We have realized different honeycomb lattices for microwave photons in the 4
to 8 GHz band using superconducting spiral resonators. Each lattice comprises a
few hundred sites. Two designs have been studied, one leading to two bands
touching at the Dirac points and one where a gap opens at the Dirac points.
Using a scanning laser technique to image the eigenmodes of this new type of
photonic lattices, we are able to reconstruct their band structure. The
measured bands are in excellent agreement with ab initio models that combine
numerical simulations of the electromagnetic properties of the spiral resonator
and analytical calculations.