Frontiers of Physics

, 11:110503 | Cite as

Design of diamond-shaped transient thermal cloaks with homogeneous isotropic materials

  • Ting-Hua Li (李廷华)
  • Dong-Lai Zhu (朱东来)
  • Fu-Chun Mao (毛福春)
  • Ming Huang (黄铭)
  • Jing-Jing Yang (杨晶晶)
  • Shou-Bo Li (李寿波)
Research Article
  • 74 Downloads

Abstract

Transformation thermodynamics as a major extension of transformation optics has recently received considerable attention. In this paper, we present two-dimensional (2D) and three-dimensional (3D) diamond-shaped transient thermal cloaks with non-singular homogeneous material parameters. The absence of singularity in the parameters results from the fact that the linear coordinate transformation is performed by expanding a line segment rather than a point into a region, while the mechanism behind the homogeneity is the homogeneous stretching and compression along orthogonal directions during the transformation. Although the derived parameters remain anisotropic, we further show that this can be circumvented by considering a layered structure composed of only four types of isotropic materials based on the effective medium theory. Numerical simulation results confirm the good performance of the proposed cloaks.

Keywords

transformation thermodynamics metamaterials thermal cloak effective medium theory 

References

  1. 1.
    J. B. Pendry, D. Schurig, and D. R. Smith, Controlling electromagnetic fields, Science 312(5781), 1780 (2006)ADSMathSciNetCrossRefMATHGoogle Scholar
  2. 2.
    U. Leonhardt, Optical conformal mapping, Science 312(5781), 1777 (2006)ADSMathSciNetCrossRefMATHGoogle Scholar
  3. 3.
    H. Y. Chen, C. T. Chan, and P. Sheng, Transformation optics and metamaterials, Nat. Mater. 9(5), 387 (2010)ADSCrossRefGoogle Scholar
  4. 4.
    D. H. Werner and D. H. Kwon, Transformation Electromagnetics and Metamaterials, London: Springer-Verlag, 2015Google Scholar
  5. 5.
    W. Li, J. G. Guan, Z. G. Sun, W. Wang, and Q. J. Zhang, A near-perfect invisibility cloak constructed with homogeneous materials, Opt. Express 17(26), 23410 (2009)ADSCrossRefGoogle Scholar
  6. 6.
    D. Bao, E. Kallos, W. X. Tang, C. Argyropoulos, Y. Hao, and T. J. Cui, A broadband simplified free space cloak realized by nonmagnetic dielectric cylinders, Front. Phys. 5(3), 319 (2010)Google Scholar
  7. 7.
    M. R. Forouzeshfard and M. Hosseini Farzad, Twin invisibility cloak at a distance and its illusory properties, Plasmonics 10(1), 125 (2015)CrossRefGoogle Scholar
  8. 8.
    M. M. Sadeghi, H. Nadgaran, and H. Y. Chen, Perfect field concentrator using zero index metamaterials and perfect electric conductors, Front. Phys. 9(1), 90 (2014)CrossRefGoogle Scholar
  9. 9.
    J. Yi, S. N. Burokur, G.P. Piau, and A. de Lustrac, Coherent beam control with an all-dielectric transformation optics based lens, Sci. Rep. 6, 18819 (2016)ADSCrossRefGoogle Scholar
  10. 10.
    F. Sun and S. L. He, Overlapping illusions by transformation optics without any negative refraction material, Sci. Rep. 6, 19130 (2016)ADSCrossRefGoogle Scholar
  11. 11.
    H. Y. Chen and C. T. Chan, Acoustic cloaking and transformation acoustics, J. Phys. D Appl. Phys. 43(11), 113001 (2010)ADSMathSciNetCrossRefGoogle Scholar
  12. 12.
    M. Farhat, S. Guenneau, and S. Enoch, Ultrabroadband elastic cloaking in thin plates, Phys. Rev. Lett. 103(2), 024301 (2009)ADSCrossRefGoogle Scholar
  13. 13.
    G. R. Mohammadi, A. G. Moghaddam, and R. Mohammadkhani, Coordinate transformations and matter waves cloaking, Phys. Lett. A 380(9–10), 1093 (2016)ADSCrossRefGoogle Scholar
  14. 14.
    W. R. Zhu, I. D. Rukhlenko, and M. Premaratne, Linear transformation optics for plasmonics, J. Opt. Soc. Am. B 29(10), 2659 (2012)ADSCrossRefGoogle Scholar
  15. 15.
    L. W. Zeng and R. X. Song, Controlling chloride ions diffusion in concrete, Sci. Rep. 3, 3359 (2013)ADSGoogle Scholar
  16. 16.
    U. Leonhardt, Applied physics: Cloaking of heat, Nature 498(7455), 440 (2013)ADSCrossRefGoogle Scholar
  17. 17.
    C. Z. Fan, Y. Gao, and J. P. Huang, Shaped graded materials with an apparent negative thermal conductivity, Appl. Phys. Lett. 92(25), 251907 (2008)ADSCrossRefGoogle Scholar
  18. 18.
    G. X. Yu, Y. F. Lin, G. Q. Zhang, Z. Yu, L. L. Yu, and J. Su, Design of square-shaped heat flux cloaks and concentrators using method of coordinate transformation, Front. Phys. 6(1), 70 (2011)CrossRefGoogle Scholar
  19. 19.
    T. Z. Yang, L. J. Huang, F. Chen, and W. K. Xu, Heat flux and temperature field cloaks for arbitrarily shaped objects, J. Phys. D Appl. Phys. 46(30), 305102 (2013)ADSCrossRefGoogle Scholar
  20. 20.
    F. C. Mao, T. H. Li, M. Huang, J. J. Yang, and J. C. Chen, Research and design of thermal cloak in arbitary shape, Acta Physica Sinica 63(1), 014401 (2014) (in Chinese)Google Scholar
  21. 21.
    T. C. Han, T. Yuan, B. W. Li, and C. W. Qiu, Homogeneous thermal cloak with constant conductivity and tunable heat localization, Sci. Rep. 3, 1593 (2013)ADSGoogle Scholar
  22. 22.
    S. Narayana and Y. Sato, Heat flux manipulation with engineered thermal materials, Phys. Rev. Lett. 108(21), 214303 (2012)ADSCrossRefGoogle Scholar
  23. 23.
    E. H. Ooi and V. Popov, Transformation thermodynamics for heat flux management based on segmented thermal cloaks, Eur. Phys. J. Appl. Phys. 63(1), 10903 (2013)CrossRefGoogle Scholar
  24. 24.
    S. Guenneau, C. Amra, and D. Veynante, Transformation thermodynamics: Cloaking and concentrating heat flux, Opt. Express 20(7), 8207 (2012)ADSCrossRefGoogle Scholar
  25. 25.
    R. Schittny, M. Kadic, S. Guenneau, and M. Wegener, Experiments on transformation thermodynamics: Molding the flow of heat, Phys. Rev. Lett. 110(19), 195901 (2013)ADSCrossRefGoogle Scholar
  26. 26.
    T. C. Han, X. Bai, J. T. L. Thong, B. W. Li, and C. W. Qiu, Full control and manipulation of heat signatures: Cloaking, camouflage and thermal metamaterials, Adv. Mater. 26(11), 1731 (2014)CrossRefGoogle Scholar
  27. 27.
    T. C. Han, X. Bai, D. L. Gao, J. T. L. Thong, B. W. Li, and C. W. Qiu, Experimental demonstration of a bilayer thermal cloak, Phys. Rev. Lett. 112(5), 054302 (2014)ADSCrossRefGoogle Scholar
  28. 28.
    H. Y. Xu, X. H. Shi, F. Gao, H. D. Sun, and B. L. Zhang, Ultrathin three-dimensional thermal cloak, Phys. Rev. Lett. 112(5), 054301 (2014)ADSCrossRefGoogle Scholar
  29. 29.
    Y. G. Ma, L. Lan, W. Jiang, F. Sun, and S. L. He, A transient thermal cloak experimentally realized through a rescaled diffusion equation with anisotropic thermal diffusivity, NPG Asia Mater. 5(11), e73 (2013)CrossRefGoogle Scholar
  30. 30.
    X. He and L. Z. Wu, Design of two-dimensional open cloaks with finite material parameters for thermodynamics, Appl. Phys. Lett. 102(21), 211912 (2013)ADSCrossRefGoogle Scholar
  31. 31.
    Y. Gao and J. P. Huang, Unconventional thermal cloak hiding an object outside the cloak, Europhys. Lett. 104(4), 44001 (2013)ADSMathSciNetCrossRefGoogle Scholar
  32. 32.
    R. Hu, X. L. Wei, J. Y. Hu, and X. B. Luo, Local heating realization by reverse thermal cloak, Sci. Rep. 4, 3600 (2014)ADSGoogle Scholar
  33. 33.
    D. M. Nguyen, H. Y. Xu, Y. M. Zhang, and B. L. Zhang, Active thermal cloak, Appl. Phys. Lett. 107(12), 121901 (2015)ADSCrossRefGoogle Scholar
  34. 34.
    S. Guenneau and C. Amra, Anisotropic conductivity rotates heat fluxes in transient regimes, Opt. Express 21(5), 6578 (2013)ADSCrossRefGoogle Scholar
  35. 35.
    T. C. Han, J. J. Zhao, T. Yuan, D. Y. Lei, B. W. Li, and C. W. Qiu, Theoretical realization of an ultra-efficient thermalenergy harvesting cell made of natural materials, Energy Environ. Sci. 6(12), 3537 (2013)CrossRefGoogle Scholar
  36. 36.
    Y. C. Liu, F. Sun, and S. L. He, Novel thermal lens for remote heating/cooling designed with transformation optics, Opt. Express 24(6), 5683 (2016)ADSCrossRefGoogle Scholar

Copyright information

© Higher Education Press and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Ting-Hua Li (李廷华)
    • 1
    • 2
  • Dong-Lai Zhu (朱东来)
    • 1
  • Fu-Chun Mao (毛福春)
    • 2
  • Ming Huang (黄铭)
    • 2
  • Jing-Jing Yang (杨晶晶)
    • 2
  • Shou-Bo Li (李寿波)
    • 1
  1. 1.Technical Center of China Tobacco Yunnan Industrial Co., Ltd.KunmingChina
  2. 2.School of Information Science and EngineeringYunnan UniversityKunmingChina

Personalised recommendations