Geometrical transformations and equivalent materials in computational electromagnetism

André Nicolet (1) , Frédéric Zolla (1) , Yacoub Ould Agha (1) , Sébastien Guenneau (1)

1 FRESNEL - Institut FRESNEL

This paper aims to review various techniques used in computational electromagnetismsuch as the treatment of open problems, helicoidal geometries and the design of arbitrarily shaped invisibility cloaks. This seemingly heterogeneous list is unified by the concept of geometrical transformation that leads to equivalent materials. The practical set-up is conveniently effected via the finite element method.

Mots clés: Computational electromagnetism; Helicoidal geometry; Photonic Crystal Fibre; Metamaterial; Invisibility cloaking

Domaines: Optique [physics.optics]

André Nicolet, Frédéric Zolla, Yacoub Ould Agha, Sébastien Guenneau. Geometrical transformations and equivalent materials in computational electromagnetism. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2008, 27, pp.806-819. ⟨10.1108/03321640810878216⟩. ⟨hal-00439086⟩