Implementation of Harmonic Mapping to a Cloak Phenomenon
Abstract
In this work, a novel physical transformation-based approach has been employed to realize the cloak effect. The transformation mapping is derived for the first time by minimizing the energy functional subject to specified geometric constraints on the scatterer's boundaries. This variational problem has been solved using a physics-informed neural network to solve the boundary-value problem for the Laplace equation. Numerical analysis and graphical visualization of the obtained results clearly demonstrate weak scattering and distortion, as well as negligible perturbation to exterior fields. Furthermore, we show that the proposed mapping achieves considerably improved performance compared with conventional transformation-based cloaking methods, which can be used to mask compact radiating devices, particularly patch antennas.
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