Mathematical treatment of wave propagation in acoustic waveguides with n curved interfaces

There are some curved interfaces in ocean acoustic waveguides. To compute wave propagation along the range with some marching methods, a flattening of the internal interfaces and a transforming equation are needed. In this paper a local orthogonal coordinate transform and an equation transformation are constructed to flatten interfaces and change the Helmholtz equation as a solvable form. For a waveguide with a flat top, a fiat bottom and n curved interfaces, the coefficients of the transformed Helmholtz equation are given in a closed formulation which can be thought of as an extension of the formal work related to the equation transformation with two curved internal interfaces. In the transformed horizontally stratified waveguide, the one-way reformulation based on the Dirichlet-to-Neumann （DtN） map is then used to reduce the boundary value problem to an initial value problem. Numerical implementation of the resulting operator Riccati equation uses a large range step method to discretize the range variable and a truncated local eigenfunction expansion to approximate the operators. This method is particularly useful for solving long range wave propagation problems in slowly varying waveguides. Furthermore, the method can also be applied to wave propagation problems in acoustic waveguides associated with varied density.     

TM波的平面波导解法

介质波导具有损耗小和辐射小的特点,广泛应用于光通讯领域。平板波导是一种重要的平面介质波导,其中的TE波和TM波的传输特性,更是为波导器件的设计提供理论支持。本征方程是分析传输特性的重要方程,而TE波较TM波具有相对简单的电磁场连续性边界条件,其本征方程已有详细介绍。从TM波的波动方程出发,推导出三层平板波导TM波的场分布,并根据电磁场的连续性边界条件,逐步推到出它的本征方程。     

钛扩散铌酸锂条形波导沿深度方向的有效折射率分布

按准解析法，从理论上给出了Ｔｉ：ＬｉＮｂＯ３条形波导沿深度方向有效折射率的解析表达式，并按此式计算了典型波导的场分布及模折射率．这对于研究有金属覆盖层的条形波导的传播特性是特别有用的．本文还明确给出了确定导模场最大值位置的方法，因而对波导与波导、波导与光纤的耦合有一定的指导意义     

Nonlinear effect induced in thermally poled glass waveguides

INTRODUCTION Because of high transparency of glass to light and the very stable physical properties of glass, waveguides made of it are popular structures and building blocks in optoelectronic applications. Par- ticularly they are often used to fabricate passive components or devices with good compatibility with optical fibers in optical communication. By adopting the technology available in microelectronics, fabri- cation of glass waveguides can be a standard process with mass production,…     

Asymptotic Theory of Guided Modes for Cladded Slab Waveguides

lintroductionCalculationofthepropagationconstantsofplanardielectricwaveguidescuirentlyusedinintegratedopticsisnecessarytbraccuratelydesigningcomponentssuchasdirectionalcouplersandmodulatol.slll.Solutionforathreelayerslabwaveguideissimpleandwellknownasthel…     

有限长均匀截面声波导管的等效T型网络研究

依据电传输线理论和声电类比原理，讨论并推导出了管中为平面波时有限长均匀截面声波导管的等效T型网络，并通过等效电路分析法推导出了其阻抗转移公式，为声波导管阻抗分析提供了一种新方法，使声波导管的设计更简便。     

线缺陷光子晶体波导的透射特性研究

研究了光脉冲通过光子晶体线缺陷波导的透射特性.分析发现光子晶体线缺陷波导的透射行为与波导的几何尺寸有关.通过调制波导的几何结构可以获得较平坦的透射谱.另外发现耦合线缺陷所选择的点缺陷是影响线缺陷波导透射特性的重要因素,通过调节点缺陷的尺寸,缺陷间可以很完美的耦合并获得超平坦的杂质带.该分析结果为光子晶体线缺陷波导的设计提供重要参考.     

Helmholtz方程的区域分解方法

文章构造了一种Helmholtz方程的区域分解方法.在离散过程中使用了非协调有限元,通过定义一些算子证明了预优问题的条件数是最优的.     

A new approach for target motion analysis with signal time delay

A new approach is proposed in this paper for the problem of the target motion analysis (TMA) with signal propagation time delay. This problem is an unobservable tracking problem in which the acoustic signal transmits with time delay. We present an intelligent range parameterized unscented Kalman filter (IRPUKF) algorithm to estimate the state of the nonlinear unobservable tracking system and propose a recursive model parameter online adjustment method to deal with the time delay in signal propagation. In a simulation of tracking target using a maneuvering acoustic sensor with signal time delay case study, the effectiveness and efficiency of the proposed algorithm is testified to perform better, compared with the range parameterized extended Kalman filter (RPEKF) algorithm.     

AN INVESTIGATION OF BANDWIDTH IN DIELECTRIC SLAB LOADED RECTANGULAR WAVEGUIDE

Several technical problems of numerical method in TLM procedures arediscussed.The bandwidth of single mode in four kinds of dielectric slab loaded rect-angular waveguides is investigated,and the optimum bandwidth which is related tothe dimensions and dielectric constants is obtained.These results are useful to the de-sign of dielectric slab loaded rectangular waveguide.     

玻璃钢复合材料板材Lamb波传播特性分析

基于Lamb波在各向异性材料的波动方程和频散原理,采用斜入射法激发A0模态兰姆波。针对板材的铺层角度、各接收点方向和频厚积等因素对衰减规律和传播速度规律有较大影响,采用有限元软件建立玻璃钢复合材料层合板模型,对各影响因素进行数值模拟研究。研究表明:Lamb波传播特性与纤维铺层方式有关,声速及衰减特性沿纤维方向和非纤维方向传播声速和衰减差异较大,并且呈对称现象,频厚积在0.6~1.8 MHz·mm,对传播声速和衰减影响为线性下降且趋于平稳。     

基于抛物方程的大气波导环境电波传播分析

海面上受水蒸气的影响容易形成大气波导,造成电波的超视距传播影响雷达探测;基于抛物方程模型分析了海面蒸发波导环境下电波传播的特性,分析了蒸发波导高度、发射天线高度等对电波传播损耗与雷达探测距离的影响。     

圆-圆形槽波导结的研究

运用模式匹配法，分析了圆-圆形槽波导结的散射特性．在圆-圆形槽波导结上匹配电场和磁场的边界条件，然后在边界方程两边同乘以圆波导和圆形槽波导的模式方程，得到了散射矩阵方程，结的散射系数可由此方程得出．然后分析了圆形槽波导中放置圆形膜片的散射特性．最后讨论了数值计算结果的收敛性；当选择恰当的模式组时，得到了收敛的数值结果，同时给出了膜片散射系数的频率响应结果．     

基于Matlab的RLC阻尼振荡电路建模与仿真研究

通过建立RLC阻尼振荡电路的系统模型,得到三种不同的阻尼振荡类型及其通解的形式,利用M atlab程序对后两类阻尼振荡电路的时域和频域进行编程描述,对此两者仿真波形,证实了两种方法的有效性,同时指出了第5条临界阻尼非振荡波形失真的原因。     

平面体波在各向异性媒质中的传播

Combining the linear transformation and the solution technique for the cubic equation,a general closed-form analyti solution for bulk waves in orthotropic anisotropic materials is obtained.This method is straightforward and general.Degenerated cases include transversely isotropic,cubic,and isotropic materials.Numerical computations are carried out on a fiber-reinforced composite plate modeled as a transversely isotropic media.The fibers are parallel to the top and bottom surfaces of the plate ,and they are rotated counterclockwise around the plate normal through different angles.The two-dimensional slowness curves corresponding to different rotations are presented graphically.The wave propagation characteristics displayed in slowness surfaces for different fiber orientation are analyzed.     

Novel boundary element method for resolving plate bending problems

INTRODUCTIONTheboundaryelementmethodisanefficientnumericalmethodforsolvingpracticalengineer ingproblems ,andisparticularlyattractivefortheanalysisofelasticmechanicsproblems,asonlytheboundaryoftheproblemisrequiredtobediscretized .Themainadvantageofthebound…     

Wind-induced internal pressure fluctuations of structure with single windward opening

INTRODUCTION The wind loads of the exterior-protected con-struction of buildings are decided based on the pres-sure difference between the external and internalpressure. The failures of low-rise building roof andwall in high wind events are caused by a combinationof large internal and external force acting in the samedirection. A large opening in the building envelope,caused by the failure of a door or window may gen-erate large internal pressures in strong wind condi-tions, and therefore …     

连续式大直径圆柱壳结构上的波力数值模型

以线性波理论为基础 ,应用满足两条平行线性边界的无限条形区域的 Helmholtz方程的基本解 ,采用边界单元法建立了连续式大直径圆柱壳结构的一种反射波波力数值模型 .根据本模型的理论与方法 ,采用 Visual C 语言编制了计算程序 .算例计算表明了本方法与程序的有效性 ,并且将作用在连续式大圆柱壳结构的波浪力与方沉箱结构相比较 ,在 D/L=0 .0 9～ 0 .19情况下可降低 14 %～ 2 4%     

Novel boundary element method for resolving plate bending problems

This paper discusses the application of the boundary contour method for resolving plate bending problems. The exploitation of the integrand divergence free property of the plate bending boundary integral equation based on the Kirchhoff hypothesis and a very useful application of Stokes' Theorem are presented to convert surface integrals on boundary elements to the computation of bending potential functions on the discretized boundary points, even for curved surface elements of arbitrary shape. Singularity and treatment of the discontinued corner point are not needed at all. The evaluation of the physics variant at internal points is also shown in this article. Numerical results are presented for some plate bending problems and compared against analytical and previous solutions. Project(No: ZE0208) supported by the National Science Foundation of Zhejiang Province, China     

Meshless local discontinuous Petrov-Galerkin method with application to blasting problems

A meshless local discontinuous Petrov-Galerkin (MLDPG) method based on the local symmetric weak form (LSWF) is presented with the application to blasting problems. The derivation is similar to that of mesh-based Runge-Kutta Discontinuous Galerkin (RKDG) method. The solutions are reproduced in a set of overlapped spherical sub-domains, and the test functions are employed from a partition of unity of the local basis functions. There is no need of any traditional non-overlapping mesh either for local approximation purpose or for Galerkin integration purpose in the presented method. The resulting MLDPG method is a meshless, stable, high-order accurate and highly parallelizable scheme which inherits both the advantages of RKDG and meshless method (MM), and it can handle the problems with extremely complicated physics and geometries easily. Three numerical examples of the one-dimensional Sod shock-tube problem, the blast-wave problem and the Woodward-Colella interacting shock wave problem are given. All the numerical results are in good agreement with the closed solutions. The higher-order MLDPG schemes can reproduce more accurate solution than the lower-order schemes.