[1] [1] Akahane, Y., Asano, T., Song, B.S., Noda, S.: High-Q photonic nanocavity in a two-dimensional photonic crystal. Nature 425(6961), 944–947 (2003)

[2] [2] Morita, Y., Tsuji, Y., Hirayama, K.: Proposal for a compact resonant-coupling-type polarization splitter based on photonic crystal waveguide with absolute photonic bandgap. IEEE Photonics Technol. Lett. 20(2), 93–95 (2008)

[3] [3] Guo, H.M., Hong, X.R., Fan, H.R., Fu, R., Liu, X., Li, Y.X., Feng, S., Chen, X., Li, C.B., Wang, Y.Q.: Polarization-independent waveguides based on the complete band gap of the two-dimensional photonic crystal slabs. Laser Phys. 29(4), 046205 (2019)

[4] [4] Turduev, M., Giden, I.H., Kurt, H.: Modified annular photonic crystals with enhanced dispersion relations: polarization insensitive self-collimation and nanophotonic wire waveguide designs. J. Opt. Soc. Am. B Opt. Phys. 29(7), 1589–1598 (2012)

[5] [5] Tsuji, Y., Morita, Y., Hirayama, K.: Photonic crystal waveguide based on 2-D photonic crystal with absolute photonic band gap. IEEE Photonics Technol. Lett. 18(22), 2410–2412 (2006)

[6] [6] Kalra, Y., Sinha, R.K.: Design of ultra compact polarization splitter based on the complete photonic band gap. Opt. Quant. Electron. 37(9), 889–895 (2005)

[7] [7] Wen, F., David, S., Checoury, X., El Kurdi, M., Boucaud, P.: Two-dimensional photonic crystals with large complete photonic band gaps in both TE and TM polarizations. Opt. Express 16(16), 12278–12289 (2008)

[8] [8] Bayer, C., Straub, M.: Small-hole waveguides in silicon photonic crystal slabs: efficient use of the complete photonic bandgap. Appl. Opt. 48(27), 5050–5054 (2009)

[9] [9] Wu, H., Citrin, D.S., Jiang, L., Li, X.: Polarization-independent single-mode waveguiding with honeycomb photonic crystals. IEEE Photonics Technol. Lett. 27(8), 840–843 (2015)

[10] [10] Jalali, B.: Nonlinear optics in the mid-infrared. Nat. Photonics 4(8), 506–508 (2010)

[11] [11] Tan, D.T.H., Ooi, K.J.A., Ng, D.K.T.: Nonlinear optics on siliconrich nitride—a high nonlinear figure of merit CMOS platform. Photonics Res. 6(5), B50 (2018)

[12] [12] Moss, D.J., Morandotti, R., Gaeta, A.L., Lipson, M.: New CMOScompatible platforms based on silicon nitride and Hydex for nonlinear optics. Nat. Photonics 7(8), 597–607 (2013)

[13] [13] Matsushita, S., Suavet, O., Hashiba, H.: Full-photonic-bandgap structures for prospective dye-sensitized solar cells. Electrochim. Acta 55(7), 2398–2403 (2010)

[14] [14] Matsushita, S., Matsutani, A., Morii, Y., Kobayashi, D., Nishioka, K., Shoji, D., Sato, M., Tatsuma, T., Sannomiya, T., Isobe, T., Nakajima, A.: Calculation and fabrication of two-dimensional complete photonic bandgap structures composed of rutile TiO2 single crystals in air/liquid. J. Mater. Sci. 51(2), 1066–1073 (2016)

[15] [15] Spurny, M., O’Faolain, L., Bulla, D.A.P., Luther-Davies, B., Krauss, T.F.: Fabrication of low loss dispersion engineered chalcogenide photonic crystals. Opt. Express 19(3), 1991–1996 (2011)

[16] [16] Suzuki, K., Baba, T.: Nonlinear light propagation in chalcogenide photonic crystal slow light waveguides. Opt. Express 18(25), 26675–26685 (2010)

[17] [17] Grillet, C., Smith, C., Freeman, D., Madden, S., Luther-Davies, B., Magi, E., Moss, D., Eggleton, B.: Efficient coupling to chalcogenide glass photonic crystal waveguides via silica optical fiber nanowires. Opt. Express 14(3), 1070–1078 (2006)

[18] [18] Cerjan, A., Fan, S.H.: Complete photonic band gaps in supercell photonic crystals. Phys. Rev. A 96(5), 051802 (2017)

[19] [19] Rahim, A., Ryckeboer, E., Subramanian, A.Z., Clemmen, S., Kuyken, B., Dhakal, A., Raza, A., Hermans, A., Muneeb, M., Dhoore, S., Li, Y., Dave, U., Bienstman, P., Le Thomas, N., Roelkens, G., Van Thourhout, D., Helin, P., Severi, S., Rottenberg, X., Baets, R.: Expanding the silicon photonics portfolio with silicon nitride photonic integrated circuits. J. Lightwave Technol. 35(4), 639–649 (2017)

[20] [20] Lacava, C., Stankovic, S., Khokhar, A.Z., Bucio, T.D., Gardes, F.Y., Reed, G.T., Richardson, D.J., Petropoulos, P.: Si-rich silicon nitride for nonlinear signal processing applications. Sci. Rep. 7(1), 22 (2017)

[21] [21] Ooi, K.J., Ng, D.K., Wang, T., Chee, A.K., Ng, S.K., Wang, Q., Ang, L.K., Agarwal, A.M., Kimerling, L.C., Tan, D.T.: Pushing the limits of CMOS optical parametric amplifiers with USRN:Si7N3 above the two-photon absorption edge. Nat. Commun. 8, 13878 (2017)

[22] [22] Kawano, K.K.T.: Introduction to Optical Waveguide Analysis: Solving Maxwell’s Equations and the Schrodinger Equation. Wiley, Hoboken (2002)

[23] [23] Qiu, M.: Effective index method for heterostructure-slab-waveguide-based two-dimensional photonic crystals. Appl. Phys. Lett. 81(7), 1163–1165 (2002)

[24] [24] Qiu, M., Azizi, K., Karlsson, A., Swillo, M., Jaskorzynska, B.: Numerical studies of mode gaps and coupling efficiency for linedefect waveguides in two-dimensional photonic crystals. Phys. Rev. B 64(15), 155113 (2001)

[25] [25] Hou, J., Citrin, D.S., Cao, Z., Yang, C., Zhong, Z., Chen, S.: Slow light in square-lattice chalcogenide photonic crystal holey fibers. IEEE J. Sel. Top. Quantum Electron. 22(2), 271–278 (2016)

[26] [26] Johnson, S., Joannopoulos, J.: Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis. Opt. Express 8(3), 173–190 (2001)

[27] [27] Rezaei, B., Fathollahi Khalkhali, T., Soltani Vala, A., Kalafi, M.: Absolute band gap properties in two-dimensional photonic crystals composed of air rings in anisotropic tellurium background. Opt. Commun. 282(14), 2861–2869 (2009)

[28] [28] Proietti Zaccaria, R., Verma, P., Kawaguchi, S., Shoji, S., Kawata, S.: Manipulating full photonic band gaps in two dimensional birefringent photonic crystals. Opt. Express 16(19), 14812–14820 (2008)

[29] [29] Chau, Y.F., Wu, F.L., Jiang, Z.H., Li, H.Y.: Evolution of the complete photonic bandgap of two-dimensional photonic crystal. Opt. Express 19(6), 4862–4867 (2011)

[30] [30] Giden, I.H., Kurt, H.: Modified annular photonic crystals for enhanced band gap properties and iso-frequency contour engineering. Appl. Opt. 51(9), 1287–1296 (2012)

[31] [31] Ma, T.X., Wang, Y.S., Zhang, C.: Investigation of dual photonic and phononic bandgaps in two-dimensional phoxonic crystals with veins. Opt. Commun. 312, 68–72 (2014)

[32] [32] Shi, P., Huang, K., Li, Y.: Photonic crystal with complex unit cell for large complete band gap. Opt. Commun. 285(13–14), 3128–3132 (2012)

[33] [33] Wang, Y.F., Wang, Y.S., Su, X.X.: Large bandgaps of two-dimensional phononic crystals with cross-like holes. J. Appl. Phys. 110(11), 113520 (2011)

[34] [34] Luke, K., Dutt, A., Poitras, C.B., Lipson, M.: Overcoming Si3N4 film stress limitations for high quality factor ring resonators. Opt. Express 21(19), 22829–22833 (2013)

[35] [35] Tan, D.T.H., Ikeda, K., Sun, P.C., Fainman, Y.: Group velocity dispersion and self phase modulation in silicon nitride waveguides. Appl. Phys. Lett. 96(6), 061101 (2010)

[36] [36] Joannopoulos, J.D., Winn, J.N., Meade, R.D.: Photonic Crystal Molding the Flow of Light, 2nd edn. Princeton University, New Jersey (2008)

[37] [37] Oskooi, A.F., Roundy, D., Ibanescu, M., Bermel, P., Joannopoulos, J.D., Johnson, S.G.: MEEP: a flexible free-software package for electromagnetic simulations by the FDTD method. Comput. Phys. Commun. 181(3), 687–702 (2010)