里兹方法在光波导理论中的应用

本文讨论了在三层平板介质波导中TE波的传播问题.三层平板的芯区由Kerr介质构成,其折射率平方(n²)的剖面分布随x作抛物分布变化.本文将应用变分法中的里兹方法,求出亥姆霍兹方程的第一级近似的解析解.     

非线性包层光纤中TE0模的传播特性分析

本文对具有Kerr非线性包层和线性匀芯的光纤在不同光功率下的传播特性进行了理论分析和数值计算.结果表明,在适当光功率下,当模折射率N等于芯折射率n_f时,芯场变得相当均匀,而包层场迅速衰减.对于自聚焦包层,当从N<n_f逐渐变到N>n_f时,芯场剖面越过N=n_f从凸变凹.在拐点,芯场成为均匀的.论文给出了模场分布和光功率与模折射率的关系.指出纤芯出现匀场预期会在光纤器件、光电子器件、光子器件中得到应用.     

非对称金属包覆左手介质平板波导的微扰分析

基于微扰方法分析非对称金属包覆左手介质平板波导的特性,给出了该波导的复有效折射率的一级近似解,并对波导的传输特性和损耗特性进行了数值模拟.结果表明：非对称金属包覆左手介质平板波导没有零阶模式|TE1模传播系数随波导厚度的增加迅速减小,损耗系数随波导厚度的增加快速增加,达到最大值后又迅速减小|非对称金属包覆左手介质平板波导传输特性相对于左手介质三层平板波导传输特性发生了很大改变,TM1模,TM2和 TE2模式以及更高阶模式在截止厚度附近出现双值现象|特别在二阶及高阶模式中,TE模式相对于TM模式具有高传输低损耗的特性,而以右手介质为芯层的金属包覆波导不具有这一特性.     

阵列波导光栅解复用器输入/输出波导结构串扰的数值分析

本论文采用Marcatili方法分析矩形波导的模场特性,在此基础上计算了AWG波分复用/解复用器串扰与输入/输出波导间隙参数(dr/w),波导结构参数V的变化关系.计算了串扰值一定时,选取V参数与dr/w的关系曲线.分析了在不同折射率差波导中,串扰与偏振的相关性,为器件的整体优化设计提供了参考数据.     

多通道声光偏转选址开关

本文报道1×N多通道声光偏转选址开关的研究.由 Ti 扩散 LiNbO₃波导上两个短程透镜和一个倾斜 chirp 叉指换能器构成的集成光学声光偏转器,在两端分别对接一根和N根单模光纤时,用作多通道选址开关,在换能器带宽为200MHz,对1.3μm波长,可实现N=24;带宽增加到500MHz,可达到N=64,在波长为0.633μm的 He-Ne 激光下进行的实验和理论符合.     

平面波导型对称星型耦合器的优化设计

通过有限差分波束传播法(FD-BPM)研究了N×N平面波导型星型耦合器的优化设计思想和方法,并通过17×17星型耦合器的模拟设计证明了它的可行性.给出了在输出端引入辅助波导的方法,以提高输出波导阵列的均匀性.并通过模拟计算,分析了圆心缩入程度和锥形区的形状对输出结果的影响.此法也同样适合于N值更大的星型耦合器.     

线性剖面克尔材料分层板波导中光波的传播

对三层板波导中光波传播问题进行了讨论.芯材料是克尔型介质,其折射率平方(n²)剖面分布随x作线性变化.此时芯区的亥姆霍兹方程约化为Painleve方程,利用Laurant级数可得到其近似解.     

三维声学多层快速多极子边界元及其应用

快速多极子边界元算法可以加速矩阵和向量乘法运算, 将传统边界元算法的计算量和内存占用量分别降为O(N log²N)和O(N), 适用于大型声学模型模拟计算. 本文发展了一种基于Burton-Miller方程的三维多层声学快速多极子边界元算法. 将新的自适应树状算法应用到对角形式的快速多极子边界元算法, 并使用最新提出的解析式源点矩计算公式, 进一步提高了快速多极子边界元的计算效率. 绝对软球体在内部共振频率处的散射声场计算, 验证了所发展算法在共振频率处求解的正确性. 与Bapat所提供的程序在多脉动球体辐射声场计算精度的比较, 验证了算法及程序在大型模型声学计算中的准确性, 同时显示了其求解的高效性. 最后, 将该算法用于车内声场及水下声学探测的分析计算.     

Pockels介质平板中的光波传输

本文讨论了非线性对称平板波导中的TE波的偶模及奇模的传输问题.平板波导的芯区材料是由Pockels介质所构成,包层与衬底是相同的线性材料.Pockels介质的介电系数为ε=n²+α|E|,故问题归结为求解芯区的传输方程.本文给出了芯区、包层及衬底中光波的解析解以及传播常量β的本征值方程等.     

GRINSCH—SQW激光器波导特性的数值分析

采用折射率台阶近似法将梯度折射率分别限制异质结单量子阱(GRINSCH—SQW)激光器波导结构中的缓变折射率层离散成折射率近似为常数的亚层,从而推导出此波导的近似本征方程,并用数值计算求解出波导对于基模的等效折射率。在此基础上,通过计算波导中垂直于激光器结平面方向上的光强近场分布,计算出与激光器的阈值电流有密切关系的光学常数——激光器有源层的光限制因子P以及各种波导结构参数对P的影响,同时计算了激光器的远场图形。计算结果可用于GRINSCH-SQW激光器波导结构参数的优化设计。     

On the efficiency of the second harmonic generation in optical waveguides: TM case

In this paper we analyse the second harmonic generation of TM polarisation in a planar waveguide with a non-linear anisotropic substrate using the coupled mode theory under the non-depleted pump approximation. It is an extention of our previous paper in which we treated TE polarisation. Moreover, both guided waves and erenkov radiation are now taken into account simultaneously. It is shown both analytically and numerically that the erenkov efficiency peak follows the L ^3/2 dependence on the interaction length L also for TM polarisation. In an anisotropic KTP/Si₃N₄/SiO₂ waveguide, higher maximum attainable second harmonic generation (SHG) efficiency was calculated for the TM polarisation than for the optimum TE case.     

Optimization of plasma-deposited silicon oxinitride films for optical channel waveguides

In view of applications of SiO_xN_y thin films in MOEMS technology, a study of the optomechanical characteristics of the PECVD deposited material are investigated. To optimize the quality of SiO_xN_y layers we establish the relationship between the chemical properties, optical performances, micromechanical stress, and growth parameters of deposited films. To use the SiO_xN_y thin film for the core layer of a strip-loaded waveguide, we propose preparation conditions of SiO_xN_y that offer a low-loss optical waveguide with well-controlled refractive index, based on a low-internal stress multilayer structure.     

Non-linear waves in a multilayer waveguide: application to SiO x N y with organic overlayer

The field distribution and propagation constant are solved for a multilayer waveguide structure including a non-linear layer. Jacobian elliptic functions are found suitable as the non-linear solutions, because they lead to a numerical solution for a large variety of parameters, covering the range of non-linearity from zero to about the largest values found in any material. SiO _x N _y was chosen for the waveguide material and the organic conjugated polymers and liquid crystal MBBA for the overlayer. The effect of various waveguide parameters is studied and the potential applications are discussed.     

Radiation modulation via violation of total internal reflection with excitation of a waveguide mode

The transverse transmission coefficient of a multilayer structure with a planar waveguide is numerically simulated under the conditions of modulation of the refractive index or absorption coefficient of the waveguide. The optical properties of this structure are shown to be highly sensitive to variation in the refractive index or absorption (amplification) coefficient of its waveguide layer. The influence of optical and geometric characteristics of the structure on its optical properties is analyzed. Modulation of the transmission and reflection coefficients of the structure containing a waveguide with an amplifying medium is considered.     

Forward and backward wave propagation in multilayer planar waveguide using metamaterials layer

In this study, an efficient method is discussed to analyze the multilayer planar waveguides with double negative guided (DNG) and double positive material as guiding film. Here, among various lossless multilayer planar waveguide structures, only three layer and five layer structures are discussed. For these structures, guided dispersion characteristic, along with electric field distribution of TM modes are numerically analyzed and compared. This analysis enables an effective comparison of guided modal properties of various modes and results in a better understanding of the multilayer planar waveguide with DNG as guiding film.     

Symmetric surface plasmon resonance sensing structure excited by a planar waveguide

In this paper, we describe a novel waveguide surface plasmon resonance sensing structure, which consists of a symmetric structure and a planar waveguide. The core component is the symmetric structure of the metal layer, tested sample, and metal layer. The refractive index matching condition of this structure can be adjusted through the thickness of the sample. The planar waveguide is used to excite the surface plasmon wave, and then the parameters are tested and analyzed. The surface plasmon wave is excited when glycerin solutions with concentrations of 0%–70% are used to detect at thicknesses of 300 and 500 nm. The problem that the effective refractive index of the ion exchange planar waveguide is large and using this index to excite the surface plasmon wave between the metal and dielectric for detection is difficult to achieve can be countered by appropriately choosing the thickness of the dielectric in order to be able to measure different refractive indices.     

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.     

Numerical model of the polymer electro-optic waveguide

A numerical design model is presented for the polymer waveguide in an electro-optic modulator. The effective index method is used to analyze the height of the core waveguide and rib waveguide, an improved Marcatili method is presented to design the rib waveguide width in order to keep the strong single mode operation and have a good match with the standard fiber. Also, the thickness of the upper cladding layer is discussed through calculating the effective index of the multilayer planar waveguide structure has been obtained by setting the optical loss due to the metallic absorption to an acceptable value (<0.1 dB/cm). As a consequence, we take the EO polymer waveguide structure of UV15:CLD/APC:UFC170 as an example, an optimized design is reported.     

多层介质波导的一种新方法及其在非均匀介质平面光波导中的应用

本文提出求解多层介质平面光波导的一个简单而直接的方法。将其应用于非均匀平面光波导,可以求解任意折射率分布和TM模问题。以抛物线型和指数型分布为例,说明只要分层数目足够多,本文介绍的方法可以达到任意精度。