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arXiv 1003.3068math.AP
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理想导体平板上双周期非均匀层的电磁散射逆问题

An inverse electromagnetic scattering problem for a bi-periodic inhomogeneous layer on a perfectly conducting plate

Guanghui Hu, Jiaqing Yang, Bo Zhang

摘要:

研究了复盖在理想导体平板上的周期非均匀介质重构问题的唯一性。我们在没有TE或TM偏振的时谐Maxwell系统的框架下处理这个问题。首先得到了两个折射率的正交关系,然后受Kirsch思想的启发,利用准周期Sturm-Liouville本征值问题的本征值和本征函数来识别折射率.

英文摘要:

This paper is concerned with uniqueness for reconstructing a periodic inhomogeneous medium covered on a perfectly conducting plate. We deal with the problem in the frame of time-harmonic Maxwell systems without TE or TM polarization. An orthogonal relation for two refractive indices is obtained, and then inspired by Kirsch's idea, the refractive index can be identified by utilizing the eigenvalues and eigenfunctions of a quasi-periodic Sturm-Liouville eigenvalue problem.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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