Thermal Carpet Cloaking Achieved by Layered Metamaterial
We have devised a thermal carpet cloak theoretically and implemented in silicon using layered metamaterial. The layered metamaterial is composed of single crystalline silicon and its phononic crystal. The design is based on a coordinate transformation. We demonstrate the result with numerical simulation. Great cloaking performance is achieved as a thermal insulator is well hidden under the thermal carpet cloak. We also show that the thermal carpet cloak can even the temperature on irregular surface. Using thermal carpet cloak to manipulate the heat conduction is effective because of its low complexity.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1087123Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1833
 J. B. Pendry, “Controlling Electromagnetic Fields,” Science,vol. 312, pp.1780, 2006.
 U. Leonhordt, “Optical comformal mapping,”Science,vol. 312, pp. 1777, 2006.
 M. Rahm, D.Schurig, D. A. Roberts, S. A. Cummer,D. R. Smith, and J. B. Pendry,”Design of electromagnetic cloaks and concentrators usingform-invariant coordinate transformations ofMaxwell’s equations", Photon. Nanostruct.:Fundam. Applic.,vol. 6, pp. 87, 2008.
 H. Y. Chen, and C. T. Chan, “Transformation media that rotate electromagnetic fields,”Appl. Phys. Lett., vol. 90, 241105, 2007.
 J. Li and J. B. Pendry, “Hiding under the Carpet: A New Strategy for Cloaking,”Phys. Rev. Lett., vol. 101, 203901, 2008.
 X. L. Zhang, X. Ni, M. H. Lu, and Y. F. Chen,“A feasible approach to achieve acoustic carpet cloak in air,” Phys.Lett. A, vol. 376, 493, 2012
 B.Popa and S. A. Cummer, “Homogeneous and compact acoustic ground cloaks,” Phys. Rev. B, vol. 83, pp. 224304, 2011.
 S. A.Cummer and D.Schurig, “One path to acoustic cloaking,” New J. Phys., vol. 9, pp. 45, 2007.
 S. Zhang, D. A. Genov, C. Sun, and X. Zhang, “Cloaking of Matter Waves,” Phys. Rev. Lett., vol. 100, pp. 123002, 2008.
 G. W.Milton, M.Briane, and J. R. Willis, “On cloaking for elasticity and physical equations with a transformation invariant form,” New J. Phys., vol. 8, pp.248, 2006.
 Y. A. Urzhumov and D. R. Smith, “Fluid Flow Control with Transformation Media,” Phys. Rev. Lett., vol. 107, pp. 074501, 2011.
 S.Guenneau, C. Amra, and D. Veynante, “Transformation thermodynamics: cloaking and concentrating heat flux,”Opt. Express,vol. 20, pp. 8207, 2012.
 P. E. Hopkins, P. T. Rakich, R. H. Olsson, I. F. El-kady, and L. M. Phinney, “Origin of reduction in phonon thermal conductivity of microporous solid,” Appl. Phys. Lett.,vol. 95, pp. 161902, 2009.
 J. Callaway,“Model for Lattice Thermal Conductivity at Low Temperatures,” J. Phys. Rev.,vol. 113, pp. 1046, 1959.
 M. G.Holland, “Analysis of Lattice Thermal Conductivity,” Phys. Rev.,vol. 132, pp. 2461, 1963.
 D. Song and G. Chen, “Thermal conductivity of periodic microporous silicon films ,”Appl. Phys. Lett., vol. 84, pp. 687,2004.
 P. E. Hopkins, C. M. Reinke, M. F. Su, R. H. Olsson-III, E. A. Shaner,Z. C. Leseman, J. R. Serrano, L. M. Phinney, and I. El-Kady, “Reduction in the thermal conductivity of single crystalline,” Nano. Lett., vol. 11, pp. 107, 2011.
 C. M. Reinke, M. F. Su, B. L. Davis, B. Kim, M. I. Hussein, Z. C. Leseman, R. H. Olsson-III, and I. Ei-Kady,“Thermal conductivity prediction of nanoscalephononic crystal slabs using a hybrid lattice dynamics-continuum mechanics technique,” AIP advance, vol. 1, pp. 041403,2011.
 M. S. Kushwaha, P. Halevi, L.Dobrzynski, and B. Djafari-Rouhani, “Acoustic Band Structure of Periodic Elastic Composites,”Phys. Rev. Lett., vol. 71, pp. 2022,1993.