Supplementary Material for Topology of Far-field Signals for Photonic Crystal Slabs

Details for (i) correspondence between far-field Polarization and Chern numbers, (ii) calculation of quality factor near gamma point by temporal coupled-mode theory, (iii) robustness of multi-layered structures, (iv) far-field properties of edge states, (v) constraints of symmetry on chern numbers, (vi) correspondence under non-abelian connections, (vii) experimental observation method