Complex band structures and transmission spectra of two-dimensional photonic crystals

1994 ◽  
Author(s):  
Yang Qiu ◽  
Kok-Ming Leung
Keyword(s):  
Photonic Crystals ◽  
Title Complex ◽  
Transmission Spectra ◽  
Two Dimensional ◽  
Band Structures

Characterization of band structures and surface modes in two-dimensional photonic crystals

1994 ◽  
Author(s):  
William M. Robertson ◽  
Gnanalingam Arjavalingam ◽  
Shawn-Yu Lin
Keyword(s):  
Photonic Crystals ◽  
Two Dimensional ◽  
Band Structures ◽  
Surface Modes

Optical Spectroscopy of Silicon-On-Insulator Waveguide Photonic Crystals

2004 ◽  
Vol 817 ◽  
Author(s):  
D. Bajoni ◽  
M. Galli ◽  
M. Belotti ◽  
F. Paleari ◽  
M. Patrini ◽  
...  
Keyword(s):  
Photonic Crystals ◽  
Spectral Range ◽  
Sample Surface ◽  
Silicon On Insulator ◽  
Optical Investigation ◽  
Transmission Spectra ◽  
Two Dimensional ◽  
Large Area ◽  
Line Defects ◽  
Triangular Lattices

AbstractWe report on a complete optical investigation on two-dimensional silicon-on-insulator (SOI) waveguide photonic crystals obtained by electron beam lithography and reactive ion etching. The dispersion of photonic modes is fully investigated both above and below the light-line by means of angle- and polarization-resolved micro-reflectance and attenuated total reflectance measurements.The investigated samples consisted in a) large area (300 × 300 μm2) two-dimensional (2D) triangular lattices of air holes containing repeated line–defects; b) small area triangular lattices of holes with different number of periods and /or line defects integrated in a ridge type waveguide structure.In the case of large area samples, variable-angle reflectance and ATR is measured from the sample surface in a wide spectral range from 0.2 to 2 eV both in TE and TM polarizations. The sharp resonances observed in the polarized reflectance and ATR spectra allow mapping of the photonic dispersion of both radiative and guided modes. Experimentally determined and compared to those calculated by means of an expansion on the basis of the waveguide modes.In the case of ridge type waveguide-integrated photonic crystals, transmission is measured in the 0.9-1.7 eV spectral range by an edge-coupling technique. Transmission spectra exhibit significant attenuation corresponding to the photonic gaps along the Γ–M and Γ–K directions respectively, even when a small number of hole periods is integrated in the ridge waveguide. Good agreement is obtained by comparing the measured transmission spectra with the calculated photonic bands.

Band structures in a two-dimensional phononic crystal with rotational multiple scatterers

2017 ◽  
Vol 31 (06) ◽  
pp. 1750038 ◽  
Author(s):  
Ailing Song ◽  
Xiaopeng Wang ◽  
Tianning Chen ◽  
Lele Wan
Keyword(s):  
Sound Pressure ◽  
Phononic Crystal ◽  
Low Frequency ◽  
Electrical Circuit ◽  
Frequency Noise ◽  
Transmission Spectra ◽  
Two Dimensional ◽  
Band Structures ◽  
Unit Cells ◽  
Circuit Analogy

In this paper, the acoustic wave propagation in a two-dimensional phononic crystal composed of rotational multiple scatterers is investigated. The dispersion relationships, the transmission spectra and the acoustic modes are calculated by using finite element method. In contrast to the system composed of square tubes, there exist a low-frequency resonant bandgap and two wide Bragg bandgaps in the proposed structure, and the transmission spectra coincide with band structures. Specially, the first bandgap is based on locally resonant mechanism, and the simulation results agree well with the results of electrical circuit analogy. Additionally, increasing the rotation angle can remarkably influence the band structures due to the transfer of sound pressure between the internal and external cavities in low-order modes, and the redistribution of sound pressure in high-order modes. Wider bandgaps are obtained in arrays composed of finite unit cells with different rotation angles. The analysis results provide a good reference for tuning and obtaining wide bandgaps, and hence exploring the potential applications of the proposed phononic crystal in low-frequency noise insulation.

Low-frequency bandgaps of two-dimensional phononic crystal plate composed of asymmetric double-sided cylinder stubs

2016 ◽  
Vol 30 (07) ◽  
pp. 1650029 ◽  
Author(s):  
Ailing Song ◽  
Xiaopeng Wang ◽  
Tianning Chen ◽  
Ping Jiang ◽  
Kai Bao
Keyword(s):  
Phononic Crystal ◽  
Low Frequency ◽  
Resonant Mode ◽  
Dispersion Relations ◽  
Transmission Spectra ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
Frequency Range ◽  
Displacement Fields ◽  
Band Structures

In this paper, we theoretically investigate the propagation characteristics of Lamb wave in a two-dimensional (2D) asymmetric phononic crystal (PC) plate composed of cylinder stubs of different radius deposited on both sides of a thin homogeneous plate. The dispersion relations, transmission spectra and displacement fields of the eigenmodes are calculated by using the finite element method (FEM). Two complete bandgaps (BGs) can be found in low-frequency range and the transmission spectra coincide with the band structures. We investigate the evolution of dispersion relations with the decrease of the upper stub radius. The physical mechanism of the upper stub radius effect is also studied with the displacement fields of the unit cell. Numerical results show that the symmetry of the stub radius can remarkably influence the band structures and the asymmetric double-sided plate exhibits a new bandgap (BG) in lower frequency range due to the coupling between the lower stub’s resonant mode and the plate’s Lamb mode becomes weak and the adjacent bands separate. Moreover, we further investigate the effect of the stub height on the dispersion relations and find that the BGs shift to lower frequency regions with the increase of the stub height. In addition, the BGs’ sensitivity to the upper stub radius and the stub height is discussed. The low-frequency BGs in the proposed PC plate can potentially be used to control and insulate vibration in low frequency range.

Photonic band structures of two-dimensional photonic crystals with deformed lattices

2005 ◽  
Vol 14 (12) ◽  
pp. 2507-2513 ◽  
Author(s):  
Cai Xiang-Hua ◽  
Zheng Wan-Hua ◽  
Ma Xiao-Tao ◽  
Ren Gang ◽  
Xia Jian-Bai
Keyword(s):  
Photonic Crystals ◽  
Two Dimensional ◽  
Band Structures ◽  
Photonic Band
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