一维光子晶体的电磁波理论及实现方法

对一维光子晶体的电磁波理论及周期介质中的Bloch波解做了详细的推导,给出了光子晶体中的禁带存在的理论依据,并以此分析了禁带的特征.同时,对一维光子晶体的光学理论做了阐释,并应用于一维光子晶体的设计实践.列举了两个多层周期介质膜的禁带特性.最后对光子晶体的应用和制造前景做了展望.     

具有禁带展宽特性的一维光子晶体

提出了介质的光学厚度系数成圆形分布的一维光子晶体结构,与周期结构的光子晶体相比,该结构具有禁带展宽特性.同时讨论了起止膜层及膜层的光学厚度对该结构禁带特性的影响,优化出了在所选材料的介电常数所允许的频率范围内,具有完全禁带特征的光子晶体结构.     

一维光子晶体禁带特性的研究

应用传输矩阵法研究了一维光子晶体的禁带特性,数值模拟得到了一维光子晶体TE模、TM模和TE/TM模禁带结构,计算结果表明,介质层的厚度发生变化时,禁带宽度发生变化。研究结果为一维光子晶体器件的设计提供了理论依据。     

基于像素法用模拟退火-遗传算法搜索一维宽带隙光子晶体

将一维光子晶体用像素填充法进行二进制编码,把模拟退火、遗传算法、模拟退火-遗传混合算法与传输矩阵法结合,搜索、计算了一维光子晶体结构和能带,找到了全方位相对禁带宽度高达43.53%的四层结构和43.76%的两层结构,并给出了一维四层结构光子晶体的能带图及其4个原胞的反射率和透射率的频谱图;发现一维两层结构光子晶体的全方位禁带宽度对每层厚度的变化不敏感,但随着两种介质折射率差的增加而增大.     

一维函数光子晶体的研究

本文提出一种新型函数光子晶体, 其折射率是空间位置函数. 由费马原理, 我们给出光在一维、 二维和三维函数光子晶体中的运动方程, 以及一维函数光子晶体的色散关系、 带隙结构和透射率, 再利用传输矩阵理论研究函数光子晶体周期数、 入射角和介质层的厚度等对透射率和禁带结构的影响, 计算发现通过选择不同的折射率空间分布函数, 可以得到比传统光子晶体更宽或更窄的禁带结构. 这样为我们设计不同带隙结构的光子晶体提供理论依据.     

一维超声光子晶体禁带结构分析

超声波在介质中传播时可以引起介质的折射率发生周期变化,当光波垂直于超声波的传播方向时,这种介质可以被用来作为光栅使用,称为超声光栅。当光波沿超声波的传播方向通过这种介质时,它还可以用作一维光子晶体,并称其为一维超声光子晶体(1D-USPC)。利用平面波法证明了一维超声光子晶体具有一般一维周期层叠结构光子晶体的禁带特征。同时这种光子禁带是可以通过超声波的波长和振幅来改变的,这就为控制光的行为方面提供另一种新的方法。     

硅基薄膜太阳电池一维光子晶体背反射器的模拟设计与制备

从模拟和实验两个方面研究了一种适用于硅基薄膜太阳电池的一维光子晶体新型背反射器.首先采用时域有限差分方法,模拟研究了组成一维光子晶体的两种介质的折射率比、厚度比以及周期厚度对光子禁带的影响.基于模拟结果,制备出一种由低折射率SiOx层与高折射率非晶硅a-Si层周期性交叠构成的禁带可调式一维光子晶体背反射器.通过改变a-Si层的厚度,使得禁带范围由500—750 nm波长范围红移至650—1100 nm,反射率分别达到96.4%和99%.将上述结构的一维光子晶体作为背反射器分别应用于非晶硅单结太阳电池和非晶硅/微晶硅双结叠层太阳电池,与没有背反射结构电池相比,短路电流密度分别提升了18.3%和15.2%.同时模拟研究了在不同入射角度下自然光、TE波和TM波对光子晶体反射特性的影响.研究结果表明,在太阳电池中,光线倾斜入射对一维光子晶体反射率的影响有限.     

介电常数呈正弦平方规律变化的一维光子晶体带结构

一维光子晶体是最简单的一类光子晶体。利用分子束外延生长技术,人们可以把两种折射率(或介电常数)不同的材料交替生长形成多层薄膜结构。由于对称性,人们就把这种多层薄膜材料近似当作一维光子晶体,并研究不同折射率情况下光子晶体的能带特征。假设介电常数呈正弦平方规律变化,光子的运动方程化为熟知的Mathieu方程。根据Bloch定理讨论了系统的能量分布,系统自动呈现出的能带结构,再现了光子晶体的周期性与能带特征。数值分析表明,在参数(δ,ε)平面上系统出现了一系列稳定和不稳定区(禁带)。当参数ε→0时,这些不稳定区退化为一点,给出了禁带中心频率,并用摄动法求解了方程的低阶不稳定区及其禁带宽度。结果表明,一阶和二阶不稳定区(禁带)宽度Δω1,2与介质的参数和入射光子频率有关。适当选择这些参数,可以有效地调节光子晶体的带结构,并按需要得到不同性能的光子晶体。     

用特征矩阵法研究一维激光全息光子晶体的禁带特性

介质中传播方向相反的2束激光干涉可形成具有一维周期结构的体积全息图,而这种全息图可以看作一维光子晶体,称为一维激光全息图光子晶体,用特征矩阵法研究了一维激光全息图光子晶体的透射谱中的禁带随入射角、记录波长、介质折射率、折射率调制度的变化规律。结果表明：当入射角变大,激光波长、介质折射率及介质折射率调制度变小时, 禁带的位置向短波方向移动, 禁带宽度减小。     

一维光子晶体材料中的光学传输特性

研究了光在一维周期性介电材料中的传播特性,指出传统的高反膜只是光子晶体的一个特例,从而从光子晶体的角度对多层膜系的设计提出了一条新的思路,同时研究了材料的介电常数以及结构与高反带带宽之间的关系。最后通过在多层膜中引入掺杂（中间一层被另一种介质所代替）,得到第一能隙中掺杂模式的频率与掺杂材料的介电常数之间的对应关系,由此提出一种精确测量介质介电常数的方法。     

Effect of the dielectric background on dispersion characteristics of metallo-dielectric photonic crystals

We theoretically study the effect of the dielectric background in two-dimensional metallo-dielectric photonic crystals. The metallo-dielectric photonic crystal consists of a square lattice of circular metallic rods embedded into a dielectric background. We calculate the photonic band structure by means of the plane wave method and the frequency-dependent finite-difference time-domain method. The transfer matrix method is used to obtain the reflectivity characteristics. Results show that the band structures shift toward lower frequencies and become flatter when the background dielectric constant increases. In addition, degeneracy can be broken and new gaps can be created in function of the dielectric background. We also found that the relative band gap width Δω/ω_g grows with increasing background dielectric constant and widths as large as 42.3% and 13.8% for the second and third band gaps can be achieved for ε_b = 9. We have investigated the origin of the new gap in these structures by studying the electric-field distribution at the band edges for the first five modes.     

Photonic band gap engineering in 2D photonic crystals

The polarization-dependent photonic band gaps (TM and TE polarizations) in two-dimensional photonic crystals with square lattices composed of air holes in dielectric and vice versa i.e., dielectric rods in air, using the plane-wave expansion method are investigated. We then study, how the photonic band gap size is affected by the changing ellipticity of the constituent air holes/dielectric rods. It is observed that the size of the photonic band gap changes with changing ellipticity of the constituent air holes/dielectric rods. Further, it is reported, how the photonic band gap size is affected by the change in the orientation of the constituent elliptical air holes/dielectric rods in 2D photonic crystals.     

Photonic band gap failure in photonic crystal devices

The photonic crystal is an artificial material with periodic dielectric constant and the key factor to preserve their band features is its periodicity. When the number of periods of photonic crystal is decreased the photonic band gap cannot prevent the light of the corresponding frequencies from propagating in photonic crystal, in another word, photonic band gap will be failure. The minimum periods of photonic crystal device which can keep photonic band gap effective in miniaturization process is analyzed, the transmittance spectrum is calculated by the Finite-difference time-domain algorithm (FDTD) [1], the minimum periods is got in the simulation and the reason which affects the minimum periods is analyzed in this paper.     

A novel technique to measure the sucrose concentration in hydrogel sucrose solution using two dimensional photonic crystal structures

We propose a novel technique to measure the concentration of sucrose in PAm-hydrogel sucrose solution using two dimensional photonic crystal structures consists of air holes. PAm-hydrogel is an organic hydrogels, which is used as biomedical applications. The principle of measurement is based on the linear variation of photonic band gap with the change of dielectric constant of the solution infiltrated in air holes of photonic crystal structure. Plane wave expansion method is used to find the band gap and linear variation (R² = 0.9949) of photonic band gap with respect to sucrose concentration is observed. Besides this, an excellent linear variation (R² = 0.9949) of transmitted intensity of light with respect to sucrose concentration is also seen. Since the simulation is based on optical principle, it gives accurate results. This suggests the possible use of 2-D photonic crystal structure as a sucrose sensor. Experimental procedure for measuring the concentration of sucrose is also mentioned.     

磁导率对二维蜂窝结构光子晶体带隙的影响

利用平面波展开法对二维六角晶格结构磁性光子晶体的带隙特性进行了研究，给出其能带结构分布图，并与非磁性介质构成的光子晶体进行了比较.结果表明，由磁性材料构成的光子晶体更易出现带隙，磁导率对带隙结构影响很大.空气背景磁性散射子情况，磁导率增加较小时，二个绝对光子带隙宽度逐渐减小，直至消失.继续增加磁导率，在较低频率范围内出现一个绝对光子带隙，占空比逐渐加大，且最佳填充系数基本保持不变.磁性背景空气散射子，类似地在较低频率范围内也出现了一个绝对光子带隙.磁性背景非磁性散射子与空气背景磁性散射子情况相似.     

Modelling and design of complete photonic band gaps in two-dimensional photonic crystals

In this paper, we investigate the existence and variation of complete photonic band gap size with the introduction of asymmetry in the constituent dielectric rods with honeycomb lattices in two-dimensional photonic crystals (PhC) using the plane-wave expansion (PWE) method. Two examples, one consisting of elliptical rods and the other comprising of rectangular rods in honeycomb lattices are considered with a view to estimate the design parameters for maximizing the complete photonic band gap. Further, it has been shown that complete photonic band gap size changes with the variation in the orientation angle of the constituent dielectric rods.      

Zero permittivity band characteristics in one-dimensional plasma dielectric photonic crystal

We consider the oblique propagation of electromagnetic waves in one-dimensional plasma dielectric photonic crystals, the superlattice structure consisting of alternating plasma and dielectric materials using transfer matrix method. Our results show that photonic band gaps for all polarizations can be obtained in one-dimensional plasma dielectric photonic crystals. These structures can exhibit a new type of band or gap, for the incidence angles other than normal incidence, near frequencies where the electric permittivity of the plasma layer changes sign. This new band or gap arises, from the dispersive properties of the plasma layer, only for TM polarized waves and its width increases with the increasing angle of incidence. This differential behaviour under polarization can be utilized in the design of an efficient polarization splitter. The band characteristic is affected by the plasma width, the plasma density, dielectric width, the dielectric constant of the dielectric medium and angle of incidence.     

一维光子晶体中多缺陷耦合导致的杂质带

利用传输矩阵方法研究了包含多个周期性分布的缺陷的一维光子晶体的透射谱.以33个周期的1/4波堆存在5个缺陷的光子晶体为例作了数值计算.结果表明,在周期性光子晶体中加入多个缺陷时,将在截止带中产生多个缺陷模.这些缺陷模构成的杂质能带依赖于缺陷在晶体中的分布.当缺陷密集时,缺陷模耦合较强,杂质带中透射峰相距较远,它们对应禁带中许多分立定域的杂质能级;当缺陷稀疏时,缺陷模耦合较弱,透射峰相距较近,分立的杂质能级趋于简并,由此形成一个很窄的通带.     

在高频区存在巨带隙的长方晶格二维光子晶体

本文利用降低光子晶体的对称性来提高绝对禁带宽度, 提出两种长方结构长方介质柱二维光子晶体, 用快速平面波展开法研究其高频区的带结构.经参数优化发现, 长方晶格包含一套介质柱时, 最大绝对禁带宽度Δω为0.1265ωe（ωe=2πc/a, a为晶格常数, c为光速）, 绝对禁带中心频率ωmid为1.9256ωe, Δω/ωmid=6.6%; 当长方晶格包含两套介质柱时, 最大绝对禁带宽度为0.203ωe, 绝对禁带中心频率为1.8597ωe, Δω/ωmid=10.9%.     

Band gap extension in honeycomb lattice two-dimensional plasma photonic crystals in the presence of dissipation

We investigate two types of honeycomb lattice two-dimensional plasma photonic crystals that possess large photonic band gaps in the presence of dissipation. We obtain a clear insight into the band structures and find imaginary parts of the eigenvalue band structure at the symmetry points display discontinuous behaviour when the filling factor of plasma in type-1 structure is low. Further more, we show how the photonic band gaps are affected by the normalized plasma frequency, radius of cylinder, dielectric constant and collision frequency. Our results demonstrate the band gap extension by increasing normalized plasma frequency in both type structures and radius of plasma cylinders in type-1 structure. The width of band gaps could also be enlarged by decreasing dielectric cylinder's radius. The bands shift toward lower frequencies when relative dielectric constant increases in both two types. These results may provide theoretical instructions to design new optoelectronic devices.