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arXiv · 1707.09780

Optical properties of honeycomb photonic structures

Artem D. Sinelnik·Mikhail V. Rybin·Stanislav Y. Lukashenko·Mikhail F. Limonov·Kirill B. Samusev
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Abstract

We study, theoretically and experimentally, optical properties of different types of honeycomb photonic structures, known also as `photonic graphene'. First, we employ the two-photon polymerization method to fabricate the honeycomb structures. In experiment, we observe a strong diffraction from a finite number of elements, thus providing a unique tool to define the exact number of scattering elements in the structure by a naked eye. Then, we study theoretically the transmission spectra of both honeycomb single layer and 2D structures of parallel dielectric circular rods. When the dielectric constant of the rod materials $\varepsilon$ is increasing, we reveal that a two-dimensional photonic graphene structure transforms into a metamaterial when the lowest TE${}_{01}$ Mie gap opens up below the lowest Bragg bandgap. We also observe two Dirac points in the band structure of 2D photonic graphene at the $K$ point of the Brillouin zone and demonstrate a manifestation of the Dirac lensing for the TM polarization. The performance of the Dirac lens is that the 2D photonic graphene layer converts a wave from point source into a beam with flat phase surfaces at the Dirac frequency for the TM polarization.

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Artem D. Sinelnik, Mikhail V. Rybin, Stanislav Y. Lukashenko, Mikhail F. Limonov, Kirill B. Samusev. 2017-07-31. Optical properties of honeycomb photonic structures. https://doi.org/10.1103/physreva.95.063837

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