◽  
Author(s):  
M. Moghimi ◽  
S. Mirzakuchaki ◽  
N. Granpayeh ◽  
N. Nozhat ◽  
G.H. Darvish
Keyword(s):  
Photonic Crystals ◽  
Photonic Band Gap ◽  
Expansion Method ◽  
Band Gaps ◽  
Two Dimensional ◽  
Plane Wave Expansion ◽  
Photonic Band Gaps ◽  
Plane Wave Expansion Method ◽  
Common Band ◽  
Photonic Band

The band gaps of the two-dimensional photonic crystals, created by inhomogeneous triangular photonic crystal of variable central hexagonal holes are derived. The structure is made of air holes in GaAs. We present the best absolute photonic band gap for this structure by changing the holes’ radii. The photonic band gaps are calculated by the plane wave expansion method. The results indicate 95% overlap in the band gaps of both polarizations of TE and TM in triangular lattice.

Design of a High-Quality Optical Filter Based on 2D Photonic Crystal Ring Resonator for WDM Systems

2020 ◽  
Vol 41 (4) ◽  
pp. 355-361
Author(s):  
Vahid Fallahi ◽  
Mahmood Seifouri
Keyword(s):  
Photonic Crystal ◽  
Quality Factor ◽  
Transmission Coefficient ◽  
Lattice Constant ◽  
Ring Resonator ◽  
Photonic Band Gap ◽  
Structural Parameters ◽  
Optical Filter ◽  
Expansion Method ◽  
Square Lattice

AbstractIn this article, a 2D photonic crystal (PC)-based optical filter has been designed using a PC ring resonator. The resonator used is of square type with a square lattice constant, which has been designed by increasing the radius of the inner rods of the resonator. The filter designed can separate the light of the wavelength of 1545.3 nm with a transmission coefficient of 98 %. The bandwidth of the above wavelength is equal to 0.5 nm and hence the quality factor of the device at this wavelength is equal to 3091. The effects of the structural parameters, such as the refractive index, the lattice constant, the radius of the dielectric rods, the radius of the inner rods of the resonator on the behavior of the proposed device, are fully investigated. To obtain the photonic band gap, the plane wave expansion method is used. In addition, the finite difference time domain method is used to examine, simulate, and to obtain the output spectrum of the structure. The designed structure has both high transmission coefficient and quality factor. Comparatively speaking, it is also simple to design which justifies its use in other photonic crystal-based optical devices.

scholarly journals Complete photonic band gaps in Sn2P2X6 (X = S, Se) supercell photonic crystals

2020 ◽  
Vol 557 (1) ◽  
pp. 92-97
Author(s):  
Sevket Simsek ◽  
Selami Palaz ◽  
Husnu Koc ◽  
Amirullah M. Mamedov ◽  
Ekmel Ozbay
Keyword(s):  
Optical Properties ◽  
Finite Difference ◽  
Maxwell Equations ◽  
Expansion Method ◽  
Band Gaps ◽  
Plane Wave Expansion ◽  
Photonic Band Gaps ◽  
Plane Wave Expansion Method ◽  
Difference Time ◽  
Photonic Band

In this work, we present an investigation of the optical properties and band structures for the photonic crystal structures (PCs) based on Sn2P2X6: X = S, Se) with Fibonacci superlattices. The optical properties of PCs can be tuned by varying structure parameters such as the lengths of poled domains, filling factor, and dispersion relation. In our simulation, we employed the finite-difference time domain technique and the plane wave expansion method, which implies the solution of Maxwell equations with centered finite-difference expressions for the space and time derivatives.

PHOTONIC GAPS IN PERIODIC DIELECTRIC STRUCTURES

1992 ◽  
Vol 06 (03) ◽  
pp. 139-144 ◽  
Author(s):  
C.T. CHAN ◽  
K.M. HO ◽  
C.M. SOUKOULIS
Keyword(s):  
Plane Wave ◽  
Electromagnetic Waves ◽  
Expansion Method ◽  
Dielectric Materials ◽  
Band Gaps ◽  
Plane Wave Expansion ◽  
Photonic Band Gaps ◽  
Plane Wave Expansion Method ◽  
Dielectric Structures ◽  
Photonic Band

Using a plane wave expansion method, we solved the Maxwell’s equations for the propagation of electromagnetic waves inside periodic dielectric materials, and found the existence of photonic band gaps in several classes of periodic dielectric structures.

INFLUENCE OF A TWO-DIMENSIONAL PERIODIC DIELECTRIC BACKGROUND ON THE PHOTONIC BAND GAP IN COMPLEX HEXAGONAL LATTICE PHOTONIC CRYSTALS

2008 ◽  
Vol 22 (23) ◽  
pp. 4059-4067
Author(s):  
YAN ZHANG ◽  
JUN-JIE SHI
Keyword(s):  
Photonic Crystal ◽  
Band Gap ◽  
Significant Influence ◽  
Photonic Band Gap ◽  
Hexagonal Lattice ◽  
Dielectric Constants ◽  
Relative Width ◽  
Two Dimensional ◽  
Photonic Band ◽  
Complete Photonic Band Gap

A complex hexagonal lattice photonic crystal with a two-dimensional (2D) periodic dielectric background is proposed. The photonic band modulation effects due to the 2D periodic dielectric background are investigated. We find that the position and width of the complete photonic band gap (PBG) sensitively depend on the dielectric constants of the 2D periodic dielectric background. The radii of the two alternating air holes have significant influence on the relative width of the complete PBG.

Two-Dimensional Silicon Nitride Photonic Crystal Band Gap Characteristics

2013 ◽  
Vol 538 ◽  
pp. 201-204
Author(s):  
Shou Xiang Chen ◽  
Xiu Lun Yang ◽  
Xiang Feng Meng ◽  
Yu Rong Wang ◽  
Lin Hui Wang ◽  
...  
Keyword(s):  
Photonic Crystal ◽  
Silicon Nitride ◽  
Band Gap ◽  
Lattice Structure ◽  
Photonic Band Gap ◽  
Dielectric Materials ◽  
Filling Ratio ◽  
Square Lattice ◽  
Two Dimensional ◽  
Photonic Band

Plane-wave expansion method was employed to analyze the photonic band gap in two-dimensional silicon nitride photonic crystal. The effects of filling ratio and lattice structure type on the photonic band gap were studied. The results showed that two-dimensional dielectric cylinder type silicon nitride photonic crystal only has TE mode band gap, while, the air column type photonic crystal has complete band gap for TE and TM modes simultaneously. The distribution of band gap can be influenced by the filling ratio of dielectric materials and the lattice type. It is shown that the triangular lattice structure is much easier to form band gap than square lattice structure.

OPTIMIZATION AND DESIGN OF 2D HONEYCOMB LATTICE PHOTONIC CRYSTAL MODULATED BY LIQUID CRYSTALS

2013 ◽  
Vol 27 (31) ◽  
pp. 1350233 ◽  
Author(s):  
CAIHONG GUO ◽  
JIHONG ZHENG ◽  
KUN GUI ◽  
MENGHUA ZHANG ◽  
SONGLIN ZHUANG
Keyword(s):  
Liquid Crystals ◽  
Expansion Method ◽  
Optical Switches ◽  
Band Gaps ◽  
Honeycomb Lattice ◽  
Plane Wave Expansion Method ◽  
Triangle Lattice ◽  
Potential Applications ◽  
Optimization Parameters ◽  
Photonic Band

Photonic crystals (PCs) with infiltrating liquid crystals (LCs) have many potential applications because of their ability to continuously modulate the band-gaps. Using the plane-wave expansion method (PWM), we simulate the band-gap distribution of 2D honeycomb lattice PC with different pillar structures (circle, hexagonal and square pillar) and with different filling ratios, considering both when the LC is used as filling pillar material and semiconductors ( Si , Ge ) are used in the substrate, and when the semiconductors ( Si , Ge ) are pillar material and the LC is the substrate. Results show that unlike LC-based triangle lattice PC, optimized honeycomb lattice PC has the ability to generate absolute photonic band-gaps for fabricating optical switches. We provide optimization parameters for LC infiltrating honeycomb lattice PC structure based on simulation results and analysis.

Theoretical Band Gap Analysis of 2-D Triangular Photonic Crystals Fabricated via Multi-Step Interference Lithography

2011 ◽  
Vol 271-273 ◽  
pp. 52-56
Author(s):  
Dong Yao ◽  
Yu Qing Xiong ◽  
Li Chen
Keyword(s):  
Band Gap ◽  
Gap Analysis ◽  
Photonic Band Gap ◽  
Contrast Ratio ◽  
Expansion Method ◽  
Plane Wave Expansion Method ◽  
Intensity Threshold ◽  
Dielectric Contrast ◽  
Photonic Band ◽  
Peak Value

The effect of intensity threshold on the filling ratio was analyzed by calculating the intensity spatial distribution. The photonic band gap properties of two-dimensional triangular lattice fabricated by holographic lithography are investigated numerically. The influences of intensity threshold and dielectric contrast, on photonic gap are comprehensively studied by plane wave expansion method. Calculations of band structure as a function of the intensity threshold show that the PBG of positive structure opens for TM and TE polarization separate, and the negative structure has the complete PBG. The complete PBG does not increase monotonically with dielectric contrast ratio, but has a peak value instead by studying the relation between the complete PBG and the dielectric contrast ratio. The optimal dielectric contrast is 22 when intensity threshold is 0.2.

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