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首页> 外文期刊>Journal of Computational Physics >Topological derivative strategy for one-step iteration imaging of arbitrary shaped thin, curve-like electromagnetic inclusions
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Topological derivative strategy for one-step iteration imaging of arbitrary shaped thin, curve-like electromagnetic inclusions

机译:任意形状的细曲线状电磁夹杂物的一步迭代成像的拓扑导数策略

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摘要

In this manuscript, a fast imaging of thin, curve-like electromagnetic inclusions completely hidden in the homogeneous domain with smooth boundaries is considered. By creating an electromagnetic inclusion of a small diameter and applying the asymptotic expansion formula in the existence of such an inclusion, the topological derivative is successfully derived. Based on this derivative, a one-step iteration imaging algorithm is designed by solving an adjoint problem. Various numerical experiments of single and multiple inclusions demonstrate the viability and limitation of the designed algorithm.
机译:在此手稿中,考虑了对完全隐藏在具有光滑边界的均匀域中的细薄曲线状电磁夹杂物的快速成像。通过创建小直径的电磁夹杂物,并在存在这种夹杂物的情况下应用渐近展开式,可以成功导出拓扑导数。基于该导数,通过求解伴随问题设计了一种单步迭代成像算法。单个和多个夹杂物的各种数值实验证明了所设计算法的可行性和局限性。

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