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We investigate the scattering properties of the finite periodic structure consisting of the PT dipoles represented by gain/loss cylinders arranged in a 2D honeycomb lattice. We found that the total scattered energy reveals series of sharp resonances at which the energy increases by two orders of magnitude and an incident wave with arbitrary frequency is scattered only in a few directions given by spatial symmetry of periodic structure. Both features can be qualitatively explained by analysis of the complex band structure associated with an infinite honeycomb array of the PT dipoles which supports
the broken PT-symmetric phase at the symmetry points and along the ΓK and ΓM directions and provides the mechanisms leading to a significant enhancement of the radiated power and offers a plausible explanation to highly-directional scattering pattern. Specifically, we assigned the lowest resonance in the total scattering energy to the broken PT-symmetry mode formed by a doubly degenerate pair with complex conjugate eigenfrequencies corresponding to the K-point of the reciprocal lattice.
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Vladimír Kuzmiak, Peter Markoš, "Resonant scattering from a two-dimensional honeycomb PT dipole structure (Conference Presentation)," Proc. SPIE 11025, Metamaterials XII, 1102507 (13 May 2019); https://doi.org/10.1117/12.2522989