Abstract

Artificial magnetism in optical frequencies is one of the most intriguing phenomena associated with metamaterials. The Mie resonance of high-index resonators provides an alternative approach to achieving optical magnetism with simple structures. Given the generally moderate refractive index exhibited by available materials at optical frequencies, Mie resonances usually suffer from coupling between the multipole modes, and the corresponding response of the Mie metasurfaces can be analyzed based on the concept of “meta-optics.” Here, we show that the optical magnetism in high-index resonators can be significantly enhanced by adding a highly reflective back mirror to the system. To highlight the transformative ability of this approach for improving meta-optics in the linear and nonlinear regimes, two proof-of-concept demonstrations are presented. Theoretical modeling reveals that low-pump power ultrafast nonlinear optics can be realized in periodic Si nanodisk arrays backed with a gold film, a system supporting guided resonance modes. Moreover, based on the enhanced magnetism of individual high-index resonators, a pair of silicon cuboids is demonstrated as a magnetic antenna for directional excitation of surface plasmon waves. The interference-enhanced magnetism of high-index resonators provides a disruptive technology for enabling meta-optics comprising ultracompact, high-speed, and power-efficient photonic devices.

© 2019 Chinese Laser Press

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2018 (9)

Y. Kivshar, “All-dielectric meta-optics and non-linear nanophotonics,” Natl. Sci. Rev. 5, 144–158 (2018).
[Crossref]

X. Luo, D. Tsai, M. Gu, and M. Hong, “Subwavelength interference of light on structured surfaces,” Adv. Opt. Photon. 10, 757–842 (2018).
[Crossref]

H. Sugimoto and M. Fujii, “Broadband dielectric-metal hybrid nanoantenna: silicon nanoparticle on a mirror,” ACS Photon. 5, 1986–1993 (2018).
[Crossref]

F. Deng, H. Liu, and S. Lan, “Metal substrate-induced line width compression in the magnetic dipole resonance of a silicon nanosphere illuminated by a focused azimuthally polarized beam,” Nanoscale Res. Lett. 13, 395 (2018).
[Crossref]

F. Di Mei, L. Falsi, M. Flammini, D. Pierangeli, P. Di Porto, A. J. Agranat, and E. DelRe, “Giant broadband refraction in the visible in a ferroelectric perovskite,” Nat. Photonics 12, 734–738 (2018).
[Crossref]

Y. Horie, A. Arbabi, E. Arbabi, S. M. Kamali, and A. Faraon, “High-speed, phase-dominant spatial light modulation with silicon-based active resonant antennas,” ACS Photon. 5, 1711–1717 (2018).
[Crossref]

S. Chen, M. Rahmani, K. F. Li, A. Miroshnichenko, T. Zentgraf, G. Li, D. Neshev, and S. Zhang, “Third harmonic generation enhanced by multipolar interference in complementary silicon metasurfaces,” ACS Photon. 5, 1671–1675 (2018).
[Crossref]

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

L. Wang, S. Kruk, K. Koshelev, I. Kravchenko, B. Luther-Davies, and Y. Kivshar, “Nonlinear wavefront control with all-dielectric metasurfaces,” Nano Lett. 18, 3978–3984 (2018).
[Crossref]

2017 (5)

S. V. Makarov, M. I. Petrov, U. Zywietz, V. Milichko, D. Zuev, N. Lopanitsyna, A. Kuksin, I. Mukhin, G. Zograf, E. Ubyivovk, D. A. Smirnova, S. Starikov, B. N. Chichkov, and Y. S. Kivshar, “Efficient second-harmonic generation in nanocrystalline silicon nanoparticles,” Nano Lett. 17, 3047–3053 (2017).
[Crossref]

G. Della Valle, B. Hopkins, L. Ganzer, T. Stoll, M. Rahmani, S. Longhi, Y. S. Kivshar, C. De Angelis, D. N. Neshev, and G. Cerullo, “Nonlinear anisotropic dielectric metasurfaces for ultrafast nanophotonics,” ACS Photon. 4, 2129–2136 (2017).
[Crossref]

M. Rahmani, L. Xu, A. E. Miroshnichenko, A. Komar, R. Camacho-Morales, H. Chen, Y. Zárate, S. Kruk, G. Zhang, D. N. Neshev, and Y. S. Kivshar, “Reversible thermal tuning of all-dielectric metasurfaces,” Adv. Funct. Mater. 27, 1700580 (2017).
[Crossref]

L. Kang, S. P. Rodrigues, M. Taghinejad, S. Lan, K.-T. Lee, Y. Liu, D. H. Werner, A. Urbas, and W. Cai, “Preserving spin states upon reflection: linear and nonlinear responses of a chiral meta-mirror,” Nano Lett. 17, 7102–7109 (2017).
[Crossref]

S. Kruk and Y. Kivshar, “Functional meta-optics and nanophotonics governed by Mie resonances,” ACS Photon. 4, 2638–2649 (2017).
[Crossref]

2016 (5)

A. I. Kuznetsov, A. E. Miroshnichenko, M. L. Brongersma, Y. S. Kivshar, and B. Luk’yanchuk, “Optically resonant dielectric nanostructures,” Science 354, aag2472 (2016).
[Crossref]

Z. Ma, S. M. Hanham, P. Albella, B. Ng, H. T. Lu, Y. Gong, S. A. Maier, and M. Hong, “Terahertz all-dielectric magnetic mirror metasurfaces,” ACS Photon. 3, 1010–1018 (2016).
[Crossref]

H.-T. Chen, A. J. Taylor, and N. Yu, “A review of metasurfaces: physics and applications,” Rep. Prog. Phys. 79, 076401 (2016).
[Crossref]

D. G. Baranov, S. V. Makarov, V. A. Milichko, S. I. Kudryashov, A. E. Krasnok, and P. A. Belov, “Nonlinear transient dynamics of photoexcited resonant silicon nanostructures,” ACS Photon. 3, 1546–1551 (2016).
[Crossref]

L. Liu, L. Kang, T. S. Mayer, and D. H. Werner, “Hybrid metamaterials for electrically triggered multifunctional control,” Nat. Commun. 7, 13236 (2016).
[Crossref]

2015 (4)

Y. Yang, W. Wang, A. Boulesbaa, I. I. Kravchenko, D. P. Briggs, A. Puretzky, D. Geohegan, and J. Valentine, “Nonlinear Fano-resonant dielectric metasurfaces,” Nano Lett. 15, 7388–7393 (2015).
[Crossref]

M. R. Shcherbakov, P. P. Vabishchevich, A. S. Shorokhov, K. E. Chong, D.-Y. Choi, I. Staude, A. E. Miroshnichenko, D. N. Neshev, A. A. Fedyanin, and Y. S. Kivshar, “Ultrafast all-optical switching with magnetic resonances in nonlinear dielectric nanostructures,” Nano Lett. 15, 6985–6990 (2015).
[Crossref]

X. Luo, “Principles of electromagnetic waves in metasurfaces,” Sci. China Phys. Mech. Astron. 58, 594201 (2015).
[Crossref]

Q. Zhao, Z. Xiao, F. Zhang, J. Ma, M. Qiao, Y. Meng, C. Lan, B. Li, J. Zhou, P. Zhang, N.-H. Shen, T. Koschny, and C. M. Soukoulis, “Tailorable zero-phase delay of subwavelength particles toward miniaturized wave manipulation devices,” Adv. Mater. 27, 6187–6194 (2015).
[Crossref]

2014 (6)

L. Kang, Y. Cui, S. Lan, S. P. Rodrigues, M. L. Brongersma, and W. Cai, “Electrifying photonic metamaterials for tunable nonlinear optics,” Nat. Commun. 5, 4680 (2014).
[Crossref]

M. Esfandyarpour, E. C. Garnett, Y. Cui, M. D. McGehee, and M. L. Brongersma, “Metamaterial mirrors in optoelectronic devices,” Nat. Nanotechnol. 9, 542–547 (2014).
[Crossref]

S. Liu, M. B. Sinclair, T. S. Mahony, Y. C. Jun, S. Campione, J. Ginn, D. A. Bender, J. R. Wendt, J. F. Ihlefeld, P. G. Clem, J. B. Wright, and I. Brener, “Optical magnetic mirrors without metals,” Optica 1, 250–256 (2014).
[Crossref]

J. R. Piper and S. Fan, “Total absorption in a graphene monolayer in the optical regime by critical coupling with a photonic crystal guided resonance,” ACS Photon. 1, 347–353 (2014).
[Crossref]

Y. Yang, I. I. Kravchenko, D. P. Briggs, and J. Valentine, “All-dielectric metasurface analogue of electromagnetically induced transparency,” Nat. Commun. 5, 5753 (2014).
[Crossref]

A. Pors, M. G. Nielsen, T. Bernardin, J.-C. Weeber, and S. I. Bozhevolnyi, “Efficient unidirectional polarization-controlled excitation of surface plasmon polaritons,” Light Sci. Appl. 3, e197 (2014).
[Crossref]

2013 (5)

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

X. Liu, Q. Zhao, C. Lan, and J. Zhou, “Isotropic Mie resonance-based metamaterial perfect absorber,” Appl. Phys. Lett. 103, 031910 (2013).
[Crossref]

Y. H. Fu, A. I. Kuznetsov, A. E. Miroshnichenko, Y. F. Yu, and B. Luk’yanchuk, “Directional visible light scattering by silicon nanoparticles,” Nat. Commun. 4, 1527 (2013).
[Crossref]

S. Person, M. Jain, Z. Lapin, J. J. Sáenz, G. Wicks, and L. Novotny, “Demonstration of zero optical backscattering from single nanoparticles,” Nano Lett. 13, 1806–1809 (2013).
[Crossref]

I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, S. Liu, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, I. Brener, and Y. Kivshar, “Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks,” ACS Nano 7, 7824–7832 (2013).
[Crossref]

2012 (3)

Y. Cui, K. H. Fung, J. Xu, H. Ma, Y. Jin, S. He, and N. X. Fang, “Ultrabroadband light absorption by a sawtooth anisotropic metamaterial slab,” Nano Lett. 12, 1443–1447 (2012).
[Crossref]

H. Yang, D. Zhao, S. Chuwongin, J.-H. Seo, W. Yang, Y. Shuai, J. Berggren, M. Hammar, Z. Ma, and W. Zhou, “Transfer-printed stacked nanomembrane lasers on silicon,” Nat. Photonics 6, 615–620 (2012).
[Crossref]

Y. Liu, S. Palomba, Y. Park, T. Zentgraf, X. Yin, and X. Zhang, “Compact magnetic antennas for directional excitation of surface plasmons,” Nano Lett. 12, 4853–4858 (2012).
[Crossref]

2011 (2)

J. Chen, Z. Li, S. Yue, and Q. Gong, “Highly efficient all-optical control of surface-plasmon-polariton generation based on a compact asymmetric single slit,” Nano Lett. 11, 2933–2937 (2011).
[Crossref]

C. M. Soukoulis and M. Wegener, “Past achievements and future challenges in the development of three-dimensional photonic metamaterials,” Nat. Photonics 5, 523–530 (2011).
[Crossref]

2010 (1)

N. Liu, M. Mesch, T. Weiss, M. Hentschel, and H. Giessen, “Infrared perfect absorber and its application as plasmonic sensor,” Nano Lett. 10, 2342–2348 (2010).
[Crossref]

2009 (2)

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. von Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325, 1513–1515 (2009).
[Crossref]

Q. Zhao, J. Zhou, F. Zhang, and D. Lippens, “Mie resonance-based dielectric metamaterials,” Mater. Today 12, 60–69 (2009).
[Crossref]

2008 (1)

Q. Zhao, L. Kang, B. Du, H. Zhao, Q. Xie, X. Huang, B. Li, J. Zhou, and L. Li, “Experimental demonstration of isotropic negative permeability in a three-dimensional dielectric composite,” Phys. Rev. Lett. 101, 027402 (2008).
[Crossref]

2007 (2)

V. M. Shalaev, “Optical negative-index metamaterials,” Nat. Photonics 1, 41–48 (2007).
[Crossref]

F. López-Tejeira, S. G. Rodrigo, L. Martín-Moreno, F. J. García-Vidal, E. Devaux, T. W. Ebbesen, J. R. Krenn, I. P. Radko, S. I. Bozhevolnyi, M. U. González, J. C. Weeber, and A. Dereux, “Efficient unidirectional nanoslit couplers for surface plasmons,” Nat. Phys. 3, 324–328 (2007).
[Crossref]

2006 (2)

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977–980 (2006).
[Crossref]

M. W. Klein, C. Enkrich, M. Wegener, and S. Linden, “Second-harmonic generation from magnetic metamaterials,” Science 313, 502–504 (2006).
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2005 (1)

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Figures (5)

Fig. 1.
Fig. 1. Meta-optics based on Si resonators on a plasmonic substrate. (a) Illustration of a unit cell of the metasurface consisting of an array of a-Si:H nanodisks on top of an optically thick Au ground plane. Geometrical parameters: P=720  nm, D=450  nm, and h=385  nm. (b) Schematic of the proposed meta-optical systems with finite array size, in which square arrays having m×m a-Si:H nanodisk elements are located on top of an infinite Au substrate. (c) Calculated magnetic field (|H|) obtained from a magnetic probe located at the center of the central resonator for a series of array sizes used in numerical simulations. The gray dashed line is used to guide the eye. (d) Q-factor and the maximum enhancement factor |H|max as functions of the array size. The corresponding values in the periodic case are illustrated as well. (e)–(h) Calculated magnetic field and electric field vector distribution in the yz plane, in the case of m=1, 9, and 15 as well as the periodic structure at the peak frequency identified in (c).
Fig. 2.
Fig. 2. All-optical ultrafast modulation enabled by critical coupling with the guided resonance of meta-optical systems. (a) Schematic of the unit cell used in numerical simulations. The geometrical parameters are the same as those used in Fig. 1(a). The ultrafast nonlinear responses of the proposed metasurface are obtained by implementing the theoretical model presented in Ref. [38]. (b) Transient absolute reflectance modulation (ΔR) under pumping at an 800 nm wavelength with a pump fluence of 0.1  mJ/cm2. The pump intensity is 10% of that used in Ref. [38]. For clarity, the results around the resonance are enlarged and shown on the right (dashed-green box). The simulated static reflectance and absorption spectra are shown in the inset. (c) Relative differential reflectance (ΔR/R) at a few wavelengths of interest near the resonance.
Fig. 3.
Fig. 3. Polarization sensitive ultrafast modulation based on Si nanodisks with an elliptical cross-section. (a) Schematic of the unit cell used in numerical simulations. The major and minor axes of the elliptical cross-section are 500 and 450 nm, respectively. (b) The cross- and co-polarization reflectance spectra when the metasurface is illuminated by a y-polarized wave. Inset indicates the orientation of the Si nanodisk in the xy plane. Calculated magnetic field (normalized to that of the incident wave) and its vector distribution in a plane cut across the middle of the resonator at the two resonance wavelengths (bottom). Transient absolute reflectance modulation for (c) the co-polarization reflected wave (ΔRyy) and (f) the cross-polarization reflected wave (ΔRxy) under pumping at an 800 nm wavelength with a pump fluence of 0.1  mJ/cm2. Relative differential reflectance (d), (e) (ΔRyy/Ryy) and (g) (ΔRxy/Rxy) at a few wavelengths of interest.
Fig. 4.
Fig. 4. Exploiting the magnetic response in individual high-index resonators for excitation of SPPs. (a) Schematic of the meta-optical system that includes a Si cuboid located on a gold substrate. Around the magnetic Mie resonance of the resonator, SPPs primarily propagating along the +y and y directions will be excited on the surface of the gold substrate. A y-polarized plane wave normally illuminates the resonator from the top. A magnetic (H) field probe is placed in the center of the cuboid, and an electric field probe is placed 10 nm above the gold surface at y=5  μm. (b) Magnitude of Ez detected at the E-field probe and (c) magnitude and (d) phase of Hx detected at the H-field probe, when the SP wave is excited by a Si cuboid of two distinct geometries (Cuboid A: l=400  nm, w=200  nm; Cuboid B: l=480  nm, w=240  nm). For comparison purposes, the results based on a glass cuboid of the same dimensions are shown in (b)–(d) as well (dashed curves). (e), (f) The magnetic field distribution for both excitation systems at a wavelength where |Ez| peaks. The electric field distribution of SPPs excited on the gold surface (g) by Cuboid A and (h) by Cuboid B.
Fig. 5.
Fig. 5. Directional excitation of SPPs using a pair of high-index resonators. (a) Schematic of the meta-optical system for directional generation of SPPs. A y-polarized plane wave normally illuminates the resonators from the top. To monitor the excited SP waves, two electric field probes are placed 10 nm above the gold surface at y=5 and +5  μm, respectively. (b) |Ez| detected at the two E-field probes and, (c) the corresponding ratio between |Ez| at the two probes (|Ez|probe1/|Ez|probe2), when the two cuboids are separated by a series of distances (Dis). (d) |Ez|2 distribution on an imaginary circle (with a radius of 10 μm) at a wavelength of 1636 nm when Dis=450  nm and (e) the corresponding electric field distribution of SPPs excited on the gold surface. (f)–(h) |Ez|2 distributions corresponding to the |Ez| ratio peaks in (c) on the imaginary circle.