Cloak Control of Thermal and Electric Fields in Anisotropic Semiconductor Concentrically Inhomogeneous Media

The principle for designing a two-dimensional concentric semiconductor two-layer structure bifunctionally invisibility in terms of its thermal and electrical properties is proposed in this study. The structure consists of an inner circular isotropic region, a background isotropic one, and two anisotropic concentric circular layers in between. The principle is based on the appropriate effective medium approach created by using the Wiedemann-Franz law and Schulgasser's formula. The proposed principle shows off a perfect cloaking performance for electrical and thermal properties of the structure. The effective response of the structure in the form of electric and thermal fields are calculated analytically using the obtained effective medium approach. To validate the principle and analyze the evolution of the above response of the considered structure, numerical simulations were carried out using COMSOL software.