The enclosure method for the anisotropic maxwell system

Rulin Kuan, Yi Hsuan Lin, Mourad Sini

研究成果: Article同行評審

6 引文 斯高帕斯(Scopus)

摘要

We develop an enclosure-type reconstruction scheme to identify penetrable and impenetrable obstacles in an electromagnetic field with anisotropic medium in ℝ3. The main difficulty in treating this problem lies in the fact that there are so far no complex geometrical optics solutions available for Maxwell's equation with anisotropic medium in ℝ3. Instead, we derive and use another type of special solutions called oscillating-decaying solutions. To justify this scheme, we use Meyers- Lp estimate, for the Maxwell system, to compare the integrals coming from oscillating-decaying solutions and those from the reflected solutions.

原文English
頁(從 - 到)3488-3527
頁數40
期刊SIAM Journal on Mathematical Analysis
47
發行號5
DOIs
出版狀態Published - 2015

All Science Journal Classification (ASJC) codes

  • 分析
  • 計算數學
  • 應用數學

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