超声水平剪切(Shear horizontal,SH)导波在工业在役板材成像检测和结构健康监测(Structural health monitoring,SHM)中有重要的应用价值。基于合成孔径聚焦方法,对钢板中人工缺陷用超声SH导波进行成像,对边界散射条件下的成像检测阵列...超声水平剪切(Shear horizontal,SH)导波在工业在役板材成像检测和结构健康监测(Structural health monitoring,SHM)中有重要的应用价值。基于合成孔径聚焦方法,对钢板中人工缺陷用超声SH导波进行成像,对边界散射条件下的成像检测阵列信号进行分析,探讨了边界散射对超声SH导波成像检测的影响。研究结果表明,基于合成孔径聚焦的超声SH导波成像方法用于板材缺陷成像检测时,超声边界散射使成像信号'双曲线'阵列特征弱化,缺陷声波信号衰减增大,信号散射噪声增强,进而使成像清晰度降低,易导致漏检;同时边界散射会造成同一缺陷信号产生'双峰'或'多峰',成像信号'双曲线'阵列特征紊乱,使成像发生畸变,会导致误检。这将为进一步改进工业在役大尺度板材超声导波成像质量与提高结构健康监测水平提供重要基础。展开更多
The finite element artificial transmitting boundary method is employed here to treat the near field scattering of a cylindrical wave from an irregular cylinder. A comparison is made between this method and the analy...The finite element artificial transmitting boundary method is employed here to treat the near field scattering of a cylindrical wave from an irregular cylinder. A comparison is made between this method and the analytical one. And then examples are given to demonstrate the solution of several problems of the irregular object scattering. The method can not only produce clear physical pictures, but can efficiently handle many complicated scattering problems.展开更多
针对硅微纳米薄膜热导率存在严重尺度效应的问题,提出一种等效边界散射自由程近似的全耗尽绝缘体上硅(FD SOI)金属氧化物半导体场效应晶体管(MOSFET)硅薄膜热导率尺度效应模型。探讨硅材料内声子散射机理,量化考虑束缚态与自由态电子影...针对硅微纳米薄膜热导率存在严重尺度效应的问题,提出一种等效边界散射自由程近似的全耗尽绝缘体上硅(FD SOI)金属氧化物半导体场效应晶体管(MOSFET)硅薄膜热导率尺度效应模型。探讨硅材料内声子散射机理,量化考虑束缚态与自由态电子影响的声子弛豫时间,推导得到硅材料热导率解析模型;深入研究声子边界散射机制,近似求解衡量尺度效应的衰减因子,获取等效声子边界散射平均自由程;考虑由粗糙度引起的界面效应,利用Matthiessen规则将硅材料内声子散射与声子边界散射等过程进行耦合,建立起适用于纳米FD SOI MOSFET硅薄膜热导率解析模型,并利用Asheghi原始模型与实验测试数据对等效边界散射自由程近似热导率模型进行了验证。模型计算结果表明,硅薄膜内声子边界散射等效平均自由程约为薄膜厚度的2.5倍。声子边界散射在微尺度与纳尺度声子热传输过程中占据主导地位,决定了硅薄膜内声子超快热传输特性。采用等效边界散射自由程近似的热导率模型能够与Asheghi模型及实验测试数据较好地吻合,更加凸显衰减因子的物理意义以及有效地揭示纳米器件有限空间热导率的尺度效应。展开更多
Mode matching method is used to analyze the scattering characteristics of thecircular-to-circular groove waveguide junction. Matching the electric fields and magnetic fields atthe boundary of the junction, and multipl...Mode matching method is used to analyze the scattering characteristics of thecircular-to-circular groove waveguide junction. Matching the electric fields and magnetic fields atthe boundary of the junction, and multiplying the mode functions of the circular waveguide andcircular groove waveguide on both sides of the boundary equation, the scattering matrix equation isobtained, the scattering coefficients can be obtained from the equation. Then the scatteringcharacteristics of the iris with circular window in circular groove waveguide are analyzed. At lastthe convergent problem is discussed; when choosing a suitable mode group, convergent numericalresults are obtained, and the frequency response of the iris' scattering coefficients is also given.展开更多
Ultrasonic coda waves are widely usea to stuay hign-trequency scattering, however, ultrasonic coda waves are strongly affected by interference from by boundary-reflected waves. To understand the effect of boundary-ref...Ultrasonic coda waves are widely usea to stuay hign-trequency scattering, however, ultrasonic coda waves are strongly affected by interference from by boundary-reflected waves. To understand the effect of boundary-reflected waves, we performed ultrasonic experiments using aluminum and shale samples, and the rotating staggered-mesh finite-difference method to simulate the wavefield. We analyzed the wavefield characteristics at the different receiving points and the interference characteristics of the boundary-reflected waves with the ultrasonic coda wave, and the effect of sample geometry on the ultrasonic coda waves. The increase in the aspect ratio of the samples delays the interference effect of the laterally reflected waves and reduces the effect on the ultrasonic coda waves. The main waves interfering with the ultrasonic coda waves are laterally reflected PP-, PS-, PPP-, and PPS-waves. The scattering and attenuation of the high-frequency energy in actual rocks can weaken the interference of laterally reflected waves with the ultrasonic coda waves.展开更多
In this paper,we study the electromagnetic scattering from a two dimen- sional large rectangular open cavity embedded in an infinite ground plane,which is modelled by Helmholtz equations.By introducing nonlocal transp...In this paper,we study the electromagnetic scattering from a two dimen- sional large rectangular open cavity embedded in an infinite ground plane,which is modelled by Helmholtz equations.By introducing nonlocal transparent boundary con- ditions,the problem in the open cavity is reduced to a bounded domain problem.A hypersingular integral operator and a weakly singular integral operator are involved in the TM and TE cases,respectively.A new second-order Toeplitz type approximation and a second-order finite difference scheme are proposed for approximating the hyper- singular integral operator on the aperture and the Helmholtz in the cavity,respectively. The existence and uniqueness of the numerical solution in the TE case are established for arbitrary wavenumbers.A fast algorithm for the second-order approximation is pro- posed for solving the cavity model with layered media.Numerical results show the second-order accuracy and efficiency of the fast algorithm.More important is that the algorithm is easy to implement as a preconditioner for cavity models with more general media.展开更多
Two problems of scattering of surface water waves involving a semi-infinite elastic plate and a pair of semi-infinite elastic plates,separated by a gap of finite width,floating horizontally on water of finite depth,ar...Two problems of scattering of surface water waves involving a semi-infinite elastic plate and a pair of semi-infinite elastic plates,separated by a gap of finite width,floating horizontally on water of finite depth,are investigated in the present work for a two-dimensional time-harmonic case.Within the frame of linear water wave theory,the solutions of the two boundary value problems under consideration have been represented in the forms of eigenfunction expansions.Approximate values of the reflection and transmission coefficients are obtained by solving an over-determined system of linear algebraic equations in each problem.In both the problems,the method of least squares as well as the singular value decomposition have been employed and tables of numerical values of the reflection and transmission coefficients are presented for specific choices of the parameters for modelling the elastic plates.Our main aim is to check the energy balance relation in each problem which plays a very important role in the present approach of solutions of mixed boundary value problems involving Laplace equations.The main advantage of the present approach of solutions is that the results for the values of reflection and transmission coefficients obtained by using both the methods are found to satisfy the energy-balance relations associated with the respective scattering problems under consideration.The absolute values of the reflection and transmission coefficients are presented graphically against different values of the wave numbers.展开更多
Based on the impedance/admittance rough boundaries, the reflection coefficients and the scattering cross section with low grazing angle incidence are obtained for both VV and HH polarizations. The error of the classic...Based on the impedance/admittance rough boundaries, the reflection coefficients and the scattering cross section with low grazing angle incidence are obtained for both VV and HH polarizations. The error of the classical perturbation method at grazing angle is overcome for the vertical polarization at a rough Neumann boundary of infinite extent. The derivation of the formulae and the numerical results show that the backscattering cross section depends on the grazing angle to the fourth power for both Neumann and Dirichlet boundary conditions with low grazing angle incidence. Our results can reduce to that of the classical small perturbation method by neglecting the Neumann and Dirichlet boundary conditions.展开更多
文摘超声水平剪切(Shear horizontal,SH)导波在工业在役板材成像检测和结构健康监测(Structural health monitoring,SHM)中有重要的应用价值。基于合成孔径聚焦方法,对钢板中人工缺陷用超声SH导波进行成像,对边界散射条件下的成像检测阵列信号进行分析,探讨了边界散射对超声SH导波成像检测的影响。研究结果表明,基于合成孔径聚焦的超声SH导波成像方法用于板材缺陷成像检测时,超声边界散射使成像信号'双曲线'阵列特征弱化,缺陷声波信号衰减增大,信号散射噪声增强,进而使成像清晰度降低,易导致漏检;同时边界散射会造成同一缺陷信号产生'双峰'或'多峰',成像信号'双曲线'阵列特征紊乱,使成像发生畸变,会导致误检。这将为进一步改进工业在役大尺度板材超声导波成像质量与提高结构健康监测水平提供重要基础。
文摘The finite element artificial transmitting boundary method is employed here to treat the near field scattering of a cylindrical wave from an irregular cylinder. A comparison is made between this method and the analytical one. And then examples are given to demonstrate the solution of several problems of the irregular object scattering. The method can not only produce clear physical pictures, but can efficiently handle many complicated scattering problems.
文摘针对硅微纳米薄膜热导率存在严重尺度效应的问题,提出一种等效边界散射自由程近似的全耗尽绝缘体上硅(FD SOI)金属氧化物半导体场效应晶体管(MOSFET)硅薄膜热导率尺度效应模型。探讨硅材料内声子散射机理,量化考虑束缚态与自由态电子影响的声子弛豫时间,推导得到硅材料热导率解析模型;深入研究声子边界散射机制,近似求解衡量尺度效应的衰减因子,获取等效声子边界散射平均自由程;考虑由粗糙度引起的界面效应,利用Matthiessen规则将硅材料内声子散射与声子边界散射等过程进行耦合,建立起适用于纳米FD SOI MOSFET硅薄膜热导率解析模型,并利用Asheghi原始模型与实验测试数据对等效边界散射自由程近似热导率模型进行了验证。模型计算结果表明,硅薄膜内声子边界散射等效平均自由程约为薄膜厚度的2.5倍。声子边界散射在微尺度与纳尺度声子热传输过程中占据主导地位,决定了硅薄膜内声子超快热传输特性。采用等效边界散射自由程近似的热导率模型能够与Asheghi模型及实验测试数据较好地吻合,更加凸显衰减因子的物理意义以及有效地揭示纳米器件有限空间热导率的尺度效应。
文摘Mode matching method is used to analyze the scattering characteristics of thecircular-to-circular groove waveguide junction. Matching the electric fields and magnetic fields atthe boundary of the junction, and multiplying the mode functions of the circular waveguide andcircular groove waveguide on both sides of the boundary equation, the scattering matrix equation isobtained, the scattering coefficients can be obtained from the equation. Then the scatteringcharacteristics of the iris with circular window in circular groove waveguide are analyzed. At lastthe convergent problem is discussed; when choosing a suitable mode group, convergent numericalresults are obtained, and the frequency response of the iris' scattering coefficients is also given.
基金supported by the Strategic Leading Science and Technology Programme(Class B)of the Chinese Academy of Sciences(No.XDB10010400)
文摘Ultrasonic coda waves are widely usea to stuay hign-trequency scattering, however, ultrasonic coda waves are strongly affected by interference from by boundary-reflected waves. To understand the effect of boundary-reflected waves, we performed ultrasonic experiments using aluminum and shale samples, and the rotating staggered-mesh finite-difference method to simulate the wavefield. We analyzed the wavefield characteristics at the different receiving points and the interference characteristics of the boundary-reflected waves with the ultrasonic coda wave, and the effect of sample geometry on the ultrasonic coda waves. The increase in the aspect ratio of the samples delays the interference effect of the laterally reflected waves and reduces the effect on the ultrasonic coda waves. The main waves interfering with the ultrasonic coda waves are laterally reflected PP-, PS-, PPP-, and PPS-waves. The scattering and attenuation of the high-frequency energy in actual rocks can weaken the interference of laterally reflected waves with the ultrasonic coda waves.
基金supported in part by a grant from the Research Grants Council of the Hong Kong Special Administrative Region,China (Project No.CityU 102204).
文摘In this paper,we study the electromagnetic scattering from a two dimen- sional large rectangular open cavity embedded in an infinite ground plane,which is modelled by Helmholtz equations.By introducing nonlocal transparent boundary con- ditions,the problem in the open cavity is reduced to a bounded domain problem.A hypersingular integral operator and a weakly singular integral operator are involved in the TM and TE cases,respectively.A new second-order Toeplitz type approximation and a second-order finite difference scheme are proposed for approximating the hyper- singular integral operator on the aperture and the Helmholtz in the cavity,respectively. The existence and uniqueness of the numerical solution in the TE case are established for arbitrary wavenumbers.A fast algorithm for the second-order approximation is pro- posed for solving the cavity model with layered media.Numerical results show the second-order accuracy and efficiency of the fast algorithm.More important is that the algorithm is easy to implement as a preconditioner for cavity models with more general media.
基金NASI (National Academy of Sciences, India) for providing financial support
文摘Two problems of scattering of surface water waves involving a semi-infinite elastic plate and a pair of semi-infinite elastic plates,separated by a gap of finite width,floating horizontally on water of finite depth,are investigated in the present work for a two-dimensional time-harmonic case.Within the frame of linear water wave theory,the solutions of the two boundary value problems under consideration have been represented in the forms of eigenfunction expansions.Approximate values of the reflection and transmission coefficients are obtained by solving an over-determined system of linear algebraic equations in each problem.In both the problems,the method of least squares as well as the singular value decomposition have been employed and tables of numerical values of the reflection and transmission coefficients are presented for specific choices of the parameters for modelling the elastic plates.Our main aim is to check the energy balance relation in each problem which plays a very important role in the present approach of solutions of mixed boundary value problems involving Laplace equations.The main advantage of the present approach of solutions is that the results for the values of reflection and transmission coefficients obtained by using both the methods are found to satisfy the energy-balance relations associated with the respective scattering problems under consideration.The absolute values of the reflection and transmission coefficients are presented graphically against different values of the wave numbers.
文摘Based on the impedance/admittance rough boundaries, the reflection coefficients and the scattering cross section with low grazing angle incidence are obtained for both VV and HH polarizations. The error of the classical perturbation method at grazing angle is overcome for the vertical polarization at a rough Neumann boundary of infinite extent. The derivation of the formulae and the numerical results show that the backscattering cross section depends on the grazing angle to the fourth power for both Neumann and Dirichlet boundary conditions with low grazing angle incidence. Our results can reduce to that of the classical small perturbation method by neglecting the Neumann and Dirichlet boundary conditions.
