Chao Liu, Xiaowei Guo, Shaorong Li, Yuan Gao. Theory and Application of Edge States in Topological Photonic Crystals[J]. Laser & Optoelectronics Progress, 2022, 59(1): 0100001
- Laser & Optoelectronics Progress
- Vol. 59, Issue 1, 0100001 (2022)
![One-dimensional SSH model and its band structure relationship. (a) Single cell arrangement scheme in SSH model[20]; (b) different band relations as the transition intensities α and β changed[31]](/richHtml/lop/2022/59/1/0100001/img_1.jpg)
Fig. 1. One-dimensional SSH model and its band structure relationship. (a) Single cell arrangement scheme in SSH model[20]; (b) different band relations as the transition intensities
![Honeycomb lattice of two-dimensional Haldane model and its band structure relationship. (a) Honeycomb lattice structure under the quantum Hall effect of light[39]; (b) (c) band structure before and after opening Dirac point[40]](/richHtml/lop/2022/59/1/0100001/img_2.jpg)
Fig. 2. Honeycomb lattice of two-dimensional Haldane model and its band structure relationship. (a) Honeycomb lattice structure under the quantum Hall effect of light[39]; (b) (c) band structure before and after opening Dirac point[40]
![Band structure of the one-way transmission channel formed by the quantum spin Hall effect[42]](/Images/icon/loading.gif){kind=icon}
Fig. 3. Band structure of the one-way transmission channel formed by the quantum spin Hall effect[42]
Fig. 4. Lattice unit and its band structure under the two-dimensional valley Hall effect. (a) Periodic lattice cell; (b) band structure under the valley Hall effect[51]; (c) band structure for the formation of the edge states at different valley points
Fig. 5. Topological microlaser array. (a) Basic structure; (b) light field output effect under the optical pump; (c) single-supermode lasing from the topological microlaser
Fig. 6. Topological insulator laser[56]. (a) Geometric structure, the inner illustration shows the robustness of the array against defect states; (b) (c) output intensity effects
Fig. 7. Terahertz quantum cascade laser with topologically protected valley edge states[60]. (a) Laser structure; (b) (c) energy-band structure; (d) (e) topological interface formed by cell lattice; (f) output of an electrically pumped laser at different currents
Fig. 8. Silicon-on-insulator valley photonic crystal planar structure[65]. (a) Schematic structure; (b) unit lattice arrangement of VPC1 and VPC2; (c) topological edge states do not scatter at the corners; (d) unidirectional coupling of the planar waveguide in the valley dependent edge states
Fig. 9. Honeycomb CROW array[70]. (a) Schematic of structure, the enlarged part is a single repeating unit; (b) transmission spectrum and output effect
Fig. 10. Photonic crystal heterostructure[72]. (a) Optical path transmission; (b) transmission spectra of UDT topological interface states; (c) electric field diagram shows that light can only travel in one direction in this structure
Fig. 11. Diagram of TPMZI and VPC structures[19]. (a) TPMZI structure; (b) VPC structure; (c) broadband high transmission of TPMZI; (d) TPMZI exhibits the periodicity of coherent phase length and coherent cancellation
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