Analogies between optical propagation and heat diffusion: Applications to microcavities, gratings and cloaks

C. Amra, D. Petiteau, M. Zerrad, S. Guenneau, G. Soriano, B. Gralak, M. Bellieud, D. Veynante, N. Rolland

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

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.

Original languageEnglish
Article number20150143
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume471
Issue number2183
DOIs
StatePublished - 8 Nov 2015
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2015 The Author(s) Published by the Royal Society. All rights reserved.

Keywords

  • Admittance formalism
  • Cloaks
  • Diffraction gratings
  • Heat diffusion
  • Microcavities
  • Optical propagation

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