Abstract

Inverse problems for a three-dimensional magnetostatic model arising in the design of axisymmetric multilayered shielding and cloaking devices are stated. Assuming that the designed device consists of a finite number of spherical layers, each filled with a homogeneous isotropic medium, an optimization-based numerical algorithm is proposed for solving the problems. As a result, the considered inverse problems are reduced to finite-dimensional optimization ones in which the role of controls is played by the magnetic permeabilities of each elementary layer. The desired controls are found by applying particle swarm optimization. By analyzing numerical results, it is shown that the obtained optimal solutions correspond to cloaking devices having the highest efficiency in the considered class of devices and provide the simplicity of technical implementation.

中文翻译：

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基于优化的三维电磁隐身问题数值分析

摘要

提出了在轴对称多层屏蔽和隐身装置的设计中出现的三维静磁模型的反问题。假设所设计的设备由有限数量的球形层组成，每个球形层均填充有均质的各向同性介质，则提出了一种基于优化的数值算法来解决这些问题。结果，所考虑的逆问题被简化为有限维优化问题，其中控制的作用由每个基本层的磁导率发挥。通过应用粒子群算法可以找到所需的控件。通过分析数值结果，