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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.
Nguyen, Hoai-Minh 1
@article{COCV_2019__25__A29_0,
author = {Nguyen, Hoai-Minh},
title = {Cloaking using complementary media for electromagnetic waves},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
publisher = {EDP-Sciences},
volume = {25},
year = {2019},
doi = {10.1051/cocv/2017078},
zbl = {1437.35649},
mrnumber = {3990650},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2017078/}
}
TY - JOUR AU - Nguyen, Hoai-Minh TI - Cloaking using complementary media for electromagnetic waves JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2019 VL - 25 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv/2017078/ DO - 10.1051/cocv/2017078 LA - en ID - COCV_2019__25__A29_0 ER -
%0 Journal Article %A Nguyen, Hoai-Minh %T Cloaking using complementary media for electromagnetic waves %J ESAIM: Control, Optimisation and Calculus of Variations %D 2019 %V 25 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv/2017078/ %R 10.1051/cocv/2017078 %G en %F COCV_2019__25__A29_0
Nguyen, Hoai-Minh. Cloaking using complementary media for electromagnetic waves. ESAIM: Control, Optimisation and Calculus of Variations, Tome 25 (2019), article no. 29. doi : 10.1051/cocv/2017078. http://geodesic.mathdoc.fr/articles/10.1051/cocv/2017078/
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