title: Analogies between optical propagation and heat diffusion: applications to microcavities, gratings and cloaks.
abstract: A new analogy between optical propagation and heat diffusion in heterogeneous anisotropic media has been proposed recently by three of the present authors. A detailed derivation of this unconventional correspondence is presented and developed. In time harmonic regime, all thermal parameters are related to optical ones in artificial metallic media, thus making possible to use numerical codes developed for optics. Then, the optical admittance formalism is extended to heat conduction in multilayered structures. The concepts of planar microcavities, diffraction gratings and planar transformation optics for heat conduction are addressed. Results and limitations of the analogy are emphasized.
authors.affiliation: Aix Marseille Université, Institut Fresnel, CNRS, Ecole Centrale Marseille, Faculté des Sciences et Techniques de St Jérôme , 13397 Marseille Cedex 20, France.
authors.forename: C
authors.initials: C
authors.lastname: Amra
authors.affiliation: Aix Marseille Université, Institut Fresnel, CNRS, Ecole Centrale Marseille, Faculté des Sciences et Techniques de St Jérôme , 13397 Marseille Cedex 20, France.
authors.forename: D
authors.initials: D
authors.lastname: Petiteau
authors.affiliation: Aix Marseille Université, Institut Fresnel, CNRS, Ecole Centrale Marseille, Faculté des Sciences et Techniques de St Jérôme , 13397 Marseille Cedex 20, France.
authors.forename: M
authors.initials: M
authors.lastname: Zerrad
authors.affiliation: Aix Marseille Université, Institut Fresnel, CNRS, Ecole Centrale Marseille, Faculté des Sciences et Techniques de St Jérôme , 13397 Marseille Cedex 20, France.
authors.forename: S
authors.initials: S
authors.lastname: Guenneau
authors.affiliation: Aix Marseille Université, Institut Fresnel, CNRS, Ecole Centrale Marseille, Faculté des Sciences et Techniques de St Jérôme , 13397 Marseille Cedex 20, France.
authors.forename: G
authors.initials: G
authors.lastname: Soriano
authors.affiliation: Aix Marseille Université, Institut Fresnel, CNRS, Ecole Centrale Marseille, Faculté des Sciences et Techniques de St Jérôme , 13397 Marseille Cedex 20, France.
authors.forename: B
authors.initials: B
authors.lastname: Gralak
authors.affiliation: Université Montpellier 2, CNRS, LMGC , Montpellier, France.
authors.forename: M
authors.initials: M
authors.lastname: Bellieud
authors.affiliation: Ecole Centrale Paris , CNRS, EM2C, Paris, France.
authors.forename: D
authors.initials: D
authors.lastname: Veynante
authors.affiliation: Université de Lille 1 , CNRS, IEMN, Lille, France.
authors.forename: N
authors.initials: N
authors.lastname: Rolland
keywords: admittance formalism; cloaks; diffraction gratings; heat diffusion; microcavities; optical propagation