浅海波导中简正波相干分量的奇异值分解提取方法

浅海波导中的简正波相干特性是水声学研究的重要对象之一。提出了一种不需任何先验信息即可从一定带宽声信号中分离、提取各简正波相干分量的方法。首先利用信号功率谱数据构造一个厄米特矩阵;然后对该矩阵作奇异值分解,所得诸奇异向量即分别惟一地对应了声场中某2号简正波的相干分量。推导证明了本文方法的基本原理,通过数值仿真和海上试验验证了其有效性,最后讨论了简正波相干分量提取结果在声源被动测距方面的应用。      

基于Rayleigh-Bloch模式的单层结构弯曲声波导

基于一维声栅中的Rayleigh-Bloch(RB)模式基本特点,设计了一种单层结构弯曲声波导.利用有限元方法从时域和频域两方面验证了弯曲声波导的有效性,RB模式波可以沿着波导的弯曲界面传播.研究发现,由于采用了环形结构基本单元,在该波导中存在两种传播模式,分别对应能量局域在单元间(模式-1)和单元内部(模式-2)两种情况.其中,模式-2声传输效果更佳,几乎可实现无损传输.时域研究中分别采用了调制脉冲和高斯脉冲两种信号形式,分析了它们在弯曲声波导中的传输过程.由于波导中只允许RB模式波传播,因此对于宽频信号来说,可起到滤波的效果.并且,不同模式(频率)的信号会出现在声波导的不同位置,所得结果对于声波定向传输、声探测与识别等研究具有理论与应用价值.     

Extraction of acoustic normal mode depth functions using vertical line array data

A method for extracting the normal modes of acoustic propagation in the shallow ocean from sound recorded on a vertical line array (VLA) of hydrophones as a source travels nearby is presented. The mode extraction is accomplished by performing a singular value decomposition (SVD) of individual frequency components of the signal's temporally averaged, spatial cross-spectral density matrix. The SVD produces a matrix containing a mutually orthogonal set of basis functions, which are proportional to the depth-dependent normal modes, and a diagonal matrix containing the singular values, which are proportional to the modal source excitations and mode eigenvalues. The conditions under which the method is expected to work are found to be (1) sufficient depth sampling of the propagating modes by the VLA receivers; (2) sufficient source-VLA range sampling, and (3) sufficient range interval traversed by the source. The mode extraction method is applied to data from the Area Characterization Test II, conducted in September 1993 in the Hudson Canyon Area off the New Jersey coast. Modes are successfully extracted from cw tones recorded while (1) the source traveled along a range-independent track with constant bathymetry and (2) the source traveled up-slope with gradual changes in bathymetry. In addition, modes are successfully extracted at multiple frequencies from ambient noise.     

Acoustical scattering by arrays of cylinders in waveguides

Multiple scattering of acoustic waves in a planar horizontal waveguide by finite-length cylinders is considered. Cylinder height equals the waveguide depth, and both are vertically constrained by the pressure-release boundaries. An analytically exact solution is obtained via normal mode expansion method in conjunction with the concept of the T matrix. The problem is decomposed into an infinite number of two-dimensional multiple scattering problems, modulated by waveguide mode shapes. Examples are presented for an isovelocity waveguide in which the medium is uniform and the waveguide depth is constant. It is found that, in numerical computations, including one or two evanescent modes captures the essence of the evanescent modes. Multiple scattering in the waveguide is compared with the corresponding two-dimensional case. It is concluded that, in low frequencies, the wave patterns in the two cases are very similar, with a shift in the frequency. The similarity diminishes when there are multiple propagating modes. Despite the mode mixing, some key features in the scattering as observed in the two-dimensional problem remain observable in the waveguide case.     

浅海宽带简正模相干/非相干能量比值特征匹配的源深估计

无源声源深度估计一直是水声领域的一个难题。针对浅海波导中低频宽带脉冲声源深度估计问题,提出了利用单水听器接收信号中多阶简正模相干项能量与非相干项能量比值的特征匹配处理方法,不仅消除了声源未知激发谱的影响,而且由于在预先估计声源距离基础上实现对声源深度的独立估计,运算量小。同时,由于利用了实测数据与拷贝声场中具有相同简正模贡献的相干能量特征进行匹配,参数估计具有较高的稳健性。首先通过向量线性相关数学理论,在理想波导条件下讨论了简正模数目与源深估计单值性的关系,证明了仅利用两阶简正模时源深估计具有多值性,而声场含有三阶以上简正模时源深估计存在唯一解。进一步的仿真分析表明,当信噪比高于0 dB时源深估计结果的平均误差整体上在5 m之内。分析了水文参数、沉积层声学参数及声源距离失配时方法的鲁棒性。最后,利用浅海垂直阵采集的低频宽带脉冲实验数据对方法进行验证,声源深度估计结果绝对误差小于5 m的概率在79.1%以上。方法可推广应用于浅海水平或垂直基阵对低频宽带声源的深度估计。      

Modal decomposition method for acoustic impedance testing in square ducts

Accurate duct acoustic propagation models are required to predict and reduce aircraft engine noise. These models ultimately rely on measurements of the acoustic impedance to characterize candidate engine nacelle liners. This research effort increases the frequency range of normal-incidence acoustic impedance testing in square ducts by extending the standard two-microphone method (TMM), which is limited to plane wave propagation, to include higher-order modes. The modal decomposition method (MDM) presented includes four normal modes in the model of the sound field, thus increasing the bandwidth from 6.7 to 13.5 kHz for a 25.4 mm square waveguide. The MDM characterizes the test specimen for normal- and oblique-incident acoustic impedance and mode scattering coefficients. The MDM is first formulated and then applied to the measurement of the reflection coefficient matrix for a ceramic tubular specimen. The experimental results are consistent with results from the TMM for the same specimen to within the 95% confidence intervals for the TMM. The MDM results show a series of resonances for the ceramic tubular material exhibiting a monotonic decrease in the resonant peaks of the acoustic resistance with increasing frequency, resembling a rigidly-terminated viscous tube, and also evidence of mode scattering is visible at the higher frequencies.     

Method for the distinguish of normal modes in shallow water under near field

This paper proposes a method to distinguish the normal modes in shallow water under near field.The method,which is based on frequency-wavenumber(F-K) transform,employs the 2D matrix comprising near field horizontal multi-channel signals.These signals are transformed from the time-space domain to the frequency-wavenumber domain,and the normal modes in the signals are distinguished by extracting the wavenumbers component at each frequency for each order in the frequency-wavenumber domain.The practical reliability and validity of this method are verified by performing numerical simulation and a tank experiment,and the results showed that the normal modes in the Pekeris waveguide below 200 Hz could be obtained reliably at 500 m by using this method.     

浅海矢量声场干涉结构形成机理及试验研究

浅海低频声场的微观结构特征在于具有可用波导不变量表征的 稳定空间-频率干涉结构.声场兼具标量场和矢量场, 波导条件下二者联合决定声场的全部特性. 本文研究浅海声场空频干涉结构的矢量场特征. 理论分析了声压谱、动能密度谱、声强流谱等矢量场干涉结构的形成机理, 探讨了矢量场干涉结构的波导不变量表征, 数值仿真研究了Pekeris波导中能量和能流密度的干涉特性, 进行了宽带声源辐射矢量声场干涉特性及表征的海上试验.实测结果与理论、仿真分析有较好的一致性. 研究结果表明: 中近程和中远程声场均能模态相干, 有稳定的空频干涉结构, 并且矢量声场空频干涉结构存在多种形式, 除各种能量和能流密度谱图外, 相干系数谱也呈现干涉特征, 这些形式的空频干涉结构均可用波导不变量理论有效表征. 关键词： 矢量声场 干涉结构 波导不变量 浅海低频声场     

一种浅海声矢量场干涉结构提取方法

针对浅海Pekeris环境下声矢量场的干涉特征,基于简正波理论分析了在频率-距离域上声强谱、质点振速自谱、复声强谱和波阻抗谱干涉结构的形成机理,探讨了对干涉结构的波导不变量表征,并进行了宽带辐射声场干涉结构的海上测量试验。仿真研究和海试数据分析均表明,在频率-距离域上,上述4类物理量都会呈现稳定的、可用波导不变量β表征的干涉结构,而复声强独有的纯干涉分量更能体现波导的干涉效应。最后引入多尺度线性滤波器对海试实测LOFAR图进行处理,处理结果表明该滤波器可有效地增强干涉特征,更利于检测和提取干涉图案中的条纹信息。      

A numerical halynometry experiment on an acoustic path in the Arctic ocean

It is shown that, in the Arctic-type deep-water waveguide, the first water mode can be used for acoustic halynometry at frequencies of about 40 Hz and higher. For this task, the stochastic sound scattering by the ice cover and the frequency dispersion of modes are the interfering factors. The data of numerical modeling are presented for the levels of the regular and stochastic components of the pseudo-noise signal and for the impulse response of the waveguide to narrow-band and broadband transmissions. To suppress the stochastically scattered component of the sound field, one can use a horizontal extended array. However, choosing the experimental site in a region with a mainly smooth ice cover may be more advantageous. It is shown that the frequency band of the received signal can be broadened by introducing a frequency-time correction of the propagation time of the first mode as a function of the sound frequency.     

浅海波导中目标散射的简正波-Kirchhoff近似混合方法

提出了计算浅海波导中复杂目标散射的数值方法:简正波-Kirchhoff近似混合方法。通过把目标散射的Kirchhoff近似方法和简正波声传播模型相结合,可对大尺寸复杂目标在浅海波导中的散射声场进行计算。以浅海波导中刚性球体散射的解析解为标准解验证了本方法,说明简正波-Kirchhoff近似混合方法是有一定计算精度的工程预报方法。数值计算Pekeris浅海波导中球体目标散射声场在深度-频率平面和距离-频率平面上的二维干涉结构及其与自由空间中的差异。进而通过FFT获得目标时域回波随深度的分布图,分析浅海波导中目标姿态、声速剖面对Benchmark潜艇目标散射的影响。      

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。      

Broadband frequency mode entanglement in waveguided parametric downconversion

We report the observation of beatings of the coincidence event rate in a Hong-Ou-Mandel interference (HOMI) between signal and idler photons from a parametric downconversion (PDC) process inside a multimode KTP waveguide. As an explanation we introduce biphotonic states entangled in their broadband frequency modes generated by waveguide mode triples and propose a suitable entanglement detection scheme.     

一种浅海声简正波近场分离方法

针对浅海环境下声简正波的近场分离问题,提出了一种基于频率-波数(Frequency-Wavenumber,F-K)变换的分离方法。该方法通过对由近场水平多道接收信号所组成的水声信号矩阵进行F-K变换,将二维接收信号矩阵从时间-空间域转换至频率-波数域,由提取频率-波数域上各阶简正波各频点的波数实现对信号中各阶简正波的分离及频散特性提取。数值模拟和水池实验对本方法在实际研究中的可靠性和有效性进行了验证,表明在500 m距离内利用本方法能可靠分离Pekeris波导中200 Hz以下各阶简正波。      

A coupled-mode sound propagation model with complex effective depth

A coupled-mode sound propagation model with complex effective depth is presented,in order to involve the effect of branch line integral for acoustic field in a range-dependent waveguide.The equations of motion and continuity are used to obtain the coupled equations,which satisfy boundary conditions in the waveguide with varying topography and contain one coupling matrix.Meanwhile,the couplings between discrete and continuous spectrum are dealt with based on complex effective depth theory.Numerical simulations show that the accuracy of transmission loss is improved by the coupled mode model when eigenvalues of trapped modes are located near the branch point.The acoustic field in a non-horizontally stratified waveguide can be calculated efficiently and accurately by this model,and the energy corresponding to trapped modes,leaky modes and branch line integral can be considered adequately.     

海洋波导中刚性球及旋转椭球前向散射场时频特征的畸变

利用波导中目标声散射理论的简正波方法,数值模拟了自由空间和浅海均匀波导中刚性球、旋转椭球的散射场,分析了波导中刚性体前向散射时频特征的畸变规律。仿真结果表明:波导中刚性体的前向散射时域波形与频谱特征受波导制约;目标散射场的固有特征受波导色散特征的调制,时频谱上呈现出由于色散的简正波间的耦合而导致各简正波能量条纹界限模糊的现象。时频特征的畸变程度与组成散射共振系统的波导、目标的尺度以及散射体布放深度有关,随波导底质透声能力和深度增加、散射体散射强度(信混比)增强而减弱。      

单阶简正波宽带干涉特性与孤立子内波定位

为了分析孤立子内波(SIW)对声场干涉特性的影响以及由此监测SIW,我们采用抛物方程模型,分析了孤立子内波影响下简正波耦合带来的单阶简正波宽带脉冲序列的干涉特性;仿真了宽带脉冲信号穿过SIW时,单阶简正波接收脉冲序列随内波位置的变化情况,分析了它们的时空干涉特性和机理;基于耦合简正波理论,推导得到了内波位置和干涉条纹斜率之间的关系。仿真表明,这一关系式可以精确估计SIW距离,估计精度和稳定性比以往方法大大提升。此外,还根据单阶简正波干涉图样在频率上的周期性,推导了另一种估计SIW距离的方法,该方法具有更好的实时性。SIW-简正波干涉关系可用于改善声场定位,对于海洋学、海洋工程和海洋军事等方面具有重要价值。此外,该关系还可以拓展到其他的局部特性变化的探测,如金属探伤和海底地形突变定位等。      

Pekeris波导中简正波的复声强及其应用

在Pekeris波导模型下,关注了简正波的矢量场,讨论了简正波水平复声强和垂直复声强的表述,并分析了其特征.单阶简正波在水平方向是行波,相应的水平复声强仅为有功的;在垂直方向为驻波,相应的垂直复声强仅为无功的.而多阶简正波相互干涉,因此总声场的复声强既有有功分量,也有无功分量,其中只有有功分量参与声能的输运,但无功分量是反映声场信息的重要组成部分.通过对垂直(交互)复声强无功分量和水平交互复声强有功分量的数值分析,对于甚低频率的点源声场,发现当声源深度变化时,上述声场分量的正负号呈有规变化,当接收传感器置 关键词： 目标深度分类 复声强 矢量场 Pekeris波导     

浅海单矢量传感器宽带声源三维定位仿真

针对水平不变的浅海波导中单矢量传感器对低频宽带声源的三维被动定位问题,首先利用平均声强器估计声源方位;其次,通过分离简正模的声压和水平振速分量联合处理获得运动声源相对速度,进一步基于垂直声能流中简正模相干项特征频率不变性以及长时间窗口中多快拍信号的统一处理,建立WARPING变换频谱作为代价函数的搜索处理器,估计该段信号的初始距离,进而获得各时刻声源距离,所提出的方法避免了对拷贝声场和引导声源的依赖;最后,利用多阶简正模相干项与非相干项能量模基处理方法,当声场中存在三阶以上简正模时,可对声源深度进行匹配估计。仿真分析表明,单个矢量传感器能够给出声源的方位、距离及深度估计结果。