| 由近场谱数据确定阻抗散射体的形状 |
| |
| 引用本文： | 潘文峰,李卓球,吴传生,朱华平.由近场谱数据确定阻抗散射体的形状[J].计算数学,2005,27(2):175-182. |
| |
| 作者姓名： | 潘文峰 李卓球 吴传生 朱华平 |
| |
| 作者单位： | 武汉理工大学理学院,武汉,430070 |
| |
| 基金项目： | 武汉理工大学理学院基金资助,国家自然科学基金重点资助项目(50238040)． |
| |
| 摘 要： | 本文考虑由点源波入射，在获取近场散射数据时具有阻抗边界的散射体的重构问题．区别于N．Grinberg利用Herglotz波函数和单层势的途径，我们利用混合互易关系，得到了远场和近场算子的关系，由该关系和奇异值分解，得到了算子的谱，从而将散射体特征化．数值实验表明，能得到良好的重构．
|
| 关 键 词： | 散射体 阻抗 谱数据 形状 奇异值分解 近场散射 数值实验 波函数 特征化 重构 算子 |
SPECTRAL DATA OF THE NEAR FIELD FOR LOCATING THE SHAPE OF SCATTERER WITH IMPEDANCE BOUNDARY CONDITION |
| |
| Pang Wengfeng,Li Zhuoqiu,Wu Chuansheng,ZHU Huaping.SPECTRAL DATA OF THE NEAR FIELD FOR LOCATING THE SHAPE OF SCATTERER WITH IMPEDANCE BOUNDARY CONDITION[J].Mathematica Numerica Sinica,2005,27(2):175-182. |
| |
| Authors: | Pang Wengfeng Li Zhuoqiu Wu Chuansheng ZHU Huaping |
| |
| Institution: | Pang Wengfeng Li Zhuoqiu Wu Chuansheng Zhu Huaping School of Science, Wuhan University of Technology, Wuhan 430070, China |
| |
| Abstract: | The paper deals with the reconstruction of the shape of scatterer with impedance boundary considering point source wave incidence and near-field data. It is different from the approach of N.Grinberg and A.Kirsch with Herglotz wave function and single layer potential. We employ mixed reciprocity relation and obtain the relation between near-field and far-field operator. Then, from the singular system of the operator, we obtain its spectral data and characterize the scattering object. Numerical experiments show that it can generate good reconstruction. |
| |
| Keywords: | spectral data impedance boundary inverse scattering mixed reciprocity principle |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《计算数学》浏览原始摘要信息 |
| 点击此处可从《计算数学》下载免费的PDF全文 |
