| 解洞穴逆散射问题的一种正则化Newton方法 |
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| 引用本文： | 冯立新,马富明.解洞穴逆散射问题的一种正则化Newton方法[J].东北数学,2007,23(6). |
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| 作者姓名： | 冯立新 马富明 |
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| 摘 要： |
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A Regularized Newton Method in Inverse Scattering Problem from Cavities |
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| FENG Li-xin,MA Fu-ming.A Regularized Newton Method in Inverse Scattering Problem from Cavities[J].Northeastern Mathematical Journal,2007,23(6). |
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| Authors: | FENG Li-xin MA Fu-ming |
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| Abstract: | We consider the inverse problem to determine the shape of a open cavity embedded in the infinite ground plane from knowledge of the far-field pattern of the scattering of TM polarization.For its approximate solution we propose a regularized Newton iteration scheme.For a foundation of Newton type methods we establish the Fréchet differentiability of solution to the scattering problem with respect to the boundary of the cavity.Some numerical examples of the feasibility of the method are presented. |
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| Keywords: | inverse scattering problem regularization Newton method |
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