Numerical optimization in problems of design multilayer cloaking shells consisting of hyperbolic metamaterials

The article is devoted to the numerical modeling of optimization problems for a 3D model of electrostatics that arise when designing multilayer shielding or cloaking devices. Various shell design options are considered. Based on the analysis of the computational experiments carried out, important properties of optimal solutions are established and it is shown that the resulting optimal solutions correspond to shielding or cloaking devices that have the highest efficiency in the class of devices under consideration.