Numerical optimization in the problems of designing multilayer magnetic cloaking shells

Yu. E. Spivak<sup>ab

a</sup> Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
^b Far Eastern Federal University, Vladivostok

Abstract: A multiparameter optimization problem of magnetic cloaking is solved for a two-dimensional model of magnetostatics. This problem arises when designing cylindrical multilayer cloaking devices filled with anisotropic or isotropic magnetic media with tensor, in the general case, magnetic permeabilities. Applying the optimization method for solving inverse problems the considered problem of magnetic cloaking is reduced to a finite-dimensional extremum problem. The results of applying the developed numerical algorithm based on the particle swarm optimization method to solve the extremum problem confirm its high efficiency and make it possible to establish the important property of the obtained optimal solutions.

Key words: magnetostatic model, magnetic cloaking, extremum problem, particle swarm optimization, bang-bang principle.

UDC: 517.95

MSC: Primary 35Q93; Secondary 78A46

Received: 01.08.2023
Accepted: 14.11.2023

DOI: 10.47910/FEMJ202323