Abstract

The original Kerker effect was introduced for a hypothetical magnetic sphere, and initially it did not attract much attention due to a lack of magnetic materials required. Rejuvenated by the recent explosive development of the field of metamaterials and especially its core concept of optically-induced artificial magnetism, the Kerker effect has gained an unprecedented impetus and rapidly pervaded different branches of nanophotonics. At the same time, the concept behind the effect itself has also been significantly expanded and generalized. Here we review the physics and various manifestations of the generalized Kerker effects, including the progress in the emerging field of meta-optics that focuses on interferences of electromagnetic multipoles of different orders and origins. We discuss not only the scattering by individual particles and particle clusters, but also the manipulation of reflection, transmission, diffraction, and absorption for metalattices and metasurfaces, revealing how various optical phenomena observed recently are all ubiquitously related to the Kerker’s concept.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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F. Ding, A. Pors, and S. I. Bozhevolnyi, “Gradient metasurfaces: a review of fundamentals and applications,” Rep. Prog. Phys. 81, 026401 (2018).
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R. Alaee, C. Rockstuhl, and I. Fernandez-Corbaton, “An electromagnetic multipole expansion beyond the long-wavelength approximation,” Opt. Commun. 407, 17–21 (2018).
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R. Paniagua-Domínguez, Y. F. Yu, E. Khaidarov, S. Choi, V. Leong, R. M. Bakker, X. Liang, Y. H. Fu, V. Valuckas, L. A. Krivitsky, and A. I. Kuznetsov, “A metalens with a near-unity numerical aperture,” Nano Lett. 18, 2124–2132 (2018).
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P. K. Jha, N. Shitrit, J. Kim, X. Ren, Y. Wang, and X. Zhang, “Metasurface-mediated quantum entanglement,” ACS Photonics 5, 971–976 (2018).
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2017 (49)

L. Feng, R. El-Ganainy, and L. Ge, “Non-Hermitian photonics based on parity–time symmetry,” Nat. Photonics 11, 752–762 (2017).
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Á. I. Barreda, Y. Gutiérrez, J. M. Sanz, F. González, and F. Moreno, “Light guiding and switching using eccentric core-shell geometries,” Sci. Rep. 7, 11189 (2017).
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Y. Zhai, Y. Ma, S. N. David, D. Zhao, R. Lou, G. Tan, R. Yang, and X. Yin, “Scalable-manufactured randomized glass-polymer hybrid metamaterial for daytime radiative cooling,” Science 355, 1062–1066 (2017).
[Crossref] [PubMed]

A. B. Khanikaev and G. Shvets, “Two-dimensional topological photonics,” Nat. Photonics 11, 763–773 (2017).
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G. Li, S. Zhang, and T. Zentgraf, “Nonlinear photonic metasurfaces,” Nat. Rev. Mater. 2, 17010 (2017).
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E. Maguid, M. Yannai, A. Faerman, I. Yulevich, V. Kleiner, and E. Hasman, “Disorder-induced optical transition from spin Hall to random Rashba effect,” Science 358, 1411–1415 (2017).
[Crossref] [PubMed]

P. Lalanne and P. Chavel, “Metalenses at visible wavelengths: past, present, perspectives,” Laser Photonics Rev. 11, 1600295 (2017).
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M. Khorasaninejad and F. Capasso, “Metalenses: Versatile multifunctional photonic components,” Science 358, eaam8100 (2017).
[Crossref] [PubMed]

A. Arbabi, E. Arbabi, Y. Horie, S. M. Kamali, and A. Faraon, “Planar metasurface retroreflector,” Nat. Photonics 11, 415–420 (2017).
[Crossref]

D. Lin, M. Melli, E. Poliakov, P. S. Hilaire, S. Dhuey, C. Peroz, S. Cabrini, M. Brongersma, and M. Klug, “Optical metasurfaces for high angle steering at visible wavelengths,” Sci. Rep. 7, 2286 (2017).
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E. Khaidarov, H. Hao, R. Paniagua-Domínguez, Y. F. Yu, Y. H. Fu, V. Valuckas, S. L. K. Yap, Y. T. Toh, J. S. K. Ng, and A. I. Kuznetsov, “Asymmetric nanoantennas for ultrahigh angle broadband visible light bending,” Nano Lett. 17, 6267–6272 (2017).
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Y. Ra’di, D. L. Sounas, and A. Alù, “Metagratings: beyond the limits of graded metasurfaces for wave front control,” Phys. Rev. Lett. 119, 067404 (2017).
[Crossref]

H. Chalabi, Y. Ra’di, D. L. Sounas, and A. Alù, “Efficient anomalous reflection through near-field interactions in metasurfaces,” Phys. Rev. B 96, 075432 (2017).
[Crossref]

D. G. Baranov, A. Krasnok, T. Shegai, A. Alù, and Y. Chong, “Coherent perfect absorbers: linear control of light with light,” Nat. Rev. Mater. 2, 17064 (2017).
[Crossref]

N. Odebo Länk, R. Verre, P. Johansson, and M. Käll, “Large-scale silicon nanophotonic metasurfaces with polarization independent near-perfect absorption,” Nano Lett. 17, 3054–3060 (2017).
[PubMed]

R. Alaee, M. Albooyeh, and C. Rockstuhl, “Theory of metasurface based perfect absorbers,” J. Phys. D 50, 503002 (2017).
[Crossref]

Y. Yang, A. E. Miroshnichenko, S. V. Kostinski, M. Odit, P. Kapitanova, M. Qiu, and Y. S. Kivshar, “Multimode directionality in all-dielectric metasurfaces,” Phys. Rev. B 95, 165426 (2017).
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M. F. Limonov, M. V. Rybin, A. N. Poddubny, and Y. S. Kivshar, “Fano resonances in photonics,” Nat. Photonics 11, 543–554 (2017).
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Á. I. Barreda, H. Saleh, A. Litman, F. González, J.-M. Geffrin, and F. Moreno, “Electromagnetic polarization-controlled perfect switching effect with high-refractive-index dimers and the beam-splitter configuration,” Nat. Commun. 8, 1038 (2017).
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S. Liu, A. Vaskin, S. Campione, O. Wolf, M. B. Sinclair, J. Reno, G. A. Keeler, I. Staude, and I. Brener, “Huygens metasurfaces enabled by magnetic dipole resonance tuning in split dielectric nanoresonators,” Nano Lett. 17, 4297–4303 (2017).
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V. E. Babicheva and A. B. Evlyukhin, “Resonant lattice Kerker effect in metasurfaces with electric and magnetic optical responses,” Laser Photonics Rev. 11, 1700132 (2017).
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K. Chen, Y. Feng, F. Monticone, J. Zhao, B. Zhu, T. Jiang, L. Zhang, Y. Kim, X. Ding, S. Zhang, and et al., “A reconfigurable active huygens metalens,” Adv. Materials 29, 1606422 (2017).
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W. Liu, “Generalized magnetic mirrors,” Phys. Rev. Lett. 119, 123902 (2017).
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J. Y. Lee, A. E. Miroshnichenko, and R.-K. Lee, “Reexamination of Kerker’s conditions by means of the phase diagram,” Phys. Rev. A 96, 043846 (2017).
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Z. Xi and H. P. Urbach, “Magnetic dipole scattering from metallic nanowire for ultrasensitive deflection sensing,” Phys. Rev. Lett. 119, 053902 (2017).
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E. V. Melik-Gaykazyan, S. S. Kruk, R. Camacho-Morales, L. Xu, M. Rahmani, K. Zangeneh Kamali, A. Lamprianidis, A. E. Miroshnichenko, A. A. Fedyanin, D. N. Neshev, and Y. S. Kivshar, “Selective third-harmonic generation by structured light in Mie-resonant nanoparticles,” ACS Photonics 5, 728-733 (2017).
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W. Liu and Y. S. Kivshar, “Multipolar interference effects in nanophotonics,” Phil. Trans. R. Soc. A 375, 20160317 (2017).
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I. Staude and J. Schilling, “Metamaterial-inspired silicon nanophotonics,” Nat. Photonics 11, 274–284 (2017).
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Y. Kivshar and A. Miroshnichenko, “Meta-Optics with Mie resonances,” Opt. Photonics News 28, 24–31 (2017).
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S. Kruk and Y. Kivshar, “Functional meta-optics and nanophotonics governed by Mie resonances,” ACS Photonics 4, 2638–2649 (2017).
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Z.-J. Yang, R. Jiang, X. Zhuo, Y.-M. Xie, J. Wang, and H.-Q. Lin, “Dielectric nanoresonators for light manipulation,” Phys. Rep. 701, 1–50 (2017).
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A. L. Holsteen, S. Raza, P. Fan, P. G. Kik, and M. L. Brongersma, “Purcell effect for active tuning of light scattering from semiconductor optical antennas,” Science 358, 1407–1410 (2017).
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S. P. Gurunarayanan, N. Verellen, V. S. Zharinov, F. James Shirley, V. V. Moshchalkov, M. Heyns, J. Van de Vondel, I. P. Radu, and P. Van Dorpe, “Electrically driven unidirectional optical nanoantennas,” Nano Lett. 17, 7433–7439 (2017).
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J. Yan, C. Ma, P. Liu, C. Wang, and G. Yang, “Generating scattering dark states through the Fano interference between excitons and an individual silicon nanogroove,” Light Sci. Appl. 6, e16197 (2017).
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M. Wuttig, H. Bhaskaran, and T. Taubner, “Phase-change materials for non-volatile photonic applications,” Nat. Photonics 11, 465–476 (2017).
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V. Rutckaia, F. Heyroth, A. Novikov, M. Shaleev, M. Petrov, and J. Schilling, “Quantum dot emission driven by mie resonances in silicon nanostructures,” Nano Lett. 17, 6886–6895 (2017).
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D. G. Baranov, R. S. Savelev, S. V. Li, A. E. Krasnok, and A. Alù, “Modifying magnetic dipole spontaneous emission with nanophotonic structures,” Laser Photonics Rev. 11, 1600268 (2017).
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A. Garcia-Etxarri, “Optical polarization Möbius strips on all-dielectric optical scatterers,” ACS Photonics 4, 1159–1164 (2017).
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D. Gao, W. Ding, M. Nieto-Vesperinas, X. Ding, M. Rahman, T. Zhang, C. Lim, and C.-W. Qiu, “Optical manipulation from the microscale to the nanoscale: fundamentals, advances and prospects,” Light Sci. Appl. 6, e17039 (2017).
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I. S. Sinev, A. A. Bogdanov, F. E. Komissarenko, K. S. Frizyuk, M. I. Petrov, I. S. Mukhin, S. V. Makarov, A. K. Samusev, A. V. Lavrinenko, and I. V. Iorsh, “Chirality driven by magnetic dipole response for demultiplexing of surface waves,” Laser Photonics Rev. 11, 1700168 (2017).
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M. F. Picardi, A. Manjavacas, A. V. Zayats, and F. J. Rodríguez-Fortuño, “Unidirectional evanescent-wave coupling from circularly polarized electric and magnetic dipoles: An angular spectrum approach,” Phys. Rev. B 95, 245416 (2017).
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L. Wei, N. Bhattacharya, and H. P. Urbach, “Adding a spin to Kerker’s condition: angular tuning of directional scattering with designed excitation,” Opt. Lett. 42, 1776–1779 (2017).
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H. Liu, M. Panmai, Y. Peng, and S. Lan, “Optical pulling and pushing forces exerted on silicon nanospheres with strong coherent interaction between electric and magnetic resonances,” Opt. Express 25, 12357–12371 (2017).
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2016 (16)

J. van de Groep, T. Coenen, S. A. Mann, and A. Polman, “Direct imaging of hybridized eigenmodes in coupled silicon nanoparticles,” Optica 3, 93–99 (2016).
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T. Van Mechelen and Z. Jacob, “Universal spin-momentum locking of evanescent waves,” Optica 3, 118–126 (2016).
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R. Alaee, M. Albooyeh, S. Tretyakov, and C. Rockstuhl, “Phase-change material-based nanoantennas with tunable radiation patterns,” Opt. Lett. 41, 4099–4102 (2016).
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D. Smirnova and Y. S. Kivshar, “Multipolar nonlinear nanophotonics,” Optica 3, 1241–1255 (2016).
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G. Clos, D. Porras, U. Warring, and T. Schaetz, “Time-resolved observation of thermalization in an isolated quantum system,” Phys. Rev. Lett. 117, 170401 (2016).
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P. Banzer, P. Woźniak, U. Mick, I. D. Leon, and R. W. Boyd, “Chiral optical response of planar and symmetric nanotrimers enabled by heteromaterial selection,” Nat. Commun. 7, 13117 (2016).
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K. Yao and Y. Liu, “Controlling electric and magnetic resonances for ultracompact nanoantennas with tunable directionality,” ACS Photonics 3, 953–963 (2016).
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M. Neugebauer, P. Woźniak, A. Bag, G. Leuchs, and P. Banzer, “Polarization-controlled directional scattering for nanoscopic position sensing,” Nat. Commun. 7, 11286 (2016).
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Z. Wang, K. Yao, M. Chen, H. Chen, and Y. Liu, “Manipulating Smith-Purcell emission with Babinet metasurfaces,” Phys. Rev. Lett. 117, 157401 (2016).
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J. Li, N. Verellen, D. Vercruysse, T. Bearda, L. Lagae, and P. Van Dorpe, “All-dielectric antenna wavelength router with bidirectional scattering of visible light,” Nano Lett. 16, 4396–4403 (2016).
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H.-T. Chen, A. J. Taylor, and N. Yu, “A review of metasurfaces: physics and applications,” Rep. Prog. Phys. 79, 076401 (2016).
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A. I. Kuznetsov, A. E. Miroshnichenko, M. L. Brongersma, Y. S. Kivshar, and B. Luk’yanchuk, “Optically resonant dielectric nanostructures,” Science 354, aag2472 (2016).
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I. Sinev, I. Iorsh, A. Bogdanov, D. Permyakov, F. Komissarenko, I. Mukhin, A. Samusev, V. Valuckas, A. I. Kuznetsov, B. S. Luk’yanchuk, A. E. Miroshnichenko, and Y. S. Kivshar, “Polarization control over electric and magnetic dipole resonances of dielectric nanoparticles on metallic films,” Laser Photonics Rev. 10, 799–806 (2016).
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R. Paniagua-Domínguez, Y. F. Yu, A. E. Miroshnichenko, L. A. Krivitsky, Y. H. Fu, V. Valuckas, L. Gonzaga, Y. T. Toh, A. Y. S. Kay, B. Luk’yanchuk, and A. I. Kuznetsov, “Generalized Brewster effect in dielectric metasurfaces,” Nat. Commun. 7, 10362 (2016).
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S. Kruk, B. Hopkins, I. I. Kravchenko, A. Miroshnichenko, D. N. Neshev, and Y. S. Kivshar, “Broadband highly efficient dielectric metadevices for polarization control,” APL Photonics 1, 030801 (2016).
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A. Zhan, S. Colburn, R. Trivedi, T. K. Fryett, C. M. Dodson, and A. Majumdar, “Low-contrast dielectric metasurface optics,” ACS Photonics 3, 209–214 (2016).
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2015 (26)

A. Arbabi, Y. Horie, M. Bagheri, and A. Faraon, “Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission,” Nat. Nanotechnol. 10, 937–943 (2015).
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G. M. Akselrod, J. Huang, T. B. Hoang, P. T. Bowen, L. Su, D. R. Smith, and M. H. Mikkelsen, “Large-area metasurface perfect absorbers from visible to near-infrared,” Adv. Mater. 27, 8028–8034 (2015).
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M. V. Rybin, D. S. Filonov, K. B. Samusev, P. A. Belov, Y. S. Kivshar, and M. F. Limonov, “Phase diagram for the transition from photonic crystals to dielectric metamaterials,” Nat. Commun. 6, 10102 (2015).
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P. K. Jha, X. Ni, C. Wu, Y. Wang, and X. Zhang, “Metasurface-enabled remote quantum interference,” Phys. Rev. Lett. 115, 025501 (2015).
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A. B. Evlyukhin and S. I. Bozhevolnyi, “Resonant unidirectional and elastic scattering of surface plasmon polaritons by high refractive index dielectric nanoparticles,” Phys. Rev. B 92, 245419 (2015).
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P. Moitra, B. A. Slovick, W. Li, I. I. Kravchencko, D. P. Briggs, S. Krishnamurthy, and J. Valentine, “Large-scale all-dielectric metamaterial perfect reflectors,” ACS Photonics 2, 692–698 (2015).
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M. I. Shalaev, J. Sun, A. Tsukernik, A. Pandey, K. Nikolskiy, and N. M. Litchinitser, “High-efficiency all-dielectric metasurfaces for ultracompact beam manipulation in transmission mode,” Nano Lett. 15, 6261–6266 (2015).
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G. Lu, Y. Wang, R. Y. Chou, H. Shen, Y. He, Y. Cheng, and Q. Gong, “Directional side scattering of light by a single plasmonic trimer,” Laser Photonics Rev. 9, 530 (2015).
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M. Decker, I. Staude, M. Falkner, J. Dominguez, D. N. Neshev, I. Brener, T. Pertsch, and Y. S. Kivshar, “High-efficiency dielectric Huygens surfaces,” Adv. Opt. Mater. 3, 813–820 (2015).
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V. O. Byelobrov, T. L. Zinenko, K. Kobayashi, and A. I. Nosich, “Periodicity matters: grating or lattice resonances in the scattering by sparse arrays of subwavelength strips and wires,” IEEE Antennas Propag. Mag. 57, 34–45 (2015).
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Y. Ra’di, V. S. Asadchy, S. U. Kosulnikov, M. M. Omelyanovich, D. Morits, A. V. Osipov, C. R. Simovski, and S. A. Tretyakov, “Full light absorption in single arrays of spherical nanoparticles,” ACS Photonics 2, 653–660 (2015).
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A. Wu, H. Li, J. Du, X. Ni, Z. Ye, Y. Wang, Z. Sheng, S. Zou, F. Gan, X. Zhang, and X. Wang, “Experimental demonstration of in-plane negative-angle refraction with an array of silicon nanoposts,” Nano Lett. 15, 2055–2060 (2015).
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Y. Ra’Di, C. R. Simovski, and S. A. Tretyakov, “Thin perfect absorbers for electromagnetic waves: Theory, design, and realizations,” Phys. Rev. Appl. 3, 037001 (2015).
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P. Woźniak, P. Banzer, and G. Leuchs, “Selective switching of individual multipole resonances in single dielectric nanoparticles,” Laser Photonics Rev. 9, 231–240 (2015).
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I. Liberal, I. Ederra, R. Gonzalo, and R. W. Ziolkowski, “Superbackscattering from single dielectric particles,” J. Opt. 17, 072001 (2015).
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H. Wang, P. Liu, Y. Ke, Y. Su, L. Zhang, N. Xu, S. Deng, and H. Chen, “Janus magneto–electric nanosphere dimers exhibiting unidirectional visible light scattering and strong electromagnetic field enhancement,” ACS Nano 9, 436–448 (2015).
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B. Hopkins, D. S. Filonov, A. E. Miroshnichenko, F. Monticone, A. Alù, and Y. S. Kivshar, “Interplay of magnetic responses in all-dielectric oligomers to realize magnetic Fano resonances,” ACS Photonics 2, 724–729 (2015).
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K. Y. Bliokh, F. J. Rodríguez-Fortuño, F. Nori, and A. V. Zayats, “Spin-orbit interactions of light,” Nat. Photonics 9, 796–808 (2015).
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J. Sautter, I. Staude, M. Decker, E. Rusak, D. N. Neshev, I. Brener, and Y. S. Kivshar, “Active tuning of all-dielectric metasurfaces,” ACS Nano 9, 4308–4315 (2015).
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J. H. Yan, P. Liu, Z. Y. Lin, H. Wang, H. J. Chen, C. X. Wang, and G. W. Yang, “Magnetically induced forward scattering at visible wavelengths in silicon nanosphere oligomers,” Nat. Commun. 6, 7042 (2015).
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S. Campione, L. I. Basilio, L. K. Warne, and M. B. Sinclair, “Tailoring dielectric resonator geometries for directional scattering and Huygens’ metasurfaces,” Opt. Express 23, 2293–2307 (2015).
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R. R. Naraghi, S. Sukhov, and A. Dogariu, “Directional control of scattering by all-dielectric core-shell spheres,” Opt. Lett. 40, 585–588 (2015).
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L. Zhu, J. Kapraun, J. Ferrara, and C. J. Chang-Hasnain, “Flexible photonic metastructures for tunable coloration,” Optica 2, 255–258 (2015).
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W. Liu, “Ultra-directional super-scattering of homogenous spherical particles with radial anisotropy,” Opt. Express 23, 14734–14743 (2015).
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W. Liu, J. Shi, B. Lei, H. Hu, and A. E. Miroshnichenko, “Efficient excitation and tuning of toroidal dipoles within individual homogenous nanoparticles,” Opt. Express 23, 24738–24747 (2015).
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A. Pors, S. K. Andersen, and S. I. Bozhevolnyi, “Unidirectional scattering by nanoparticles near substrates: generalized Kerker conditions,” Opt. Express 23, 28808–28828 (2015).
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2014 (24)

N. Wang, W. Lu, J. Ng, and Z. Lin, “Optimized optical “tractor beam” for core–shell nanoparticles,” Opt. Lett. 39, 2399–2402 (2014).
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W. Liu, J. Zhang, B. Lei, H. Ma, W. Xie, and H. Hu, “Ultra-directional forward scattering by individual core-shell nanoparticles,” Opt. Express 22, 16178–16187 (2014).
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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).
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W. Zhao, D. Ju, Y. Jiang, and Q. Zhan, “Dipole and quadrupole trapped modes within bi-periodic siliconparticle array realizing three-channel refractive sensing,” Opt. Express 22, 31277–31285 (2014).
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S. Brûlé, H. Javelaud, E. S. Enoch, and S. Guenneau, “Experiments on seismic metamaterials: molding surface waves,” Phys. Rev. Lett. 112, 133901 (2014).
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F. Xia, H. Wang, D. Xiao, M. Dubey, and A. Ramasubramaniam, “Two-dimensional material nanophotonics,” Nat. Photonics 8, 899–907 (2014).
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S. S. Kruk, M. Decker, I. Staude, S. Schlecht, M. Greppmair, D. N. Neshev, and Y. S. Kivshar, “Spin-polarized photon emission by resonant multipolar nanoantennas,” ACS Photonics 1, 1218–1223 (2014).
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T. Coenen, F. Bernal Arango, A. Femius Koenderink, and A. Polman, “Directional emission from a single plasmonic scatterer,” Nat. Commun. 5, 3250 (2014).
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P. A. Huidobro, X. Shen, J. Cuerda, E. Moreno, L. Martin-Moreno, J. Garcia-Vidal, F. T. J. Cui, and B. J. Pendry, “Magnetic localized surface plasmons,” Phys. Rev. X 4, 021003 (2014).

T. Coenen and A. Polman, “Optical properties of single plasmonic holes probed with local electron beam excitation,” ACS Nano 8, 7350–7358 (2014).
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N. Rotenberg and L. Kuipers, “Mapping nanoscale light fields,” Nat. Photonics 8, 919–926 (2014).
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A. E. Krasnok, C. R. Simovski, P. A. Belov, and Y. S. Kivshar, “Superdirective dielectric nanoantennas,” Nanoscale 6, 7354–7361 (2014).
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D. Vercruysse, X. Zheng, Y. Sonnefraud, N. Verellen, G. Di Martino, L. Lagae, G. A. E. Vandenbosch, V. V. Moshchalkov, S. A. Maier, and P. Van Dorpe, “Directional fluorescence emission by individual V-antennas explained by mode expansion,” ACS Nano 8, 8232–8241 (2014).
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W. Liu, A. E. Miroshnichenko, and Y. S. Kivshar, “Control of light scattering by nanoparticles with optically-induced magnetic responses,” Chin. Phys. B 23, 047806 (2014).
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Y. Yang, I. I. Kravchenko, D. P. Briggs, and J. Valentine, “All-dielectric metasurface analogue of electromagnetically induced transparency,” Nat. Commun. 5, 5753 (2014).
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C. Wu, N. Arju, G. Kelp, J. A. Fan, J. Dominguez, E. Gonzales, E. Tutuc, I. Brener, and G. Shvets, “Spectrally selective chiral silicon metasurfaces based on infrared Fano resonances,” Nat. Commun. 5, 3892 (2014).
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M. Kim, H. Wong, M. Alex, and G. V. Eleftheriades, “Optical Huygens metasurfaces with independent control of the magnitude and phase of the local reflection coefficients,” Phys. Rev. X 4, 041042 (2014).

F. Wang, Q.-H. Wei, and H. Htoon, “Generation of steep phase anisotropy with zero-backscattering by arrays of coupled dielectric nano-resonators,” Appl. Phys. Lett. 105, 121112 (2014).
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S. R. K. Rodriguez, F. B. Arango, T. P. Steinbusch, M. A. Verschuuren, A. F. Koenderink, and J. G. Rivas, “Breaking the symmetry of forward-backward light emission with localized and collective magnetoelectric resonances in arrays of pyramid-shaped aluminum nanoparticles,” Phys. Rev. Lett. 113, 247401 (2014).
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L. Lu, J. D. Joannopoulos, and M. Soljačić, “Topological photonics,” Nat. Photonics 8, 821–829 (2014).
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M. L. Brongersma, Y. Cui, and S. Fan, “Light management for photovoltaics using high-index nanostructures,” Nat. Materials 13, 451–460 (2014).
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S. Collin, “Nanostructure arrays in free-space: optical properties and applications,” Rep. Prog. Phys. 77, 126402 (2014).
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Y. Yang, W. Wang, P. Moitra, I. I. Kravchenko, D. P. Briggs, and J. Valentine, “Dielectric meta-reflectarray for broadband linear polarization conversion and optical vortex generation,” Nano Lett. 14, 1394–1399 (2014).
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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).
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2013 (11)

J. Du, Z. Lin, S. T. Chui, G. Dong, and W. Zhang, “Nearly total omnidirectional reflection by a single layer of nanorods,” Phys. Rev. Lett. 110, 163902 (2013).
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B. Slovick, Z. G. Yu, M. Berding, and S. Krishnamurthy, “Perfect dielectric-metamaterial reflector,” Phys. Rev. B 88, 165116 (2013).
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M. S. Tame, K. R. McEnery, Ş. K. Özdemir, J. Lee, S. A. Maier, and M. S. Kim, “Quantum plasmonics,” Nat. Phys. 9, 329–340 (2013).
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M. Segev, Y. Silberberg, and D. N. Christodoulides, “Anderson localization of light,” Nat. Photonics 7, 197–204 (2013).
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Y. H. Fu, A. I. Kuznetsov, A. E. Miroshnichenko, Y. F. Yu, and B. Lukyanchuk, “Directional visible light scattering by silicon nanoparticles,” Nat. Commun. 4, 1527 (2013).
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I. M. Hancu, A. G. Curto, M. Castro-Lopez, M. Kuttge, and N. F. van Hulst, “Multipolar interference for directed light emission,” Nano Lett. 14, 166–171 (2013).
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B. Rolly, R. Abdeddaim, J.-M. Geffrin, B. Stout, and N. Bonod, “Controllable emission of a dipolar source coupled with a magneto-dielectric resonant subwavelength scatterer,” Sci. Rep. 3, 3063 (2013).
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F. J. Rodríguez-Fortuño, G. Marino, P. Ginzburg, D. O’Connor, A. Martínez, G. A. Wurtz, and A. V. Zayats, “Near-field interference for the unidirectional excitation of electromagnetic guided modes,” Science 340, 328–330 (2013).
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X. Zambrana-Puyalto, I. Fernandez-Corbaton, M. L. Juan, X. Vidal, and G. Molina-Terriza, “Duality symmetry and Kerker conditions,” Opt. Lett. 38, 1857–1859 (2013).
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W. Liu, A. E. Miroshnichenko, R. F. Oulton, D. N. Neshev, O. Hess, and Y. S. Kivshar, “Scattering of core-shell nanowires with the interference of electric and magnetic resonances,” Opt. Lett. 38, 2621–2624 (2013).
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J. van de Groep and A. Polman, “Designing dielectric resonators on substrates: combining magnetic and electric resonances,” Opt. Express 21, 26285–26302 (2013).
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2012 (16)

B. Liao, M. Zebarjadi, K. Esfarjani, and G. Chen, “Cloaking core-shell nanoparticles from conducting electrons in solids,” Phys. Rev. Lett. 109, 126806 (2012).
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C. J. Chang-Hasnain and W. Yang, “High-contrast gratings for integrated optoelectronics,” Adv. Opt. Photon. 4, 379–440 (2012).
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A. E. Miroshnichenko and Y. S. Kivshar, “Fano resonances in all-dielectric oligomers,” Nano Lett. 12, 6459–6463 (2012).
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N. Rotenberg, M. Spasenović, T. L. Krijger, B. Le Feber, F. G. de Abajo, and L. Kuipers, “Plasmon scattering from single subwavelength holes,” Phys. Rev. Lett. 108, 127402 (2012).
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S.-Y. Lee, I.-M. Lee, J. Park, S. Oh, W. Lee, K.-Y. Kim, and B. Lee, “Role of magnetic induction currents in nanoslit excitation of surface plasmon polaritons,” Phys. Rev. Lett. 108, 213907 (2012).
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A. Novitsky, C.-W. Qiu, and A. Lavrinenko, “Material-independent and size-independent tractor beams for dipole objects,” Phys. Rev. Lett. 109, 023902 (2012).
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N. F. v. Hulst, R. Zia, S. Karaveli, and T. H. Taminiau, “Quantifying the magnetic nature of light emission,” Nat. Commun. 3, 979 (2012).
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J. M. Geffrin, B. Garcia-Camara, R. Gomez-Medina, P. Albella, L. S. Froufe-Perez, C. Eyraud, A. Litman, R. Vaillon, F. Gonzalez, M. Nieto-Vesperinas, J. J. Saenz, and F. Moreno, “Magnetic and electric coherence in forward- and back-scattered electromagnetic waves by a single dielectric subwavelength sphere,” Nat. Commun. 3, 1171 (2012).
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A. I. Kuznetsov, A. E. Miroshnichenko, Y. H. Fu, J. B. Zhang, and B. S. Lukyanchuk, “Magnetic light,” Sci. Rep. 2, 492 (2012).
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A. B. Evlyukhin, S. M. Novikov, U. Zywietz, R. L. Eriksen, C. Reinhardt, S. I. Bozhevolnyi, and B. N. Chichkov, “Demonstration of magnetic dipole resonances of dielectric nanospheres in the visible region,” Nano Lett. 12, 3749–3755 (2012).
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W. Liu, A. E. Miroshnichenko, D. N. Neshev, and Y. S. Kivshar, “Broadband unidirectional scattering by magneto-electric core-shell nanoparticles,” ACS Nano 6, 5489–5497 (2012).
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P. Spinelli, M. A. Verschuuren, and A. Polman, “Broadband omnidirectional antireflection coating based on subwavelength surface Mie resonators,” Nat. Commun. 3, 692 (2012).
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W. Liu, A. E. Miroshnichenko, D. N. Neshev, and Y. S. Kivshar, “Polarization-independent Fano resonances in arrays of core-shell nanoparticles,” Phys. Rev. B 86, 081407 (2012).
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P. Ghenuche, G. Vincent, M. Laroche, N. Bardou, R. Haïdar, J.-L. Pelouard, and S. Collin, “Optical extinction in a single layer of nanorods,” Phys. Rev. Lett. 109, 143903 (2012).
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A. Moreau, C. Ciracì, J. J. Mock, R. T. Hill, Q. Wang, B. J. Wiley, A. Chilkoti, and D. R. Smith, “Controlled-reflectance surfaces with film-coupled colloidal nanoantennas,” Nature 492, 86–89 (2012).
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C. M. Watts, X. Liu, and W. J. Padilla, “Metamaterial electromagnetic wave absorbers,” Adv. Mater. 24, OP98–OP120 (2012).
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2011 (6)

J. Du, Z. Lin, S. T. Chui, W. Lu, H. Li, A. Wu, Z. Sheng, J. Zi, X. Wang, S. Zou, and F. Gan, “Optical beam steering based on the symmetry of resonant modes of nanoparticles,” Phys. Rev. Lett. 106, 203903 (2011).
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K. Aydin, V. E. Ferry, R. M. Briggs, and H. A. Atwater, “Broadband polarization-independent resonant light absorption using ultrathin plasmonic super absorbers,” Nat. Commun. 2, 517 (2011).
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R. Gomez-Medina, B. Garcia-Camara, I. Suarez-Lacalle, F. Gonzalez, F. Moreno, M. Nieto-Vesperinas, and J. J. Saenz, “Electric and magnetic dipolar response of germanium nanospheres: interference effects, scattering anisotropy, and optical forces,” J. Nanophotonics 5, 053512 (2011).
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L. Cao, P. Fan, and M. L. Brongersma, “Optical coupling of deep-subwavelength semiconductor nanowires,” Nano Lett. 11, 1463–1468 (2011).
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H. W. Kihm, S. M. Koo, Q. H. Kim, K. Bao, J. E. Kihm, W. S. Bak, S. H. Eah, C. Lienau, H. Kim, P. Nordlander, N. J. Halas, N. K. Park, and D.-S. Kim, “Bethe-hole polarization analyser for the magnetic vector of light,” Nat. Commun. 2, 451 (2011).
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T. Grosjean, M. Mivelle, F. I. Baida, G. W. Burr, and U. C. Fischer, “Diabolo nanoantenna for enhancing and confining the magnetic optical field,” Nano Lett. 11, 1009–1013 (2011).
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2010 (5)

A. Alu and N. Engheta, “How does zero forward-scattering in magnetodielectric nanoparticles comply with the optical theorem?” J. Nanophotonics 4, 041590 (2010).
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P. Jin and R. W. Ziolkowski, “Metamaterial-inspired, electrically small Huygens’ sources,” Antennas and Wireless Propagation Letters, IEEE 9, 501–505 (2010).
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F. Brückner, D. Friedrich, T. Clausnitzer, M. Britzger, O. Burmeister, K. Danzmann, E.-B. Kley, A. Tünnermann, and R. Schnabel, “Realization of a monolithic high-reflectivity cavity mirror from a single silicon crystal,” Phys. Rev. Lett. 104, 163903 (2010).
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D. Fattal, J. Li, Z. Peng, M. Fiorentino, and R. G. Beausoleil, “Flat dielectric grating reflectors with focusing abilities,” Nat. Photonics 4, 466–470 (2010).
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H.-T. Chen, J. Zhou, J. F. O’Hara, F. Chen, A. K. Azad, and A. J. Taylor, “Antireflection coating using metamaterials and identification of its mechanism,” Phys. Rev. Lett. 105, 073901 (2010).
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2009 (1)

Q. Zhao, J. Zhou, F. Zhang, and D. Lippens, “Mie resonance-based dielectric metamaterials,” Mat. Today 12, 60–69 (2009).
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2008 (4)

C.-H. Sun, P. Jiang, and B. Jiang, “Broadband moth-eye antireflection coatings on silicon,” Appl. Phys. Lett. 92, 061112 (2008).
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S. A. Cummer, B.-I. Popa, D. Schurig, D. R. Smith, J. Pendry, M. Rahm, and A. Starr, “Scattering theory derivation of a 3D acoustic cloaking shell,” Phys. Rev. Lett. 100, 024301 (2008).
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S. Zhang, D. A. Genov, C. Sun, and X. Zhang, “Cloaking of matter waves,” Phys. Rev. Lett. 100, 123002 (2008).
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M. Farhat, S. Enoch, S. Guenneau, and A. B. Movchan, “Broadband cylindrical acoustic cloak for linear surface waves in a fluid,” Phys. Rev. Lett. 101, 134501 (2008).
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2007 (2)

F. G. De Abajo, “Colloquium: Light scattering by particle and hole arrays,” Rev. Mod. Phys. 79, 1267 (2007).
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O. Merchiers, F. Moreno, F. Gonzalez, and J. M. Saiz, “Light scattering by an ensemble of interacting dipolar particles with both electric and magnetic polarizabilities,” Phys. Rev. A 76, 043834 (2007).
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2004 (1)

C. F. Mateus, M. C. Huang, Y. Deng, A. R. Neureuther, and C. J. Chang-Hasnain, “Ultrabroadband mirror using low-index cladded subwavelength grating,” IEEE Photonics Technol. Lett. 16, 518–520 (2004).
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2002 (1)

E. E. Radescu and G. Vaman, “Exact calculation of the angular momentum loss, recoil force, and radiation intensity for an arbitrary source in terms of electric, magnetic, and toroid multipoles,” Phys. Rev. E 65, 046609 (2002).
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1999 (1)

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE. T. Microw. Theory 47, 2075–2084 (1999).
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A. Alu and N. Engheta, “How does zero forward-scattering in magnetodielectric nanoparticles comply with the optical theorem?” J. Nanophotonics 4, 041590 (2010).
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Y. Ra’di, D. L. Sounas, and A. Alù, “Metagratings: beyond the limits of graded metasurfaces for wave front control,” Phys. Rev. Lett. 119, 067404 (2017).
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H.-T. Chen, J. Zhou, J. F. O’Hara, F. Chen, A. K. Azad, and A. J. Taylor, “Antireflection coating using metamaterials and identification of its mechanism,” Phys. Rev. Lett. 105, 073901 (2010).
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A. Arbabi, Y. Horie, M. Bagheri, and A. Faraon, “Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission,” Nat. Nanotechnol. 10, 937–943 (2015).
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T. Grosjean, M. Mivelle, F. I. Baida, G. W. Burr, and U. C. Fischer, “Diabolo nanoantenna for enhancing and confining the magnetic optical field,” Nano Lett. 11, 1009–1013 (2011).
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H. W. Kihm, S. M. Koo, Q. H. Kim, K. Bao, J. E. Kihm, W. S. Bak, S. H. Eah, C. Lienau, H. Kim, P. Nordlander, N. J. Halas, N. K. Park, and D.-S. Kim, “Bethe-hole polarization analyser for the magnetic vector of light,” Nat. Commun. 2, 451 (2011).
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Figures (8)

Fig. 1
Fig. 1 Phase-symmetry analysis for electromagnetic multipoles up to quadrupoles (middle row; arrows indicate radiated electric fields in the forward and backward directions, with upward and downward arrows corresponding to out-of-phase and in-phase fields with respect to the incident electric field, respectively) and different overlapping scenarios to suppress the backward scattering (upper and lower rows). The incident plane wave is assumed to prorogate from the left with in-plane electric field. All the multipoles shown are resonantly excited and of the same magnitude in terms of backward scattering. For both individual and overlapped multipoles, only the in-plane (purple curves) and out-of-plane (blue curves) scattering patterns are shown for clarity. The scattering patterns are azimuthally symmetric (in-plane and out-of-plane scattering patterns are identical) for overlapped electric and magnetic multipoles of the same order (lower row).
Fig. 2
Fig. 2 Directional scattering by individual particles, induced by interference of: (a,b) ED and MD modes, and (c–f) ED, MD, and EQ modes. In (a,b), the ED and MD modes are excited in a Si nanoparticle by a focused radially polarized wave. In (c–f), ED, MD and EQ modes are excited by (c,d) quantum dots within a gold SRR, and (e,f) by an effective plane waves within the V-shaped silicon antenna. Adapted from [43,53,54].
Fig. 3
Fig. 3 Interference of an incident surface plasmon with the fields scattered by a hole in a gold film shown in (a), where both the ED and MD modes can be effective excited. The interference patterns are shown in (b) and (c), where the sole contribution of ED, or both the contributions from ED and MD are considered, respectively. Unidirectional surface plasmon wave excitation [shown in (e)] can be obtained with a metal slit [shown in (d)] excited by an obliquely-incident circularly-polarized wave. The directionality comes from the interference of a pair of parallel ED and MD [both along z direction, shown in (d)] with an absolute π/2 phase shift that is induced by the circular polarization of the incident wave. Effective switching of the excitations of surface modes (or waveguide modes) through the interferences of a pair of orthogonal ED and MD, as is shown in (f,g). Through tuning the phase difference between the two dipoles from π/2 to –π/2, the mode excitations can be switched on or off, despite the fact that the far-field radiation patterns of such a dipole pair are identical for the two opposite phase differences [see the insets of (f,g)]. Adapted from [79,80,85].
Fig. 4
Fig. 4 Scattering manipulations for different clusters of partices, including (a–c) asymmetric silicon dimers, (d–f) silicon trimers, and (g,h) higher-index dielectric quadrumers. The dimer can effectively direct light of different wavelengths to different directions [(b,c)], and the backscattering of the trimers (both line-shaped and triangle-shaped) can be significantly suppressed [(d–f)]. Besides angular scattering controls in (a–d), the total scattering can be significantly suppressed for the quadrumer made of high-index dielectric spheres shown in (g), or fully eliminated for that consisting of high-index dielectric cylinders shown in (h), where simultaneous free-space field enhancement has also been obtained. Adapted from [90,92,97,101].
Fig. 5
Fig. 5 Perfect transmission for lattices of Si disks where the reflection is eliminated by interference of: ED and MD modes in (a); ED, MD and other unspecified higher-order multipoles in (b). Similarly, a 1D lattice of high-index dielectric cylinders [see inset in (c)] can also be made fully transparent at the points A and B indicated in (c), which originate respectively from the interferences of: ED, MD, and EQ modes shown in (d); ED, MD, EQ, and EO modes shown in (e). In (c) and (d), both the angular scattering patterns of each unit cell and relative total scattered power of all excited multipoles are shown. Perfect transmission can also be obtained with metalattice consisting of dimers as the unit cells, as is shown in (f) and (g). Reflection is fully suppressed by interference of ED and MD resonances in (f), and of ED and EQ resonances in (g). Adapted from [106,113,118–120].
Fig. 6
Fig. 6 (a) A metalattice of Si nanodisks (inset) reflects the incident wave at ED or MD resonances. (b) Perfect reflection by a lattice of high-index dielectric cylinders. Electric mirrors are induced by ED or MQ resonances [(c–d)], and magnetic mirrors induced by MD or EQ resonances [(e–f)] within each lattice cylinder. Adapted from [24,126].
Fig. 7
Fig. 7 (a) A metalattice made of asymetric TiO2 dimers (shown in the right inset) can direct most of the transmitted light to the (−1) order diffraction, thus realising effectively highly efficient large-angle beam bending at various wavelengths, as shown in (b). This has been enabled by the high directional scattering of each unit cell [left inset in (a)]. (c) With a much simpler 1D metalattice made of high-index dielectric cylinders, almost the same functionality can be obtained for both polarizations of incident waves. This is induced by the specific scattering patterns of the lattice cylinders [upper row in (d, e)], which originate from interferences of multipoles of different orders [lower row in (d, e); it agrees with the upper row that the dipolar approximation (dashed curves) is not sufficient here and higher-order multipoles should be taken into consideration]. Adapted from [118,134].
Fig. 8
Fig. 8 Perfect absorption associated with generalized Kerker effects. A 2D metalattice made of core-shell spheres shown in (a) can fully absorb incident waves shone from one side, as shown in (d). The core-shell particle simultaneously support both ED and MD resonances, with the corresponding near field distributions shown in (b,c). (e–g) Total internal reflection with dielectric particles. (g) When the particle supports both ED and MD resonances, the reflection can be fully eliminated, achieving the perfect absorption of the incident wave. However, if the particle support either ED or MD resonances only, the incident wave will be absorbed only partially, as shown in (e,f). Adapted from [139,140].