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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 |
MIN Tao,TONG Yun-li
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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 |