The various screw axis and helices of the single Gyroid

Animation file: (avi, 50MB)

This animation shows the single gyroid from multiple directions and discusses the screw symmetries (“helical symmetries”). These are funny, as in one single enantiomer, there are both right-handed and left-handed axes, depending on location and orientation.

This video was produced in the context of Matthias Saba’s first piece of work on the photonic properties of single gyroid materials

  • M. Saba, M. Thiel, M.D. Turner, S.T. Hyde, M. Gu, K. Grosse-Brauckmann, D.N. Neshev, G.E. Schröder-Turk, “Circular dichroism in biological photonic crystals and cubic chiral nets”, Phys. Rev. Lett. 106, 103902 (2011)

and then updated for this paper

  • M. Saba, B.D. Wilts, J. Hielscher and G.E. Schröder-Turk, “Absence of circular polarization in reflections of butterfly wing scales with chiral Gyroid structure”, Materials Today: Proceedings 1, 193-208 (2014)

but it it is relevant to almost all of our papers on circular polarisation effects in single gyroid photonic materials, including these ones:

  • B. Cumming, G.E. Schröder-Turk and M. Gu, “Metallic gyroids with broadband circular dichroism“, Optics Letters 43(4), 863-866 (2018)
  • J. Hielscher, C. Pouya, P. Vukusic, G.E. Schröder-Turk, “Harmonic distortions enhance circular dichroism of dielectric single Gyroids“, Opt. Express 25(5), 5001-5017 (2017)
  • M. Saba and G.E. Schröder-Turk, “Block modes and evanescent modes of photonic crystals: weak form solutions based on accurate interface triangulation”, Crystals 5(1), 14-44 (2015)
  • B.P. Cumming, M.D. Turner, G.E. Schröder-Turk, S. Debbarma, B. Luther-Davies and M. Gu, “Adaptive optics enhanced direct laser writing of high refractive index gyroid photonic crystals in chalcogenide glass”, Optics Express 22, 689-698 (2014)
  • M.D. Turner, M. Saba, Q. Zhang, B.P. Cumming, G.E. Schröder-Turk, and M. Gu, “A chiral beamsplitter inspired by butterfly nanostructures”, Frontiers in Optics, post-deadline paper, doi: 10.1364/FIO.2013.FW6A.3 (2013)
  • M.D. Turner, M. Saba, Q.M. Zhang, B.P. Cumming, G.E. Schröder-Turk, M. Gu, “Miniature chiral beamsplitter based on gyroid photonic crystals”, Nature Photonics 7(10), 801-805 (2013)

 

(Post backdated, as animation is already quite old)