一种基于warping变换的浅海脉冲声源被动测距方法

针对浅海波导中脉冲声源被动测距问题, 提出了一种利用接收信号的能量密度函数进行warping变换的声源被动测距方法. 对于浅海波导, 接收信号的能量密度函数中不同号简正波相干部分, 经warping变换后输出结果的频谱中包含与声源和接收器位置无关的不变性频率特征. 这些特征频率在数值上等于理想波导中相干的两号简正波的截止频率差, 与海底参数无关, 因此仅需已知海水中的平均声速和海水深度便可计算出特征频率值. 当声源距离未知时, 利用特征频率的提取值与真实特征频率之间的关系可以实现快速测距, 极大地提高了计算速度. 为了验证方法的有效性, 对2011年11月黄海海域水声实验的接收脉冲数据进行了处理, 测距结果与实测距离符合良好, 平均测距误差在8%以内.     

基于BDRM理论的深海声场快速预报研究

深海存在深海声道和双轴声道两种典型环境，WKBZ简正波方法已实现了深海声道中声场的快速准确预报，而对于双轴海洋声道则存在一定的误差。本文在WKBZ本征函数的基础上，推导出了参考界面相位修正的一致表达式，并将浅海声传播的波束位移射线简正波（BDRM）理论应用于计算双轴海洋声道中的声场，进行了数值模拟并与传统简正波方法进行比较，结果表明应用BDRM理论计算的传播损失具有很高的精度和速度。     

利用自相关函数warping变换的浅海声源深度判别

针对浅海波导声源深度判别问题,提出了一种利用warping变换提取接收信号简正波相关项的深度判别方法。对接收信号自相关函数做warping变换,分离其简正波相关项,利用能量占主导的简正波相关项特征频率之间的比例关系,确定其号数,从而分辨水面声源和水下声源。公式推导和数值仿真结果说明:不同深度声源激发的能量占主导的简正波相关项特征频率不同,可以用于判别声源深度。海试实验结果证明:在海水声速随深度不变或缓变的水文环境,低频条件下,该方法可以分离简正波相关项并确定其号数,在未知声源距离的情况下有效进行声源深度判别,且无须声源相对接收器运动。     

浅海负跃层条件下的warping变换宽带无源测距方法

夏季浅海波导中常常存在强烈的负跃层,研究warping变换无源测距在这种水文条件下的使用方法具有重要的应用价值。对于上发上收、上发下收和跃层强度较小时下发下收的情况,海面海底反射类简正波对声场起主要作用,可以对接收信号的自相关函数进行时域warping变换,利用特征频率匹配的方法进行无源测距。而对于跃层强度较大时下发下收的情况,水体折射-海底反射类简正波对声场起主要贡献,可以对接收信号的自相关函数进行频域β-warping变换进行无源测距。并且能在事先获得粗略的水体声速剖面参数的情况下,通过设置一个已知距离的引导声源,那么即使估计得到的波导不变量存在一定误差,实际测距结果也可以与真实距离符合得较好。利用warping变换对一次夏季浅海实验接收到的目标发出的宽带信号进行无源测距,估计距离与真实距离符合较好,相对误差在20%以内。     

Introducing the general condition for an operator in curved space to be unitary

We investigate the general condition for an operator to be unitary. This condition is introduced according to the definition of the position operator in curved space. In a particular case, we discuss the concept of translation operator in curved space followed by its relation with an anti-Hermitian generator. Also we introduce a universal formula for adjoint of an arbitrary linear operator. Our procedure in this paper is totally different from others, as we explore a general approach based only on the algebra of the operators. Our approach is only discussed for the translation operators in one-dimensional space and not for general operators.     

Invariant operator theory for the single-photon energy in time-varying media

After the birth of quantum mechanics, the notion in physics that the frequency of light is the only factor that determines the energy of a single photon has played a fundamental role. However, under the assumption that the theory of Lewis--Riesenfeld invariants is applicable in quantum optics, it is shown in the present work that this widely accepted notion is valid only for light described by a time-independent Hamiltonian, i.e., for light in media satisfying the conditions,ε(t)=ε(0), μ(t)=μ(0), and σ(t)=0 simultaneously. The use of the Lewis--Riesenfeld invariant operator method in quantum optics leads to a marvelous result:the energy of a single photon propagating through time-varying linear media exhibits nontrivial time dependence without a change of frequency.     

Symmetry-adapted many-body perturbation theory: use of the wave operator matrix elements

In this paper we develop a simple method for adapting the closed-shell many-body perturbation theory to an arbitrary point group symmetry taking account of various classes of diagrams exactly to all orders. The method consists in deriving a linear operator equation for the closed-shell wave-operatorW which is then symmetry-adapted to the pertinent point groupG. It is shown that the system of equations thus derived enables one to include orbital-diagonalh-h, p-p andh-p ladders to all orders in a perturbative framework. The way to generalise the method through inclusion of a larger classes of diagrams to all orders is also indicated. Finally, the connection of the present mode of development with the non-perturbative coupled-cluster formalisms is briefly indicated.     

利用信号自相关函数warping变换的浅海水下移动观测平台机动优化方法

水下移动观测平台的机动航路对纯方位目标运动分析方法的使用性能具有重要的影响。针对此问题,提出了一种利用信号自相关函数warping变换的浅海水下移动观测平台机动优化方法。该方法利用warping变换从接收信号自相关函数中提取与目标距离相关的简正波相干项的特征频率,进而估计距离特征量,再根据预估的目标初始距离范围估计目标运动态势范围。针对观测平台机动方式为匀速转弯运动的情况,以目标方位变化率为评价指标得到了观测平台在所估计的目标运动态势范围下的最优转弯角速率。在浅海Pekeris波导环境下的数值仿真结果和实验数据处理结果表明:方位变化率与纯方位扩展卡尔曼滤波算法的性能密切相关;利用warping变换可以有效地估计距离特征量;观测平台根据以方位变化率为评价指标得到的最优转弯角速率进行机动可以获得较好的目标跟踪性能,收敛时间较短,目标位置估计误差较小。     

A passive source ranging method based on the frequency warping transform of the vertical intensity flux in shallow water

The phase of cross-correlation function of two different normal modes contains source range information, which can be extracted by warping transform due to the dispersive characteristics of the shallow water waveguide. The autocorrelation function of the received pressure or particle velocity contains both modal autocorrelation component(MAC) and modal cross-correlation component(MCC), with the former part usually treated as interference for source ranging. Because the real part of the vertical intensity flux(RPVIF) only contains MCC, a passive impulsive source ranging method based on the frequency warping transform of RPVIF with a single vector receiver in shallow water is presented. Using a waveguide-invariant-based frequency warping operator, the cross-correlation components of two different modes in the vertical intensity flux are warped into separable impulsive sequences, the time delays of which are subsequently used for source ranging. The advantages of source ranging based on warping the vertical intensity flux compared with warping the pressure autocorrelation function are pointed out, and the experiment results are also presented.     

A class of nonlinear relativistic partial differential equations in elementary particle theory

In mathematical approaches to elementary particle theory, the equation [² - ²/t²]=m² ;+g ³ has been of interest [1,2]; it describes a quartically self-coupled neutral scalar meson field. This paper applies the decomposition method [3-6] to obtain accurate non-perturbative timedevelopment of the field for this equation, or variations involving other nonlinear interactions, without the use of cutoff functions or truncations.     

基于信道传播理论的多基地远程海底混响研究

针对浅海多基地远程海底混响, 以声传播的线性信道近似理论为基础, 通过确定海底界面的不均匀起伏特性, 对入射声波的远距离异地混响脉冲响应函数进行求解. 对非水平分层介质的浅海波导, 利用绝热简正波求解信道的传输函数, 得出了小角度斜坡海底的远程海底混响强度, 以下坡海底为例, 分析对比了不同海底倾角斜坡海底对远程异地混响强度及其衰减规律的影响. 理论仿真表明, 波导的传输效应对多基地远程海底混响强度的影响不可忽略.     

变工况下旋转机械故障跟踪的相空间曲变方法

为实现在工况变化条件下对旋转机械的故障预测, 提出使用相空间曲变和平滑正交分解理论在变工况条件下跟踪旋转机械的故障演化过程. 首先在对目标系统的观测时间序列相空间重构的基础上, 通过量化相空间曲变构建信号损伤演化的跟踪函数, 为弥补累积模型误差和相空间点局部分布概率差异造成的误差, 将时间序列和相空间进行分割, 并以此构建跟踪矩阵; 再利用平滑正交分解方法将跟踪矩阵中分别由实际损伤劣化和工况变化造成的演化趋势进行分离, 根据平滑正交特征值提取出其中能够反映实际故障演化趋势的平滑正交分量; 最后以变转速情况下轴承外环故障退化的仿真信号为例验证算法的有效性. 计算结果表明: 本文提出的算法能够对旋转机械故障的演化趋势实现有效跟踪, 基本排除转速波动造成的工况变化影响. 关键词： 相空间曲变 平滑正交分解 变工况 故障跟踪     

基于简正波理论的浅海低频混响时间序列仿真

混响场时域信号序列的数值实现对主动声纳目标模拟器研制具有重要意义。本文所述适用于水平变化浅海环境混响时间序列的一种实现方法,基于现有的浅海简正波相干混响理论。所述方法的思路是通过相干散射场随机序列与发射信号的离散卷积来构成混响时域序列,文中以Pekeris均匀浅海环境为例,给出了相应的混响时间序列仿真结果,并对仿真结果的频谱特性、统计特性、强度衰减以及垂直相关特性等进行了系统检验。结果表明,由仿真混响时间序列所获得的混响特性与理论结果相符,可用于浅海混响序列的仿真。     

A study of the Higgs effect in the five-dimensional Kaluza-Klein theory

The complete expression of the five-dimensional Einstein-Hilbert action as an expansion in fields in the Appelquist-Chodos parametrization of the Kaluza-Klein metric has been given in this paper. It is explicitly shown that a unitary gauge can be fixed in which in each of the charge sectors the vector and the scalar fields are absorbed as Goldstone modes leaving behind the Pauli-Fierz Lagrangian for massive charged spin-2 field.     

Completeness of the system of eigenvectors of off-diagonal operator matrices and its applications in elasticity theory

This paper deals with off-diagonal operator matrices and their applications in elasticity theory.Two kinds of completeness of the system of eigenvectors are proven,in terms of those of the compositions of two block operators in the off-diagonal operator matrices.Using these results,the double eigenfunction expansion method for solving upper triangular matrix differential systems is proposed.Moreover,we apply the method to the two-dimensional elasticity problem and the problem of bending of rectangular thin plates on elastic foundation.     

A LLS operator based S-I WT de-noising algorithm applied in EDXRF

An improved shift-invariant wavelet (S-I WT) de-noising algorithm based on LLS operator is proposed for high-resolution energy dispersive X-ray fluorescence. Sym8 is chosen as the wavelet basis function and performed noise reduction on the analog signal. Comparison of the de-noising effect of S-I WT, improved WT and LLS S-I WT (where LLS is the log square root operator) method are quantitatively evaluated by using evaluation criteria signal-to-noise-ratio (SNR), root mean square error and Pearson correlation coefficient. Meanwhile, a new evaluation criterion of de-noising effect, called peak area relative difference, is also proposed to evaluate the counting deviation. The results show that the LLS-SI WT is simple and reliable, can effectively reduce pseudo-Gibbs artificial signals and statistical fluctuation. Besides, this method simplifies the calculation, reduces the running time and improves the running efficiency. The LLS-SI WT is also applied to reduce the noise after adding strong noise to the signal, the SNR has been improved from 14.0040 to 14.7552, and most of the characteristic peak information retains to the greatest extent.     

等离子体部分填充的波纹慢波结构中电磁波色散特性

 对有限厚环形等离子体层填充的波纹慢波结构中电磁波色散特性进行了分析。研究结果表明，对于ω＞ω_p的高频TM_0n模，模式色散曲线随等离子体密度的增加而上移；ω≤ω_p的低频等离子体模为一系列呈周期变化的密度谱，部分模式能与电子注发生较强的同步互作用。等离子体模的时间增长率随等离子体密度的增加快速增加，而TM_0n模则快速减小或缓慢增加，因此在较高的等离子体密度下，高频模式可能被抑制。     

A modified Lorentz theory as a test theory of special relativity

A modified Lorentz theory (MLT) based on the generalized Galilean transformation has recently received attention. In the framework of MLT, some explicit formulas dealing with the one-way velocity of light, slow-clock transport and the Doppler effect are derived in this paper. Several typical experiments are analyzed on this basis. The results show that the empirical equivalence between MLT and special relativity is still maintained to second order terms. We confirm recent findings of other works that predict the MLT might be distinguished from special relativity at the third order by Doppler centrifuge experiments capable of a fractional frequency detection threshold of 10^–15.     

Dispersion Relations in Binary Gas Mixtures From a Kinetic Theory

Sound propagation and the initial value problems in gas mixtures of two components are investigated. By using the eigen theory of linearized Boltzmann equations, a model equations is formed, with the use of the Fourier-Laplace transform for model equations derived, the dispersion relations for both components are obtained.