| 摘要: |
| 本文研究了一类重要的反问题–逆散射问题，它是从远场散射数据识别散射体中的障碍物的形状问题.利用迭代正则化Gauss-Newton法，通过数值模拟比较分析，验证了本文所提出的方法在求解逆散射问题时是可行有效的. |
| 关键词: 逆散射 噪声 正则化 Gauss-Newton法 数值解 |
| DOI： |
| 分类号:O175.5 |
| 基金项目:国家自然科学基金（51679186）；青年科学基金（11601418）. |
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| A REGULARIZED GAUSS-NEWTON METHOD FOR SOLVING INVERSE SCATTERING PROBLEM |
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MIN Tao, TONG Yun-li
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Department of Applied Mathematics, Xi'an University of Technology, Xi'an 710054, China
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| Abstract: |
| In this paper, an important inverse problem-inverse scattering problem, is studied. It is a problem of identifying the shape of an obstacle in a scatterer from far-field scattering data. Here, we consider the problem using the Iteratively Regularized Gauss-Newton method. Through the numerical simulation, it is proved that the proposed method is feasible and effective in solving the inverse scattering problem. |
| Key words: inverse scattering noise regularization Gauss-Newton method numerical solution |
