[1] Liu A J, Wolf P, Lott J A et al. Vertical-cavity surface-emitting lasers for data communication and sensing[J]. Photonics Research, 7, 121-136(2019).

[2] Cheng C H, Shen C C, Kao H Y et al. 850/940-nm VCSEL for optical communication and 3D sensing[J]. Opto-Electronic Advances, 1, 180005(2018).

[3] Chen Z J, Sludds A, Davis R et al. Deep learning with coherent VCSEL neural networks[J]. Nature Photonics, 17, 723-730(2023).

[4] Imada M, Chutinan A, Noda S et al. Multidirectionally distributed feedback photonic crystal lasers[J]. Physical Review B, 65, 195306(2002).

[5] Yoshida M, Katsuno S, Inoue T et al. High-brightness scalable continuous-wave single-mode photonic-crystal laser[J]. Nature, 618, 727-732(2023).

[6] Lu L, Joannopoulos J D, Soljačić M. Topological photonics[J]. Nature Photonics, 8, 821-829(2014).

[7] Khanikaev A B, Shvets G. Two-dimensional topological photonics[J]. Nature Photonics, 11, 763-773(2017).

[8] Yang Y H, Gao Z, Xue H R et al. Realization of a three-dimensional photonic topological insulator[J]. Nature, 565, 622-626(2019).

[9] Xiao M, Zhang Z Q, Chan C T. Surface impedance and bulk band geometric phases in one-dimensional systems[J]. Physical Review X, 4, 021017(2014).

[10] Liu Y, Huang M C, Chen Q K et al. Planar topological differentiator based on all-dielectric one-dimensional photonic crystal (invited)J]. Acta Optica Sinica, 44, 1026022(2024).

[11] Wu L H, Hu X. Scheme for achieving a topological photonic crystal by using dielectric material[J]. Physical Review Letters, 114, 223901(2015).

[12] Chen J H, Li Y F, Hang Z H. Topological phase transition of photonic crystals based on electrostatic interaction model[J]. Acta Optica Sinica, 42, 2126010(2022).

[13] St-Jean P, Goblot V, Galopin E et al. Lasing in topological edge states of a one-dimensional lattice[J]. Nature Photonics, 11, 651-656(2017).

[14] Zhang J Y, Wang B N, Wang R et al. Transport characteristics of topological edge states in dual-band valley photonic crystals[J]. Acta Optica Sinica, 43, 0916001(2023).

[15] Gagel P, Egorov O A, Dzimira F et al. An electrically pumped topological polariton laser[EB/OL]. http://arxiv.org/abs/2402.00639v1

[16] Dikopoltsev A, Harder T H, Lustig E et al. Topological insulator vertical-cavity laser array[J]. Science, 373, 1514-1517(2021).

[17] Li Y, Zhang Y A, Yan X et al. Topological photonic crystal nanowire array laser with bulk states[J]. Optics Express, 32, 14521-14531(2024).

[18] Tian J Y, Tan Q Y, Wang Y T et al. Perovskite quantum dot one-dimensional topological laser[J]. Nature Communications, 14, 1433(2023).

[19] Shao Z K, Chen H Z, Wang S et al. A high-performance topological bulk laser based on band-inversion-induced reflection[J]. Nature Nanotechnology, 15, 67-72(2020).

[20] Yang L C, Li G R, Gao X M et al. Topological-cavity surface-emitting laser[J]. Nature Photonics, 16, 279-283(2022).

[21] Han S, Cui J Y, Chua Y et al. Electrically-pumped compact topological bulk lasers driven by band-inverted bound states in the continuum[J]. Light: Science & Applications, 12, 145(2023).

[22] Suchomel H, Klembt S, Harder T H et al. Platform for electrically pumped polariton simulators and topological lasers[J]. Physical Review Letters, 121, 257402(2018).

[23] Harari G, Bandres M A, Lumer Y et al. Topological insulator laser: theory[J]. Science, 359, eaar4003(2018).

[24] Panajotov K, Dems M. Photonic crystal vertical-cavity surface-emitting lasers with true photonic bandgap[J]. Optics Letters, 35, 829-831(2010).