DOUBLE PERIODIC PHOTONIC CRYSTAL WITH METAMATERIAL

In this paper, the reflection and transmission coefficients of multi-layer dielectric and metamaterial media are derived by transmission-line method. Then, it is applied to double periodic photonic crystal structure, which is composed of two thin dielectric layers sandwiched by two thin metamaterial layers. The results show the structure has a large passband and a monotonous symmetric rising band edges compared with that for a conventional photonic crystal structure. If a defect layer is introduced, the localized modes appear. Furthermore, the number of transmission peaks in the photonic crystal structure can be tuned by changing the thickness of the defect in the structure. This photonic crystal may find application to broadband reflectors and the multi-wavelength narrow band optical filters.     

光子晶体超窄带滤波器

本文利用光学传输矩阵法研究了一种类似于谐振腔结构的光子晶体.研究发现在这种光子晶体的光子带隙的中央存在一个极窄的透光窗口,窗口的宽度在红外波段1500nm附近可以做到0.0001nm以下,窗口内的透光率峰值可以接近100%,窗口以外的区域的透光率可以做到0.01%以下.通过改变所研究结构中的周期厚度、中间夹层厚度、两边光子晶体的周期重复数和波的入射角可以改变窄带透过窗口的位置和窄带的宽度.这种光子晶体可以用来制作超窄带滤波器,有望在光通信超密度波分复用技术和光学信息精密测量技术当中获得应用.     

Super Narrow Bandpass Filter Using Fractal Cantor Structures

In this paper, we present a new photonic crystal structure, which is composed of fractal Cantor multilayer with a defect embedded in its middle. Optical transmission matrix method is used to calculating the transmittance and reflectance. Compared with general Cantor multilayer, we find the new structure has wider stopband and shows a super narrow band in the middle of wider stopband. It can be served as a super narrow bandpass filter. The pass band obtained can be less than 0.6nm near the infrared 1530 nm. The optical transmission is the center wavelength is higher than 99 %. This means a very low insert loss. It is more superior to other kind narrow band filters. This kind of photonic crystal super narrow band optical filter may find applications in super dense wavelength division multiplexing for optical communications and precise optical measurement.     

Near-infrared tunable narrow filter properties in a 1D photonic crystal containing semiconductor metamaterial photonic quantum-well defect

The near-infrared (NIR) narrow filter properties in the transmission spectra of a one-dimensional photonic crystal doped with semiconductor metamaterial photonic quantum-well defect (PQW) were theoretically studied. The behavior of the defect mode as a function of the stack number of the PQW defect structure, the filling factor of semiconductor metamaterial layer, the polarization and the angle of incidence were investigated for Al-doped ZnO (AZO) and ZnO as the semiconductor metamaterial layer. It is found that the frequency of the defect mode can be tuned by variation of the period of the defect structure, polarization, incidence angle, and the filling factor of the semiconductor metamaterial layer. It is also shown that the number of the defect mode is independent of the period of the PQW defect structure and is in sharp contrast with the case where a common dielectric or metamaterial defect are used. The results also show that for both polarizations the defect mode is red-shifted as the number of the defect period and filling factor increase. An opposite trend is observed as the angle of incidence increases. The proposed structure could provide useful information for designing new types of tuneable narrowband filters at NIR region.     

渐变折射率光量子阱对束缚态能级的调整

在对称的均匀电介质材料光子晶体体系中插入另一折射率渐变的光子晶体可构成光量子阱结构.利用时域有限差分法计算了不同折射率分布光量子阱结构的传输谱.研究表明：束缚态是对处于垒光子晶体禁带中的阱光子晶体导通带的离散化,束缚态能级个数等于阱光子晶体结构单元的重复周期数；以渐变方式调整阱区折射率分布,可在特定频率范围内得到新的互不交叠的束缚态.这样在有限的禁带区域可以成倍增加光子束缚态而无需增大光量子阱结构的尺寸,使信道密度最大化、光波有效带宽的使用最优化.这种量子阱结构可用于制作超窄带滤波器和多通道窄带滤波器,有望在光通信超密集波分复用和光学精密测量技术中获得广泛应用. 关键词： 光量子阱 光子束缚态 渐变折射率 光子晶体     

超窄带和梳状多通道光子晶体滤波器设计

 设计了一种因掺杂而具有超窄带滤波特性的光子晶体滤波器和一种复周期结构的梳状多通道光子晶体滤波器。在两种均匀介质交替分布的周期结构中间插入一层折射率不同的介质膜后，通过传输矩阵法的数值计算，发现采用前后不对称的周期结构并调节参数，可以在1 550 nm处找到一个透射率接近100%的极窄的透过峰，因而可得到一种超窄带光子晶体滤波器。另外，在以高低两种折射率的介质交替分布，并以两种单独的单元周期合并组成一个复周期，然后进行周期重复构成的光子晶体中，利用通道数等于复周期数减1的规律，并配合各层厚度的调节，设计出在1 550 nm附近梳状8通道和16通道的光子晶体滤波器，各通道透过峰的透射率均接近100%，由此设计出一种梳状多通道光子晶体滤波器。     

Controlling dispersion and transmission spectra of hybrid resonant-gas-filled photonic-crystal optical components

Using the model of an infinite one-dimensional periodic layered structure, we consider the possibilities of controlling dispersion properties and transmission spectra of hybrid optical components consisting of photonic band-gap structures filled with a resonant gas. It is shown that the combination of resonance-enhanced gas dispersion with the dispersion of a photonic band-gap structure may give rise to new features in the dispersion and transmission of hybrid spectral elements. These effects can be employed to create narrowband filters and ultrarefractive prisms with controllable parameters.     

Transmission characteristics of photonic crystal waveguides with stubs and their application to optical filters

We study the transmission characteristics of a photonic crystal waveguide with a single stub of a finite length and propose a double-stub waveguide structure for its application to optical filters. The proposed device operates as a Fabry-Perot interferometer and can be used as a broad bandstop filter and a narrow bandpass filter. These filters are inherently compact and their center frequency is given by the resonant frequency of the stub.     

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     

Fiber-mesh photonic molecule

Analogous to the photonic crystal, we introduce the concept of a fiber-mesh photonic molecule made up of optical fibers and study its transmission characteristics. We consider a specific example of a photonic molecule, inspired by the well-known C₆₀ molecule, with the arms of the molecule formed out of single-moded optical fibers. The transmittance consists of sharp peaks determined by the pole structure of the scattering matrix in the complex energy plane. A molecule can be designed to control the positions and the widths of the transmission peaks, opening up the possibility of building new photonic devices such as high quality band-pass filters.     

缺陷态复周期光子晶体的特性研究

利用传输矩阵法计算复周期结构的光子晶体的色散关系和滤波特性 ,并重点研究了含有缺陷的类似于谐振腔结构的光子晶体滤波特性.由于这种缺陷态复周期结构的可调参数多,人们很容易得到在红外波段1550 nm附近窄带滤波窗口,透过率可达到近90%,而窗口以外的透过率在0.02%以下.当改变中间夹层厚度、周期数及缺陷层数时,窄带滤波窗口的位置和带宽发生改变.因此,它在高速,长距离光通信中将有很好的应用.     

基于一维光子晶体超晶格的多通道平顶透射特性

基于一维光子晶体超晶格理论及耦合腔理论,提出了一种具有多个平顶透射峰的超晶格结构.把传统单一材料的耦合腔换成有限周期的光子晶体结构,形成一种超晶格结构.通过使插入的光子晶体的光场有效耦合,能够产生多个平顶透射峰.运用传输矩阵法,研究了该结构的光谱特性以及结构和材料参量对透射峰的位置和半峰全宽的影响.计算结果表明,该结构具有较宽的带隙,并且多个平顶透射峰对称分布,透射率高,误差容忍度好.详细讨论了透射峰确切位置的计算方法,并给出了严格的解析表达式.     

Polarization Independent Three-Element Solc-Type Birefringent Optical Fiber Loop Filters

Polarization-independent birefringent optical fiber loop filters with narrowband transmission characteristics are studied. Using Jones matrix analysis, a three-element fiber loop filter structure, performing as a Solc-type narrow band filter is designed and fabricated. By selecting proper splice angles between these three elements as well as their birefringence, a narrowband, polarization-independent periodic optical filter with 0.63-nm transmission bandwith and 2.71-nm transmission period is realized     

Design and fabrication of optical filters with very large stopband (≈500 nm) and small passband (1 nm) in silicon-on-insulator

In this paper, we report on the design, fabrication and characterization of a broadband photonic crystal filter. Modeling with a genetic algorithm (GA) was used to investigate the effect of changing the number of periods and thickness ratios of a photonic crystal filter structure with two alternating materials. Theoretical optimized parameters were obtained as a function of wavelength for a photonic crystal filter with a very broad filter bandwidth as well as a very narrow transmission window. We used the determined optimum parameters at a wavelength of 1550 nm to fabricate the structure using e-beam lithography and inductively coupled plasma (ICP) etching. Experimental results show that the structure indeed has a very narrow transmission window and a low loss of just 4 dB. Hence, this structure can be regarded as a high precision filter for optical communication and photonic integrated chip technologies.     

Defect modes properties in periodic lossy multilayer containing negative index materials with symmetric and asymmetric geometric structures

In this paper, the characteristic matrix method is used to study the propagation of electromagnetic waves through one-dimensional lossy photonic crystals composed of negative and positive refractive index material layers with symmetric and asymmetric geometric structures with a defect layer at the center of the structure. First, the positive index material defect layer is considered, and the effects of the polarization and the angle of incidence on the defect mode in the transmission spectra of the both structures are investigated. The results show that the number of the defect modes in the transmission spectra depends on the geometry (symmetric or asymmetric) of the structure. In addition, it is shown that the defect mode frequency increases as the angle of incidence increases. This property is independent of the geometry of the structure. Then, for normal incidence, the negative index material defect layer is considered, and the properties of defect modes for both structures are investigated. The results can lead to designing new types of transmission narrow filters.     

Multiple narrow bandpass optical filters based on one-dimensional rugate photonic structures of two periodicities

A theoretical analysis of a design of multiple narrow bandpass filters based on one-dimensional (1D) rugate photonic structures with a period jump defect is presented. The optical properties, including transmittance and energy density distributions, are numerically calculated using the propagation matrix method. Our results show that multiple resonance transmission modes are produced when the period jump defect is introduced into the 1D rugate film. Both blueshift and redshift of the stop band of the rugate structure and wavelengths of resonant modes are observed, depending on the change of period jump. The number, the wavelengths, the band intervals, and the intensities of multiple resonance transmission modes are tunable by adjusting structure parameters of the rugate structure. Experimental feasibility of the proposed multiple narrow bandpass optical filters using the technique of glancing angle deposition is also discussed.     

正负折射率交替一维光子晶体窄带梳状滤波器

利用传输矩阵法计算了正负折射率交替一维光子晶体的带隙特性。结果表明这种光子晶体具有宽而平坦的禁带,窄而尖锐的通带。这种带隙特性是受到布拉格散射、法布里-珀罗谐振和n-=0禁带共同影响的结果,通带位置决定于法布里-珀罗谐振。在理论分析基础上设计出密集波分复用用窄带梳状滤波器,给出信道间隔为0.8nm的梳状滤波器的仿真结果。仿真结果表明这种梳状滤波器具有信道间隔窄、禁带平坦、通带极窄的特点。信道间隔可以通过改变一维光子晶体单元周期光学厚度调节。     

Improved narrow wavelength band blocking filters

A design approach is described to achieve spectral blocking filters of any spectral width and optical density for narrow blocking bands. We give new criterions to find the necessary number of layers from the desired bandwidth and optical density, and give new estimate equations which describe the number of layers required for designing a blocking filter of given bandwidth, high index, and optical density. This approach can be useful for laser line blocking, night vision filters, and many other general applications.     

实现多共振模的一维异质结构光子晶体

用两种正折射率材料设计了一维光子晶体异质结构模型,并利用传输矩阵法对该光子晶体的透射谱进行了理论研究。结果发现:光通过光子晶体时,在较宽的禁带范围内出现透射率为100%的多条共振模,且共振模的数目与光子晶体结构周期数m相对应;当入射角一定时,共振模的位置可以通过介质的折射率、厚度来调制;当入射光入射角度增大时,多共振模出现整体蓝移,同时共振模宽度变窄。这些特性有望应用于多通道窄带滤波器的设计。     

Comb-like optical transmission spectrum resulting from a four-cornered two-waveguide-connected network

In this Letter a four-cornered two-waveguide-connected network (FCTWCN) is proposed to generate comb-like optical transmission spectrum, where nearest-neighbor nodes are connected by two segments of one-dimensional waveguides. We investigate the band structure and transmission spectrum of electromagnetic waves propagating through FCTWCNs and find that the transmission through a FCTWCN exhibits periodic comb-like characteristic and the range, number and width of continuous equidistant frequency bands can be controlled by adjusting the lengths of the two types of segments. The comb-like frequency bands may be useful for the designing of optical switches, optical narrowband filters, high capacity telecommunications, and multichannel filters, etc.