Volume 25, 2019
|Number of page(s)||19|
|Published online||09 August 2019|
Cloaking using complementary media for electromagnetic waves
EPFL SB MATHAA CAMA,
* Corresponding author: firstname.lastname@example.org
Accepted: 3 December 2017
Negative index materials are artificial structures whose refractive index has negative value over some frequency range. The study of these materials has attracted a lot of attention in the scientific community not only because of their many potential interesting applications but also because of challenges in understanding their intriguing properties due to the sign-changing coefficients in equations describing their properties. In this paper, we establish cloaking using complementary media for electromagnetic waves. This confirms and extends the suggestions of Lai et al. [Phys. Rev. Lett. 102 (2009) 093901] for the full Maxwell equations. The analysis is based on the reflecting and removing localized singularity techniques, three-sphere inequalities, and the fact that the Maxwell equations can be reduced to a weakly coupled second order elliptic equations.
Mathematics Subject Classification: 35B34 / 35B35 / 35B40 / 35J05 / 78A25
Key words: Negative index materials / cloaking / complementary media / localized resonance / electromagnetic waves
© EDP Sciences, SMAI 2019
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