Reconstruction of a crack with the incident waves and measurements inside a penetrable cavity
Reconstruction of a crack with the incident waves and measurements inside a penetrable cavity
复制标题
用入射波重建裂缝并在可穿透空腔内进行测量
DOI：
10.1515/jiip-2018-0023
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发表时间：
2019-10
影响因子：
1.1
通讯作者：
Guo Zhongkai
中科院分区：
文献类型：
--
作者：
Guo Jun;Yang Qing;Cai Mingjian;Yan Guozheng;Guo Zhongkai
考虑了由测量值和置于空腔内闭合曲线Λ上的点源确定已知可穿透空腔外裂纹的逆散射问题。利用因子分解法对混合型边界条件下的裂纹进行了重构。为此，我们需要克服两个关键困难。其中之一是找到两个数据到数据算子之间的关系，这两个算子分别在出射辐射条件和入射辐射条件下将裂纹上的边界数据映射到闭合曲线Λ上的散射场值。另外，由于混合型边界条件的存在，很难用通常的方法对近场算子进行分解。借助于辅助算子，我们可以得到符合因式分解方法理论框架的分解形式。
The inverse scattering problem of determining a crack outside a known penetrable cavity from the measurements and point sources placed in a closed curve Λ inside the cavity is considered. The factorization method is used to reconstruct the crack on which the mixed-type boundary conditions are posed. To this end, we need to overcome two key difficulties. One of them is to find the relationship between the two data-to-data operators, which map the boundary data on the crack to the values of scattered fields on the closed curve Λ with outgoing radiation condition and incoming radiation condition, respectively. In addition, it is hard to decompose the near field operator in the usual way owing to the mixed-type boundary conditions. By the aid of an auxiliary operator, we can obtain the desired decomposition form in accordance with the theoretical framework of the factorization method.
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影响因子：
2.4
作者：
Yan, Guozheng;Yao, Mao
通讯作者：
Yao, Mao
逆内散射问题中形状重建的非线性积分方程
影响因子：
2.1
作者：
Qin, Hai-Hua;Cakoni, Fioralba
通讯作者：
Cakoni, Fioralba
影响因子：
2.1
作者：
Hu Guanghui;Yang Jiaqing;Zhang Bo;Zhang Haiwen
通讯作者：
Zhang Haiwen
影响因子：
1.3
作者：
F. Qu;Jiaqing Yang
通讯作者：
F. Qu;Jiaqing Yang
影响因子：
1.1
作者：
Yuqing Hu;F. Cakoni;Jijun Liu
通讯作者：
Yuqing Hu;F. Cakoni;Jijun Liu