Theoretical model of a planar waveguide refractive index sensor assisted by a corrugated long period metal grating

A theoretical model of a novel planar integrated refractive index sensor based on surface plasmon-polariton (SPP) excitation with a corrugated metal long period grating (LPG) is presented and comprehensively investigated. The main principle of the operation this device is based on co-directional energy transfer by means of a corrugated metal LPG between a p-polarized guided mode propagating in a waveguide layer and the SPP propagating a metal layer separated from the waveguide layer by a buffer. The corrugated LPG is engraved in the metal layer in contact with the sensed medium. The power transmitted through the LPG in the guided mode serves as an input signal for an interrogation unit. This device is free from any moving parts and can be simply integrated into any planar waveguide system. Our sensor simulations are based on the local-normal-mode transfer matrix method and performed in telecom wavelength range.     

Numerical analysis of plasmon polarition refractive index fiber sensors with hollow core and a long period grating

The main principle of this design is based on the efficient energy transfer between the waveguide mode (WM) and the co-directional SPP provided by a properly designed fiber long period grating (LPG). This LPG is imprinted into a waveguide fiber layer of a specially designed hollow core optical fiber. The simulations are based on the finite element method (FEM) algorithm in electromagnetics and coupled mode theory for gratings. Compared to the previous proposed structure using a fiber Bragg grating (FBG), this novel kind of sensor can greatly enhance the refractive index sensitivity, e.g., from 5.93 nm/RIU (with FBG) to 817 nm/RIU (with LPG) at the sensing refractive index of 1.40. The other advantage is that the working conditions can be performed for the well-developed telecom wavelength windows 1500-1600 nm.     

Study and investigation of long period grating as refractive index sensor

In this paper, we have investigated the response of long period grating (LPG) as refractive index sensor. The response has been studied for refractive index variation ranging from 1 to 1.45. In this work, we found that the sensing mechanism is based on two different aspects. First is the change of coupling power from the guided core mode to other co-propagating cladding modes and second is the wavelength shift of the peak resonant wavelengths from their original positions due the change of refractive index of the environmental (external) medium surrounding the cladding of the grating.     

振幅掩膜紫外写入的长周期光纤光栅特性研究

振幅掩膜紫外写入的长周期光纤光栅的纤芯折射率分布函数为矩形波。以三层阶跃折射率光波导结构基础，用弱导标量近似和标量耦合模理论分析折射率调制类型为矩形波的长周期光纤光栅的特性。详细地给出耦合模方程近似处理的方法，并说明了其合理性。用数学软件Matlab进行了数值模拟计算，发现折射率调制类为矩形波的光栅传输谱不是由它的各次余弦光栅谱的线性叠加而成的。还研究了外部环境折射率、包层半径、栅占空比等光栅结构参量对矩形折射率调制的光栅传输谱的影响。同时指出了每阶包层模的双谐振峰位置随栅参量的变化规律。刊■刊『_型，刿j1     

基于LiNbO_3的长周期波导光栅可调谐耦合器的设计

设计了一种基于LiNbO_3的长周期波导光栅可调谐耦合器.该耦合器利用长周期光栅的独有特性将输入波导的导模经包层模耦合至输出波导导模.由于LiNbO_3的电光效应,波导光栅芯层与包层的有效折射率随外加电压变化,从而耦合器的谐振波长及耦合效率可由外加电压调谐.分析了光栅周期与耦合器的长度对耦合器带宽和耦合效率调谐范围的影响,以及波导尺寸对谐振波长调谐灵敏度的影响.结果表明光栅周期越短,耦合器长度越长,则耦合器的带宽越窄,耦合效率调谐范围也越大.此外,谐振波长调谐灵敏度随波导宽度的增加而减小,而波导厚度对谐振波长调谐灵敏度的影响可以忽略.对光栅周期为94μm、长度为3.52cm的耦合器进行仿真,结果表明,谐振波长灵敏度为26.2pm/V,3dB带宽可达4.5nm,当外加电压从0变化到200V时,谐振波长变化5.24nm,耦合效率可在1到0.15之间进行调谐.     

光子晶体光纤中级联长周期光栅双谐振波长干涉的研究

通过分析单模光纤SMF中的LPG对的传输特性及几个因素对干涉透射谱的影响,并结合前期工作,主要研究光子晶体光纤(PCF)中的LPG对在1665 nm附近U波段传输特性.结合光栅耦合强度与波长的关系以及拍长与波长的关系,对PCF中LPG对的参数进行选择设计,得到双谐振波长的干涉谱,级联LPG对构成的MZI干涉光谱在两个谐振波长处由于耦合强度不同而不同.     

Modelling of finite-size grating waveguide filters on the basis of a free-space diffraction approach

The field reflection coefficientR of a high strength and short length waveguide grating section is obtained by resorting to a free-space diffraction approach whereby the waveguide grating is excited by means of a virtual high index prism. The effective index of the guided mode, the coupling coefficient between contradirectionally propagating modes of the grating waveguide as well as the modal field are first obtained in the case of an infinite grating by interpreting the results given by an exact diffraction solution by means of a three-wave coupled mode formalism. These results are then introduced in the coupled wave analysis of the structure of finite extent to provide the field at the entrance of the waveguide grating section where the usual overlap integral with the incident field delivers the reflection coefficient. We neglect only the result of radiation mode propagation. This assumption can be made when the grating section is longer than the propagating length of all the leaky modes.     

Modelling of finite-size grating waveguide filters on the basis of a free-space diffraction approach

The field reflection coefficient R of a high strength and short length waveguide grating section is obtained by resorting to a free-space diffraction approach whereby the waveguide grating is excited by means of a virtual high index prism. The effective index of the guided mode, the coupling coefficient between contradirectionally propagating modes of the grating waveguide as well as the modal field are first obtained in the case of an infinite grating by interpreting the results given by an exact diffraction solution by means of a three-wave coupled mode formalism. These results are then introduced in the coupled wave analysis of the structure of finite extent to provide the field at the entrance of the waveguide grating section where the usual overlap integral with the incident field delivers the reflection coefficient. We neglect only the result of radiation mode propagation. This assumption can be made when the grating section is longer than the propagating length of all the leaky modes.     

相移长周期光纤光栅的光谱特性及其在光分插复用器中的应用

从耦合模理论出发,动用传输矩阵法对相移长周期光纤光栅（ＬＰＧ）的传输光谱进行了数值计算,着重分析了相移个数、切趾函数的发言为对光机特性的影响,在分析及联长周期光纤光栅传输特性的基础上,提出了一种新型的基于相移长周期光纤光栅的光分插复用器的结构设计方案。     

长周期光纤光栅温度稳定性分析及其改善

利用模式耦合理论推导出长周期光纤光栅(LPG)温度特性的一般关系式;通过测试周期为400～600μm的长周期光纤光栅的温度特性,确定了芯内导模与被耦合的不同包层模间的热光系数差,并结合长周期光栅温度特性关系式总结出长周期光栅温度灵敏度与光栅周期和耦合包层模阶次的对应关系;在理论与实验的基础上,提出了改善长周期光栅温度稳定性的方法。     

光子晶体光纤长周期光栅的谐振波长特性研究

利用有限差分法和耦合模理论分析了光子晶体光纤结构参数等因素对光栅周期调节长周期光栅谐振波长作用的影响,结果表明:对于同种光纤,可通过增大或减小光栅周期来减小或增大谐振波长;若占空比f增大或减小,可通过减小或增大光栅周期来保持谐振波长不变;若比例系数M增大或减小,可以成正比增大或减小光栅周期来保持谐振波长不变;在只是空气孔层数增加的系列光纤中,在长波处,为取得同一谐振波长,光栅周期需要增大数个m,但在短波处则正好相反;内层气孔对光栅周期调节谐振波长的作用影响较大,而第5层以外各层的影响十分微弱。综合利用这些规律,可以快捷地选择合适的光栅周期,高效率地制备有合适谐振波长的光子晶体光纤长周期光栅。     

Theoretical Research on Sensitivity for Resonance Wavelength of Long Period Fiber Grating

In a long period fiber grating(LPFG), the forward-propagating guided mode in the core is coupled to a number of co-propagating lossy cladding modes at resonance wavelengths. Sensitivity of resonance wavelength against temperature, axial strain, and external refractive index is modeled in this paper. Schemes for temperature compensation and enhanced wavelength tuning of LPFG are proposed and analyzed. Experiments show accordant results with simulations. Temperature coefficient of the LPFG compensated by means of axial strain is below 1.8 nm/100℃. For the LPFG with polymer recoating layer, the enhanced tuning range is more than 70 nm.     

Theoretical Research on Sensitivity for Resonance Wavelength of Long Period Fiber Grating

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Modeling of grating assisted standing wave,microresonators for filter applications in integrated optics

A wide, multimode segment of a dielectric optical waveguide, enclosed by Bragg reflectors and evanescently coupled to adjacent port waveguides, can constitute the cavity in an integrated optical microresonator. It turns out that the device can be described adequately in terms of an approximate coupled mode theory model which involves only a few guided modes as basis fields. By reasoning along the coupled mode model, we motivate a simple design strategy for the resonator device. Rigorous two dimensional mode expansion simulations are applied to verify the predictions of the approximate model. The results exemplify the specific spectral response of the standing wave resonators. As refinements we discuss the single resonance of a device with nonsymmetrically detuned Bragg reflectors, and the cascading of two Fabry–Perot cavities, where the coupling across an intermediate shorter grating region establishes a power transfer characteristic that is suitable for an add-drop filter.     

环境折射率变化对长周期光栅特性影响的研究

将长周期光纤光栅简化为三层阶跃折射率波导结构 ,采用弱导标量近似和泄漏模式的概念结合耦合模理论较全面地、定量地分析了环境折射率变化对长周期光纤光栅谐振峰位置和深度等特性的影响 ,获得了一些有益的结论 ,与实验符合得很好     

Photonic crystal fiber interferometer composed of a long period fiber grating and one point collapsing of air holes

We present an all-fiber interferometer fabricated with a single piece of an endless single-mode photonic crystal fiber (PCF) by an electric arc discharge. By forming a long period grating (LPG) at a point and collapsing the air holes at another point along the PCF, the simple but effective interferometer could be implemented. The LPG made a strong wavelength selective mode coupling between the core and cladding modes in the interesting wavelength range, while the air-hole collapse induced wavelength independent mode couplings. By cascading them, we could implement the all-fiber interferometer. As a potential application of the proposed all PCF interferometer, strain sensing is experimentally demonstrated.     

长周期光纤光栅传感器温度和应变灵敏度分析

从耦合模理论出发,分析了长周期光纤光栅的温度和应变灵敏度.结果表明,长周期光纤光栅的温度和应变灵敏度不仅与光栅周期和纤芯参数有关,还强烈依赖于包层参数.通过选择适当的参数,可以制成对温度(或应变)不敏感的应变(或温度)长周期光纤光栅传感器,从而可以解决光纤光栅传感器的温度和应变交叉敏感问题.同时,利用基模与不同包层模耦合时温度和应变灵敏度的不同,可以用一根长周期光纤光栅传感器同时测量温度和应变.     

TE0导模干涉刻写周期可调亚波长光栅理论研究

通过棱镜耦合激发非对称金属包覆介质波导结构中的TE₀导波模式, 利用两束TE₀模的干涉从理论上实现了周期可调的亚波长光栅刻写. 分析了TE₀模式的色散关系, 刻写亚波长光栅的周期与激发光源、棱镜折射率、光刻胶薄膜厚度及折射率之间的关系. 用有限元方法数值模拟了金属薄膜、光刻胶薄膜和空气多层结构中TE₀导模的干涉场分布. 研究发现, 激发光源波长越短, TE₀ 模干涉刻写的亚波长光栅周期越小; 光刻胶越厚, 刻写的亚波长光栅周期越小; 高折射率光刻胶有利于更小周期亚波长光栅的刻写. 相较于表面等离子体干涉光刻, 基于TE₀ 模的干涉可在厚光刻胶条件下通过改变激发光源、棱镜折射率、光刻胶材料折射率、特别是光刻胶薄膜的厚度等多种方式实现对亚波长光栅周期的有效调控.     

刻蚀光纤布拉格反射器特性的理论分析

从理论上研究了波导耦合型刻蚀光纤布拉格反射器的特性。采用正交模式耦合理论描述其中的光栅辅助正反向模式耦合，用非正交模式耦合理论描述输入输出接口的模式激发，给出了分析耦合波导布格瓣反射器的角析表达式，分析表明刻光张布拉格反应器中存在三种布拉格反应，在频谱中表现为六个分立的反射峰，与实验结果相符，其反射率不仅决定事系数，还与其结构参数，尤其是Ａｌ２Ｏ３层的厚度，Ａｌ２Ｏ３层与光纤芯的距离以及匹配层折射     

模式耦合理论在圆周对称长周期光纤光栅建模中的应用

长周期光纤光栅是不同于光纤Bragg光栅的一种光纤光栅器件 ,根据模式耦合理论 ,长周期光纤光栅表现为前向传播的纤芯导模和同向的各阶次包层模式之间的耦合。分析研究了长周期光纤光栅轴向的模场变化。忽略轴向的模式耦合以及包层模式之间的相互耦合作用 ,并认为折射率指数的调制只存在于纤芯中 ,建立了简化的长周期光纤光栅数学模型。对圆周对称轴向均匀型长周期光纤光栅谱特性进行了仿真 ,其结果与实验结果基本吻合 ,表明了简化的数学模型的合理性