Optical properties of high-order band gaps in one-dimensional photonic crystal

Plane wave expansion method and transfer matrix method have been used to study the optical properties of eighty ninth photonic band gaps (PBGs) in one dimensional photonic crystal (1DPCs) with a form of Si (air|Si)₈. The results show that high order PBGs (HR-PBGs) in normalize dispersion curves have slower convergence speed than low order PBGs (LR-PBGs) and appear periodic detergency phenomena with the increasing of Λ/λ values (where Λ is the constant of one dimensional lattice and λ is wavelength) and their band widths and central wavelengths are more sensitive to fabrication errors than that of LR-PBG. Finally, some special forms of Si (air|Si)₈ structure with input and output rib waveguides are fabricated on Silicon-on-Insulator (SOI) materials by semiconductor micromachining technology. By measuring and analyzing their insertion loss spectra, we demonstrate that the HR-PBGs of 1DPCs also have the potential application in integration optics.     

传输可见光的空芯光子带隙光纤的研究

利用全矢量平面波展开法(FVPWM)对采用改进的两次堆积法制备的空芯光子带隙光纤进行了数值模拟.在特定传播常数β下,光纤在500—1000 nm的波段内出现多条宽窄不同的有效光子带隙.依据有效折射率的不同,部分带隙中的空气-导模将以不同的形式存在.经过实验测试,发现测得的带隙位置相对于模拟结果向短波段发生了较明显的移动,主要原因被认为是光纤结构的纵向不均匀性和包层节点处间隙孔的存在. 关键词： 空芯光子带隙光纤 全矢量平面波展开法 有效光子带隙 空气-导模     

Absolute photonic band gaps of two-dimensional square-lattice photonic crystals with Taiji-shaped dielectric rods

A novel structure of two-dimensional (2D) square-lattice photonic crystal (SLPC) composed of Taiji-shaped dielectric rods imbedded in air is constructed and the properties of absolute photonic band gap (PBG) are theoretically analyzed in both the number and width by Plane Wave Expansion Method (PWM). By comparing the absolute PBGs in 2D SLPCs consisting of four shapes of rods with different symmetries (circle, button, semicircle and Taiji) at the same filling ratio, we find that both the number and width of absolute PBG significantly increase with the breaking of scatterer's symmetry, and the Taiji-shaped rods with the poorest symmetry can attain both the most number and the largest width of absolute PBGs. Additionally, we also study the influence of dielectric constant ε and three geometric parameters of Taiji-shaped scatterer on the absolute PBG and discover that the SLPC with Taiji-shaped rods can generate at most nine absolute PBGs and the largest absolute PBG with the width 0.0485 (ωa/2πc).     

A Novel Woodpile Three-Dimensional Terahertz Photonic Crystal

A novel woodpile lattice structure is proposed. Based on plane wave expansion （PWE） method, the complete photonic band gaps （PBGs） of the novel woodpile three~dimensional （3D） terahertz （THz） photonic crystal （PC） with a decreasing symmetry relative to a face-centred-tetragonal （fct） symmetry are optimized by varying some structural parameters and the highest band gap ratio can reach 27.61%. Compared to the traditional woodpile lattice, the novel woodpile lattice has a wider range of the filling ratios to gain high quality PBGs, which provides greater convenience for the manufacturing process. The novel woodpile 3D PC will be very promising for materials of THz Junctional components.     

温度对液晶填充光子晶体光纤传输特性的影响

利用液晶的折射率是温度和波长函数的特性,在光子晶体光纤(PCF)芯区的空气柱中填充向列相液晶,通过改变温度来改变液晶的折射率,构成了一种温度凋制光子晶体光纤.用阶跃有效折射率模型研究了温度对这种光子晶体光纤在不同光波长时传输特性的影响,并进行了数值计算.结果表明液晶填充使光子晶体光纤的色散减小,由于折射率对温度和波长变化敏感,改变温度可以使光纤在长波长区域出现单模传输,在短波长时不会出现单模传输,即使包层相对孔径很小也不会出现无截止单模传输.温度升高使光纤的色散值增大,零色散波长向短波长方向移动.这些特性对温度调制光子晶体光纤器件的设计和应用具有一定的参考意义.     

Graphene based photonic crystal optical filter: Design and exploration of the tunability

Optical characteristics of two new graphene based photonic crystals are studied in detail. A structure containing alternating layers of graphene and SiO₂ slabs is considered as the ideal crystal. The dependency of the photonic band gaps (PBGs) to the dielectric layer thickness and the period number is explored at first step. Potential of the proposed crystal to be used as an optical filter is then investigated. Adding a nonlinear electro-optic polymer as a defect layer, the alterations of the optical features are inspected. Results show that the defect layer insertion causes a resonant mode inside the PBGs. However, the location of the defect layer inside the crystal is very effective on both the frequency and width of the resonant mode. Tunability of the optical features is probed by taking into account of the dependencies to the wave incident angle, graphene chemical potential and the applied external voltage to the defect layer.     

Polarization characteristics of chiral photonic crystal fibers with an elliptical hollow core

The theoretical study of dielectric-chiral photonic crystal fiber(PCF)with an elliptical hollow core is presented.The band structure of chiral photonic crystal(PhC)is calculated by using a modified plane-wave expansion(PWE)method.By examining the out-of-plane photonic bandgaps(PBGs)of chiral PhC,a kind of chiral PCF with a hollow core is designed and their eigenstates are calculated.The distributions of mode field and polarization state are demonstrated,and how the structural asymmetry of the core together with the chirality in the background affects the modal polarization is discussed.The dependences of birefringence on chirality for different ellipticities of core are investigated.     

Bandgap properties of Kagomé photonic crystal fibers

Photonic crystal fibers (PCFs) can guide light by the photonic bandgap (PBG) effect created by the periodically arranged air holes in the cladding. In this paper, the bandgap properties of Kagomé photonic crystal fibers (KPCFs) are investigated in detail. First, the bandgap properties of PCFs based on the basic Kagomé lattice are analyzed and compared with the PBGs of PCFs based on honeycomb and triangular lattices. We highlight the similarities between KPCFs and honeycomb PCFs in their PBGs, both having air-guiding regions only at very large air filling fractions (AIFs), whereas the PBGs of triangular PCFs can have large air-guiding regions at smaller AIFs due to the difference in the gap structure. In the second half of this paper, we show how the PBGs of KPCFs can be modified by introducing an extra air hole into the vacant space of the original lattice. In particular, KPCFs with medium-sized air holes can be designed to guide air by introducing extra air holes of a larger size. The air-guiding regions of KPCFs with very large air holes can also be greatly extended by the extra air holes. These air-guiding regions occur at higher normalized frequencies, resulting in larger air hole pitches favorable for fabrication. PACS 42.70.Qs; 42.25.Bs; 42.81.Qb     

基于自发辐射相干效应的可调光子带隙反射率的提高方法

光子带隙是指某一频率范围的波不能在周期变化的空间介质中传播,即这种结构本身存在“禁带”,并已成功地应用于滤波器、放大器和混频器等器件的设计中.此前,许多专家都致力于提高带隙的反射率,但其只能逐渐接近1.本文在囚禁于一维光晶格中的冷原子介质中实现两个可调光子带隙,并通过选择两基态为精细结构的三能级∧型原子系统,考虑自发辐射相干效应来探究这两个带隙的反射率.适当调节参数,探测场出现增益,从而获得较高反射率的带隙结构,甚至可以超过1.此外,两个带隙反射率还可以通过调节偶极矩之间的夹角以及非相干驱动场强度等参数来操控.     

Dual photonic band gap and reversible tuning of 3D photonic crystal fabricated by multiphoton polymerization with photoresponsive polymer

A 3D woodpile photonic crystal (PhC) composed of two parts with different periodic parameters was fabricated with a novel photoresist containing photoresponsive azobenzene moieties by multiphoton polymerization. Dual photonic band gaps (PBGs) were experimentally measured, which were attributed to two independent parts of the 3D PhC with different periodicities. Under light irradiation, PBG tuning of 36 nm was obtained, and this tuning behavior showed good reversibility.     

Study on the anisotropic photonic band gaps in three-dimensional tunable photonic crystals containing the epsilon-negative materials and uniaxial materials

In this paper, the properties of anisotropic photonic band gaps (PBGs) for three-dimensional (3D) photonic crystals (PCs) composed of the anisotropic positive-index materials (the uniaxial materials) and the epsilon-negative (ENG) materials with body-centered-cubic (bcc) lattices are theoretically studied by a modified plane wave expansion (PWE) method, which are the uniaxial materials spheres inserted in the epsilon-negative materials background. The anisotropic photonic band gaps (PBGs) and one flatbands region can be achieved in first irreducible Brillouin zone. The influences of the ordinary-refractive index, extraordinary-refractive index, filling factor, the electronic plasma frequency, the dielectric constant of ENG materials and the damping factor on the properties of anisotropic PBGs for such 3D PCs are studied in detail, respectively, and some corresponding physical explanations are also given. The numerical results show that the anisotropy can open partial band gaps in such 3D PCs with bcc lattices composed of the ENG materials and uniaxial materials, and the complete PBGs can be obtained compared to the conventional 3D PCs containing the isotropic materials. The calculated results also show that the anisotropic PBGs can be manipulated by the parameters as mentioned above except for the damping factor. Introducing the uniaxial materials into 3D PCs containing the ENG materials can obtain the larger complete PBGs as such 3D PCs with high symmetry, and also provides a way to design the tunable devices.     

Multi-wavelength photonic band gaps based on quasi-periodically poled lithium niobate ordered in Fibonacci sequences

We demonstrate a quasi-periodic structure exhibiting multiple photonic band gaps （PBGs） based on sub- micron-period poled lithium niobate （LN）. The structure consists of two building blocks, each containing a pair of antiparallel poled domains, arranged as a Fibonacci sequence. The gap wavelengths are analyzed with the Fibonacci sequence parameters such as the quasiperiodic indices and the average lattice parameter. The transmission properties are investigated by a traditional 4×4 matrix method. It has also been proved that the gap depth can be tuned by the lengths of poled domains.     

Simulation and fabrication of THz waveguides with silicon wafer by using eye-shaped pillars as building blocks

Silicon-based photonic crystal is a promising material for terahertz (THz) waveguide due to its high refractive index contrast. In this work, we introduce eye-shaped pillars as the feature building blocks for two-dimensional (2D) photonic crystals. The simulation study shows that larger TE mode band gaps (PBGs) can be created by the arrangement of dielectric eye-shaped pillars in air. The reflective spectra demonstrate that there are complex PBGs, where the peak position and intensity can be changed by varying the parameter e. Moreover, the peak of reflective spectra exhibits an obvious blue shift with the increase of incidence angle of light. When the vacant space in the structure is filled by polystyrene (PS) microspheres of 2 μm in diameter, the peak intensity of reflective spectra reduces significantly compared with that without PS microspheres, which suggests that this design can act as a sensor in the fields of biology, agriculture or medicine.     

Extremely low optical transmittance in the stopbands of photonic crystals

We demonstrate extremely low transmittance characteristics of photonic crystals (PhCs) with a finite thickness in specific photonic bandgaps (PBGs) through numerical simulation, and clarify its origin. Some of the PhCs support decaying Bloch eigenmodes, whose propagation constant (real part of the Bloch wavenumber) as well as their decay constant (imaginary part) changes with frequency inside the bandgap. Such a class of modes can interfere destructively at the exit end of the crystal depending on their round-trip phase change, which creates comb-like valleys in their transmission spectra.     

基元配置对二维光子晶体不同能带之间带隙的调节和优化

介绍一种方法来调节和优化二维光子晶体不同能带之间的带隙.在单胞中任意位置增加一个基元,可以调节不同能带之间的带隙.而且固定两个基元的最佳位置,调节两个基元柱体边长,可以找到一个合适的配置,使各自的带隙相对带宽达到更大值.同时结果也表明双基元情况下,不同能带之间带隙优化对系统对称性要求不同,频率越高处的带隙优化要求系统对称性越低. 关键词： 光子晶体 带隙 配置 对称性     

Theoretical predictions of photonic properties of nanoporous copolymer films as photonic band gap materials using FDTD

Block copolymers (BCPs), which self-organize into ordered 1-, 2- and 3-dimensional periodic equilibrium structures, can exhibit photonic band gaps (PBGs). In this paper, cylinder microdomain nanoporous films are proposed to be treated as a new kind of 2-dimensional BCP based photonic crystal. The minor component of the nanoporous films has been removed chemically with only pores left in order to enhance their dielectric constant contrast, which provides a new solution to achieve necessary PBG properties with BCPs. The finite-difference time-domain (FDTD) method is used to investigate band features of this kind of photonic crystal theoretically. It is noted that the complete band gaps for the H polarization are obtained, although for the E polarization only the incomplete gaps exist. In addition, the gap map of the PBG materials is presented and its characteristics are analyzed. PACS 42.70.Qs; 42.70.Jk; 42.25.Bs     

Self-imaging effect in photonic crystal multimode waveguides exhibiting no band gaps

The properties of the propagating field in multimode photonic crystal waveguides (PCWs) exhibiting no photonic band gaps (PBGs) are investigated. The transmission spectrum shows that the input field can be guided with high efficiency, and resemble index-guided modes owing to the combination of total internal reflection (TIR) and distributed Bragg reflection (DBR). Self-imaging effect happens and the filling fraction determines the beating lengths. The rows of air holes decide DBR coming from the mirrors on both sides of the guiding region, which governs the transmission spectrum. It provides a new way to realize the components for both polarizations by combining PBG and TIR effects in PCWs.     

Temperature effect on the tenability of an eight-channel demultiplexer

A new tunable wavelength division multiplexing (WDM) with a two-dimensional photonic crystal structure using (Multi-layer on InP substrate) is proposed. By tuning the temperature of the photonic crystal, the refractive index of the InP as well as the selected wavelengths can be changed. We show that the designed WDM has the ability to tune eight wavelengths by different values of temperature. The proposed filter has a cross section equal to 16.5 μm × 6.5 μm. The Results of the tenability has been done numerically by using the finite difference time domain (FDTD) method. We can use the proposed structure as temperature sensing device, and in many optical systems.     

基于太极形介质柱六角光子晶体禁带特性研究

提出了一种新型的非对称性散射体的二维六角晶格光子晶体结构–-太极形介质柱光子晶体. 利用平面波展开法从理论研究这种光子晶体结构的能带特性以及结构参数对完全禁带的影响. 研究表明:散射体对称性的打破, TE模和TM模能带宽度和数目都会有所增加, 有益于获得更宽的完全禁带以及更多条完全禁带.通过参数优化, 发现在ε = 17, R=0.38 μm, r=0.36R, θ = 0° 时, 获得最大完全带隙宽度0.0541(ωa/2πc); 在ε = 16, R=0.44, r=0.2R, θ = 0°时, 光子晶体完全带隙数目最多达到8条. 关键词： 光子晶体 禁带 平面波展开     

Huge photonic band gaps with strong attenuations resulted from quasi-one-dimensional waveguide networks composed of triangular fundamental loops

In order to design systems generating large photonic band gaps (PBGs), in this paper we construct interesting quasi-one-dimensional (quasi-1D) periodic triangular, diamond, and tetrahedral networks composed of 1D waveguides and triangular fundamental loops. The optical frequency band structures and photonic attenuation behaviors of electromagnetic (EM) waves propagating in the three kinds of one- and two-segment-connected (1SC and 2SC) networks without dissipation are, respectively, investigated and we find that huge PBGs can be produced in the middle of a frequency period and the widths of the largest PBGs can be controlled by adjusting the matching ratio of waveguide length. When the ratio equals 2:1, the width of the hugest PBG resulted in tetrahedral network reaches 0.73 times of a frequency period and is about 1.16 times of the best result reported previously. The average attenuations of the largest PBGs are very strong and increase rapidly with the increment of the number of unit cell. This makes our designed networks with very few unit cells exhibit wonderful PBG features and they can be realized in experiments easily. It may be useful for the designing of optical devices with large PBG and strong attenuation.