[1] E. Yablonovitch, T. J. Gmitter. Photonic band structure: the face-centered-cubic case. Phys. Rev. Lett., 63, 1950-1953(1989).
[2] S. John. Strong localization of photons in certain disordered dielectric superlattices. Phys. Rev. Lett., 58, 2486-2489(1987).
[3] K. M. Ho, C. T. Chan, C. M. Soukoulis. Existence of a photonic gap in periodic dielectric structures. Phys. Rev. Lett., 65, 3152-3155(1990).
[4] S. Kubo, D. Mori, T. Baba. Low-group-velocity and low-dispersion slow light in photonic crystal waveguides. Opt. Lett., 32, 2981-2983(2007).
[5] H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, S. Kawakami. Self-collimating phenomena in photonic crystals. Appl. Phys. Lett., 74, 1212-1214(1999).
[6] H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, S. Kawakami. Superprism phenomena in photonic crystals. Phys. Rev. B, 58, R10096(1998).
[7] B. E. Saleh, M. C. Teich. Fundamentals of Photonics(2007).
[8] P. Cheben, R. Halir, J. H. Schmid, H. A. Atwater, D. R. Smith. Subwavelength integrated photonics. Nature, 560, 565-572(2018).
[9] F. Capolino. Theory and Phenomena of Metamaterials(2017).
[10] T. C. Choy. Effective Medium Theory: Principles and Applications(2015).
[11] M. He, H. Sun, Q. L. He. Topological insulator: spintronics and quantum computations. Front. Phys., 14, 43401(2019).
[12] S. Shen. Topological Insulators: Dirac Equation in Condensed Matter(2018).
[13] A. Bansil, H. Lin, T. Das. Colloquium: topological band theory. Rev. Mod. Phys., 88, 021004(2016).
[14] C.-K. Chiu, J. C. Y. Teo, A. P. Schnyder, S. Ryu. Classification of topological quantum matter with symmetries. Rev. Mod. Phys., 88, 035005(2016).
[15] H. Wang, S. K. Gupta, B. Xie, M. Lu. Topological photonic crystals: a review. Frontiers of Optoelectronics, 1-23(2020).
[16] T. Ozawa, H. M. Price, A. Amo, N. Goldman, M. Hafezi, L. Lu, M. C. Rechtsman, D. Schuster, J. Simon, O. Zilberberg, I. Carusotto. Topological photonics. Rev. Mod. Phys., 91, 015006(2019).
[17] M. Kim, Z. Jacob, J. Rho. Recent advances in 2D, 3D and higher-order topological photonics. Light Sci. Appl., 9, 1(2020).
[18] M. S. Rider, S. J. Palmer, S. R. Pocock, X. Xiao, P. A. Huidobro, V. Giannini. A perspective on topological nanophotonics: current status and future challenges. J. Appl. Phys., 125, 120901(2019).
[19] L. Lu, J. D. Joannopoulos, M. Soljačić. Topological photonics. Nat. Photonics, 8, 821-829(2014).
[20] A. B. Khanikaev, G. Shvets. Two-dimensional topological photonics. Nat. Photonics, 11, 763-773(2017).
[21] M. Xiao, Z. Q. Zhang, C. T. Chan. Surface impedance and bulk band geometric phases in one-dimensional systems. Phys. Rev. X, 4, 021017(2014).
[22] Q. Li, X. Jiang. Singularity induced topological transition of different dimensions in one synthetic photonic system. Opt. Commun., 440, 32-40(2019).
[23] Q. Li, Y. Zhang, X. Jiang. Two classes of singularities and novel topology in a specially designed synthetic photonic crystals. Opt. Express, 27, 4956-4975(2019).
[24] W. Zhu, Y.-Q. Ding, J. Ren, Y. Sun, Y. Li, H. Jiang, H. Chen. Zak phase and band inversion in dimerized one-dimensional locally resonant metamaterials. Phys. Rev. B, 97, 195307(2018).
[25] A. V. Poshakinskiy, A. N. Poddubny, M. Hafezi. Phase spectroscopy of topological invariants in photonic crystals. Phys. Rev. A, 91, 043830(2015).
[26] E. J. Bergholtz, J. C. Budich, F. K. Kunst. Exceptional topology of non-Hermitian systems. Rev. Mod. Phys., 93, 015005(2021).
[27] X. Cui, K. Ding, J.-W. Dong, C. T. Chan. Exceptional points and their coalescence of PT-symmetric interface states in photonic crystals. Phys. Rev. B, 100, 115412(2019).
[28] W. Zhu, X. Fang, D. Li, Y. Sun, Y. Li, Y. Jing, H. Chen. Simultaneous observation of a topological edge state and exceptional point in an open and non-Hermitian acoustic system. Phys. Rev. Lett., 121, 124501(2018).
[29] P. Markos, C. M. Soukoulis. Wave Propagation: From Electrons to Photonic Crystals and Left-Handed Materials(2008).
[30] 30For example, when frequency is close to zero, the reflection coefficient of an FP cavity is r=2i sin(kbdb)(ka2−kb2)(ka−kb)2 exp(ikbdb)−(ka+kb)2 exp(−ikbdb)≈2ikbdb(εb−εa)4εaεb=iωdb(εb−εa)2εac.
[31] L. Fan, Z. Chen, Y.-C. Deng, J. Ding, H. Ge, S.-Y. Zhang, Y.-T. Yang, H. Zhang. Nonlinear effects in a metamaterial with double negativity. Appl. Phys. Lett., 105, 041904(2014).
[32] J.-B. Xia. Quantum waveguide theory for mesoscopic structures. Phys. Rev. B, 45, 3593-3599(1992).
[33] Q. Wang, M. Xiao, H. Liu, S. Zhu, C. T. Chan. Optical interface states protected by synthetic Weyl points. Phys. Rev. X, 7, 031032(2017).
[34] P. A. Kalozoumis, G. Theocharis, V. Achilleos, S. Félix, O. Richoux, V. Pagneux. Finite-size effects on topological interface states in one-dimensional scattering systems. Phys. Rev. A, 98, 023838(2018).
[35] W. Kohn. Analytic properties of Bloch waves and Wannier functions. Phys. Rev., 115, 809-821(1959).
[36] K. Busch, C. Blum, A. M. Graham, D. Hermann, M. Köhl, P. Mack, C. Wolff. The photonic Wannier function approach to photonic crystal simulations: status and perspectives. J. Mod. Opt., 58, 365-383(2011).
[37] M. B. de Paz, M. G. Vergniory, D. Bercioux, A. Garca-Etxarri, B. Bradlyn. Engineering fragile topology in photonic crystals: topological quantum chemistry of light. Phys. Rev. Res., 1, 032005(2019).
[38] K.-M. Luk, K.-W. Leung. Dielectric Resonator Antennas(2003).
[39] X. Hu, C. T. Chan, J. Zi. Two-dimensional sonic crystals with Helmholtz resonators. Phys. Rev. E, 71, 055601(2005).