Chiral photonic crystals with four-fold symmetry: Band structure and S-parameters of eight-fold intergrown Gyroid nets
Saba, M., Turner, M.D., Gu, M., Mecke, K. and Schröder-Turk, G.E. (2013) Chiral photonic crystals with four-fold symmetry: Band structure and S-parameters of eight-fold intergrown Gyroid nets. In: SPIE: Micro/Nano Materials, Devices, and Systems, 9 - 11 December 2013, Melbourne, Australia 89233T.
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The Single Gyroid, or srs, nanostructure has attracted interest as a circular-polarisation sensitive photonic material. We develop a group theoretical and scattering matrix method, applicable to any photonic crystal with symmetry I432, to demonstrate the remarkable chiral-optical properties of a generalised structure called 8-srs, obtained by intergrowth of eight equal-handed srs nets. Exploiting the presence of four-fold rotations, Bloch modes corresponding to the irreducible representations E- and E+ are identified as the sole and non-interacting transmission channels for right- and left-circularly polarised light, respectively. For plane waves incident on a finite slab of the 8-srs, the reflection rates for both circular polarisations are identical for all frequencies and transmission rates are identical up to a critical frequency below which scattering in the far field is restricted to zero grating order. Simulations show the optical activity of the lossless dielectric 8-srs to be large, comparable to metallic metamaterials, demonstrating its potential as a nanofabricated photonic material.
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