Modeling and Computer Design of Magnetic Invisibility Devices

Abstract

An efficient numerical algorithm for solving a two-dimensional magnetic cloaking problem based on an optimization method is proposed. It is assumed that a cloaking device has the form of a circular shell consisting of a finite number of circular layers, each of which is filled with a homogeneous isotropic medium. The idea of the proposed method is that all layers, except for the last one, are filled with high-contrast materials according to the alternating design scheme, while the material of the last layer is determined by minimizing a special cost functional associated with the cloaking performance of the designed shell. Based on the analysis of computational experiments performed using the particle swarm optimization method it is demonstrated that the developed algorithm makes it possible to design cloaking layered shells possessing the highest performance in the considered class of devices and simplicity of technical implementation.