MRTD算法在集成平面光波导组件分析中的应用

将基于Daubechies紧支集尺度函数的时域多分辨分析（MRTD）算法用于集成平面光波导组件的时域分析中,实现了MRTD算法的各向异性理想匹配层（APML）吸收边界条件,并对平行介质带定向耦合器进行了数值模拟和验证,所得结果与解析解非常一致.与传统的FDTD算法相比,MRTD算法在不牺牲计算精度的前提下能够大大节省计算资源.     

基于辅助差分方程的完全匹配层在时域多分辨率分析算法中的应用与性能分析

将基于辅助微分方程的完全匹配层(ADE-PML)吸收边界条件引入到基于Daubechies尺度函数的时域多分辨率分析算法中. 与目前广泛应用的Berenger完全匹配层(PML)和各向异性介质完全匹配层(APML) 相比, 该吸收边界条件的实现更加容易且更节省内存. 数值结果表明, ADE-PML在吸收传播模和低频凋落模方面均优于PML和APML.     

集成光学 集成光学、波导理论

TN252 2004053610 MRTD算法的APML实现及其在光波导仿真中的应用=Implementation and application of the APML absorbing boundary condition for MRTD method in simulation of planar waveguide[刊,中]/郭毅峰(山东大学信息科学与     

基于模式匹配法的平面波导光场分布分析

采用模式匹配法,对一个三段平面光波导结构的光场分布进行了计算机模拟,数值模拟结果正确地反映了一个宽波导与一个窄波导衔接后,在两者交接处的光波场泄露.该方法可用于分析结构更加复杂的光波导器件.     

垂直耦合结构纳米微环谐振器工艺失准分析

垂直耦合结构纳米微环谐振器是光子集成电路的重要组成单元.主要研究了与其实际制作相关的工艺失准问题.针对高折射率差波导材料垂直耦合结构纳米微环谐振器,先用耦合模理论解析方法研究了耦合系数与直波导和微环波导耦合层厚度d以及横向偏移量△之间的关系,为三维时域有限差分法(3D-FDTD)的精确数值计算确定了模拟范围.之后结合解...     

一种水平变化可穿透波导中声传播问题的耦合简正波方法

通过利用标准简正波程序KRAKEN计算本地简正波解及耦合矩阵, 进一步发展了求解水平变化波导中声场的全局矩阵耦合简正波方法(Luo et al., "A numerically stable coupled-mode formulation for acoustic propagation in range-dependent waveguides," Sci. China-Phys. Mech. Astron. 55, 572 (2012)), 使得该方法可以处理具有可穿透海底及随深度变化声速剖面等实际问题, 并提供声场的完全双向解. 本文还给出了双层波导中耦合矩阵的解析表达式, 并利用其验证了本方法中耦合矩阵数值算法的精度. 最后, 利用改善后的全局矩阵耦合简正波模型(DGMCM)计算了美国声学学会(ASA)提出的可穿透楔形波导标准问题, 将所得数值解与参考解比较, 结果表明DGMCM方法可以精确处理水平变化波导中声传播实际问题. 关键词： 耦合简正波理论 全局矩阵方法 可穿透楔形波导     

带有完美匹配层的光波导中模式的渐近解

对带有完美匹配层(PML)的光波导,通过W.K.B.方法,得到了关于波的模式的近似非线性方程.通过对该非线性方程进行渐近分析,得到了完美匹配层对波的各种模式的影响,推导出泄漏模的渐近解和Berenger模的渐近解.理论结果表明,对于光波导的横电(TE)模,泄漏模的渐近解和开放的波导是相同的,而对于横磁(TM)模,泄漏模的渐近解和开波导会有所不同;当上下包层的折射率不同时,Berenger模的轨迹会有两条,而折射率相同时Berenger模的轨迹只有一条.数值模拟表明,泄漏模及Berenger模的渐近解在其精确解附近,且随着模的增大.误差越来越小.     

水平变化波导中声传播问题的高效稳定耦合简正波解

提出了一种高效、精确而且数值稳定的耦合简正波方法,用于求解水平变化波导中的声传播问题.与现有的数值模型相比,本方法采用合理的归一化距离解,极大地提高了数值稳定性;通过结合一个前向传播过程和一个后向传播过程,该方法极大地提高了计算精度,可用于精确求解水平变化波导中的声传播问题,尤其适用于大角度斜坡以及海底与海水声阻抗差别...     

光子晶体方形谐振器波分解复用的特性

光通信系统设计中波分解复用器是分离光信号的一种关键部件,用于分离光信号的微型谐振器特性直接关系到波分复用(WDM,wavelength division multiplexing)解复用系统的工作性能。在二维光子晶体中逐步优化设计了基于光子晶体方形谐振器(PCSR,photonic crystal square resonator)的单信道WDM解复用结构,借助于耦合模理论(CMT,coupled-mode theory)定性分析了波导与谐振腔结构的电磁波耦合相互作用,并用时域有限差分法(FDTD,finite-difference time-domain)数值模拟了其结构工作特性。结果表明:基于PCSR设计的单输出端口WDM解复用结构在设计的参数范围中具有单谐振峰、中心波长宽调谐范围(1 501.4 nm~1 591.0 nm)、通带带宽窄(3.3 nm~9.1 nm)的特性。该结构可应用于WDM解复用光通信系统设计和光路集成设计等方面。     

一种多模干涉耦合器的性能模拟

为减小多模干涉（Multimode Interference ,MMI）耦合器件的尺寸,提出一种多模波导宽度为指数型变化的Taper结构.理论分析了多模波导长度与该Taper结构的参量之间的关系.与已被用于减小MMI器件尺寸的抛物线型Taper结构相比,该结构可进一步减小器件的尺寸.就几种波导结构参量下的MMI耦合器,利用宽角光束传播法进行了数值模拟.结果表明,指数型MMI耦合器的性能与抛物线型MMI耦合器的性能类似.指数型Taper结构可以用于MMI器件以减小该类器件的尺寸.     

Numerical analyses of optical couplers for planar waveguides

The paper presents the results of numerical analyses of optical structures realized in the form of planar waveguides made of materials with high values of the refractive index n ??1.85. The analysed structures consist of a waveguide and input-output systems. Input-output couplers are realized in the form of prisms as well as Bragg??s grating couplers. Numerical investigations were carried out by applying the finite difference time domain (FDTD) method.     

BOR-FDTD analysis of nonlinear Fiber Bragg grating and distributed Bragg resonator

Recently, nonlinear materials have attracted a great deal of attention because of their importance in designing new devices to meet a need range of optical systems. An intense investigation of the possibility of using these materials for all optical ultrafast applications is achieved by allowing their dielectric characteristics to be varied in such a way that a periodic perturbation of their refractive index along the length of the waveguide will be formed. The Finite-Difference Time-Domain (FDTD) method, on the other hand, has been proven to be one of the most powerful numerical techniques that are usefully applied to a wide range of optical devices. In this paper, a FDTD technique, developed for nonlinear structures, is used to analyze a nonlinear waveguide and periodic nonlinear structures that exhibit attractive properties that make them suitable for novel devices with wavelength tunable characteristics. More specifically, the Bodies of Revolution (BOR) FDTD numerical simulation method will be used to model the fiber Bragg Grating (FBG) and the direct integration method will be employed to include the effect of Self Phase Modulation (SPM) in this model. The combination of these techniques will result in a model that is used to analyze two different types of periodic nonlinear structure, FBG and Distributed Bragg Resonator (DBR). The nonlinear effect provides the designer an added degree of design flexibility for devices with wavelength tunable characteristics, for example, in the design of tunable filters, WDM systems and optical sensors.     

Rigorous analysis of 3D optical and optoelectronic devices by the Compact-2D-FDTD method

Continous advances in material technology, in the field of integrated optics and optoelectronics, allow the realization of devices with geometries more and more compact and complex. Because of this trend, there is a parallel need for accurate fully numerical CAD tools. Among new ones, the FDTD method, already widely and successfully used for the characterization of microwave and millimeter-wave devices, is emerging in optics community because of its accuracy and versatility. However, in spite of the tremendous increase in computing power, the applicability of the method is still limited by the typical dimensions of optical structures. To overcome these limitations a specialized version of the FDTD algorithm for the rigorous analysis of 3D optical and optoelectronic devices is proposed and validated. This new technique is then used to characterize the optical behaviour of a MQW waveguide electroabsorption modulator.     

Optical waveguide modelling and design for evanescent field chemical sensors

Abstact Analytical and numerical techniques are presented for determining the sensitivity of optical waveguides as evanescent wave absorption sensors. Analytical expressions based on a ray optics approach are derived for planar and multimode fibre sensors. The matrix method is used for multilayer structures to determine both the sensitivity and the effect of intrinsic waveguide losses. It is shown how more complex waveguide geometries such as fibres with a D-shaped cross-section may be assessed by the finite-difference method combined with perturbation analysis. Some examples are given demonstrating how the results enable the design of sensors with optimum sensitivity.     

Approximate analysis of planar photonic bandgap waveguides: a simple semi-analytical method

A semi-analytical approximate method, Vopt, is applied to a planar photonic bandgap (PBG) waveguide and a coupler configuration. The variational process of the Vopt method presents simple effective index analysis of the complex two dimensional (2-D) structures. The Vopt method expresses the refractive index profile of the 2-D structure as two 1-D refractive index profiles and obtains the optimized indices for the two structures iteratively. The Vopt method separates the planar PBG waveguide into an effective multilayer waveguide confining optical field in the lateral direction and a 1-D Bragg reflector that gives characteristic reflection/transmission spectra. The results obtained by the Vopt method show good agreement with the numerical results of the finite difference time domain analysis. The present analysis is helpful in understanding the optical properties of such complex waveguides and can be used as starting approximation for optimizing the structures for various applications.     

双折射光子晶体光纤传输特性分析

采用时域有限差分法对光子晶体光纤导模的传输特性进行数值分析,通过该法可得到任意横向结构光子晶体光纤的色散特性和双折射特性。为提高精度,在计算中应用了各向异性完全匹配层作为吸收边界条件。光子晶体光纤的传输特性完全由其横向结构决定。用时域有限差分法对一类对称结构和两类非对称结构光子晶体光纤进行了数值分析,计算结果表明经合理设计的非对称结构光子晶体光纤中可存在较高的双折射(其双折射可达0．07)。表明时域有限差分法可有效应用于分析和设计具有特定色散和偏振特性的光子晶体光纤。     

基于平板波导的小型红外光栅光谱仪光学设计

为实现红外光谱仪器的小型化,通过分析现有小型光谱仪,提出了一种基于平板波导的小型红外光栅光谱仪的设计方法。平板波导光谱仪的小型化原理与一般的微小型光谱仪不同。在平板波导光谱仪中,光束被限制在一层薄薄的平板波导介质中传播,看起来像是整个光学系统被压扁了。在垂直于平板波导的方向上光学元件的尺寸可以做到很小,从而显著减小光学系统的尺寸。该系统的设计可分为Czerny-Turner结构设计、波导结构设计。先根据像差理论设计Czerny-Turner结构,目标是保证光谱分辨率及校正像差;然后根据几何光学理论设计波导结构,包括平板波导和两个柱面透镜,目标是压缩光束并校正像散;最后将它们输入Zemax软件中进行综合优化,以获得最优的光学系统。据此方法设计了一个平板波导红外光栅光谱仪,工作波段为8~12 μm,数值孔径为0.22,采用线阵探测器。通过Zemax软件对结果进行分析和评价,表明仪器光学系统的尺寸为130 mm×125 mm×20 mm,工作波段内光谱分辨率达到80 nm,满足设计指标要求。证明了该优化设计方法是可行的,所得系统尺寸小、性能高。     

A general method for analyzing the multilayer planar waveguide

A general method for analyzing the multilayer planar optical waveguide is presented. This method can also be used to predict the evolution of a wave propagating in the multibranch planar waveguide. The numerical simulation results show that the prediction is correct.     

用转移矩阵法研究LNN型非线性平面光波导

用转移矩阵法数值分析了芯区和衬底为非线性介质、覆盖层为线性介质结构平面光波导的传播特性,包括TM的模场分布和功率与有效折射率之间关系的分析.解析地表达了模式本征方程和功率分布,对非线性介质中电场强度与介质非线性系数的关系进行了研究.计算结果表明,TM的模场分布和功率与有效折射率及介质的非线性系数有关.