Multithermally invisible cloaks and sensors with complex shapes

¹ Department of Physics, State Key Laboratory of Surface Physics, and Key Laboratory of Micro and Nano Photonic Structures (MOE), Fudan University - Shanghai 200438, China
² Department of Radiology, Changhai Hospital, Naval Medical University - Shanghai 200433, China
³ Key Laboratory of Materials for High- Power Laser, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences - Shanghai 201800, China

^(a) 13307110076@fudan.edu.cn
^(b) jphuang@fudan.edu.cn

Received: 1 November 2020
Accepted: 22 December 2020

Abstract

Multithermal metamaterials are more practical to control thermal energy because there are three basic modes of thermal transport in nature. However, existing theories for multithermotics, such as the transformation theory and effective medium theory, are limited to complicated parameters or regular shapes. To solve the problem, we apply the thermal uniqueness theorem together with the heat flux conservation to design multithermal metamaterials including invisible cloaks and sensors. Multithermotics refers to the combination of conduction and radiation, which are described by the Fourier law and the Rosseland diffusion approximation, respectively. The present scheme can simplify parameters despite complex shapes, which only requires simple layered structures. We further perform finite-element simulations with different shapes to confirm the desired effects. These results provide guidance for multithermal management such as considering the combination of other basic modes of thermal transport.