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Nonlinear thermotics: nonlinearity enhancement and harmonic generation in thermal metasurfaces

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Abstract

We propose and investigate a class of structural surfaces (metasurfaces). We develop the perturbation theory and the effective medium theory to study the thermal properties of the metasurface. We report that the coefficient of temperature-dependent (nonlinear) item in thermal conductivity can be enhanced under certain conditions. Furthermore, the existence of nonlinear item helps to generate high-order harmonic frequencies of heat flux in the presence of a heat source with periodic temperature. This work paves a different way to control and manipulate the transfer of heat, and it also makes it possible to develop nonlinear thermotics in the light of nonlinear optics.

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References

  1. B. Li, L. Wang, G. Casati, Phys. Rev. Lett. 93, 184301 (2004)

    Article  ADS  Google Scholar 

  2. B. Li, L. Wang, G. Casati, Appl. Phys. Lett. 88, 143501 (2006)

    Article  ADS  Google Scholar 

  3. L. Wang, B. Li, Phys. Rev. Lett. 99, 177208 (2007)

    Article  ADS  Google Scholar 

  4. N. Li, J. Ren, L. Wang, G. Zhang, P. Hänggi, B. Li, Rev. Mod. Phys. 84, 1045 (2012)

    Article  ADS  Google Scholar 

  5. P. Ben-Abdallah, S.A. Biehs, Phys. Rev. Lett. 112, 044301 (2014)

    Article  ADS  Google Scholar 

  6. V. Kubytskyi, S.A. Biehs, P. Ben-Abdallah, Phys. Rev. Lett. 113, 074301 (2014)

    Article  ADS  Google Scholar 

  7. C.Z. Fan, Y. Gao, J.P. Huang, Appl. Phys. Lett. 92, 251907 (2008)

    Article  ADS  Google Scholar 

  8. T. Chen, C.N. Weng, J.S. Chen, Appl. Phys. Lett. 93, 114103 (2008)

    Article  ADS  Google Scholar 

  9. S. Narayana, Y. Sato, Phys. Rev. Lett. 108, 214303 (2012)

    Article  ADS  Google Scholar 

  10. R. Schittny, M. Kadic, S. Guenneau, M. Wegene, Phys. Rev. Lett. 110, 195901 (2013)

    Article  ADS  Google Scholar 

  11. H.Y. Xu, X.H. Shi, F. Gao, H.D. Sun, B.L. Zhang, Phys. Rev. Lett. 112, 054301 (2014)

    Article  ADS  Google Scholar 

  12. T.C. Han, X. Bai, D.L. Gao, J.T.L. Thong, B.W. Li, C.W. Qiu, Phys. Rev. Lett. 112, 054302 (2014)

    Article  ADS  Google Scholar 

  13. Y.G. Ma, Y.C. Liu, M. Raza, Y.D. Wang, S.L. He, Phys. Rev. Lett. 113, 205501 (2014)

    Article  ADS  Google Scholar 

  14. T.C. Han, X. Bai, J.T.L. Thong, B.W. Li, C.W. Qiu, Adv. Mater. 26, 1731 (2014)

    Article  Google Scholar 

  15. T.Z. Yang, X. Bai, D. Gao, L. Wu, B.W. Li, J.T.L. Thong, C.W. Qiu, Adv. Mater. 27, 7752 (2015)

    Article  Google Scholar 

  16. Y. Li, X.Y. Shen, Z.H. Wu, J.Y. Huang, Y.X. Chen, Y.S. Ni, J.P. Huang, Phys. Rev. Lett. 115, 195503 (2015)

    Article  ADS  Google Scholar 

  17. X.Y. Shen, Y. Li, C.R. Jiang, J.P. Huang, Phys. Rev. Lett. 117, 055501 (2016)

    Article  ADS  Google Scholar 

  18. S. Liu, X.F. Xu, R.G. Xie, G, Zhang, B.W. Li, Eur. Phys. J. B 85, 337 (2012)

    Article  ADS  Google Scholar 

  19. L.L. Yang, N.B. Li, B.W. Li, Phys. Rev. E 90, 062122 (2014)

    Article  ADS  Google Scholar 

  20. Y.Y. Li, N.B. Li, B.W. Li, Eur. Phys. J. B 88, 182 (2015)

    Article  ADS  Google Scholar 

  21. N. Yu, P. Genevet, M.A. Kats, F. Aieta, J.P. Tetienne, F. Capasso, Z. Gaburro, Science 334, 333 (2011)

    Article  ADS  Google Scholar 

  22. N. Yu, F. Capasso, Nat. Mater. 13, 139 (2014)

    Article  ADS  Google Scholar 

  23. O. Ouchetto, C.W. Qiu, S. Zouhdi, L.W. Li, A. Razek, IEEE Trans. Microw. Theory Tech. 54, 3893 (2006)

    Article  ADS  Google Scholar 

  24. J.P. Huang, K.W. Yu, Phys. Rep. 431, 87 (2006)

    Article  ADS  Google Scholar 

  25. G.Q. Gu, K.W. Yu, Phys. Rev. B 46, 4502 (1992)

    Article  ADS  Google Scholar 

  26. K.W. Yu, G.Q. Gu, Phys. Rev. B 46, 4502 (1992)

    Article  ADS  Google Scholar 

  27. L. Gao, J.P. Huang, K.W. Yu, Eur. Phys. J. B 36, 475 (2003)

    Article  ADS  Google Scholar 

  28. A. Salazar, Eur. J. Phys. 27, 1349 (2006)

    Article  Google Scholar 

  29. S.S. Zhang, Z.S. Deng, J. Liu, in Conference on Heat and Mass Transfer of Chinese Society of Engineering Thermophysics, Dongguan, China (2012), No. 123686 (in Chinese)

  30. L. Gao, Phys. Rev. E 71, 067601 (2005)

    Article  ADS  Google Scholar 

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Correspondence to Jiping Huang.

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Dai, G., Shang, J., Wang, R. et al. Nonlinear thermotics: nonlinearity enhancement and harmonic generation in thermal metasurfaces. Eur. Phys. J. B 91, 59 (2018). https://doi.org/10.1140/epjb/e2018-80596-8

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  • DOI: https://doi.org/10.1140/epjb/e2018-80596-8

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