Revolution analysis of three-dimensional arbitrary cloaks

Guillaume Dupont (1) , Sébastien Guenneau (1) , Stefan Enoch (1) , Guillaume Demésy (1) , André Nicolet (1) , Frédéric Zolla (1) , André Diatta (2)

1 FRESNEL - Institut FRESNEL
2 Department of Mathematical Sciences [Liverpool]

We extend the design of radially symmetric three-dimensional invisibility cloaks through transformation optics to cloaks with a surface of revolution. We derive the expression of the transformation matrix and show that one of its eigenvalues vanishes on the inner boundary of the cloaks, while the other two remain strictly positive and bounded. The validity of our approach is confirmed by finite edge-elements computations for a non-convex cloak of varying thickness.

Mots clés: Mathematical methods in physics; Electromagnetic theory; Metamaterials; Anisotropic optical materials; invisibility; cloaking; invisibilité; métamatériel; cloak

Mots clés: invivibilité; optique de transformation; éléments finis; diffraction électromagnétique

Domaines: Optique [physics.optics]

Guillaume Dupont, Sébastien Guenneau, Stefan Enoch, Guillaume Demésy, André Nicolet, et al.. Revolution analysis of three-dimensional arbitrary cloaks. 2009. ⟨hal-00431845⟩