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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 5 — Mar. 11, 2013
  • pp: 6578–6583

Anisotropic conductivity rotates heat fluxes in transient regimes

Sébastien Guenneau and Claude Amra  »View Author Affiliations

Optics Express, Vol. 21, Issue 5, pp. 6578-6583 (2013)

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We present a finite element analysis of a diffusion problem involving a coated cylinder enabling the rotation of heat fluxes. The coating consists of a heterogeneous anisotropic conductivity deduced from a geometric transformation in the time dependent heat equation. In contrast to thermal cloak and concentrator, specific heat and density are not affected by the transformation in the rotator. Therein, thermal flux diffuses from region of lower temperature to higher temperature, leading to an apparent negative conductivity analogous to what was observed in transformed thermostatics. When a conducting object lies inside the rotator, it appears as if rotated by certain angle to an external observer, what can be seen as a thermal illusion. A structured rotator is finally proposed inspired by earlier designs of thermostatic and microwave rotators.

© 2013 OSA

OCIS Codes
(000.6850) General : Thermodynamics
(350.6830) Other areas of optics : Thermal lensing
(160.3918) Materials : Metamaterials
(230.3205) Optical devices : Invisibility cloaks

ToC Category:

Original Manuscript: December 13, 2012
Manuscript Accepted: January 31, 2013
Published: March 8, 2013

Sébastien Guenneau and Claude Amra, "Anisotropic conductivity rotates heat fluxes in transient regimes," Opt. Express 21, 6578-6583 (2013)

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