Dans cet article, on s’intéresse à la propriété de superlensing des méta-matériaux, c’est-à-dire à la possibilité d’imager un objet arbitraire, sans condition sur le rapport entre sa taille et la longueur d’onde de la lumière incidente. Nous proposons et analysons deux types de dispositifs constitués de méta-matériaux hyperboliques, qui possèdent cette propriété. L’étude de tels milieux est délicate, car les EDP qui les modélisent changent de type : elles sont elliptiques dans certaines régions de l’espace et hyperboliques dans les autres.
This paper is devoted to superlensing using hyperbolic metamaterials: the possibility to image an arbitrary object using hyperbolic metamaterials without imposing any conditions on the size of the object and the wave length. To this end, two types of schemes are suggested and their analysis are given. The superlensing devices proposed are independent of the object. It is worth noting that the study of hyperbolic metamaterials is challenging due to the change of type of the modeling equations, elliptic in some regions, hyperbolic in some others.
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@article{JEP_2017__4__973_0,
author = {Eric Bonnetier and Hoai-Minh Nguyen},
title = {Superlensing using hyperbolic metamaterials: the scalar case},
journal = {Journal de l{\textquoteright}\'Ecole polytechnique {\textemdash} Math\'ematiques},
pages = {973--1003},
publisher = {\'Ecole polytechnique},
volume = {4},
year = {2017},
doi = {10.5802/jep.61},
mrnumber = {3714368},
language = {en},
url = {https://jep.centre-mersenne.org/articles/10.5802/jep.61/}
}
TY - JOUR AU - Eric Bonnetier AU - Hoai-Minh Nguyen TI - Superlensing using hyperbolic metamaterials: the scalar case JO - Journal de l’École polytechnique — Mathématiques PY - 2017 SP - 973 EP - 1003 VL - 4 PB - École polytechnique UR - https://jep.centre-mersenne.org/articles/10.5802/jep.61/ DO - 10.5802/jep.61 LA - en ID - JEP_2017__4__973_0 ER -
%0 Journal Article %A Eric Bonnetier %A Hoai-Minh Nguyen %T Superlensing using hyperbolic metamaterials: the scalar case %J Journal de l’École polytechnique — Mathématiques %D 2017 %P 973-1003 %V 4 %I École polytechnique %U https://jep.centre-mersenne.org/articles/10.5802/jep.61/ %R 10.5802/jep.61 %G en %F JEP_2017__4__973_0
Eric Bonnetier; Hoai-Minh Nguyen. Superlensing using hyperbolic metamaterials: the scalar case. Journal de l’École polytechnique — Mathématiques, Tome 4 (2017), pp. 973-1003. doi : 10.5802/jep.61. https://jep.centre-mersenne.org/articles/10.5802/jep.61/
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