Theory Of The Electric Dual-function Cloak Design

We theoretically explore a kind of bi-functional cloaks with both electrical and thermal functions. We employ a composite material to design the cloak shell. By using the effective medium theory, the effective electrical and thermal conductivities of the composite material should meet the perfect conductivity profile calculated from the coordinate transformation approach. In the design, we choose the non-spherical nano-particles with appropriate electrical and thermal conductivities, shape aspects, as well as volume fractions. Furthermore, finite element simulations are performed to verify the property of bi-functional cloaks.The thesis focuses on the propagation of waves in an anisotropic material, especially of those transformation media. We propose a universal theory to approach the multiple physical fields and control them by the anisotropic composite material simultaneously. In addition, in the simulation part of this thesis, we use the finite element simulations by COMSOL Multiphysics to perform the 2D and 3D results.There are five chapters in the thesis. The background of the thesis is introduced in Chapter 1. In Chapter 2, we mainly present the theory of the transformation media, based on which the bi-functional cloak is proposed. Then from the one to one mapping of the thermal equation and the direct current conductivity equation, the theory of transformation media is built up, which leads to the concept of the three dimensional bi-functional cloaking. In the Chapter 3, the finite element simulations based on the commercial software COMSOL Multiphysics are introduced and the results of our design are displayed. In the Chapter 4, the theoretical calculations and the parameters are discussed. Furthermore, some suggestions for experimental demonstration are made, and our conclusions are summarized in Chapter 5.