Published October 1, 2020 | Version v1
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Hybrid topological guiding mechanisms for photonic crystal fibers

  • 1. Department of Mathematics, Imperial College London, London SW7 2AZ, UK
  • 2. UMI 2004 Abraham de Moivre-CNRS, Imperial College London, London SW7 2AZ, UK

Description

We create hybrid topological-photonic localisation of light by introducing concepts from the field of topological matter to that of photonic crystal fiber arrays. S-polarized obliquely propagating electromagnetic waves are guided by hexagonal, and square, lattice topological systems along an array of infinitely conducting fibers. The theory utilises perfectly periodic arrays that, in frequency space, have gapped Dirac cones producing band gaps demarcated by pronounced valleys locally imbued with a nonzero local topological quantity. These broken symmetry-induced stop-bands allow for localised guidance of electromagnetic edge-waves along the crystal fiber axis. Finite element simulations, complemented by asymptotic techniques, demonstrate the effectiveness of the proposed designs for localising energy in finite arrays in a robust manner.

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Funding

BOHEME – Bio-Inspired Hierarchical MetaMaterials 863179
European Commission
Mathematical fundamentals of Metamaterials for multiscale Physics and Mechanics EP/L024926/1
UK Research and Innovation
EPSRC Centre for Doctoral Training in Fluid Dynamics across Scales EP/L016230/1
UK Research and Innovation
Biological metamaterials for enhanced noise control technology EP/T002654/1
UK Research and Innovation