Inverse acoustic scattering by solid obstacles: topological sensitivity and its preliminary application

A to pological sensitivity approach is developed for the imaging of penetrable solid obstacles embedded in a fluid background medium by way of inverse acoustic scattering. To this end, an asymptotic form for the scattered field caused by a nucleating spherical solid obstacle in the reference fluid medium is derived within the boundary integral equation framework, where the required limiting behaviour of the acceleration field inside the perturbation is established based on solutions of two simplified fluid–solid interaction problems. With this result, the equivalence of acoustic scattering by fluid and solid scatterers in terms of asymptotic behaviour is observed and numerically validated. The direct and adjoint-field topological sensitivity expressions for transient and time-harmonic excitations are obtained accordingly. The utility of the proposed method as a tool for preliminary obstacle reconstruction and bulk modulus characterization is illustrated through numerical examples and an exploratory experimental study. On the basis of adjusted topological sensitivity formulas for fluid reference domains containing pre-existing solid inhomogeneities, an iterative 3D obstacle reconstruction approach is established and its performance with synthetic data is demonstrated.     

A new formalism for time-dependent electromagnetic scattering from a bounded obstacle

In this paper a time-dependent three-dimensional electromagnetic scattering problem is considered. Let R ³ be the three-dimensional real Euclidean space filled with a medium of electric permittivity , magnetic permeability and zero electric conductivity. The quantities , are positive constants and there are no free charges in the space and the free current is taken to be zero. Let R ³ be a bounded simply connected obstacle with a locally Lipschitz boundary , that is assumed to have a nonnegative constant boundary electromagnetic impedance. The limit cases of perfectly conducting and perfectly insulating obstacles are studied. An incoming electromagnetic wave packet that hits is considered, and a method that solves the Maxwell equations to compute the corresponding electromagnetic field scattered by as a superposition of time harmonic electromagnetic waves is proposed. These time-harmonic electromagnetic waves are the solutions of exterior boundary-value problems for the vector Helmholtz equation with the divergence-free condition and they are computed with an `operator expansion' method that generalizes the method presented by L. Fatone et al.[J. Math. Phys. 40 (1999) 4859–4887]. The method proposed here is computationally very efficient. In fact, it is highly parallelizable with respect to time and space variables. Several numerical experiments obtained with a parallel implementation of the method are shown. The numerical results obtained are discussed from a numerical and a physical point of view. The quantitative character of the numerical experiments shown is established. The website: http://www.econ.unian.it/recchioni/w4/ contains some animations relative to the numerical experiments.     

Model of the acoustic microscope response to scattering by a near-surface void

The response of the scanning acoustic microscope to scattering by a near-surface void is formulated rigorously. The transmission and reception responses of the acoustic microscope transducer-lens assembly are represented as Fourier spatial frequency spectra. Likewise, the interaction of the focused wavefield with the specimen fluid-solid interface is formulated via Fourier integrals. The scattering of the focused beam by a void positioned within the solid near the fluid-solid interface is formulated as a boundary integral equation employing the Green function for contacting fluid-solid half-spaces. The problem is evaluated numerically to demonstrate the scattering response dependence on void depth, transducer defocus, and void diameter.     

Numerical comparison of two meshfree methods for acoustic wave scattering

Density results using an infinite number of acoustic waves allow us to derive meshless methods for solving the homogeneous and the inhomogeneous Helmholtz equation. In this paper we consider the numerical simulation of acoustic scattering problems in a bounded domain using the plane waves method and the method of fundamental solutions. We establish a link between the two methods, namely the plane waves method may be seen as the asymptotic case of the method of fundamental solutions for distant source points. Several numerical tests comparing these methods are presented.     

两类声速测温方法的研究与比较

声学测温是一种先进的温度测量方法，与传统方法相比，具有很多优势。而在声学测温的各种方法中，基于声波传播时间的声速测温方法又是一种比较好的、应用更广泛的方法。本文着重对气体介质中声速测温的两类测量方法进行了研究和比较，分析了其各自的优势与不足。结果表明，直接传播测量方法是一种更有潜力、应用更广泛的测温方法。     

An adaptive quadrature-based factorization method for inverse acoustic scattering problems

We propose a novel adaptive algorithm, which generates nonuniform sampling points that automatically concentrate near the boundary of an unknown scatterer, to dramatically speed up Kirsch’s factorization method for inverse acoustic scattering problems. Built upon the widely used adaptive Simpson quadrature method, our proposed adaptive algorithm approximates the integral of an indicator function over the search domain and yields reliable and accurate reconstructions significantly faster than the standard factorization method. Numerical experiments are performed to validate the effectiveness of our proposed algorithm and make comparisons with the established multilevel linear sampling method.     

一种用于水声运动目标成像的空间散射模型

水声成像过程中为了分析所接收的运动目标回波、理解接收信号的形成机理,提出了一种用于该情况的空间散射模型,并利用此模型仿真了"T"型阵成像声呐接收的回波信号。对信号的分析说明了空间散射模型的正确性。以空间散射模型为基础,利用傅里叶变换波束形成算法对不同条件下的球体目标进行了水声成像,并分析了成像性能。性能分析说明了水声目标大小、距离等因素对成像的影响情况,还特别强调了在运动情况下目标的成像情况。以上工作完成了对"T"型阵水声成像过程的模拟,为成像过程回波信号研究和成像声呐研制提供了理论基础和仿真手段。     

求解水下非圆弹性环声散射问题的一种半解析方法

基于传递矩阵法、齐次扩容精细积分法和复数矢径虚拟边界谱方法 ,提出了一种求解水下非圆弹性环声散射问题的半解析方法。该方法具有以下几个优点 :(1)采用复数矢径虚拟边界谱方法 ,不仅能保证在全波数域内Helmholtz外问题解的唯一性 ,而且由于虚拟源强密度函数采用 Fourier级数展开 ,克服了用单元离散解法不能用于较高频率范围的缺点 ;(2 )采用齐次扩容精细积分法求解非圆弹性环的状态微分方程 ,其计算结果具有很高的精度 ;(3)耦合方程不需要交错迭代求解 ,提高了计算效率。文中给出了两个典型非圆弹性环在平面声波激励下的声散射算例 ,计算结果表明本文方法是一种求解二维非圆弹性环声散射问题非常有效的半解析法。     

Boundary element method calculation for coherent electromagnetic scattering from two and three dielectric spheres

A quadratic, isoparametric boundary element formulation has been used to calculate the multiple scattering of electromagnetic waves from systems of two and three dielectric spheres. Extinction efficiency results for the scattering of a plane wave are presented for variations of the separation of the two spheres in three kinds of orientations of the system with respect to the incident wave. These have been verified against analytical calculations based on Mie's theory and calculations by other authors. The results demonstrate a large side scattering resonance (the so-called specular resonance). Agreement between the results establishes the boundary element method as a very powerful tool for solving multiple scattering problems because the method applies to arbitrarily shaped objects having a homogeneous dielectric constant in any configuration. To illustrate the versatility of the method, scattering from three spheres is calculated.     

Use of piezoelectric as acoustic emission sensor for in situ monitoring of composite structures

In this paper, the influence of the integration of several sensors in composite structures is investigated. The plates and the structures in simple shapes, composed of laminated and sandwich materials, are considered. The mechanical behaviour, the acoustics activity and the location of damage sources in various structures with and without piezoelectric implant are compared. The analysis of results allowed a better identification of the influence of the impact of piezoelectric implant on the mechanical behaviour of different structures under different loads. Then, the analysis and the observation of Acoustic Emission (AE) signals led to the identification of the main acoustic signatures of different damage modes dominant in each type of composite materials (laminates and sandwich). Viewpoint comparison between integrated and non-integrated structures, acoustic activity is more significant in the case of integrated material. The location of the sources of damage has shown that acoustic events occurred far from the positions of integrated sensors.     

Linearized inversion methods for three-dimensional electromagnetic imaging in the multiple scattering regime

In optical or microwave computational tomography, the sample permittivity is reconstructed numerically from the measurements of its scattered field for various illuminations. When the light sample interaction involves multiple scattering, the relationship between the scattered field and the permittivity is non-linear and a direct reconstruction is not possible. Using a simple physical approach, adapted to the three-dimensional vectorial electromagnetic framework, we derive an iterative inversion technique, based on the linearization of the scattering operator, for imaging (possibly anisotropic) targets in the multiple scattering regime. We investigate the performances of different approximations of this operator accounting for more or less multiple scattering. Our method is applied to the reconstruction of targets in the microwave domain using experimental data.     

刚性曲面障板散射对多模球形水听器测向的影响

文章将板块元法应用于收-发分置时近场散射声场的计算,讨论了存在刚性曲面障板时障板散射对多模球形水听器测向的影响。研究结果表明,刚性曲面障板会使水听器在某些方位出现较大的测向误差,此时目标信号频率和俯仰角变化也会对测向产生较大的影响。存在刚性曲面障板时,等效声中心不对称对测向误差的影响较小,而等效声中心不共面对测向误差的影响要比不对称时明显得多。     

A fictitious domain decomposition method for the solution of partially axisymmetric acoustic scattering problems. Part I: Dirichlet boundary conditions

We present a fictitious domain decomposition method for the fast solution of high‐frequency acoustic scattering problems characterized by a partially axisymmetric sound‐soft scatterer. We apply this method to the solution of various mockup submarine problems, and highlight its computational advantages and intrinsic parallelism. Copyright © 2002 John Wiley & Sons, Ltd.     

快速预估水下圆形角反射体散射声场的修正声束弹跳方法

针对水下圆形角反射体散射声场计算速度问题,在声束弹跳法基础上,提出了一种快速预估散射声场的修正声束弹跳法。对组成圆形三面角反射体的弧形边缘进行离散化,相邻离散点与角反射体顶点构成板块元,并与声源点构成入射声束,利用几何声学计算每条声束在角反射体反射面上的反射,同时得到反射面上每条声束"照射"后再次构成的板块元,用物理声学方法计算所有板块元的散射声场,叠加求和得到整个角反射的散射声场。通过与原始的声束弹跳法计算结果的对比,两者计算结果一致,修正声束弹跳法降低了计算量。     

A BEM sensitivity and shape identification analysis for acoustic scattering in fluid–solid problems

In this paper a boundary element formulation for the sensitivity analysis of structures immersed in an inviscide fluid and illuminated by harmonic incident plane waves is presented. Also presented is the sensitivity analysis coupled with an optimization procedure for analyses of flaw identification problems. The formulation developed utilizes the boundary integral equation of the Helmholtz equation for the external problem and the Cauchy–Navier equation for the internal elastic problem. The sensitivities are obtained by the implicit differentiation technique. Examples are presented to demonstrate the accuracy of the proposed formulations. © 1998 John Wiley & Sons, Ltd.     

Digital twinning for smart hospital operations: Framework and proof of concept

Analyzable data capturing physical entity activities is a prerequisite for complex hospital operational decision-makings. However, there is a lack of effective strategies to integrate real-time data from multiple sources for efficient clinical and non-clinical operations in healthcare settings. Drawing on previous explorations of digital twins that facilitate real-time feedback of physical entities, we propose a conceptual framework of digital twinning for smart hospitals, with identified information needs and enabling technologies. A pilot platform is developed and tested in a Shanghai municipal hospital. The results indicate that the digital twinning method enables continuous real-time control of related operational tasks, and further promotes the development of digitization, automation, and intelligence in hospital operations.     

A fictitious domain decomposition method for the solution of partially axisymmetric acoustic scattering problems. Part 2: Neumann boundary conditions

We present a fictitious domain decomposition method for the fast solution of acoustic scattering problems characterized by a partially axisymmetric sound‐hard scatterer. We apply this method to the solution of a mock‐up submarine problem, and highlight its computational advantages and intrinsic parallelism. A key component of our method is an original idea for addressing a Neumann boundary condition in the general framework of a fictitious domain method. This idea is applicable to many other linear partial differential equations besides the Helmholtz equation. Copyright © 2003 John Wiley & Sons, Ltd.     

Boundary integral equation analysis for radiation and scattering of elastic waves in three dimensions

Abstract

In this paper, the boundary integral equation (BIE) method is employed to investigate the radiation and scattering of time‐harmonic elastic waves by obstacles of arbitrary shape embedded in an infinite medium. Based on the vector BIE, entirely free of Cauchy principal value integrals, an efficient numerical scheme using quadratic isoparametric boundary elements is proposed. Furthermore, the difficulty of non‐uniquess of a solution inherent with BIE formulations for exterior elastodynamic problems is studied numerically and analytically. The counterparts of the combined Helmholtz integral formulation method for elastodynamics together with the least‐square or Lagrange‐multiplier technique are derived and applied to overcome this difficulty successfully. In addition, the elastic‐wave fields radiated or scattered by either a spherical cavity or a rigid sphere in an infinite medium are calculated and the results are compared with the analytical solutions to demonstrate the accuracy and versatility of the proposed numerical scheme.     

A modified Burton-Miller algorithm for treating the uniqueness of representation problem for exterior acoustic radiation and scattering problems

A modification to the Burton-Miller algorithm is formulated for exterior acoustic radiation and scattering problems which resolves the uniqueness of representation problem associated with the Helmholtz integral equation method (HIEM) at the interior eigenvalues. In particular, this modification reduces the required number of integral equation evaluations and allows for the continued use of the popular higher-order Lagrangian shape functions. Several example problems are considered to demonstrate the difficulties and subtleties of the uniqueness of representation problems associated with the Helmholtz integral equation method and to demonstrate the effectiveness of the modified Burton-Miller algorithm in overcoming these problems.     

Defining a Digital Twin-based Cyber-Physical Production System for autonomous manufacturing in smart shop floors

Smart manufacturing is the core idea of the fourth industrial evolution. For a smart manufacturing shop floor, real-time monitoring, simulation and prediction of manufacturing operations are vital to improve the production efficiency and flexibility. In this paper, the Cyber-Physical System (CPS) and Digital Twin technologies are introduced to build the interconnection and interoperability of a physical shop floor and corresponding cybershop floor. A Digital Twin-based Cyber-Physical Production System (DT-CPPS) is further established, and the configuring mechanism, operating mechanism and real-time data-driven operations control of DT-CPPS are discussed in detail. It is expected that DT-CPPS will provide the basis for shop floors to march towards smart manufacturing.