The enclosure method for the anisotropic maxwell system

Ru-Lin Kuan, Yi Hsuan Lin, Mourad Sini

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)3488-3527
Number of pages40
JournalSIAM Journal on Mathematical Analysis
Volume47
Issue number5
DOIs
Publication statusPublished - 2015 Jan 1

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Oscillating Solutions
Maxwell System
Anisotropic Media
Enclosure
Enclosures
Lp Estimates
Geometrical Optics
Anisotropic media
Maxwell's equations
Justify
Electromagnetic Fields
Geometrical optics
Maxwell equations
Electromagnetic fields

All Science Journal Classification (ASJC) codes

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this

Kuan, Ru-Lin ; Lin, Yi Hsuan ; Sini, Mourad. / The enclosure method for the anisotropic maxwell system. In: SIAM Journal on Mathematical Analysis. 2015 ; Vol. 47, No. 5. pp. 3488-3527.
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The enclosure method for the anisotropic maxwell system. / Kuan, Ru-Lin; Lin, Yi Hsuan; Sini, Mourad.

In: SIAM Journal on Mathematical Analysis, Vol. 47, No. 5, 01.01.2015, p. 3488-3527.

Research output: Contribution to journalArticle

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