Group theory of circular-polarization effects in chiral photonic crystals with four-fold rotation axes applied to the eight-fold intergrowth of gyroid nets
Saba, M., Turner, M.D., Mecke, K., Gu, M. and Schröder-Turk, G.E. (2013) Group theory of circular-polarization effects in chiral photonic crystals with four-fold rotation axes applied to the eight-fold intergrowth of gyroid nets. Physical Review B, 88 (24).
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We use group or representation theory and scattering matrix calculations to derive analytical results for the band structure topology and the scattering parameters, applicable to any chiral photonic crystal with body-centered-cubic symmetry I432 for circularly polarized incident light. We demonstrate in particular that all bands along the cubic  direction can be identified with the irreducible representations E±, A, and B of the C4 point group. E+ and E− modes represent the only transmission channels for plane waves with wave vector along the Δ line, and E− and E+ are identified as noninteracting transmission channels for right- and left-circularly polarized light, respectively. Scattering matrix calculations provide explicit relationships for the transmission and reflectance amplitudes through a finite slab which guarantee equal transmission rates for both polarizations and vanishing ellipticity below a critical frequency, yet allowing for finite rotation of the polarization plane. All results are verified numerically for the so-called 8-srs geometry, consisting of eight interwoven equal-handed dielectric gyroid networks embedded in air. The combination of vanishing losses, vanishing ellipticity, near-perfect transmission, and optical activity comparable to that of metallic metamaterials makes this geometry an attractive design for nanofabricated photonic materials.
|Publication Type:||Journal Article|
|Publisher:||American Physical Society|
|Copyright:||© 2013 American Physical Society|
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