Inverse heat mimicking of given objects

Ahmed Alwakil (1) , Myriam Zerrad (1) , Michel Bellieud (2, 3) , Claude Amra (1)

1 CONCEPT - CONCEPT
2 LMGC - Laboratoire de Mécanique et Génie Civil
3 M3 - Mathématiques et Modélisations en Mécanique

We address a general inverse mimicking problem in heat conduction. The objects to cloak and mimic are chosen beforehand; these objects identify a specific set of space transformations. The shapes that can be mimicked are derived from the conductivity matrices. Numerical calculation confirms all of the analytical predictions. The technique provides key advantages for applications and can be extended to the field of waves.

Domaines: Optique / photonique; Electromagnétisme; Optique [physics.optics]; Thermique [physics.class-ph]

Ahmed Alwakil, Myriam Zerrad, Michel Bellieud, Claude Amra. Inverse heat mimicking of given objects. Scientific Reports, 2017, 7, pp.43288. ⟨10.1038/srep43288⟩. ⟨hal-01524067⟩