水下声道中脉冲传播的WKBZ简正波方法

本文将ＷＫＢＺ简正波方法应用于水下声道中的脉冲能量和波形传播。文中分别给出在两种不同水下声道中的数值结果，并与精确简正波数值解进行了比较。数值模拟结果表明，ＷＫＢＺ简正波方法能精确地计算水下声道中脉冲声信号的波形，计算速度比传统的简正波方法提高近两个数量级。     

水平变化波导中的简正波耦合与能量转移

针对海底地形水平变化对声场能量传播和声场干涉结构的影响,对简正波之间的耦合和能量转移进行了研究.建立了一种二维大步长格式的耦合简正波模型和三维楔形波导耦合简正波模型,以便快速有效地分析简正波之间的耦合和能量转移.基于耦合简正波模型,阐述了前向声场能量在水平变化波导中传播时的转移过程.并根据射线简正波理论,解释了海底地形变化对声场能量分布的影响机理.水平变化波导中声场的仿真计算表明,当本征值虚部发生剧烈变化时声场存在着较强的简正波耦合和能量转移,且海底地形变化将导致声场能量的水平传播方向偏转至海水深度增加的方向.在声场能量转移和传播方向变化中,声场的能量趋于保留在波导中而不向海底泄漏.同时,声场能量分布受到类似于压缩或稀疏的作用,从而形成椭圆状的干涉结构.     

复等效深度耦合简正波模型

为了考虑海底地形随距离变化的非水平分层介质中割线积分对声场的贡献,提出了复等效深度耦合简正波模型。该耦合简正波模型由介质运动方程和连续性方程推导得到了耦合微分方程组,此方程组满足海底地形随距离变化情况下的边界条件且仅包含一个耦合矩阵,并通过引入复等效深度理论处理连续谱和离散谱之间的相互耦合。仿真计算表明,复等效深度耦合简正波模型提高了波导简正波本征值位于割线枝点附近情况下声传播损失的计算精度,充分考虑了波导简正波、非波导简正波和割线积分对声场的贡献,可快速而准确地计算非水平分层介质中的声场。      

用垂直阵确定浅海波导特性

本文介绍利用声场复简正波近似确定浅海波导特性的方法。该方法的优点在于：（1）对环境参数的依赖程度大大降低。（2）在对海底介质结构（诸如层的数量、层的厚度、纵波和横波的速度和衰减等）知之不多或根本不了解的情况下，可同时获得波导特性参数（km,βm）。（3）确定波导海底界面平面波的反射系数V（k）。数值结果显示：对海底是单层或两层软固态的波导，用90M长、18阵元组成的垂直接收阵，接收频率分别为250Hz、150Hz的声信号，（1）获得的简正波水平波数km的精度均在10－5以上；简正波衰减系数βm的相对误差绝大部分在20％以内，其中前几号都在10％范围内，且简正波号数越低，误差越小。（2）基本反映海底在小掠角的反射相移和反射损失。本文在数值仿真的基础上，重点分析声场复简正波近似对93年冬季海上实验数据的处理结果。PACS数     

软固态海底的复有效深度近似

引用Zhang和Tindle的更有效深度的概念；将Chapman提出的浅海Pekeris波导的海底（实）有效深度近似，推广到复有效深度近似，其实部和虚部分别反映平面波反射的相位变化和能量损失。通过对比计算表明：由复有效深度近似构成的均匀声场，能反映对应于小掠角的低号简正波的声学特性，有效地计算浅海远距离声场．有关结论可以推广到包含两层软固态海底的波导之中．     

浅海中的混响衰减

本文定义混响衰减作为描述浅海混响的基本物理量。对不同的声速剖面和海底散射模型，分别用射线方法和ＷＫＢＺ简正波方法（考虑和不考虑复本征值的影响）计算了混响衰减随时间（距离）的变化。数值模拟结果表明复本征值的影响不能忽略，在中等距离上按射线方法计算的混响衰减与考虑了复本征值影响的ＷＫＢＺ方法计算结果相一致。负跃层浅海中的实验结果表明混响衰减与源和接收器的深度有关，但与带宽无关。理论预示的混响强度的几何平均规律也从实验得到了证实。     

浅海内波影响下的波导不变量变化特性分析

针对浅海内波引起波导不变量变化的问题,利用声场波导不变量的概率分布并结合声场简正波的理论,研究了内波活动下波导不变量的时变性,给出了波导不变量变化的机理和规律.具体结论是,在负跃层波导中,声场的波导不变量的最大概率取值具有明显的频变特性.内波环境下,当声传播方向与内波波阵面平行时,接收声场简正波的幅度变化不大,但是简正波的相慢度差和群慢度差的变化却能引起波导不变量最大概率取值的变化;而当声传播方向与内波波阵面垂直时,内波引起的简正波耦合同样会导致波导不变量的最大概率取值的明显变化.     

三维绝热简正波-抛物方程理论及应用

复杂海域通常存在环境参数的水平变化,这会导致声波在传播过程中发生水平折射,呈现出三维效应.利用绝热简正波-抛物方程理论进行三维声场建模,在垂直方向上使用标准简正波模型KRAKEN求解本征值和本征函数,水平方向上使用宽角抛物方程模型RAM求解简正波幅度.该模型物理意义清晰,计算效率高,但由于忽略了各号简正波之间的耦合,只适用于环境参数水平变化缓慢的问题.使用该模型分析了内波环境和大陆架楔形波导中的声波水平折射现象,结果表明,声波的水平折射将水平平面分为不同区域,每个区域内的声场结构明显不同.此外,声强在水平平面内的分布与声源频率和简正波号数有关,这种依赖关系是导致声信号频谱变化、波形畸变以及声场时空扰动的主要原因.     

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     

斜坡海底条件下声场垂直相关特性研究

利用数值仿真和实验研究分析和总结了不同斜坡海底条件下声场垂直相关性随垂直间隔和传播距离的变化规律,并利用楔形简正波理论对海底倾斜引起的声场垂直相关变化机理进行了解释.研究结果表明,上坡和下坡地形的声场垂直相关性具有很大的差别.与水平海底相比,下坡海底会增加声场垂直相关性,上坡海底会减小声场垂直相关性.有效简正波之间的干...     

The WKBZ mode approach to sound propagation in range-independent ocean channels

I.IntroductionThenorma1-modeapproachcangiveanexactso1utiontotheacousticfie1dinastratifiedmedium,soitisoftenusedtocomparewithotherapproximatemethodssuchasraytheory,parabo1icequationl'](PE)methodandGaussianbeam[21approach,andtakenasacriteriontochecktheaccuracyofapproximatemeth0dsl3J.Themodeapproachmayalsobeextendedtorange-dcpendente..i,onmentsl4.5l.Thoughtherearemanynumerica1propagationcodesbasedonthemodeapproachI'],theconventionalmodeapproachisawkwardtoapplyt0'higherfrequencya-ndbroadbandprop…     

The WKBZ mode approach to pulsed propagation in ocean channels

In the paper, the WKBZ normal mode approach has been applied to the propagation of the pulsed energy and waveform in ocean channels. The numerical results in two different channels are given. Comparison between the WKBZ and conventional normal mode codes shows that the WKBZ mode approach is a fast and accurate method and the running time by the WKBZ approach is reduced by about two orders of magnitude.     

穿越深海会聚区的声源定位方法研究

基于WKBZ近似深海会聚区预报模型和方位滤波方法建立了穿越会聚区声源运动参数的估计模型，模拟结果表明，方位误差较小时，在前三个会聚区内，目标运动参数估计结果与模拟设定参数符合较好。     

Guided-Wave Characteristics with Periodic Dielectric Waveguides of Finite Length

A novel network approach is proposed to analyze periodic dielectric waveguide of finite length. Our approximate analysis is to consider a bounded waveguide problem in which perfectly-conducting walls are introduced, and the periodic corrugation is regarded as consisting of step discontinuities connected by a length of uniform slab waveguide. Application of conservation of complex power technique (CCPT) allows us to take into account of both surface modes and only a few non-surface-modes, and readily derive propagation characteristics of the wave-guide with finite periodic corrugations around Bragg interaction region.     

Numerical simulations and experiment ofreverberation loss in shallow water

I.IntroductionUndcrwatersoundrevcrberationhasrccentlybecomeatopicofgreatinterestlI-3l.Sincethcrcverberationincludescombincdeffcctsofsoundpropagahonandscattering,andthesoundpropagationinshallowwaterismuchmorecomplicatedthanthatinthedeepsea,itisnecessarytOstudycarefullybothintheoryandexperimcnt.Fortheshortrangereverberationinshal1owwatcrtheray-basedmodelisavai1ab1e,whilefOr1ongrangethewave-basedmodelmustbeusedbecauscofcomp1icatcdmu1tipaths,refractioneffcctsandfrequencydependence.Thenorma1-mode…     

Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides

The eigenfield distribution and the band structure of a photonic crystal waveguide have been measured with a phase-sensitive near-field scanning optical microscope. Bloch modes, which consist of more than one spatial frequency, are visualized in the waveguide. In the band structure, multiple Brillouin zones due to zone folding are observed, in which positive and negative dispersion is seen. The negative slopes are shown to correspond to a negative phase velocity but a positive group velocity. The lateral mode profile for modes separated by one reciprocal lattice vector is found to be different.     

Fresnel zones for modes and analysis of field fluctuations in random multimode waveguides

The notion of Fresnel zones for modes is introduced, which is analogous to the usual Fresnel zones introduced for rays. It is shown that using Fresnel zones for modes one can simplify the analysis of mode scattering at large-scale and random inhomogeneities of a medium in waveguides. Simple formulae to calculate fluctuations of mode amplitudes are obtained. They are similar to well-known formulae of geometrical optics and to those of the Rytov method used to calculate fluctuations of ray complex amplitudes. Relations deduced can be used for calculating field fluctuations both at regular waveguide points and at caustics.     

NETWORK CHARACTERIZATION OF STEP DISCONTINUITY WITH GENERALIZED CONSERVATION OF COMPLEX POWER TECHNIQUE AND ITS APPLICATION TO ANALYZING PERIODIC DIELECTRIC WAVEGUIDES

The propagation of electromagnetic waves along open periodic, dielectric waveguides is formulated in the case that surface wave is guided and propagates normally to the corrugation. Our approximate analysis with the propagation characteristics is to consider a corresponding bounded waveguide problem in which perfect electric or magnetic walls are introduced, and the periodic corrugation is regarded as consisting of step discontinuities connected by a length of uniform slab waveguide. By properly taking into account of both surface modes and only a few non-surface-modes, a novel network approach is proposed for characterizing step discontinuity based on the generalized conservation of complex power technique (GCCPT). Employing solution selection rule (SSR), we can readily derive propagation characteristics in the Bragg interaction region. A number of numerical results are shown to demonstrate the usefulness of our approach.     

Band Gap and Waveguide States in Two-Dimensional Disorder Phononic Crystals

The influences of the configurational disorders on phononic band gaps and on waveguide modes are investigated for the two-dimensional phononic crystals consisting of water cylinders periodically arrayed in mercury. Two types of configurational disorders, relevant to the cylinder position and cylinder size respectively, are taken into account. It is found that the phononic band gap and the guide band are sensitive to the disorders, and generally become narrower with the increasing disorders. It is also found that the waveguide side walls without disorder can significantly prevent the guide modes in the waveguide from influence by the disorders in the crystals to a large amount.