液晶光子晶体的负折射特性研究

可调光子晶体由于其潜在的应用价值成为现今光子晶体研究中的一个热点.本文提出了通过光诱导液晶来调节光子晶体负折射效应的方法,采用平面波展开法、等频图分析法和推广的斯涅尔定理分析了二维液晶正方晶格光子晶体负折射的可调节性.提出了一种新型的液晶光子晶体结构, 数值模拟结果表明:通过偏振光改变液晶指向矢可以调节该液晶光子晶体的负折射.与电场调制方法相比,该光控液晶取向技术具有响应速度快、结构简单的优点.这种可调光子晶体可用于制作光控路由或者应用于全光网络.     

光子晶体可调谐滤波特性的理论研究

用特征矩阵法研究了带缺陷的一维光子晶体的透射性质，并提出了新的可调谐光滤波器的概念.一维光子晶体(L1H1)m带有Lc-H2(L2H2)n形式的缺陷时，在光子晶体中间出现了窄的透射峰，其他级次的干涉峰则随着覆盖层H2(L2H2)n周期数的增大而减弱并消失.当耦合层Lc厚度变化时，在光子晶体禁带边缘附近出现两个高透射率区域.高透射率区域透射峰的特性由光子晶体和覆盖层的性质决定.当光子晶体禁带宽度较小时，两个高透射率区域接近，形成具有约150nm调谐范围的区域，因此可制备以一维光子晶体为基础的新型可调谐光滤波器. 关键词： 光子晶体 可调谐光滤波器 特征矩阵     

高斯波束在光子晶体中的负折射特性分析

为了研究光子晶体中的负折射行为,我们应用2维TM模时域有限差分方法,数值模拟了高斯波束从自由空间垂直入射和斜入射到二维三角晶格光子晶体平板后的折射现象,并给出了平板内外的电场强度分布.模拟结果显示:垂直入射时,光子晶体平板对高斯波束具有汇聚作用,汇聚特性随着波源到晶体的距离的改变而发生显著的变化;斜入射时,折射波束与入射波束也均在法线的同一侧.结果证明了高斯波束在光子晶体和空气的交界面发生了负折射.模拟结果有望在制作聚焦透镜、带通滤波器、耦合器等光子晶体器件方面得到重要应用.     

二维光子晶体负折射现象条件及特性研究

结合光子晶体带隙图和等频率线图分析了二维光子晶体中出现负折射现象的条件,得出了负折射现象出现的频率范围.采用有限时域差分法模拟了光在光子晶体界面和内部的传输行为,验证了以上理论所给出的负折射出现的频段,观察到了明显的负折射现象.比较了不同介质、不同晶格结构光子晶体中不同频率的负折射行为.提出一种新结构的六角型二维三角晶格光子晶体分光镜的模型.     

二维空气环型光子晶体的负折射成像特性

采用平面波展开法和时域有限差分法研究了由空气环组成的二维三角晶格光子晶体平板的负折射成像特性.研究结果表明对于外半径为 0.4 a,内半径 0—0.13a的空气环型光子晶体,第二能带中归一化频率为 0.3 的电磁波可以实现有效折射率为-1的负折射成像.通过光子晶体有效折射率的计算,得到了有效折射率为-1的电磁波频率随空气环内径由0—0.2 a变化的规律,并由对应等频曲线的变化解释了结构参数对光子晶体平板成像的影响. 关键词： 光子晶体 空气环 负折射 等频曲线     

波状结构二维光子晶体负折射现象的研究

结合波状结构二维(2D)光子晶体(PC)与入射介质两者的等频面结构分析了PC内部的负折射现象，采用时域有限差分(FDTD)方法模拟了高斯光束在波状结构2DPC内的负折射，分别得到了折射角/入射角以及折射角/入射波长之间的关系曲线，当入射角为45°，入射波段在1485—1530nm区域时，波状结构2DPC的负折射角与入射波长近似呈线性变化关系，并带有明显的PC超棱镜效应，采用端面投影方法对波状结构2DPC的入射端面和出射端面进行处理，改善了负折射时的透过率. 关键词： 光子晶体 负折射 等频面     

基于等离子体缺陷层的一维可调谐微波光子晶体滤波特性

等离子体填充到一维介质-真空微波光子晶体的缺陷层构成一种可调谐单通道滤波器.据等离子体的强色散特性,其等效折射率与电磁波频率及等离子体频率等参数有关,因而可以通过改变等离子参数,使一维微波光子晶体缺陷层的谐振频率发生偏移,实现微波光子晶体的可调谐滤波特性.介质层和等离子体层分别采用了时域有限差分（FDTD）算法及分段线性电流密度卷积时域有限差分（PLJERC-FDTD）算法.数值模拟表明,通过改变等离子体频率可以实现滤波通道在光子禁带内较大带宽范围的移动. 关键词： 等离子体 微波光子晶体 可调谐滤波     

基于液晶缺陷层的一维可调谐光子晶体滤波器研究

从液晶连续体理论出发,用数值方法分析了以向列相液晶为缺陷层的Si/SiO2一维光子晶体滤波器的调谐原理和调谐量与外场的关系.确定出一种滤波带宽小、调谐范围大的滤波器的结构参量.模拟计算结果显示,该滤波器在外加电压为0.955~5 V时的调谐范围为1 600.6~1 499.8 nm,调谐量达到100.8 nm,完全覆盖了C波段,以及S波段和L波段的绝大部分区域.在整个调谐范围内,其3 dB带宽在0.074~0.090 nm之间,带宽的差异小于17.8%.     

光子晶体多通道可调谐滤波器的理论研究

为了实现光子晶体的多通道滤波,对设计出的一维掺杂光子晶体进行了数值计算和理论分析。结果表明：多通道透射峰的波长与空气膜厚度呈线性变化,不同厚度的空气膜可以截到数目不同的透射峰,多通道透射峰的半高宽随光子晶体折射率n₂的增加而减小。以此为基础,设计出滤波通道波长的可调范围达60nm,滤波通道半高宽的可调范围为1nm～5nm,滤波通道透射峰值大于0.98的一维光子晶体三通道可调谐滤波器。     

光子晶体多通道可调谐偏振滤波器的理论研究

通过对设计的一维掺杂光子晶体的数值计算和理论分析,得出了两个偏振态缺陷模透射峰的变化特征为:P-偏振波其缺陷模透射峰在入射角大于0.75(rad)范围内有多条明显的缺陷模透射峰带,而S-偏振波在入射角大于0.75 (rad) 范围内没有缺陷模透射峰;P-偏振波缺陷模在同一杂质光学厚度可以截到多个波长不同的透射峰.以此为基础设计出滤波通道波长可调范围大于60 nm 、滤波通道的半高宽可调范围在1~5 nm、滤波通道透射峰值大于0.98的一维光子晶体三通道可调谐偏振滤波器.     

Frequency bands of negative refraction in finite one-dimensional photonic crystals

We have discussed theoretically the negative refraction in finite one-dimensional (1D) photonic crystals (PCs) composed of alternative layers with high index contrast. The frequency bands of negative refraction are obtained with the help of the photonic band structure, the group velocity and the power transmittance, which are all obtained in analytical expression. There shows negative transverse position shift at the endface when negative refraction occurs, which is analysed in detail.     

Negative refraction in photonic crystals

We demonstrate that light propagation in strongly modulated 2D/3D photonic crystals (PhCs) becomes refraction-like in the vicinity of the photonic bandgap, which is contrary to the fact that light propagation in weakly modulated PhCs is very different from refraction and thus the definition of refraction index becomes meaningless. Such a crystal behaves like a material having an effective refractive index controllable by the band structure. This situation is analogous to the effective-mass approximation in electron-band theory. The propagation states having a negative effective index exhibit unusual properties, such as mirror-like imaging effect, image-transfer effect. These properties are confirmed by finite-difference time-domain simulations.     

Negative refraction and imaging properties of circular photonic crystals

The electromagnetic wave propagation in a two-dimensional (2D) circular photonic crystal (CPC) is investigated. The CPC structure is composed of air holes in the dielectric background material. The finite element method is used to study the optical and propagating properties of the CPC slab. Numerical simulations show that negative refraction and near-field imaging can appear in a 2D CPC slab. We also find that the high-symmetry CPC slab possesses an optics axis along the vertical direction intersecting the symmetric center. As a result, the CPC slab can exhibit an excellent imaging performance when a source is placed on the optical axis.     

Negative refraction and focusing of electromagnetic wave through two-dimensional photonic crystals

The negative refraction of electromagnetic waves in photonic crystals was recently demonstrated experimentally, and the physical properties were analyzed. Microsuperlenses based on two-dimensional photonic crystals were designed and the subwavelength images were observed. In this review, after providing a brief history of the research related to the above phenomena, we will summarize our research works in this field including the method of creating a negative refraction region, generating an absolute negative refraction, the focusing of unpolarized electromagnetic waves, and the effect of interface and disorder on the image by the two-dimensional photonic crystal flat lens. The discussion on the negative refraction and the focusing by high symmetric quasicrystals is also presented.     

Existing conditions of full bandgaps and absolute negative refraction in metallic-dielectric photonic crystal

This paper has theoretically studied the characteristic frequencies of band structures in two-dimensional metallic-dielectric photonic crystals. It is demonstrated that a large filling fraction benefits the existence of absolute photonic band gap, while a smaller filling fraction benefits an absolute negative refraction band. In addition, it also finds that the relation between the cut-off frequency of E-polarized wave and the filling fraction exceeding 10{\%} is content with a linear increasing function, whose coefficients are exponential to the normalized lattice constant. These investigations have significant implications for tuning the operational frequencies to desired applications and manufacturing photonic crystals.     

二维空气孔型光子晶体负折射平板透镜的减反层

提出并优化了由单排渐变介质波导构成的二维空气孔型光子晶体负折射平板透镜表面的减反层，改善了成像质量.二维时域有限差分模拟计算结果表明，采用减反层后，在入射角小于23°的范围内，在使得有效折射率n_eff=-1的工作频率处，光子晶体表面对从空气一侧入射的平面波的反射率可降低到1％以下. 关键词： 光子晶体 负折射 平板透镜 减反层     

Negative refraction in one-dimensional plasma photonic crystals

We have theoretically explored the negative refraction (NR) in one-dimensional plasma photonic crystals (PCs) consisting of plasma and dielectric materials. By using the transfer matrix method and Bloch theorem, we have studied the group velocity and we have obtained the NR in plasma PCs with the help of the group velocity. The results show that plasma PCs can also exhibit the NR although they have a periodically modulated positive permittivity ? and permeability μ. It is also shown that the NR in plasma PCs exhibits difference behaviour in different frequency regions, ω < ω_p and ω > ω_p, respectively. The parameter dependence of the effects is also examined and discussed.     

单轴晶体中负折射现象的演示

用惠更斯作图法定性地说明了单轴晶体中负折射现象产生的基本原理,演示了YVO4晶体中发生的负折射现象.该实验有助于学生全面认识折射现象.     

Study on optical switching effect of photonic crystals with negative effective index of refraction

Based on transmission spectra, optical switching effect of equivalent negative refractive photonic crystals (PCs) composed of a triangular array of air cylinders in a GaAs matrix is studied by the finite-difference time-domain (FDTD) method in this paper. The mechanism of wave resonance is probed and the propagation of optical waves in the PCs is described in terms of effective refraction index and Bloch waves. Our numerical results show that the probability of spontaneous radiation would be enhanced extremely under the influence of Bloch resonance waves, stimulated emission and photon tunnel effect, resulting in the optical waves being localized greatly in the PCs at particular frequencies. In addition, we found that the position of transmission peaks, with values much greater than unit, can be controlled by tuning the central frequency of the waveguide source. It means that photon current in the PCs can also be controlled to optimize transmission properties of PCs, so as to meet the requirements of novel optical devices based on PCs, such as all-optical switches.