  We propose a design of two-dimensional bi-anisotropic meta-waveguide
exhibiting topologically nontrivial photonic phase and robust photonic
transport. The structure proposed represents a waveguide formed by a periodic
array of metallic cylinders placed inside parallel metal plates and is designed
to support two pairs of Dirac cones thus allowing emulation of the spin of the
electrons in condensed matter systems. It is shown, that by making the
meta-waveguide bi-anisotropic one can mimic the spin-orbital interaction in
topological insulators and open a complete photonic topological band gap.
First-principle numerical simulations demonstrate that the domain walls between
two meta-waveguides with reversed bi-anisotropy support photonic edge states
robust against certain classes of structural imperfections, including sharp
bends and disorder.
