Volume 14 Issue 4
Jul.  2021
Turn off MathJax
Article Contents
LIN Jing, LI Qi, QIU Meng, HE Qiong, ZHOU Lei. Coupling between Meta-atoms: a new degree of freedom in metasurfaces manipulating electromagnetic waves[J]. Chinese Optics, 2021, 14(4): 717-735. doi: 10.37188/CO.2021-0030
Citation: LIN Jing, LI Qi, QIU Meng, HE Qiong, ZHOU Lei. Coupling between Meta-atoms: a new degree of freedom in metasurfaces manipulating electromagnetic waves[J]. Chinese Optics, 2021, 14(4): 717-735. doi: 10.37188/CO.2021-0030

Coupling between Meta-atoms: a new degree of freedom in metasurfaces manipulating electromagnetic waves

doi: 10.37188/CO.2021-0030
Funds:  Supported by National Natural Science Foundation of China (No. 11674068, No. 11734007, No. 91850101)
More Information
  • Corresponding author: phzhou@fudan.edu.cn
  • Received Date: 30 Jan 2021
  • Rev Recd Date: 26 Feb 2021
  • Available Online: 12 May 2021
  • Publish Date: 01 Jul 2021
  • Nanophotonic systems have attracted tremendous attention due to their exotic abilities to freely control electromagnetic (EM) waves. In particular, much attention has been given to metasurfaces consisting of multiple plasmonic/dielectric meta-atoms coupled in different ways. Compared to simple systems containing only one type of resonator, coupled photonic systems exhibit more fascinating capabilities to manipulate EM waves. However, despite the great advances already achieved in experimental conditions, theoretical understandings of these complex systems are far from satisfactory. In this article, we summarize the theorized tools for developing nanophotonic systems including both coupled resonators and periodic metasurfaces. We aim to understand the EM properties in closed and open systems, and introduce methods of employing them to design new functional metasurfaces for various applications. We will mainly focus on works done in our own group and we hope that this short review can provide useful guidance and act as a reference for researchers in related fields.


  • loading
  • [1]
    SHELBY R A, SMITH D R, SCHULTZ S. Experimental verification of a negative index of refraction[J]. Science, 2001, 292(5514): 77-79.
    PENDRY J B. Negative refraction makes a perfect lens[J]. Physical Review Letters, 2000, 85(18): 3966-3969. doi: 10.1103/PhysRevLett.85.3966
    FANG N, LEE H, SUN CH, et al. Sub–diffraction-limited optical imaging with a silver superlens[J]. Science, 2005, 308(5721): 534-537. doi: 10.1126/science.1108759
    CAI W SH, CHETTIAR U K, KILDISHEV A V, et al. Optical cloaking with metamaterials[J]. Nature Photonics, 2007, 1(4): 224-227. doi: 10.1038/nphoton.2007.28
    YU N F, GENEVET P, KATS M A, et al. Light propagation with phase discontinuities: generalized laws of reflection and refraction[J]. Science, 2011, 334(6054): 333-337. doi: 10.1126/science.1210713
    CHEN W T, YANG K Y, WANG C M, et al. High-efficiency broadband meta-hologram with polarization-controlled dual images[J]. Nano Letters, 2014, 14(1): 225-230. doi: 10.1021/nl403811d
    YIN X B, YE Z L, RHO J, et al. Photonic spin Hall effect at metasurfaces[J]. Science, 2013, 339(6126): 1405-1407. doi: 10.1126/science.1231758
    ZHANG X Q, TIAN ZH, YUE W SH, et al. Broadband terahertz wave deflection based on C-shape complex metamaterials with phase discontinuities[J]. Advanced Materials, 2013, 25(33): 4567-4572. doi: 10.1002/adma.201204850
    KHORASANINEJAD M, CAPASSO F. Metalenses: versatile multifunctional photonic components[J]. Science, 2017, 358(6367): eaam8100. doi: 10.1126/science.aam8100
    SUN W J, HE Q, SUN SH L, et al. High-efficiency surface plasmon meta-couplers: concept and microwave-regime realizations[J]. Light:Science &Applications, 2016, 5(1): e16003.
    MAIER S A, KIK P G, ATWATER H A, et al. Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides[J]. Nature Materials, 2003, 2(4): 229-232. doi: 10.1038/nmat852
    MAIER S A, KIK P G, SWEATLOCK L A, et al. Energy transport in metal nanoparticle plasmon waveguides[J]. MRS Online Proceedings Library, 2003, 777(1): 71.
    LIU N, LANGGUTH L, WEISS T, et al. Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit[J]. Nature Materials, 2009, 8(9): 758-762. doi: 10.1038/nmat2495
    BAO K, MIRIN N A, NORDLANDER P. Fano resonances in planar silver nanosphere clusters[J]. Applied Physics A, 2010, 100(2): 333-339. doi: 10.1007/s00339-010-5861-3
    PRODAN E, RADLOFF C, HALAS N J, et al. A hybridization model for the plasmon response of complex nanostructures[J]. Science, 2003, 302(5644): 419-422. doi: 10.1126/science.1089171
    LIU H, LIU Y M, LI T, et al. Coupled magnetic plasmons in metamaterials[J]. Physica Status Solidi (B), 2009, 246(7): 1397-1406. doi: 10.1002/pssb.200844414
    FUNSTON A M, NOVO C, DAVIS T J, et al. Plasmon coupling of gold nanorods at short distances and in different geometries[J]. Nano Letters, 2009, 9(4): 1651-1658. doi: 10.1021/nl900034v
    NORDLANDER P, OUBRE C, PRODAN E, et al. Plasmon hybridization in nanoparticle dimers[J]. Nano Letters, 2004, 4(5): 899-903. doi: 10.1021/nl049681c
    SUH W, WANG ZH, FAN SH H. Temporal coupled-mode theory and the presence of non-orthogonal modes in lossless multimode cavities[J]. IEEE Journal of Quantum Electronics, 2004, 40(10): 1511-1518. doi: 10.1109/JQE.2004.834773
    FAN SH H, SUH W, JOANNOPOULOS J D. Temporal coupled-mode theory for the Fano resonance in optical resonators[J]. Journal of the Optical Society of America A, 2003, 20(3): 569-572. doi: 10.1364/JOSAA.20.000569
    GIANNINI V, FRANCESCATO Y, AMRANIA H, et al. Fano resonances in nanoscale plasmonic systems: a parameter-free modeling approach[J]. Nano Letters, 2011, 11(7): 2835-2840. doi: 10.1021/nl201207n
    FANO U. Effects of configuration interaction on intensities and phase shifts[J]. Physical Review, 1961, 124(6): 1866-1878. doi: 10.1103/PhysRev.124.1866
    DING F, PORS A, BOZHEVOLNYI S I. Gradient metasurfaces: a review of fundamentals and applications[J]. Reports on Progress in Physics, 2018, 81(2): 026401. doi: 10.1088/1361-6633/aa8732
    JACKSON J D. Classical Electrodynamics[M]. 3rd ed. New York: Wiley, 1999.
    PAPASIMAKIS N, FEDOTOV V A, MARINOV K, et al. Gyrotropy of a metamolecule: wire on a torus[J]. Physical Review Letters, 2009, 103(9): 093901. doi: 10.1103/PhysRevLett.103.093901
    DECKER M, STAUDE I, FALKNER M, et al. High-efficiency dielectric Huygens’ surfaces[J]. Advanced Optical Materials, 2015, 3(6): 813-820. doi: 10.1002/adom.201400584
    BOHREN C F, HUFFMAN D R. Absorption and Scattering of Light by Small Particles[M]. New York: John Wiley & Sons, 1983.
    HOLLOWAY C L, KUESTER E F, BAKER-JARVIS J, et al. A double negative (DNG) composite medium composed of magnetodielectric spherical particles embedded in a matrix[J]. IEEE Transactions on Antennas and Propagation, 2003, 51(10): 2596-2603. doi: 10.1109/TAP.2003.817563
    ZHAO Q, ZHOU J, ZHANG F L, et al. Mie resonance-based dielectric metamaterials[J]. Materials Today, 2009, 12(12): 60-69. doi: 10.1016/S1369-7021(09)70318-9
    DEVLIN R C, KHORASANINEJAD M, CHEN W T, et al. Broadband high-efficiency dielectric metasurfaces for the visible spectrum[J]. Proceedings of the National Academy of Sciences of the United States of America, 2016, 113(38): 10473-10478. doi: 10.1073/pnas.1611740113
    LIU N, LIU H, ZHU SH N, et al. Stereometamaterials[J]. Nature Photonics, 2009, 3(3): 157-162. doi: 10.1038/nphoton.2009.4
    BARANOV D G, MAKAROV S V, KRASNOK A E, et al. Tuning of near-and far-field properties of all‐dielectric dimer nanoantennas via ultrafast electron-hole plasma photoexcitation[J]. Laser &Photonics Reviews, 2016, 10(6): 1009-1015.
    PANIAGUA-DOMÍNGUEZ R, YU Y F, KHAIDAROV E, et al. A metalens with a near-unity numerical aperture[J]. Nano Letters, 2018, 18(3): 2124-2132. doi: 10.1021/acs.nanolett.8b00368
    ZHANG F, PU M B, LI X, et al. All‐dielectric metasurfaces for simultaneous giant circular asymmetric transmission and wavefront shaping based on asymmetric photonic spin–orbit interactions[J]. Advanced Functional Materials, 2017, 27(47): 1704295. doi: 10.1002/adfm.201704295
    LUO X G. Subwavelength artificial structures: opening a new era for engineering optics[J]. Advanced Materials, 2019, 31(4): 1804680. doi: 10.1002/adma.201804680
    DRAINE B T, FLATAU P J. Discrete-dipole approximation for scattering calculations[J]. Journal of the Optical Society of America A, 1994, 11(4): 1491-1499. doi: 10.1364/JOSAA.11.001491
    KELLY K L, CORONADO E, ZHAO L L, et al. The optical properties of metal nanoparticles: the influence of size, shape, and dielectric environment[J]. The Journal of Physical Chemistry B, 2003, 107(3): 668-677. doi: 10.1021/jp026731y
    MONTICONE F, ALÙ A. Metamaterial, plasmonic and nanophotonic devices[J]. Reports on Progress in Physics, 2017, 80(3): 036401. doi: 10.1088/1361-6633/aa518f
    ENGHETA N, SALANDRINO A, ALV A. Circuit elements at optical frequencies: nanoinductors, nanocapacitors, and nanoresistors[J]. Physical Review Letters, 2005, 95(9): 095504.
    SHI J W, MONTICONE F, ELIAS S, et al. Modular assembly of optical nanocircuits[J]. Nature Communications, 2014, 5: 3896. doi: 10.1038/ncomms4896
    RYBIN M V, FILONOV D S, BELOV P A, et al. Switching from visibility to invisibility via Fano resonances: theory and experiment[J]. Scientific Reports, 2015, 5(1): 1-6.
    LIMONOV M F, RYBIN M V, PODDUBNY A N, et al. Fano resonances in photonics[J]. Nature Photonics, 2017, 11(9): 543-554. doi: 10.1038/nphoton.2017.142
    JOANNOPOULOS J D, JOHNSON S G, WINN J N, et al.. Photonic Crystals: Molding the Flow of Light[M]. 2nd ed. Princeton: Princeton University Press, 2008, .
    GUPTA V P. Principles and Applications of Quantum Chemistry[M]. Amsterdam: Academic Press, 2016.
    LIDORIKIS E, SIGALAS M M, ECONOMOU E N, et al. Tight-binding parametrization for photonic band gap materials[J]. Physical Review Letters, 1998, 81(7): 1405.
    HARA Y, MUKAIYAMA T, TAKEDA K, et al. Heavy photon states in photonic chains of resonantly coupled cavities with supermonodispersive microspheres[J]. Physical Review Letters, 2005, 94(20): 203905. doi: 10.1103/PhysRevLett.94.203905
    NOTOMI M, KURAMOCHI E, TANABE T. Large-scale arrays of ultrahigh-Q coupled nanocavities[J]. Nature Photonics, 2008, 2(12): 741-747. doi: 10.1038/nphoton.2008.226
    BUSCH K, MINGALEEV S F, GARCIA-MARTIN A, et al. The Wannier function approach to photonic crystal circuits[J]. Journal of Physics:Condensed Matter, 2003, 15(30): R1233-R1256. doi: 10.1088/0953-8984/15/30/201
    LEUENBERGER D, FERRINI R, HOUDRÉ R. Ab initio tight-binding approach to photonic-crystal based coupled cavity waveguides[J]. Journal of Applied Physics, 2004, 95(3): 806-809. doi: 10.1063/1.1635668
    RAMAN A, FAN SH H. Photonic band structure of dispersive metamaterials formulated as a Hermitian eigenvalue problem[J]. Physical Review Letters, 2010, 104(8): 087401. doi: 10.1103/PhysRevLett.104.087401
    XI B, XU H, XIAO SH Y, et al. Theory of coupling in dispersive photonic systems[J]. Physical Review B, 2011, 83(16): 165115. doi: 10.1103/PhysRevB.83.165115
    XI B, QIU M, XIAO SH Y, et al. Effective model for plasmonic coupling: a rigorous derivation[J]. Physical Review B, 2014, 89(3): 035110. doi: 10.1103/PhysRevB.89.035110
    DAVIS T J, HENTSCHEL M, LIU N, et al. Analytical model of the three-dimensional plasmonic ruler[J]. ACS Nano, 2012, 6(2): 1291-8.
    BABA T. Slow light in photonic crystals[J]. Nature Photonics, 2008, 2(8): 465-473. doi: 10.1038/nphoton.2008.146
    PAPASIMAKIS N, ZHELUDEV N I. Metamaterial-induced transparency: sharp fano resonances and slow light[J]. Optics and Photonics News, 2009, 20(10): 22-27. doi: 10.1364/OPN.20.10.000022
    QIU M, JIA M, MA SH J, et al. Angular dispersions in terahertz metasurfaces: physics and applications[J]. Physical Review Applied, 2018, 9(5): 054050. doi: 10.1103/PhysRevApplied.9.054050
    HAO J M, WANG J, LIU X L, et al. High performance optical absorber based on a plasmonic metamaterial[J]. Applied Physics Letters, 2010, 96(25): 251104. doi: 10.1063/1.3442904
    LALANNE P, LEMERCIER-LALANNE D. On the effective medium theory of subwavelength periodic structures[J]. Journal of Modern Optics, 1996, 43(10): 2063-2085. doi: 10.1080/09500349608232871
    ZHANG X Y, LI Q, LIU F F, et al. Controlling angular dispersions in optical metasurfaces[J]. Light:Science &Applications, 2020, 9: 76.
    KRISTENSEN P T, HERRMANN K, INTRAVAIA F, et al. Modeling electromagnetic resonators using quasinormal modes[J]. Advances in Optics and Photonics, 2020, 12(3): 612-708. doi: 10.1364/AOP.377940
    CHING E S C, LEUNG P T, YOUNG K. Optical Processes in Microcavities-the Role of Quasi-Normal Modes[M]. CHANG R K, CAMPILLO A J. Optical Processes in Microcavities. Singapore: World Scientific, 1996.
    KRISTENSEN P T, DE LASSON J R, HEUCK M, et al. On the theory of coupled modes in optical cavity-waveguide structures[J]. Journal of Lightwave Technology, 2017, 35(19): 4247-4259. doi: 10.1109/JLT.2017.2714263
    TRØST KRISTENSEN P, HEUCK M, MØRK J. Optimal switching using coherent control[J]. Applied Physics Letters, 2013, 102(4): 041107. doi: 10.1063/1.4789372
    KRISTENSEN P T, DE LASSON J R, GREGERSEN N. Calculation, normalization, and perturbation of quasinormal modes in coupled cavity-waveguide systems[J]. Optics Letters, 2014, 39(22): 6359-6362. doi: 10.1364/OL.39.006359
    LIN J, QIU M, ZHANG X Y, et al. Tailoring the lineshapes of coupled plasmonic systems based on a theory derived from first principles[J]. Light:Science &Applications, 2020, 9: 158.
  • 加载中


    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索


    Article views(2315) PDF downloads(658) Cited by()
    Proportional views


    DownLoad:  Full-Size Img  PowerPoint