Guenneau Sebastien, Amra Claude, Veynante Denis
Institut Fresnel, UMR CNRS 6133, Aix-Marseille Universite, Campus universitaire de Saint-Jerome, Marseille 13013, France.
Opt Express. 2012 Mar 26;20(7):8207-18. doi: 10.1364/OE.20.008207.
We adapt tools of transformation optics, governed by a (elliptic) wave equation, to thermodynamics, governed by the (parabolic) heat equation. We apply this new concept to an invibility cloak in order to thermally protect a region (a dead core) and to a concentrator to focus heat flux in a small region. We finally propose a multilayered cloak consisting of 20 homogeneous concentric layers with a piecewise constant isotropic diffusivity working over a finite time interval (homogenization approach).
我们将由(椭圆型)波动方程支配的变换光学工具应用于由(抛物型)热方程支配的热力学。我们将这一新概念应用于一个隐形斗篷,以便对一个区域(一个死核)进行热保护,并应用于一个集中器,以在一个小区域内聚焦热通量。我们最终提出了一种由20个均匀同心层组成的多层斗篷,其具有分段常数各向同性扩散率,在有限时间间隔内起作用(均匀化方法)。