Tessellated and stellated invisibility
Andre Diatta, Andre Nicolet, Sebastien Guenneau, Frederic Zolla
TL;DR
This paper develops mathematical models for polygonal and star-shaped cloaks, analyzing how their scattering properties change with shape complexity using numerical and asymptotic methods.
Contribution
It introduces a symmetry group theoretical approach for designing polygonal and star-shaped cloaks and analyzes their scattering behavior.
Findings
Forward scattering worsens with more sides in star-shaped cloaks
Forward scattering improves with more sides in polygonal cloaks
Asymptotic analysis explains the antagonistic behavior
Abstract
We derive the expression for the anisotropic heterogeneous matrices of permittivity and permeability associated with two-dimensional polygonal and star shaped cloaks. We numerically show using finite elements that the forward scattering worsens when we increase the number of sides in the latter cloaks, whereas it improves for the former ones. This antagonistic behavior is discussed using a rigorous asymptotic approach. We use a symmetry group theoretical approach to derive the cloaks design.
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