Transformation thermodynamics as a major extension of transformation optics has recently received considerable attention. In this paper, we present two-dimeusional （2D） and three-dimensional （3D） diamond-shaped tr...Transformation thermodynamics as a major extension of transformation optics has recently received considerable attention. In this paper, we present two-dimeusional （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.展开更多
基金Acknowledgements This work was supported by the Na- tional Natural Science Foundation of China （Grant Nos. 61161007 and 61261002）, the Specialized Research Fund for the Doctoral Program of Higher Education （Grant No. 20135301110003）, the Key Program of Natural Science of Yunnan Province （Grant No. 2013FA006）, and the Fostering Foundation for the Excellent Ph.D.Dissertation of Yunnan University （Grant No. XT512004）.
文摘Transformation thermodynamics as a major extension of transformation optics has recently received considerable attention. In this paper, we present two-dimeusional （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.
