Band dynamics accompanied by bound states in the continuum at the third-order Γ point in leaky-mode photonic lattices

Sun-Goo Lee; Seong-Han Kim; Chul-Sik Kee

doi:10.1364/PRJ.417150

[1] A. V. Kildishev, A. Boltasseva, V. M. Shalaev. Planar photonics with metasurfaces. Science, 339, 1232009(2013).

[2] N. Yu, F. Capasso. Flat optics with designer metasurfaces. Nat. Mater., 13, 139-150(2014).

[3] S. Sun, Q. He, J. Hao, S. Xiao, L. Zhou. Electromagnetic metasurfaces: physics and applications. Adv. Opt. Photon., 11, 380-479(2019).

[4] A. Arbabi, Y. Horie, M. Bagheri, A. Faraon. Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission. Nat. Nanotechnol., 10, 937-943(2015).

[5] A. M. H. Wong, G. V. Eleftheriades. Perfect anomalous reflection with a bipartite Huygens’ metasurface. Phys. Rev. X, 8, 011036(2018).

[6] J. D. Joannopoulos, R. D. Meade, J. N. Winn. Photonic Crystals: Molding the Flow of Light(1995).

[7] G. Johnson, S. Fan, P. Villeneuve, J. D. Joannopoulos, L. Kolodziejski. Guided modes in photonic crystal slabs. Phys. Rev. B, 60, 5751-5758(1999).

[8] Y. H. Ko, R. Magnusson. Wideband dielectric metamaterial reflectors: Mie scattering or leaky Bloch mode resonance?. Optica, 5, 289-294(2018).

[9] R. Magnusson. Wideband reflectors with zero-contrast gratings. Opt. Lett., 39, 4337-4340(2014).

[10] J. W. Yoon, K. J. Lee, R. Magnusson. Ultra-sparse dielectric nanowire grids as wideband reflectors and polarizers. Opt. Express, 23, 28849-28856(2015).

[11] W. Suh, S. Fan. Mechanically switchable photonic crystal filter with either all-pass transmission or flat-top reflection characteristics. Opt. Lett., 28, 1763-1765(2003).

[12] M. Niraula, J. W. Yoon, R. Magnusson. Single-layer optical bandpass filter technology. Opt. Lett., 40, 5062-5065(2015).

[13] K. Kawanishi, A. Shimatani, K. J. Lee, J. Inoue, S. Ura, R. Magnusson. Cross-stacking of guided-mode resonance gratings for polarization-independent flat-top filtering. Opt. Lett., 45, 312-314(2020).

[14] K. J. Lee, J. Giese, L. Ajayi, R. Magnusson, E. Johnson. Resonant grating polarizers made with silicon nitride, titanium dioxide, and silicon: design, fabrication, and characterization. Opt. Express, 22, 9271-9281(2014).

[15] H. Hemmati, P. Bootpakdeetam, R. Magnusson. Metamaterial polarizer providing principally unlimited extinction. Opt. Lett., 44, 5630-5633(2019).

[16] A. Kodigala, T. Lepetit, Q. Gu, B. Bahari, Y. Fainman, B. Kanté. Lasing action from photonic bound states in continuum. Nature, 541, 196-199(2017).

[17] S. T. Ha, Y. H. Fu, N. K. Emani, Z. Pan, R. M. Bakker, R. Paniagua-Domínguez, A. I. Kuznetsov. Directional lasing in resonant semiconductor nanoantenna arrays. Nat. Nanotechnol., 13, 1042-1047(2018).

[18] Y. Liu, W. Zhou, Y. Sun. Optical refractive index sensing based on high-Q bound states in the continuum in free-space coupled photonic crystal slabs. Sensors, 17, 1861(2017).

[19] M. G. Abdallah, J. A. Buchanan-Vega, K. J. Lee, B. R. Wenner, J. W. Allen, M. S. Allen, S. Gimlin, D. W. Weidanz, R. Magnusson. Quantification of neuropeptide Y with picomolar sensitivity enabled by guided-mode resonance biosensors. Sensors, 20, 126(2019).

[20] Y. Yang, C. Peng, Y. Liang, Z. Li, S. Noda. Analytical perspective for bound states in the continuum in photonic crystal slabs. Phys. Rev. Lett., 113, 037401(2014).

[21] Y. Plotnik, O. Peleg, F. Dreisow, M. Heinrich, S. Nolte, A. Szameit, M. Segev. Experimental observation of optical bound states in the continuum. Phys. Rev. Lett., 107, 183901(2011).

[22] C. W. Hsu, B. Zhen, A. D. Stone, J. D. Joannopoulos, M. Soljačić. Bound states in the continuum. Nat. Rev. Mater., 1, 16048(2016).

[23] K. Koshelev, G. Favraud, A. Bogdanov, Y. Kivshar, A. Fratalocchi. Nonradiating photonics with resonant dielectric nanostructures. Nanophotonics, 8, 725-745(2019).

[24] A. I. Ovcharenko, C. Blanchard, J.-P. Hugonin, C. Sauvan. Bound states in the continuum in symmetric and asymmetric photonic crystal slabs. Phys. Rev. B, 101, 155303(2020).

[25] S. Sun, Y. Ding, H. Li, P. Hu, C.-W. Cheng, Y. Sang, F. Cao, Y. Hu, A. Alù, D. Liu, Z. Wang, S. Gwo, D. Han, J. Shi. Tunable plasmonic bound states in the continuum in the visible range. Phys. Rev. B, 103, 045416(2021).

[26] B. Zhen, C. W. Hsu, L. Lu, A. D. Stone, M. Soljačić. Topological nature of optical bound states in the continuum. Phys. Rev. Lett., 113, 257401(2014).

[27] H. M. Doeleman, F. Monticone, W. Hollander, A. Alù, A. F. Koenderink. Experimental observation of a polarization vortex at an optical bound state in the continuum. Nat. Photonics, 12, 397-401(2018).

[28] Y.-X. Xiao, G. Ma, Z.-Q. Zhang, C. T. Chan. Topological subspace-induced bound state in the continuum. Phys. Rev. Lett., 118, 166803(2017).

[29] K. Koshelev, S. Kruk, E. Melik-Gaykazyan, H.-H. Choi, A. Bogdanov, H.-G. Park, Y. Kivshar. Subwavelength dielectric resonators for nonlinear nanophotonics. Science, 367, 288-292(2020).

[30] S.-G. Lee, S. H. Kim, K. J. Kim, C. S. Kee. Polarization-independent electromagnetically induced transparency-like transmission in coupled guided-mode resonance structures. Appl. Phys. Lett., 110, 111106(2017).

[31] K. Koshelev, S. Lepeshov, M. Liu, A. Bogdanov, Y. Kivshar. Asymmetric metasurfaces with high-Q resonances governed by bound states in the continuum. Phys. Rev. Lett., 121, 193903(2018).

[32] D. R. Abujetas, N. van Hoof, S. ter Huurne, J. G. Rivas, J. A. Sánchez-Gil. Spectral and temporal evidence of robust photonic bound states in the continuum on terahertz metasurfaces. Optica, 6, 996-1001(2019).

[33] D. C. Marinica, A. G. Borisov, S. V. Shabanov. Bound states in the continuum in photonics. Phys. Rev. Lett., 100, 183902(2008).

[34] C. W. Hsu, B. Zhen, J. Lee, S.-L. Chua, S. G. Johnson, J. D. Joannopoulos, M. Soljačić. Observation of trapped light within the radiation continuum. Nature, 499, 188-191(2013).

[35] S.-G. Lee, R. Magnusson. Band flips and bound-state transitions in leaky-mode photonic lattices. Phys. Rev. B, 99, 045304(2019).

[36] D. Rosenblatt, A. Sharon, A. A. Friesem. Resonant grating waveguide structure. IEEE J. Quantum Electron., 33, 2038-2059(1997).

[37] S. Lee, S. Kim, C. Kee, R. Magnusson. Polarization-differentiated band dynamics of resonant leaky modes at the lattice Γ point. Opt. Express, 28, 39453-39462(2020).

[38] R. F. Kazarinov, C. H. Henry. Second-order distributed feedback lasers with mode selection provided by first-order radiation loss. IEEE J. Quantum Electron., 21, 144-150(1985).

[39] T. Ochiai, K. Sakoda. Dispersion relation and optical transmittance of a hexagonal photonic crystal slab. Phys. Rev. B, 63, 125107(2001).

[40] S. Fan, J. D. Joannopoulos. Analysis of guided resonances in photonic crystal slabs. Phys. Rev. B, 65, 235112(2002).

[41] Y. Ding, R. Magnusson. Band gaps and leaky-wave effects in resonant photonic-crystal waveguides. Opt. Express, 15, 680-694(2007).

[42] R. Magnusson, M. Shokooh-Saremi. Physical basis for wideband resonant reflectors. Opt. Express, 16, 3456-3462(2008).

[43] W. Suh, Z. Wang, S. Fan. Temporal coupled-mode theory and the presence of non-orthogonal modes in lossless multimode cavities. IEEE J. Quantum Electron., 40, 1511-1518(2004).

[44] X. Zhao, C. Chen, K. Kaj, I. Hammock, Y. Huang, R. Averitt, X. Zhang. Terahertz investigation of bound states in the continuum of metallic metasurfaces. Optica, 7, 1548-1554(2020).

[45] A. Yariv, P. Yeh. Optical Waves in Crystals(1984).

[46] K. Inoue, K. Ohtaka. Photonic Crystals: Physics, Fabrication and Applications(2004).

[47] S.-G. Lee, R. Magnusson. Band dynamics of leaky-mode photonic lattices. Opt. Express, 27, 18180-18189(2019).

[48] J. Jin, X. Yin, L. Ni, M. Soljačić, B. Zhen, C. Peng. Topologically enabled ultrahigh-Q guided resonances robust to out-of-plane scattering. Nature, 574, 501-504(2019).

[49] S.-G. Lee, S. H. Kim, C. S. Kee. Metasurfaces with bound states in the continuum enabled by eliminating first Fourier harmonic component in lattice parameters. Phys. Rev. Lett., 126, 013601(2021).

[50] M. Minkov, I. A. Williamson, M. Xiao, S. Fan. Zero-index bound states in the continuum. Phys. Rev. Lett., 121, 263901(2018).

[51] R. W. Ziolkowski. Propagation in and scattering from a matched metamaterial having a zero index of refraction. Phys. Rev. E, 70, 046608(2004).

[52] A. Alù, M. G. Silveirinha, A. Salandrino, N. Engheta. Epsilon-near-zero metamaterials and electromagnetic sources: Tailoring the radiation phase pattern. Phys. Rev. B, 75, 155410(2007).

[53] I. Liberal, N. Engheta. Near-zero refractive index photonics. Nat. Photonics, 11, 149-158(2017).

[54] F. D. M. Haldane, S. Raghu. Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry. Phys. Rev. Lett., 100, 013904(2008).

[55] L. H. Wu, X. Hu. Scheme for achieving a topological photonic crystal by using dielectric material. Phys. Rev. Lett., 114, 223901(2015).

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

[57] X. Gao, C. W. Hsu, B. Zhen, X. Lin, J. D. Joannopoulos, M. Soljačić, H. Chen. Formation mechanism of guided resonances and bound states in the continuum in photonic crystal slabs. Sci. Rep., 6, 31908(2016).

[58] L. Ni, Z. Wang, C. Peng, Z. Li. Tunable optical bound states in the continuum beyond in-plane symmetry protection. Phys. Rev. B, 94, 245148(2016).

[59] S.-G. Lee, S. H. Kim, C. S. Kee. Bound states in the continuum (BIC) accompanied by avoided crossings in leaky-mode photonic lattices. Nanophotonics, 9, 4374-4380(2020).