STUDY OF BAND STRUCTURE OF TWO-DIMENSIONAL ANISOTROPIC HONEYCOMB PHOTONIC CRYSTALS

2013 ◽  
Vol 27 (25) ◽  
pp. 1350181 ◽  
Author(s):  
A. SEDGHI ◽  
A. ROUNAGHI SOUFIANI
Keyword(s):  
Photonic Crystals ◽  
Band Structure ◽  
Expansion Method ◽  
Point Of View ◽  
Band Gaps ◽  
Honeycomb Lattice ◽  
Two Dimensional ◽  
Plane Wave Expansion ◽  
Plane Wave Expansion Method ◽  
Practical Point

Using the plane wave expansion method, we have calculated, for both E and H polarizations, the band structure of 2D anisotropic photonic crystals with honeycomb lattice composed of anisotropic tellurium ( Te ) rods embedded in air background. The two rods in the unit cell are chosen square and circular in shape. Here, from a practical point of view, in order to obtain maximum band gaps, we have also studied the band structure as a function of size of rods.

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.

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.

scholarly journals Stochastic Modeling of 2D Photonic Crystals

2021 ◽  
Author(s):  
Mohamed I. Wafa ◽  
Yasser M. El-Batawy ◽  
Sahar A. El-Naggar
Keyword(s):  
Photonic Crystals ◽  
Plane Wave ◽  
Stochastic Modeling ◽  
Stochastic Analysis ◽  
Expansion Method ◽  
Numerical Results ◽  
Two Dimensional ◽  
Plane Wave Expansion ◽  
Plane Wave Expansion Method ◽  
Wave Expansion

Abstract Due to the fabrication processes, inaccurate manufacturing of the photonic crystals (PCs) might occur which affect their performance. In this paper, we examine the effects of tolerance variations of the radii of the rods and the permittivity of the material of the two-dimensional PCs on their performance. The presented stochastic analysis relies on plane wave expansion method and Mote Carlo simulations. We focus on two structures, namely Si-Rods PCs and Air-Holes PCs. Numerical results show – for both structures – that uncertainties in the dimensions of the PCs have higher impact on its photonic gap than do the uncertainties in the permittivity of the Si material. In addition, Air-Holes PCs could be a good candidate with least alteration in the photonic gap considering deviations that might occur in the permittivity of Si due to impurities up to 5%.

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.

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