Research on the filter properties of the one-dimensional three sects photonic crystal with symmetrical structure

2007 ◽  
Author(s):  
Zhi-quan Li ◽  
Xiu-xian Tian ◽  
Hui-bo Wang ◽  
Tong Zhang
2011 ◽  
Vol 418-420 ◽  
pp. 679-683
Author(s):  
Bei Jia He ◽  
Xin Yi Chen ◽  
Jian Bo Wang ◽  
Jun Lu ◽  
Jian Chang ◽  
...  

To expand the bandgap's width of the one-dimensional photonic crystal, a crystal named SiO2/Metal/MgF2 is formed by joining some metals into the crystal SiO2/MgF2. Furthermore the Finite Difference Time Domain (FDTD) method is used to explore the metals' influence on the crystal's transmission characteristics. The simulation results show that the metals joined could expand the width of the one-dimensional photonic crystal's bandgap effectively and the bandgap's width increases when the metals' thickness increases. Meanwhile the bandgap's characteristic is affected by the metals' material-characteristic. The higher the plasma frequency is, the wider the bandgap's width will be and the more the number of the bandgaps will be. On the other hand, the metals' damping frequency has no significant effect on the bandgap, but would make the bandgap-edge's transmittance decrease slightly.


2014 ◽  
Vol 576 ◽  
pp. 27-31
Author(s):  
Gai Mei Zhang ◽  
Can Wang ◽  
Yan Jun Guo ◽  
Wang Wei ◽  
Xiao Xiang Song

The photonic crystal has the property that electromagnetic waves with interval of frequency in photonic band gap (PBG) can not be propagated, so it has important applying and researching value. The traditional one-dimensional photonic crystal is with narrow band gap width, and the reflection within the band is small, especially the band gap is sensitive to the incident angle and the polarization of light. A new photonic band gap (PBG) structure, metallodielectric photonic crystal by inserting metal film in the medium can overcomes the shortcomings mentioned above. The one-dimensional Ag/SiOx photonic crystal was prepared, and theoretical and experimental researches were developed. The results show that photonic band gap appears gradually and the band gap width increase with increasing of period of repeating thickness. With the thickness of Ag film increasing, the band gap width increases, but the starting wavelength of the photonic band gap keeps unchanged. With thickness of SiOx film increasing, the band gap width of photonic band gap also increases, but it is not obvious and starting wavelength increases.


2007 ◽  
Vol 24 (3) ◽  
pp. 297-302 ◽  
Author(s):  
V. G. Arkhipkin ◽  
V. A. Gunyakov ◽  
S. A. Myslivets ◽  
V. Ya. Zyryanov ◽  
V. F. Shabanov

2014 ◽  
Vol 16 (5) ◽  
pp. 1355-1388 ◽  
Author(s):  
Dirk Klindworth ◽  
Kersten Schmidt

AbstractIn this paper we present an efficient algorithm for the calculation of photonic crystal band structures and band structures of photonic crystal waveguides. Our method relies on the fact that the dispersion curves of the band structure are smooth functions of the quasi-momentum in the one-dimensional Brillouin zone. We show the derivation and computation of the group velocity, the group velocity dispersion, and any higher derivative of the dispersion curves. These derivatives are then employed in a Taylor expansion of the dispersion curves. We control the error of the Taylor expansion with the help of a residual estimate and introduce an adaptive scheme for the selection of nodes in the one-dimensional Brillouin zone at which we solve the underlying eigenvalue problem and compute the derivatives of the dispersion curves. These derivatives are then employed in a Taylor expansion of the dispersion curves. We control the error of the Taylor expansion with the help of a residual estimate and introduce an adaptive scheme for the selection of nodes in the one-dimensional Brillouin zone at which we solve the underlying eigenvalue problem and compute the derivatives of the dispersion curves. The proposed algorithm is not only advantageous as it decreases the computational effort to compute the band structure but also because it allows for the identification of crossings and anti-crossings of dispersion curves, respectively. This identification is not possible with the standard approach of solving the underlying eigenvalue problem at a discrete set of values of the quasi-momentum without taking the mode parity into account.


2013 ◽  
Vol 401-403 ◽  
pp. 748-753
Author(s):  
Xu Yang Xiao ◽  
Run Ping Chen ◽  
Zheng Fu Cheng

We propose the one-dimensional photonic crystal quantum well structure composed of two negative metamaterials, the features of which are investigated with scattering matrix method. With this method, the transmittance, reflectance and dispersion relation of electromagnetic wave propagation in photonic crystal are obtained. Moreover, the photonic band structure is given by dispersion relation. For photonic crystal parallel wells the sandwich structure (MpNqMp) and four PCs structure (MpNqMpNq), the resonant modes exist in the photonic band gaps. The number of resonant modes is varied by changing the period number of the constituent photonic crystals. Meanwhile, the resonant modes is not sensitive to the incident angle increasing, only shift slowly to lower frequency region. Moreover, the resonant modes can be act as multiple ultra-narrow bandwidth filters.


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