Optimization-based Analysis of Inverse Problems of Designing Magnetic Cloaking and Shielding Devices

The inverse problems of magnetostatics arising when designing multilayer two-dimensional shielding or cloaking shells and other functional devices used to control magnetic fields are studied. It is assumed that such shells consist of a finite number of layers, each of which is filled with a homogeneous isotropic medium. Using the optimization method, the inverse problems are reduced to control problems. A numerical algorithm for solving these control problems based on the particle swarm optimization method is proposed, and the results of computational experiments are discussed.