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

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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.

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Authors and Affiliations

  1. Technical Center of China Tobacco Yunnan Industrial Co., Ltd., Kunming, 650231, China

    Ting-Hua Li  (李廷华), Dong-Lai Zhu  (朱东来) & Shou-Bo Li  (李寿波)

  2. School of Information Science and Engineering, Yunnan University, Kunming, 650091, China

    Ting-Hua Li  (李廷华), Fu-Chun Mao  (毛福春), Ming Huang  (黄铭) & Jing-Jing Yang  (杨晶晶)

Authors
  1. Ting-Hua Li  (李廷华)
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  2. Dong-Lai Zhu  (朱东来)
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  3. Fu-Chun Mao  (毛福春)
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  4. Ming Huang  (黄铭)
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  5. Jing-Jing Yang  (杨晶晶)
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  6. Shou-Bo Li  (李寿波)
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Correspondence to Ming Huang  (黄铭).

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Li, TH., Zhu, DL., Mao, FC. et al. Design of diamond-shaped transient thermal cloaks with homogeneous isotropic materials. Front. Phys. 11, 110503 (2016). https://doi.org/10.1007/s11467-016-0575-4

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  • DOI: https://doi.org/10.1007/s11467-016-0575-4

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