Fig. 1. Topological photonic state in ordered lattice. (a) Square lattice MOPC and metal plate^[15]; (b) square lattice MOPC and triangular lattice aluminum PC with bandgap^[16]; (c) hexagonal lattice MOPC^[17,69]; (d) triangular lattice MOPC plate^[70]

Fig. 2. Topological photonic state in disordered lattice. (a) MOPC with disordered position and cell size^[57]; (b) single-row disordered magneto-optical column^[71]; (c) MOPC with disordered superlattice^[72]; (d) circular and triangular disordered MOPCs^[73]; (e) crystal, glass-like, and liquid-like MOPC^[74]

Fig. 3. Construction of microscopic physical figure^[75]. (a) Microscopic physical figures of topological current and topological photonic state; (b) infinite uniform MO medium; (c) semi-infinite air-MO medium; (d)(e) single MO column; (f) microscopic physical figure of TPS in semi-infinite air-MO medium interface; (g) TPS in hexagonal lattice MOPC; (h) TPS in square lattice MOPC

Fig. 4. MOPC with the breaking of time- and space-inversion symmetries. (a) Changing cell dielectric constant^[76]; (b) changing cell size^[27]; (c) changing rotation angle of dielectric structure^[78]

Fig. 5. Antichiral topological photonic state. (a) Schematic diagram of antichiral TPS^[79]; (b) projected band structure^[79]; (c) eigenmodal field^[79]; (d) schematic diagram of unit cell^[80]; (e) verification of robustness^[79]; (f) compact three-channel one-way waveguide^[79]; (g)-(i) experimental demonstration^[80]

Fig. 6. Broadband topological photonic state and topological slow-light state. (a) Broadband TPS^[81]; (b) topological slow-light state with low group velocity^[51]; (c) group dispersionless slow-light state^[53]; (d) broadband tunable slow-light trapping rainbow^[54]; (e) broadband group dispersionless topological slow-light state^[55]

Fig. 7. Topological photonic cavity. (a) One-way channel-drop filter with point cavity mode^[84]; (b) one-way channel-drop filter with ring cavity^[85]; (c) ring cavity array^[86]; (d) dislocation topology cavity^[87]

Fig. 8. Multimode topological photonic state and topological photonic circuit^[6]

Fig. 9. Topological laser^[45]. (a) Schematic diagram of topological laser and unit cell; (b) experimental demonstration

Fig. 10. Topological fiber^[88]. (a) Regular fiber and topological fiber; (b) three-dimensional magneto-optical Weyl photonic crystal