二维目标声波成像的变分方法

冯文杰; 邹振祝

二维目标声波成像的变分方法

石家庄铁道学院, 力学与工程科学系, 石家庄, 050043

基金项目: 国家自然科学基金资助项目(19772029);河北省博士基金资助项目(B2001213)

详细信息

作者简介:
冯文杰(1967- ),男,河北泊头人,教授,博士(E-mail:fengwj@sjzri.edu.cn).

中图分类号: O354
计量
- 文章访问数: 2440
- HTML全文浏览量: 105
- PDF下载量: 564
- 被引次数: 0
出版历程
- 收稿日期: 2001-03-03
- 修回日期: 2003-02-19
- 刊出日期: 2003-06-15

A Variation Method for Acoustic Wave Imaging of Two Dimensional Targets

Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute, Shijiazhuang 050043, P. R. China

摘要

摘要: 研究二维目标声波成像的新方法.首先根据Green函数理论导出一个关于波数扰动函数和波场的积分方程组;然后通过对该方程组求变分,寻求波数扰动函数微小变化和散射场微小变化之间的关系,得到反演方程;最后对几个典型目标进行模拟识别,考察了方法的收敛速度、收敛精度、抗噪性能及对复杂目标的适应能力.识别结果表明,本文方法对定量无损检测技术具有理论和应用价值.
- 声波 /
- 缺陷识别 /
- 扰动函数 /
- 变分 /
- 复杂目标 /
- 定量无损评估
Abstract: A new way of acoustic wave imaging was investigated. By using the Green function theory a system of integral equations, which linked wave number perturbation function with wave field, was firstly deduced. By taking variation on these integral equations an inversion equation, which reflected the relation between the little variation of wave number perturbation function and that of scattering field, was further obtained. Finally, the perturbation functions of some identical targets were reconstructed, and some properties of the novel method including converging speed, inversion accuracy and the abilities to resist random noise and identify complex targets were discussed. Results of numerical simulation show that the method based on the variation principle has great theoretical and applicable value to quantitative nondestructive evaluation.
- acoustic wave /
- flaw identification /
- perturbation function /
- variation /
- complex target /
- quantitative nondestructive evaluation

HTML全文

参考文献(8)

[1]	Moghaddam M.Nonlinear two dimensional velocity profile inversion using time domain data[J].IEEE Trans Geosci Remote Sens,1992,30(1):197-156.
[2]	Lin H T.Microwave imaging for a dielectric cylinder[J].IEEE Trans Micro Theory Tech,1994,42(8):1572-1579.
[3]	Tobocman W.Application of wavelet analysis to inverse scattering:Ⅱ[J].Inverse Problem,1996,12(4):499-516.
[4]	Scotti T.Shape reconstruction of impenetrable scattering body via the Rayleigh hypothesis[J].Inverse Problem,1996,12(6):1027-1055.
[5]	Kress R.Integral equation methods in inverse obstacle scattering[J].Engineering Analysis With Boundary Elements,1995,15(2):171-179.
[6]	Safaeinili A,Roberts R A.Support minimizd inversion of incomplete acoustic scattering data[J].J Acoust Soc Am,1995,97(1):414-424.
[7]	Rose J H.Elastic wave inverse scattering in nondestructive evaluation[J].Pure Appl Geophys,1989,131(4):715-739.
[8]	冯文杰,马兴瑞,邹振祝.缺陷识别中的逆Born近似方法[J].振动工程学报,1994,7(2):161-171.