OSA's Digital Library

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)
http://dx.doi.org/10.1364/OE.21.006578


View Full Text Article

Enhanced HTML    Acrobat PDF (1754 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

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:
Metamaterials

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

Citation
Sébastien Guenneau and Claude Amra, "Anisotropic conductivity rotates heat fluxes in transient regimes," Opt. Express 21, 6578-6583 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-5-6578


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. B. Pendry, D. Shurig, and D. R. Smith, “Controlling Electromagnetic Fields,” Science312, 1780–1782 (2006). [CrossRef] [PubMed]
  2. D. Van Dantzig, “Electromagnetism, independent of metrical geometry,” Proc. Kon. Ned. Akad. v. Wet.37, 521–531 (1934).
  3. U. Leonhardt, “Optical Conformal Mapping,” Science312, 1777–1780 (2006). [CrossRef] [PubMed]
  4. A. Alu and N. Engheta, “Achieving transparency with plasmonic and metamaterial coatings,” Phys. Rev. E95, 016623 (2005). [CrossRef]
  5. G. Milton and N. A. P. Nicorovici, “On the cloaking effects associated with anomalous localised resonance,” Proc. R. Soc. London Ser. A462, 3027–3059 (2006). [CrossRef]
  6. N. A. P. Nicorovici, G. W. Milton, R. C. McPhedran, and L. C. Botten, “Quasistatic cloaking of two-dimensional polarizable discrete systems by anomalous resonance,” Opt. Express15, 6314–6323 (2007). [CrossRef] [PubMed]
  7. S. Guenneau, C. Amra, and D. Veynante, “Transformation thermodynamics: cloaking and concentrating heat flux, Opt. Express20, 8207–8218 (2012). [CrossRef] [PubMed]
  8. H. S. Carslaw and J. C. Jaeger, Conduction of heat in solids (Oxford University Press, 1959).
  9. H. Chen and C. T. Chan, “Transformation media that rotate electromagnetic fields,” Appl. Phys. Lett.90, 241105 (2007). [CrossRef]
  10. H. Chen, B. Hou, S. Chen, X. Ao, W. Wen, and C. T. Chan, “Design and Experimental Realization of a Broadband Transformation Media Field Rotator at Microwave Frequencies,” Phys. Rev. Lett.102(18), 183903 (2009). [CrossRef] [PubMed]
  11. A. Greenleaf, M. Lassas, and G. Uhlmann, “Anisotropic conductivities that cannot be detected by EIT,” Physiol. Meas.24, 413–419 (2003). [CrossRef] [PubMed]
  12. C.Z. Fan, Y. Gao, and J. P. Huang, “Shaped graded materials with an apparent negative thermal conductivity,” Appl. Phys. Lett.92, 251907 (2008). [CrossRef]
  13. S. Narayana and Y. Sato, “Heat flux manipulation with engineered thermal materials,” Phys. Rev. Lett.108, 214303 (2012). [CrossRef] [PubMed]
  14. R. Schittny, M. Kadic, S. Guenneau, and M. Wegener, “Experiments on transformation thermodynamics: Molding the flow of heat,” arXiv:1210.2810

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited