Characteristics of local photonic state density in an infinite two-dimensional photonic crystal

The local density of photonic states （LDPS） of an infinite two-dimensional （2D） photonic crystal （PC） composed of rotated square-pillars in a 2D square lattice is calculated in terms of the plane-wave expansion method in a combination with the point group theory. The calculation results show that the LDPS strongly depends on the spatial positions. The variations of the LDPS as functions of the radial coordinate and frequency exhibit “mountain chain” structures with sharp peaks. The LDPS with large value spans a finite area and falls abruptly down to small value at the position corresponding to the interfaces between two different refractive index materials. The larger/lower LDPS occurs inward the lower/larger dielectric-constant medium. This feature can be well interpreted by the continuity of electricdisplacement vector at the interface. In the frequency range of the pseudo-PBG （photonic band gap）, the LDPS keeps very low value over the whole Wiger-Seitz cell. It indicates that the spontaneous emission in 2D PCs cannot be prohibited completely, but it can be inhibited intensively when the resonate frequency falls into the pseudo-PBG.

Photonic Band Modulation in a Two-Dimensional Photonic Crystal with a One-Dimensional Periodic Dielectric Background

A two-dimensional photonic crystal with a one-dimensional periodic dielectric background is proposed. The photonic band modulation effects due to the periodic background are investigated based on the plane wave expansion method. We find that periodic modulation of the dielectric background greatly alters photonic band structures, especially for the E-polarization modes. The number, width and position of the photonic band gaps （PBGs） sensitively depend on the structure parameters （the layer thicknesses and dielectric constants） of the one-dimensional periodic background,

Band gaps structure and semi-Dirac point of two-dimensional function photonic crystals

Two-dimensional function photonic crystals, in which the dielectric constants of medium columns are the functions of space coordinates , are proposed and studied numerically. The band gaps structures of the photonic crystals for TE and TM waves are different from the two-dimensional conventional photonic crystals. Some absolute band gaps and semiDirac points are found. When the medium column radius and the function form of the dielectric constant are modulated, the numbers, width, and position of band gaps are changed, and the semi-Dirac point can either occur or disappear. Therefore,the special band gaps structures and semi-Dirac points can be achieved through the modulation on the two-dimensional function photonic crystals. The results will provide a new design method of optical devices based on the two-dimensional function photonic crystals.

Comment on “Band gaps structure and semi-Dirac point of two-dimensional function photonic crystals” by Si-Qi Zhang et al.

Recently, Zhang et al. （Chin. Phys. B 26 024208 （2017）） investigated the band gap structures and semi-Dirac point of two-dimensional function photonic crystals, and the equations for the plane wave expansion method were induced to obtain the band structures. That report shows the band diagrams with the effects of function coefficient k and medium column ra under TE and TM waves. The proposed results look correct at first glance, but the authors made some mistakes in their report. Thus, the calculated results in their paper are incorrect. According to our calculations, the errors in their report are corrected, and the correct band structures also are presented in this paper.

Tunable Reflection Bands and Defect Modes in One-Dimensional Tilted Photonic Crystal Structure

We show theoretically that range of reflection bands and defect modes inside the band gap can be tuned by using a one-dimensional tilted photonic crystal (TPC) structure. A TPC structure is similar to the conventional PC structure with the only difference that in this case alternate layers are inclined at certain angle in the direction of periodicity of the structure. In order to obtain the reflectance spectra of the proposed structure transfer matrix method (TMM) has been employed. From the analysis of the reflectance curve, it is found that 100% reflectance range can be varied and enhanced by using TPC structure for both (TE- and TM-) polarizations. The enhancement in reflection bands increases as the tilt angle increases for both the polarizations and hence the enlarged omni-reflectance bands are obtained. Further, we study the properties of the defect modes in TPC structure by introducing the tilted defect at the different tilt angle. The results show that defect modes (tunneling modes) can be tuned at different wavelengths by changing the tilt angle of the structure without changing other parameters. Finally, the effect of variation thickness of defect layers on the tunneling mode has been studied for both TPC and conventional PC structure. The proposed model might be used as a tunable broadband omnidirectional reflector as well as tunable tunneling or transmission mode, which has potential applications in the field of photonics and optoelectronics.

Implementation of all-optical tristate Pauli X, Y and Z gates based on two-dimensional photonic crystal

In this paper, we have designed and simulated all-optical tristate Pauli X, Y and Z gates using 2D photonic crystal. Simple line and point defects have been used to design the structure. The performance of the structure has been analyzed and investigated by plane wave expansion(PWE) and finite difference time domain(FDTD) methods. Different performance parameters, namely contrast ratio(CR), rise time, fall time, delay time, response time and bit rate, have been calculated. The main advantage of the proposed design is that all the Pauli gates have been realized from a single structure. Due to compact size, fast response time, good CR and high bit rate, the proposed structure can be highly useful for optical computing, data processing and optical integrated circuits.

Study on ceramic photonic bandgap structure with three-dimensional diamond lattice

A novel process, which was based on powder injection molding, was investigated for the fabrication of ceramic photonic bandgap structure with three-dimensional diamond lattice. The SiO2-TiO2 ceramic powder was mixed with a water-soluble agent to produce slurry. The slurry was then injected into an epoxy mold with inverse diamond lattice, fabricated by the stereolitographic rapid prototyping process. To increase the density of the green compact, cold isostatic pressing was applied on the unit. Using thermal debinding, the water-soluble agent and the epoxy were extracted at 360 and 650 K, respectively. Sintering was immediately done at 950 K for 5 h and the desired three-dimensional ceramic structure was obtained. The calculated band diagram for this structure indicated the existence of an absolute photonic bandgap for all wave vectors. At 14.7-18.5 GHz, a complete band gap was located with a maximum attenuation of 30 dB at 17 GHz, when transmission was measured in the 〈100〉 direction between 10 and 20 GHz.

Two-dimensional near-infrared photonic crystal fabrication by generation of void channels in solid resin

Two-dimensional (2D) triangular void channel photonic crystals with different lattice constants stacked in two different directions were fabricated by using femtosecond laser micro-explosion in solid polymer material. Fundamental and higher-order stop gaps were observed both in the infrared transmission and reflection spectra. There is an approximately linear relationship between the gap position and the lattice constant. The suppression of the fundamental gap is as high as 70% for 24-layer structures stacked in the T-M direction.

High efficiency filtering using two-dimensional photonic crystal coupled cavity structures

Transmission spectra of coupled cavity structures （CCSs） in two-dimensional （2D） photonic crystals （PCs） are investigated using a coupled mode theory, and an optical filter based on CCS is proposed. The performance of the filter is investigated using finite-difference time-domain （FDTD） method, and the results show that within a very short coupling distance of about 3λ, where ）, is the wavelength of signal in vacuum, the incident signals with different frequencies are separated into different channels with a contrast ratio of 20 dB. The advantages of this kind of filter are small size and easily tunable operation frequencies.

Absolute band gaps in two-dimensional graphite photonic crystal

The off-plane propagation of electromagnetic (EM) waves in a two-dimensional (2D) graphite photonic crystal structure was studied using transfer matrix method. Transmission spectra calculations indicate that such a 2D structure has a common band gap from 0.202 to 0.2035 c/a for both H and E polarizations and for all off-plane angles form 0° up to 90°. The presence of such an absolute band gap implies that 2D graphite photonic crystal, which is much easier and more feasible to fabricate, can exhibit some properties of a three-dimensional (3D) photonic crystal.

Enhancement of light extraction efficiency in OLED with two-dimensional photonic crystal slabs

Light extraction efficiency of organic light emitting diode （OLED） based on various photonic crystal slab （PCS） structures was studied. By using the finite-difference time-domain （FDTD） method, we investigated the effect of several parameters, including filling factor and lattice constant, on the enhancement of light extraction efficiency of three basic PCSs, and got the most effective one. Two novel designs of ＂interlaced＂ and ＂double-interlaced＂ PCS structures based on the most effective basic PCS structure were introduced, and the ＂interlaced＂ one was proved to be even more efficient than its prototype. Large enhancement of light extraction efficiency resulted from the coupling to leaky modes in the expended light cone of a band structure, the diffraction in the space between columns, as well as the strong scattering at indium-tinoxide/glass interfaces.

Design and analysis of superlens based on complex two-dimensional square lattice photonic crystal

We theoretically demonstrate the imaging properties of a complex two-dimensional(2D) face-centered square lattice photonic crystal(PC) made from germanium cylinders in air background. The finitedifference time-domain(FDTD) method is employed to calculate the band structure and simulate image construction. The band diagram of the complex structure is significantly compressed. Negative refraction occurs in the second energy band with negative phase velocity at a frequency of 0.228(2πc/a), which is lower than results from previous studies. Lower negative refraction frequency leads to higher image resolution. Numerical results show that the spatial resolution of the system reaches 0.7296λ, which is lower than the incident wavelength.

Photonic crystals constructed by isostructural metal-organic framework films

Metal-organic framework(MOF)-on-MOF structure allows stacking various types of MOFs with different lattice constants for molecule sieving or filtering.However,the multilayered MOFs-based optical devices have incoherent interference due to the lattice-mismatch at the interface and refractive index(RI)indifference.This paper reports isostructural MOFs-based photonic crystals(PCs)designed by stacking Bragg bilayers of lattice-matched MOFs thin films through a layer-by-layer assembly method.Colloidal nanoparticles(NPs)were homogenously encapsulated in some layers of the MOFs(HKUST-1@NPs)to tune their intrinsic RI during the spraying coating process.The isostructural MOFs-based PCs were constructed on a large scale by sequentially spraying coating the low RI layer of HKUST-1 and high RI layer of HKUST-1@NPs to form the desired number of Bragg bilayers.X-ray photoelectron spectroscopy(XPS)depth profiling proved the Bragg bilayers and the homogenous encapsulation of nanomaterials in certain layers of MOFs.Bandwidth of the PCs was tailored by the thickness and RI of the Bragg bilayers,which had a great consistent with finite difference time domain(FDTD)simulation.Importantly,reflectivity of the isostructural MOFs-based PCs was up to 96%.We demonstrated high detection sensitivity for chemical sensing on the PCs,which could be advanced by encapsulating different types of nanomaterials and designing wide-band isostructural MOFs-based PCs.

Large group-index bandwidth product empty core slow light photonic crystal waveguides for hybrid silicon photonics

This paper investigates the slow light propaga- tion in silicon on insulator wide slot photonic crystal waveguides （PCWs）. Two design schemes are presented, relying on the dispersion engineering of hole lattice and slot, respectively. Mode patterns and band diagrams are calculated by 3D-plane wave expansion method. Then, coupling and slow light propagations are modeled using finite difference time domain method in a full Mach- Zehnder interferometer （MZI）. Results show high amplitudes interference fringes and high coupling efficiencies. Fabrication and measurement of devices lead to slow light propagation with group indices above 50, while multiple scattering and localized modes near the band edge also observed. This study provides insights for losses in hollow core slot high group index waveguides.

Review of design principles of 2D photonic crystal microcavity biosensors in silicon and their applications

In this paper, we reviewed the design principles of two-dimensional （2D） silicon photonic crystal microcavity （PCM） biosensors coupled to photonie crystal waveguides （PCWs）. Microcavity radiation loss is con- trolled by engineered the cavity mode volume. Coupling loss into the waveguide is controlled by adjusting the position of the microcavity from the waveguide. We also investigated the dependence of analyte overlap integral （also called fill fraction） of the resonant mode as well as the effect of group index of the coupling waveguide at the resonant wavelength of the microcavity. In addition to the cavity properties, absorbance of the sensing medium or analyte together with the affinity constant of the probe and target biomarkers involved in the biochemical reaction also limits the minimum detection limits. We summarized our results in applications in cancer biomarker detection, heavy metal sensing and therapeutic drug monitoring.

Enhanced absorption of solar cell made of photonic crystal by geometrical .design

In this paper, via numerical simulation we designed the geometry of solar cell made by onedimensional （1D） and two-dimensional （2D） photonic crystals with two kinds of materiel （silicon （Si） and hydrogenated amorphous silicon （a-Si：H）） in order to enhance its absorption. The absorption characteristics of light in the solar cell structures are simulated by using finite-difference time-domain （FDTD） method. The calculation results show that the enhancement of absorption in patterned structure is apparent comparing to the unpatterned one, which proves the ability of the structure to produce photonic crystal solar cell. We found solar cell geometries as a 2D photonic crystal enable to increase the absorption between 380 and 750 nm.

光子晶体及其应用研究

光子晶体的概念于 1 987年提出 ,1 991年世界上研制出第一块光子晶体。本文概述了光子晶体的性质 ,阐述了其特有性质所带来的应用和制作光子晶体的主要方法 。

光子晶体负折射效应的电光偏转器

本文提出并设计了一种基于光子晶体负折射效应的电光偏转器,通过电压改变5CB相列型液晶分子的指向矢从而改变其折射率,并对电光偏转器进行偏转控制。应用平面波展开法(PWE)和二维时域有限差分法(2D-FDTD),对光子晶体的负折射特性和自准直特性进行仿真,实现了光路的分离与偏转。仿真结果表明,该电光偏转器可实现20°的较大偏转,而且偏转角随折射率呈线性变化。

导模共振效应光子晶体滤波器光谱检测稳定性的研究

由于光子晶体滤波器带宽窄和高灵敏度的特点,检测抗体含量极限可以达到ng·mL-1。可以应用于生物传感器监测生物大分子内部反应过程。一维光子晶体滤波器作为生物传感器换能元件将生物信息转化为可检测的光电信号信息,主要反应在光谱仪测得共振波峰所在波长的变化。精确测试时,检测传感系统的稳定性是首要考虑的关键因素。稳定性决定实验数据的有效性。该工作对所制备的基于导模共振效应的一维光子晶体滤波器结构进行形貌和光谱测试,介绍了实验室所搭建的实时检测传感系统。由于系统集成度、耦合损耗等因素的影响,光谱信息出现一定的噪声信号。因此,重点提出利用Lab VIEW编程实时监控光子晶体滤波器共振波峰值随时间的变化,由光谱变化情况来反应本套检测系统的稳定性和测试数据的有效性。同时这种实时监控程序也可用来监控其他基于导模共振生物传感系统的稳定度。该检测系统由于震动,光源抖动等问题产生的共振峰值漂移为0.25nm,通过与模拟计算结果比较可以判定系统稳定性可以达到试剂检测的要求。

高阻接地面圆波导介质天线实验研究

高阻表面是一种局域谐振型微波光子晶体.本文采用高阻表面作为圆波导介质天线的接地面,并通过实验对其辐射方向图进行了研究.由于高阻表面具有明显的表面波带隙,所以与普通金属接地面相比,采用高阻接地面的圆波导介质天线可以抑制接地面上径向传播的表面波,减小由于表面波绕射而引起的旁瓣电平,提高天线的增益.根据实际测量,当天线的工作频率落在高阻接地面的表面波带隙内时,天线的增益提高了约2dB,背瓣降低了约8～10dB,效果非常明显,与我们的预期结果一致.