Efficient Spectral Methods for Transmission Eigenvalues and Estimation of the Index of Refraction
Efficient Spectral Methods for Transmission Eigenvalues and Estimation of the Index of Refraction
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DOI：
10.4208/jms.v47n1.14.01
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发表时间：
2014
影响因子：
--
通讯作者：
Jing An;Jie Shen
中科院分区：
文献类型：
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作者：
Jing An;Jie Shen
估计电磁散射问题的折射率的一个重要步骤是计算相关的传输特征值问题。我们在本文中开发了高效且准确的光谱方法来计算与电磁散射问题相关的传输特征值。我们提供了大量的数值结果来表明我们的方法对于计算传输特征值（特别是计算最小特征值）非常有效，并且与线性采样方法一起提供了一种有效的方法来估计非吸收非均匀介质的折射率。 AMS 科目分类：78A45、65N35、35J05、41A58
An important step in estimating the index of refraction of electromagnetic scattering problems is to compute the associated transmission eigenvalue problem. We develop in this paper efficient and accurate spectral methods for computing the transmission eigenvalues associated to the electromagnetic scattering problems. We present ample numerical results to show that our methods are very effective for com- puting transmission eigenvalues (particularly for computing the smallest eigenvalue), and together with the linear sampling method, provide an efficient way to estimate the index of refraction of a non-absorbing inhomogeneous medium. AMS subject classifications: 78A45, 65N35, 35J05, 41A58