Abstract
We study inverse problems of magnetostatics that arise when designing two-dimensional multilayered shielding and cloaking devices. It is assumed that the device to be designed has the form of a circular shell consisting of finitely many layers, each filled with a homogeneous isotropic medium. Using an optimization method, the inverse problems under consideration are reduced to finite-dimensional control problems in which the constant permeabilities of the layers play the role of control parameters. A numerical algorithm based on the particle swarm method is proposed for solving the control problems. Some properties of the algorithm proposed and of the resulting optimal solutions are established. Results of computational experiments are discussed.
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