Thermal properties and two-dimensional photonic band gaps

The effect of temperature on a two-dimensional square lattice photonic crystal composed of Si rods arranged in an air background was investigated theoretically using the plane-wave expansion method. Both the thermal expansion effect and thermo-optical effect are considered simultaneously. We have discussed the role of temperature in creating the complete photonic band gap as a function of temperature. Two different shapes of rods, i.e. square and circular, are considered in the presence of the two polarization states, i.e. TE and TM waves. The numerical results show that the photonic band gap can be significantly enlarged compared to the photonic band gap at room temperature. The effect of temperature on the complete photonic band width in the cylindrical rods case is more significant. Cylindrical and square Si rods may work as a temperature sensor or filter, among many other potential applications.     

二维旋转直柱光子晶体的频率带隙结构分析

设计了一种二维方形旋转正四边形直柱光子晶体,利用平面波展开方法计算了其光子频率带结构,发现在低频和高频区域,该类光子晶体的光子频率禁带明显增大.计算了空气中Al材料的旋转四边形直柱光子晶体的带结构和态密度,当填充比等于0.5时存在绝对带隙,旋转角度为45°时绝对带隙最大,旋转角度为0时,光子频率禁带位于高频区域.利用FDTD方法检验了计算结果,并分析了旋转角度为45°时,正四边形直柱光子晶体的波导特性以及TM模的电场分布.     

Genetic optimization of two-dimensional photonic crystals for large absolute band gaps under light line

A binary genetic algorithm with floating crossover and mutation probabilities is used to design two-dimensional photonic crystals for large absolute band gaps under a light line. The unit cell is composed of a small number of round rods and is arranged in a square lattice. The photonic band structure of each chromosome is calculated by the plane-wave expansion method. Starting from randomly generated photonic crystals, the genetic algorithm finally yielded a photonic crystal with an absolute common band gap of 0.0618(2πc/a) at the mid-frequency of 0.4084(2πc/a).     

“工”字型径向弹性超材料零频起始带隙特性研究

为了得到零频起始带隙,提出"工"字型径向弹性超材料,并研究了其不同约束状态下弹性波的传播特性。通过对色散关系,频响函数和本征模位移场计算研究,发现在双面约束状态下可产生0~16 849 Hz的零频起始宽频带隙,主要由约束作用引起的模态转变产生。进一步,通过研究有限周期结构的方向振动位移场,发现零频起始带隙产生的机制为局域共振机制。最后,分析了结构参数对零频带隙位置及带宽的影响。研究结论可以应用于超低频减振等工程领域。     

“工”字型径向弹性超材料零频起始带隙特性研究

为了得到零频起始带隙,提出"工"字型径向弹性超材料,并研究了其不同约束状态下弹性波的传播特性。通过对色散关系,频响函数和本征模位移场计算研究,发现在双面约束状态下可产生0~16 849 Hz的零频起始宽频带隙,主要由约束作用引起的模态转变产生。进一步,通过研究有限周期结构的方向振动位移场,发现零频起始带隙产生的机制为局域共振机制。最后,分析了结构参数对零频带隙位置及带宽的影响。研究结论可以应用于超低频减振等工程领域。     

用遗传算法搜索一维光子晶体带隙

利用遗传算法和传输矩阵法计算一维光子晶体能带结构,将一维光子晶体用像素填充法进行二进制编码模拟,结果找到全方位相对禁带宽度达42.54%的4层结构和43.75%的2层结构;给出了一维光子晶体4层最佳结构的能带图、20个原胞的反射率透射率频谱图.发现一维2层光子晶体的全方位禁带宽度对每层厚度的变化是不敏感的,但是随着两种介质折射率差的增大而增大.     

一种基于局域共振的低频超宽带隙瓣状声学超材料

针对低频声波的衰减问题,设计了一种基于局域共振(Local Resonance,LR)机理的带瓣型结构的声学超材料,并运用COMSOL有限元软件MULTIPHYSICS 4.3计算分析了所设计的结构元胞带隙特性及其振动特性,研究表明,所设计的声学超材料比无瓣型声学超材料带隙更宽,并且仅用单层结构同种元胞组合就可以在一定频率下形成较宽的多个完全带隙,而不需要通过不同种元胞组合或是多层结构的复合而达到一定带隙特性。在此基础上,进一步对所设计的声学超材料的几何尺寸进行了优化。     

决定二维声子晶体带隙的关键材料参数

从弹性波动方程入手,获得决定二维声子晶体z模态带隙的关键材料参数是散射体对基体的质量密度比和剪切模量比.利用平面波展开法计算带隙结构,研究正方点阵、三角点阵以及不同填充率时材料参数对带隙的影响.发现质量密度比对带隙起决定作用.仅以声阻抗比或波速比的大小不能决定带隙的存在和大小.给出不同点阵形式下产生带隙的材料参数取值范围.给出材料参数-带隙图,对以材料参数设计带隙具有直观的指导作用.     

Investigation of TE-polarized photonic band gap properties in matallodielectric photonic crystals composed of metal coated dielectric cylinders

Using the Dirichlet-to-Neumann map method and generalization of this method, we have been able to calculate the photonic band structure of two-dimensional (2D) metallodielectric photonic crystals composed of metal-coated circular dielectric rods. The rods are embedded in an air background with a square array. We are interested in considering transverse electric (TE) mode of electromagnetic waves. The resulting band structures show the existence of photonic band gaps as well as some flat band regions. We theoretically study the effect of the dielectric constant and radius of the dielectric core on the photonic band structures. There are some interesting results compared to the case of solid metallic rods (without dielectric core) such as appearing the new photonic band gaps and a flat band region with the characteristic of cavity modes.     

25th Anniversary Article: Ordered Polymer Structures for the Engineering of Photons and Phonons

The engineering of optical and acoustic material functionalities via construction of ordered local and global architectures on various length scales commensurate with and well below the characteristic length scales of photons and phonons in the material is an indispensable and powerful means to develop novel materials. In the current mature status of photonics, polymers hold a pivotal role in various application areas such as light‐emission, sensing, energy, and displays, with exclusive advantages despite their relatively low dielectric constants. Moreover, in the nascent field of phononics, polymers are expected to be a superior material platform due to the ability for readily fabricated complex polymer structures possessing a wide range of mechanical behaviors, complete phononic bandgaps, and resonant architectures. In this review, polymer‐centric photonic and phononic crystals and metamaterials are highlighted, and basic concepts, fabrication techniques, selected functional polymers, applications, and emerging ideas are introduced.     

带隙可调光子晶体的研究进展

介绍了近几年带隙可调光子晶体的研究进展。带隙调节的机制主要有改变晶体材料的平均折射率和改变晶体的结构参数两种。综述了通过电场调制、磁场调制、压力调制、光照调制、温度调制和复合调制等实现带隙实时可调的研究进展,提出了目前存在的问题及研究方向。     

Linearization techniques for band structure calculations in absorbing photonic crystals

Band structure calculations for photonic crystals require the numerical solution of eigenvalue problems. In this paper, we consider crystals composed of lossy materials with frequency‐dependent permittivities. Often, these frequency dependencies are modeled by rational functions, such as the Lorentz model, in which case the eigenvalue problems are rational in the eigenvalue parameter. After spatial discretization using an interior penalty discontinuous Galerkin method, we employ a recently developed linearization technique to deal with the resulting rational matrix eigenvalue problems. In particular, the efficient implementation of Krylov subspace methods for solving the linearized eigenvalue problems is investigated in detail. Numerical experiments demonstrate that our new approach is considerably cheaper in terms of memory and computing time requirements compared with the naive approach of turning the rational eigenvalue problem into a polynomial eigenvalue problem and applying standard linearization techniques. Copyright © 2011 John Wiley & Sons, Ltd.     

Evolution of complete photonic band gap in anisotropic photonic quasicrystals using liquid crystals

Abstract

In this study, we analyse the evolution of complete photonic band gap in two-dimensional photonic structures by arranging the 12-fold symmetric quasicrystalline unit cells on square and triangular lattices. The unit cells composed of circular air holes in anisotropic tellurium background and the air holes are infiltrated with liquid crystal. Using the supercell method based on plane wave expansion, we study the variation of complete band gap by changing the optical axis orientation of liquid crystals.     

一维杆状声子晶体的带隙特性

用有限元方法计算了一维杆状声子晶体的振动传输特性及其振动模态,从振形角度分析了一维杆状声子晶体相关参数(物理参数、尺寸参数)对带隙起始频率及带隙宽度的影响,发现带隙的形成与其模态振形密切相关,各参数对声子晶体带隙的影响主要是影响了个模态所在的频率,从而改变了其带隙的起始位置及宽度。     

P波段吸波材料研究进展

吸波材料的出现极大改善了电磁环境,提升了武器装备的作战效能,但随着P波段探测技术的迅猛发展,研究具有"薄、宽、轻、强"特性的P波段吸波材料有着非常重要的意义。针对目前吸波材料存在的低频瓶颈,对传统吸波材料和超材料吸波体,从影响P波段吸收性能的因素及研究现状两方面进行了综述,并对未来P波段吸波材料的发展方向进行了总结与展望。     

Scattering characteristics of a chiral-coated cylindrical reflector embedded in a double-negative metamaterial

The scattering characteristics of a cylindrical reflector coated with a chiral material and embedded in a double-negative metamaterial have been studied using numerical simulation. The effects of double-negative metamaterial background media and chiral admittances of a chiral coating layer upon the co- and cross-polarized echo widths have been investigated. It is shown that a double-negative metamaterial background with relatively larger negative values of the permittivity and the permeability enhances the co-polarized echo width in the forward scattering direction and reduces this echo width in the backward scattering direction as compared to the free space background. It is further shown that by increasing the chiral admittance of a chiral-coated cylindrical reflector embedded in a double-negative metamaterial with fixed background parameters increases the co-polarized echo width in the forward and the backward scattering directions as compared to an achiral-coated cylindrical reflector embedded in the same double-negative metamaterial background.     

Organic semiconductor-based photonic crystals for solar cell arrays: band gap and optical properties

Photonic crystals (PCs) hold great potential for designing new optical devices because of the possibility of the manipulation of light with PCs. There has been an increase in research on tuning the optical properties of PCs to design devices. We design organic semiconductor-based PC structures and calculate optical properties using the plane wave expansion method and finite-difference time-domain method in an air background for a hexagonal lattice. We showed the possibility of the solar cell arrays for a 2D PC cavity on an organic semiconductor base infiltrated with a nematic liquid crystal. E7 type has been used as a nematic liquid crystal and 4,4′-Bis[4-(diphenylamino) styryl]biphenyl as an organic semiconductor material.     

光子晶体应用研究进展

光子晶体是一种具有光子带隙的新型材料,其概念提出比较早,距今已经过了30年。由于光子晶体具有很多新颖的特性,使其成为微纳光子学和量子光学的重要研究领域。随着微加工技术的进步和理论的深入研究,光子晶体在信息光学以及多功能传感器等其他多个学科中也得到广泛应用。本文从理论上详细综述了光子晶体的各种奇异特性,并从各种特性出发,详细介绍近年来光子晶体在光子晶体光纤、反射镜、滤波器、波导、低阈值激光器、多功能传感器、腔量子电动力学、偏振器、量子信息处理等领域的应用研究,并与传统的器件进行性能比较得出光子晶体器件具有无可比拟的优势。最后提出,随着3D打印制造技术的成熟,光子晶体材料必然会推动信息技术的新一轮革命。     

Structural and optical quality of binary photonic crystal heterostructures fabricated by the modified self-assembly method

Photonic crystal heterostructures constituting of two photonic crystals with different lattice constants are fabricated using the modified self-assembly method and their structural and optical properties are investigated. The results show that these photonic crystal heterostructures of high quality possess deep photonic band gaps and steep photonic band edges in their transmission spectra. Deep double photonic band gaps, steep photonic band edges and high transmittance in the pass band show good ordering of the heterostructure and may offer a probability for studying late-model ultra-fast all-optical switches.     

二维局域共振型声子晶体微腔结构的带隙特性研究

利用有限元法研究了含十字型所形成的二维局域共振型微腔声子晶体结构的声波带隙特性。同时计算了最低带隙带边对应模态的位移分布和结构的传输谱。研究结果表明,含微腔结构的声子晶体在较低频率域内出现了完全带隙且带隙边缘的起始频率低,然而对于无微腔结构的类四边形声子晶体板中,则无第二带隙出现,并且第一带隙频率宽度较窄。微腔结构是产生局域共振以及出现低频带隙的最主要的原因。该研究为声子晶体在低频减振和噪音控制的工程应用方面提供了有益的支持。