The concentrically layered thermal cloaks with isotropic materials could realize the equivalent thermal cloaking effect with Pendry＇s cloak, while the effectiveness is scarcely investigated quantitatively. Here we ex...The concentrically layered thermal cloaks with isotropic materials could realize the equivalent thermal cloaking effect with Pendry＇s cloak, while the effectiveness is scarcely investigated quantitatively. Here we examine the cloaking effectiveness quantitatively by evaluating the standard deviation of the temperature difference between the simulated plane with the layered thermal cloak and Pendry＇s thermal cloak. The design rules for the isotropic materials in terms of thermal conductivity and layer thickness are presented. The present method could quan- titatively evaluate the cloaking effectiveness, and could open avenues for analyzing the cloaking effect, detecting the （anti-） cloaks, etc.展开更多
In recent years,various kinds of cloak devices were designed by transforma-tion optics,but these cloak metamaterials are anisotropic and difficult to manufacture.In this paper,we designed the isotropic cloak metamateri...In recent years,various kinds of cloak devices were designed by transforma-tion optics,but these cloak metamaterials are anisotropic and difficult to manufacture.In this paper,we designed the isotropic cloak metamaterials based on the numeri-cal method of the optimization theory to the inverse medium problem.This method has universality,and it is not limited by the shape and type of the cloak device.This isotropic material is easier to manufacture in practice than anisotropic material.A large number of numerical results show the effectiveness of the method.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos 51576078 and 51376070
文摘The concentrically layered thermal cloaks with isotropic materials could realize the equivalent thermal cloaking effect with Pendry＇s cloak, while the effectiveness is scarcely investigated quantitatively. Here we examine the cloaking effectiveness quantitatively by evaluating the standard deviation of the temperature difference between the simulated plane with the layered thermal cloak and Pendry＇s thermal cloak. The design rules for the isotropic materials in terms of thermal conductivity and layer thickness are presented. The present method could quan- titatively evaluate the cloaking effectiveness, and could open avenues for analyzing the cloaking effect, detecting the （anti-） cloaks, etc.
基金supported by NSFC Projects(Nos.11771371 and 12171411)Key Project of Hunan Education Department,China(No.18A056)+1 种基金Project of Scientific Research Fund of Hunan Provincial Science and Technology Department(No.2018WK4006)Project of Scientific Research Fund of Hunan Provincial Science and Technology Department,Hunan National Applied Mathematics Center,China(No.2020ZYT003).
文摘In recent years,various kinds of cloak devices were designed by transforma-tion optics,but these cloak metamaterials are anisotropic and difficult to manufacture.In this paper,we designed the isotropic cloak metamaterials based on the numeri-cal method of the optimization theory to the inverse medium problem.This method has universality,and it is not limited by the shape and type of the cloak device.This isotropic material is easier to manufacture in practice than anisotropic material.A large number of numerical results show the effectiveness of the method.
