Wave Motion最新文献

英文中文

On the use of phase laws for the Linear Sampling Method in an elastic waveguide. Application to nondestructive testing 相位定律在弹性波导线性采样方法中的应用。应用于无损检测

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2024-11-19 DOI: 10.1016/j.wavemoti.2024.103447

Arnaud Recoquillay

This paper presents the use of phased array data as the input of the Linear Sampling Method for elastic waveguides. Indeed, this method enables the high frequency, hence high resolution, inspection of waveguides, which is of interest for example for nondestructive testing applications. However, the use of single emitter data, also known as Full Matrix Capture in the Non Destructive Testing (NDT) context, leads to poor signal to noise ratios as low amplitude signals are emitted and only a fraction of the energy reaches the potential defect. The use of phase laws, that is the simultaneous emission with multiple sensors, enables better signal to noise ratios. However, the drawback may be a loss on the conditioning of the method, which may lead to higher sensitivity to noise in the end. This paper shows how to choose the sensors and the phase laws to obtain a satisfactory imaging results. This is exemplified on experimental data acquired in a steel plate with a circular hole.

本文介绍了用相控阵数据作为弹性波导线性采样方法的输入。事实上，这种方法可以实现高频率，因此高分辨率，检查波导，这是感兴趣的，例如无损检测应用。然而，使用单发射器数据，也称为无损检测（NDT）环境中的全矩阵捕获，会导致低振幅信号的低信噪比，并且只有一小部分能量到达潜在缺陷。使用相位定律，即与多个传感器同时发射，可以实现更好的信噪比。然而，缺点可能是该方法在调节上的损失，最终可能导致对噪声的灵敏度更高。本文介绍了如何选择传感器和相位规律，以获得满意的成像效果。这是在带圆孔的钢板上获得的实验数据的例子。

引用次数: 0

Crossover from single to two-peak fundamental solitons in nonlocal nonlinear media 非局部非线性介质中单峰到双峰基本孤子的交叉

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2024-11-19 DOI: 10.1016/j.wavemoti.2024.103445

Ameer B. Batarseh , M. Javad Zakeri , Andrea Blanco-Redondo , Marek Trippenbach , David Hagan , Wieslaw Krolikowski , Pawel S. Jung

Bright solitons with two in-phase peaks can form in a nonlinear homogeneous medium due to competing nonlocal interactions. This study explores the emergence and transformation of these solitons, considering both additive and multiplicative models for the competing nonlinear self-focusing and self-defocusing effects. We show that high input power can trigger the formation of the stable, double-peaked solitons. Furthermore, we introduce a semi-analytical approach (SAA) to accurately predict the critical conditions where single-peak solitons transition to double-peak ones. The SAA combines the variational approach with a linear eigenmode solver, achieving good agreement with exact simulations while being significantly faster. Our work emphasizes the importance of nonlocality in soliton formation and introduces SAA as a valuable tool for future investigations.

在非线性均匀介质中，由于相互竞争的非局部相互作用，可以形成具有两个同相峰的亮孤子。本研究探讨了这些孤子的产生和转变，考虑了相互竞争的非线性自聚焦和自散焦效应的加性和乘性模型。我们证明了高输入功率可以触发稳定的双峰孤子的形成。此外，我们还引入了一种半解析方法（SAA）来准确预测单峰孤子向双峰孤子转变的临界条件。SAA将变分方法与线性特征模态求解器相结合，与精确模拟结果吻合较好，同时速度显著提高。我们的工作强调了非定域性在孤子形成中的重要性，并介绍了SAA作为未来研究的一个有价值的工具。

引用次数: 0

Quasi-periodic breathers and their dynamics to the Fokas system in nonlinear optics 非线性光学中Fokas系统的准周期呼吸子及其动力学

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2024-11-19 DOI: 10.1016/j.wavemoti.2024.103449

Pengcheng Xin, Zhonglong Zhao, Yu Wang

The Fokas system is widely applied in nonlinear optics which can be used to describe the propagation behavior of optical solitons. An effective method for constructing the quasi-periodic breathers of the Fokas system is presented by combining the Hirota’s bilinear method with the theta function. The solvable problem of the quasi-periodic breathers is successfully transformed into a least squares problem whose numerical solutions ultimately are obtained through the Gauss–Newton method and the Levenberg–Marquardt method. Theoretical inference and numerical results show that when the real part of the diagonal elements of the Riemann matrix tends to positive infinity, the quasi-periodic breathers can be reduced to regular breathers. By analyzing the propagation characteristics of the quasi-periodic breathers, these quasi-periodic breathers are divided into three categories, general quasi-periodic breathers, quasi-periodic approximate Kuznetsov–Ma breathers and quasi-periodic Akhmediev breathers. Furthermore, by using an analytical method related to the characteristic lines for the quasi-periodic breathers, the dynamic characteristics including the periods and wave velocities of the quasi-periodic breathers are analyzed.

Fokas系统在非线性光学中有着广泛的应用，它可以用来描述光孤子的传播行为。将Hirota双线性方法与theta函数相结合，提出了一种构造Fokas系统准周期呼吸子的有效方法。将拟周期呼吸子的可解问题转化为最小二乘问题，最终通过高斯-牛顿方法和Levenberg-Marquardt方法得到了最小二乘问题的数值解。理论推导和数值结果表明，当黎曼矩阵对角元的实部趋于正无穷时，拟周期呼吸子可以化简为正则呼吸子。通过分析准周期呼吸器的传播特性，将这些准周期呼吸器分为三类：一般准周期呼吸器、准周期近似Kuznetsov-Ma呼吸器和准周期Akhmediev呼吸器。在此基础上，利用与准周期呼吸器特征线相关的分析方法，分析了准周期呼吸器的周期和波速等动态特性。

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引用次数: 0

High degree simplification and tunable absorption features of terahertz metamaterial absorber 太赫兹超材料吸收器的高度简化和可调吸收特性

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2024-11-17 DOI: 10.1016/j.wavemoti.2024.103450

Shahzad Anwar , Ghafar Ali , Maaz Khan , Forough Bozorgzadeh

This work demonstrated to attain a multiband absorption in the terahertz region with high degree simplification and tunable absorption characteristics. The design model composed of an H-type resonator placed above on a middle layer (dielectric medium) and a metallic layer at the bottom. The single sized resonator strongly interacts with incident electromagnetic wave resulting four near perfect absorption peaks located at 0.625 THz, 1.85 THz, 2.075 THz, and 2.5 THz. Moreover, the suggested design was also investigated for active modulation features by inserting vanadium dioxide (VO2) material into the design metamaterial structure due to which the quad-band absorption profile exhibits a switchable function by variation in the state phase of VO2 from insulator to metallic phase. Therefore, the design structure could have wide range of potential THz technology related field applications.

这项工作证明了在太赫兹区域实现了高度简化和可调吸收特性的多波段吸收。该设计模型由一个h型谐振器置于中间层（介电介质）之上，底部为金属层组成。单尺寸谐振腔与入射电磁波强烈相互作用，产生四个接近完美的吸收峰，分别位于0.625 THz, 1.85 THz， 2.075 THz和2.5 THz。此外，通过在设计的超材料结构中插入二氧化钒（VO2）材料，研究了所建议的设计的主动调制特性，从而使四波段吸收曲线在VO2的状态相从绝缘体到金属相的变化中表现出可切换的功能。因此，该设计结构具有广泛的太赫兹技术相关领域应用潜力。

引用次数: 0

Water wave interactions with surface-piercing vertical barriers in a rectangular tank: Connections with Bloch waves and quasimodes 水波与矩形水箱中表面穿透垂直障碍物的相互作用：与布洛赫波和准模态的联系

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2024-11-16 DOI: 10.1016/j.wavemoti.2024.103444

Ben Wilks , Fabien Montiel , Luke G. Bennetts , Sarah Wakes

Eigenmodes are studied for a fluid-filled rectangular tank containing one or more vertical barriers, and on which either Dirichlet or Neumann boundary conditions are prescribed on the lateral walls. In the case where the tank contains a single barrier, the geometry of the tank is equivalent to the unit cell of the cognate periodic array, and its eigenmodes are equivalent to standing Bloch waves. As the submergence depth of the barrier increases, it is shown that the passbands (i.e. frequency intervals in which the periodic array supports Bloch waves) become thinner, and that this effect becomes stronger at higher frequencies. The eigenmodes of a uniform array of vertical barriers in a rectangular tank are also considered. They are found to be a superposition of left- and right-propagating Bloch waves, which couple together at the lateral walls of the tank. A homotopy procedure is used to relate the eigenmodes to the quasimodes of the same uniform array in a fluid of infinite horizontal extent, and the quasimodes are shown to govern the response of the array to incident waves. Qualitative features of the mode shapes are typically preserved by the homotopy, which suggests that the resonant responses of the array in an infinite fluid can be understood in terms of modes of the array in a finite tank.

研究了含有一个或多个垂直障碍物的充液矩形水箱的特征模态，其侧壁上规定了迪里夏特或诺伊曼边界条件。在水箱包含单个障碍物的情况下，水箱的几何形状等同于同周期阵列的单元格，其特征模态等同于驻波布洛赫波。研究表明，随着屏障浸没深度的增加，通带（即周期阵列支持布洛赫波的频率间隔）会变得更薄，频率越高，这种效应越强。研究还考虑了矩形水箱中均匀排列的垂直屏障的特征模。研究发现，它们是左传和右传布洛赫波的叠加，在水箱侧壁处耦合在一起。利用同调程序将特征模态与无限水平流体中同一均匀阵列的准模态联系起来，结果表明准模态控制着阵列对入射波的响应。同构法通常保留了模式形状的定性特征，这表明无限流体中阵列的共振响应可以用有限水箱中阵列的模式来理解。

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引用次数: 0

Size-dependent torsional oscillation of an elastic wire with circular cross-section 具有圆形截面的弹性金属丝的尺寸相关扭转振荡

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2024-11-15 DOI: 10.1016/j.wavemoti.2024.103452

Ali R. Hadjesfandiari , Gary F. Dargush

Consistent couple stress theory (C-CST) provides the framework for the present investigation of size-dependent effects in the torsional oscillation of elastic circular wires. By using this form of couple stress theory, we are able to develop the first self-consistent size-dependent mechanics solution for this fundamental continuum dynamics problem that satisfies all boundary conditions without approximation. In addition, we derive the dispersion relations and characteristics for torsional waves in C-CST and the natural torsional modes for a finite length wire with fixed ends. Appendices provide a study of the general character of the C-CST eigensolutions and examine the torsional oscillation problem under classical and Mindlin-Tiersten-Koiter couple stress elastodynamics.

一致耦合应力理论（C-CST）为研究弹性圆钢丝扭转振动的尺寸相关效应提供了框架。通过使用这种形式的耦合应力理论，我们能够为这个基本连续体动力学问题开发第一个自一致的尺寸相关力学解，该解满足所有边界条件而无需近似。此外，我们还推导了C-CST中扭转波的频散关系和特性，以及有限长度固定端线的固有扭转模态。附录研究了C-CST本征解的一般特征，并研究了经典和Mindlin-Tiersten-Koiter耦合应力弹性动力学下的扭转振动问题。

引用次数: 0

Generalized analytical solutions of a Korteweg–de Vries (KdV) equation with arbitrary real coefficients: Association with the plasma-fluid framework and physical interpretation 具有任意实系数的 Korteweg-de Vries (KdV) 方程的广义解析解：与等离子体流体框架的关联和物理解释

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2024-11-09 DOI: 10.1016/j.wavemoti.2024.103443

Kuldeep Singh , Ioannis Kourakis

The Korteweg–de Vries (KdV) equation can be derived from a plasma-fluid model via a reductive perturbation technique. The associated methodology is summarized, from first principles, focusing on the underlying physical assumptions involved in the plasma-theoretical framework. A beam permeated electron-ion plasma is assumed, although the main findings of this study may be extended to more complicated plasma configurations. Rather counter-intuitively, it is shown that either of the (two) real coefficients appearing in the KdV equation (actually, both depending parametrically on the plasma configuration and on the beam characteristics) may take either positive or negative values, a possibility overlooked in the past. Different possibilities are investigated, from first principles, regarding the sign of the nonlinearity coefficient

A

(that is determined by the electron background statistics, in combination with the beam velocity) and the sign of the dispersion coefficient

B

(that is solely determined by the beam velocity and is always positive in its absence). The possibility of polarity reversal is investigated from first principles, in relation with both the electrostatic potential (pulse) profile and its associated electric field (bipolar pulse)

E = - \nabla ϕ

in the electrostatic approximation. Different types of excitations are shown to exist and the role of the (sign of the) various coefficients in the pulse-shaped solution’s propagation characteristics is discussed.

Korteweg-de Vries（KdV）方程可以通过还原扰动技术从等离子体流体模型中推导出来。本文从第一原理出发，总结了相关方法，重点介绍了等离子体理论框架所涉及的基本物理假设。虽然本研究的主要发现可以扩展到更复杂的等离子体配置，但我们还是假设了一种束渗透电子-离子等离子体。与直觉相反的是，研究表明 KdV 方程中出现的（两个）实系数（实际上，这两个系数都取决于等离子体构型和束流特性的参数）既可以取正值，也可以取负值，而这种可能性过去一直被忽视。我们从第一原理出发，研究了非线性系数 A 的符号（由电子背景统计和光束速度共同决定）和色散系数 B 的符号（仅由光束速度决定，在没有光束速度的情况下始终为正）的不同可能性。根据静电近似的静电势（脉冲）剖面及其相关电场（双极脉冲）E=-∇j，从第一原理研究了极性反转的可能性。结果表明存在不同类型的激励，并讨论了各种系数（符号）在脉冲形溶液传播特性中的作用。

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引用次数: 0

Oblique wave propagation over uneven flexible base in a fluid having free-surface tension 在具有自由表面张力的流体中，波在凹凸不平的柔性基底上斜向传播

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2024-11-02 DOI: 10.1016/j.wavemoti.2024.103433

Balaram Sahu , Smrutiranjan Mohapatra , Manas Ranjan Sarangi

A hydroelastic model has been introduced to study the impact of free surface tension on the propagation of oblique incident waves over small distortions on a thin, flexible floor of a fluid region. There are two varieties of time-harmonic propagating waves (free-surface and flexural modes) that exist in the region in the case of any specific frequency. One variety of proliferating waves having smaller wavenumber spreads on the top surface, while another spreads along the thin, flexible base. Using perturbation expansion involving a small parameter

ϵ

, the primary boundary value problem (bvp) is converted to a new bvp for the first-order approximation of the potential function. Subsequently, employing the Fourier transform approach, the first-order approximation of reflected and transmitted energy are acquired in the case of both modes of waves. Two specific examples of irregular floor are taken up to validate the theoretical outcomes flourished in this study. The influence of free-surface tension and flexible floor on the oblique wave propagation over uneven floor are analyzed and depicted graphically for certain sets of parametric values involved in the problem. The presence of free-surface tension on the upper boundary of the fluid introduces a third-order linearized boundary condition into the formulation of the wave-structure interaction problem, unlike the usual homogeneous first-order condition applicable for a free-surface. When a series of obliquely incident waves corresponding to free-surface and flexural modes spread over an irregular flexible floor of the fluid, the free-surface tension acts as a resistive force to the surface gravity waves. It can be inferred from this that the influence of surface tension at the free-surface of the fluid should not always be overlooked while dealing with the linear wave-structure interaction problem. Further, numerical estimation of reflected and transmitted energy for both varieties of time-harmonic waves are presented to confirm the analytical forms of energy relations almost accurately.

我们引入了一个流体弹性模型来研究自由表面张力对倾斜入射波在流体区域的薄柔性底面上的小变形传播的影响。在任何特定频率的情况下，该区域存在两种时谐传播波（自由表面和挠曲模式）。其中一种增殖波具有较小的波数，在顶面传播，而另一种增殖波则沿着薄而柔韧的底面传播。利用涉及一个小参数ϵ 的扰动展开，初级边界值问题 (bvp) 被转换为一个新的一阶近似势函数 bvp。随后，利用傅立叶变换方法，获得了两种模式波的反射能量和透射能量的一阶近似值。本研究通过两个不规则地板的具体实例来验证其理论成果。分析了自由表面张力和柔性地板对斜波在不平整地板上传播的影响，并用图形描述了问题所涉及的某些参数值集。流体上边界自由表面张力的存在为波浪-结构相互作用问题的表述引入了三阶线性化边界条件，这与适用于自由表面的通常均质一阶条件不同。当一系列与自由表面模式和挠曲模式相对应的斜入射波在流体的不规则柔性底面上传播时，自由表面张力对表面重力波起阻力作用。由此可以推断，在处理线性波与结构相互作用问题时，不应总是忽略流体自由表面的表面张力的影响。此外，还对两种时谐波的反射能量和透射能量进行了数值估算，从而几乎准确地证实了能量关系的分析形式。

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引用次数: 0

Nonlinear incompressible shear wave models in hyperelasticity and viscoelasticity frameworks, with applications to Love waves 超弹性和粘弹性框架中的非线性不可压缩剪切波模型及其在爱波中的应用

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2024-11-01 DOI: 10.1016/j.wavemoti.2024.103434

Shawn Samuel Carl McAdam, Samuel Opoku Agyemang, Alexei Cheviakov

General equations describing shear displacements in incompressible hyperelastic materials, holding for an arbitrary form of strain energy density function, are presented and applied to the description of nonlinear Love-type waves propagating on an interface between materials with different mechanical properties. The model is valid for a broad class of hyper-viscoelastic materials. For the Murnaghan constitutive model, shear wave equations contain cubic and quintic differential polynomial terms, including viscoelasticity contributions in terms of dispersion terms that include mixed derivatives

u_{x x t}

of the material displacement. Full (2+1)-dimensional numerical simulations of waves propagating in the bulk of a two-layered solid are undertaken and analysed with respect to the source position and mechanical properties of the layers. Interfacial nonlinear Love waves and free upper surface shear waves are tracked; it is demonstrated that in the fully nonlinear case, the variable wave speed of interface and surface waves generally satisfies the linear Love wave existence condition

c_{1} < (v) < c_{2}

, while tending to the larger material wave speed

c_{1}

c_{2}

for large times.

本文提出了描述不可压缩超弹性材料剪切位移的一般方程，该方程适用于任意形式的应变能密度函数，并将其应用于描述在具有不同机械特性的材料之间的界面上传播的非线性洛夫型波。该模型适用于一大类超粘弹性材料。对于 Murnaghan 构成模型，剪切波方程包含三次和五次微分多项式项，其中包括粘弹性贡献，即包含材料位移混合导数 uxxt 的分散项。对波在双层固体体中传播进行了全 (2+1) 维数值模拟，并根据源位置和层的机械特性进行了分析。对界面非线性洛夫波和自由上表面剪切波进行了跟踪；结果表明，在全非线性情况下，界面波和表面波的可变波速一般满足线性洛夫波存在条件 c1<v<c2，同时在大时间内趋向于较大的材料波速 c1 或 c2。

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引用次数: 0

Scorer beams in highly nonlocal media with a nonlinearity coefficient and an external potential 具有非线性系数和外部势能的高度非局部介质中的扫描器光束

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2024-10-31 DOI: 10.1016/j.wavemoti.2024.103442

Wei-Ping Zhong , Milivoj Belić , Zhengping Yang

The Snyder-Mitchell model of accessible solitons is a simple model that reduces the dynamics of solitons in highly nonlocal nonlinear media to a linear dynamical system with harmonic potential. Utilizing this model in a system with a nonlinearity coefficient and an external potential generated in highly nonlocal media, we explore its solution by the methods of variable separation and self-similar transformation. We discover a special solution of the model that includes Scorer functions, for which reason we call it the Scorer beam. The transmission dynamics of the Scorer beam in strongly nonlocal nonlinear media is analytically and numerically investigated. Under the specific condition of applying an exponential truncation factor, the evolution of the Scorer beam is more stable and converges faster. We also find that the Scorer beam exhibits self-bending and self-healing characteristics. Our results provide theoretical and numerical guidance for generating Scorer beams that might prove useful for future experimental exploration.

斯奈德-米切尔可达孤子模型是一个简单的模型，它将高度非局部非线性介质中的孤子动力学简化为一个具有谐波势的线性动力系统。利用这一模型，我们在高度非局部介质中产生的具有非线性系数和外部势能的系统中，用变量分离和自相似变换的方法探索了它的解。我们发现该模型的一个特殊解包含 Scorer 函数，因此我们称之为 Scorer 梁。我们对 Scorer 光束在强非局部非线性介质中的传输动力学进行了分析和数值研究。在应用指数截断因子的特定条件下，Scorer 光束的演化更加稳定，收敛速度更快。我们还发现 Scorer 梁具有自弯曲和自愈合特性。我们的研究结果为生成 Scorer 梁提供了理论和数值指导，可能对未来的实验探索有用。

引用次数: 0

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