Analogies between optical propagation and heat diffusion: applications to microcavities, gratings and cloaks
Résumé
A new analogy between optical propagation and heat diffusion in heterogeneous anisotropic media has been
proposed recently [S. Guenneau, C. Amra, and D. Veynante, Optics Express Vol. 20, 8207-8218 (2012)]. 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 micro-cavities, diffraction gratings, and planar transformation optics for heat
conduction are addressed. Results and limitations of the analogy are emphasized.
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