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Design of square-shaped heat flux cloaks and concentrators using method of coordinate transformation

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Abstract

A square-shaped heat flux cloak and a square-shaped heat flux concentrator have been designed theoretically according to the invariance symmetry of steady state thermal conductive equation. The direction of heat flux in these devices can be modulated as desired. Using the method of coordinate transformation, the inhomogeneous and anisotropic thermal conductivity in the transformation region have been acquired. Two-dimensional finite element simulations were performed to confirm the theoretical results.

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References

  1. J. B. Pendry, D. Schurig, and D. R. Smith, Science, 2006, 312: 1780

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. D. Schurig, J. B. Pendry, and D. R. Smith, Opt. Express, 2006, 14: 9794

    Article  ADS  Google Scholar 

  3. S. A. Cummer, B. I. Popa, D. Schurig, D. R. Smith, and J. B. Pendry, Phys. Rev. E, 2006, 74: 036621

    Article  ADS  Google Scholar 

  4. D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science, 2006, 314: 977

    Article  ADS  Google Scholar 

  5. J. J. Yang, M. Huang, C. F. Yang, Z. Xiao, and J. H. Peng, Opt. Express, 2009, 17: 19656

    Article  ADS  Google Scholar 

  6. H. Y. Chen and C. T. Chan, Appl. Phy. Lett., 2007, 90: 241105

    Article  ADS  Google Scholar 

  7. M. Rahm, S. A. Cummer, D. Schurig, J. B. Pendry, and D. R. Smith, Phy. Rev. Lett., 2008, 100: 063903

    Article  ADS  Google Scholar 

  8. G. W. Milton, M. Briane, and J. R. Willis, New J. Phys., 2006, 8: 248

    Article  ADS  Google Scholar 

  9. Y. Cheng and X. J. Liu, Appl. Phys. A, 2009, 94: 25

    Article  ADS  Google Scholar 

  10. H. Y. Chen and C. T. Chan, Appl. Phy. Lett., 2007, 91: 183518

    Article  ADS  Google Scholar 

  11. S. Zhang, D. A. Genov, C. Sun, and X. Zhang, Phys. Rev. Lett., 2008, 100: 123002

    Article  ADS  Google Scholar 

  12. A. Greenleaf, M. Lassas, and G. Uhlmann, Physiol. Meas., 2003, 24: 413

    Article  Google Scholar 

  13. C. Z. Fan, Y. Gao, and J. P. Huang, Appl. Phys. Lett., 2008, 92: 251907

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. College of Science, Nanjing Forestry University, Nanjing, 210037, China

    Guan-xia Yu  (余观夏), Yang-fan Lin  (林扬帆), Gui-qing Zhang  (张贵清), Zi Yu  (喻 孜), Li-li Yu  (于莉莉) & Jun Su  (苏 峻)

Authors
  1. Guan-xia Yu  (余观夏)
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  2. Yang-fan Lin  (林扬帆)
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  3. Gui-qing Zhang  (张贵清)
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  4. Zi Yu  (喻 孜)
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  5. Li-li Yu  (于莉莉)
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  6. Jun Su  (苏 峻)
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Correspondence to Guan-xia Yu  (余观夏).

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Yu, Gx., Lin, Yf., Zhang, Gq. et al. Design of square-shaped heat flux cloaks and concentrators using method of coordinate transformation. Front. Phys. China 6, 70–73 (2011). https://doi.org/10.1007/s11467-010-0142-3

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  • DOI: https://doi.org/10.1007/s11467-010-0142-3

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