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Eric Bonnetier; Hoai-Minh Nguyen
Superlensing using hyperbolic metamaterials: the scalar case
(Propriété de superlensing de dispositifs constitués de méta-matériaux hyperboliques : le cas scalaire)
Journal de l'École polytechnique — Mathématiques, 4 (2017), p. 973-1003, doi: 10.5802/jep.61
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Class. Math.: 35B30, 35B40, 35J05, 35J70, 35M10, 35L53, 78A25
Keywords: Negative index materials, hyperbolic meta-materials, superlensing, degenerate elliptic equations

Résumé - Abstract

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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