Abstract
We discuss nanophotonic structures composed of high-index dielectric nanoparticles and present several basic approaches for numerical study of their collective optical response. We also provide comparison on the collective optical properties of dielectric and plasmonic structures, and review experimental demonstrations of Fano resonances in all-dielectric nanoparticle oligomers.
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References
A.B. Evlyukhin, C. Reinhardt, A. Seidel, B.S. Luk’yanchuk, B.N. Chichkov, Optical response features of Si-nanoparticle arrays. Phys. Rev. B 82, 045404 (2010)
A.E. Krasnok, A.E. Miroshnichenko, P.A. Belov, Y.S. Kivshar, Huygens optical elements and Yagi-Uda nanoantennas based on dielectric nanoparticles. JETP Lett. 94(8), 593 (2011)
A. GarcÃa-Etxarri, R. Gómez-Medina, L.S. Froufe-Pérez, C. López, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, J.J. Sáenz, Strong magnetic response of submicron silicon particles in the infrared. Opt. Express 19, 4815–4826 (2011)
M. Kerker, Invisible bodies. J. Opt. Soc. Am. 65, 376–379 (1975)
M. Nieto-Vesperinas, R. Gomez-Medina, J.J. Saenz, Angle-suppressed scattering and optical forces on submicrometer dielectric particles. J. Opt. Soc. Am. A 28(1), 54–60 (2011)
B. Rolly, B. Stout, N. Bonod, Boosting the directivity of optical antennas with magnetic and electric dipolar resonant particles. Opt. Express 20(18), 20376–20386 (2012)
J.M. Geffrin, B. Garca-Cámara, P.A.R. Gómez-Medina, L.S. Froufe-Pérez, C. Eyraud, A. Litman, R. Vaillon, F. Gonzáleź, M. Nieto-Vesperinas, J.J. Sáenz, F. Moreno, Magnetic and electric coherence in forward- and back-scattered electromagnetic waves by a single dielectric subwavelength sphere. Nat. Commun. 3, 1171 (2012)
A.I. Kuznetsov, A.E. Miroshnichenko, Y.H. Fu, J.B. Zhang, B. Luk’yanchuk, Magnetic light. Sci. Rep. 2, 492 (2012)
A.B. Evlyukhin, S.M. Novikov, U. Zywietz, R.L. Eriksen, C. Reinhardt, S.I. Bozhevolnyi, B.N. Chichkov, Demonstration of magnetic dipole resonances of dielectric nanospheres in the visible region. Nano Lett. 12, 3749–3755 (2012)
W. Liu, A.E. Miroshnichenko, D.N. Neshev, Y.S. Kivshar, Broadband unidirectional scattering by magneto-electric core-shell nanoparticles. ACS Nano 6(6), 5489 (2012)
Y.H. Fu, A.I. Kuznetsov, A.E. Miroshnichenko, Y.F. Yu, B. Luk’yanchuk, Directional visible light scattering by silicon nanoparticles. Nat. Commun. 4, 1527 (2013)
W. Liu, A.E. Miroshnichenko, Y.S. Kivshar, Control of light scattering by nanoparticles with optically-induced magnetic responses. Chin. Phys. B 23(23), 047806 (2014)
A.E. Krasnok, A.E. Miroshnichenko, P.A. Belov, Y.S. Kivshar, All-dielectric optical nanoantennas. Opt. Express 20(18), 20599 (2012)
D.S. Filonov, A.E. Krasnok, A.P. Slobozhanyuk, P.V. Kapitanova, E.A. Nenasheva, Y.S. Kivshar, P.A. Belov, Experimental verification of the concept of all-dielectric nanoantennas. Appl. Phys. Lett. 100, 201113 (2012)
A. Krasnok, C. Simovski, P. Belov, Y.S. Kivshar, Superdirective dielectric nanoantenna. Nanoscale 6, 7354–7361 (2014)
A.E. Miroshnichenko, S. Flach, Y.S. Kivshar, Fano resonances in nanoscale structures. Rev. Mod. Phys. 82, 2257–2298 (2010)
B. Luk’yanchuk, N.I. Zheludev, S.A. Maier, N.J. Halas, P. Nordlander, H. Giessen, C.T. Chong, The Fano resonance in plasmonic nanostructures and metamaterials. Nat. Mater. 9, 707–715 (2010)
Y.S. Joe, A.M. Satanin, C.S. Kim, Classical analogy of Fano resonances. Phys. Scr. 74, 259–266 (2006)
B. Gallinet, O.J.F. Martin, Ab initio theory of Fano resonances in plasmonic nanostructures and metamaterials. Phys. Rev. B 83, 235427 (2011)
A.E. Miroshnichenko, Y.S. Kivshar, Fano resonances in all-dielectric oligomers. Nano Lett. 12, 6459–6463 (2012)
H.H. Sheinfux, I. Kaminer, Y. Plotnik, G. Bartal, M. Segev, Subwavelength multilayer dielectrics: ultrasensitive transmission and breakdown of effective-medium theory. Phys. Rev. Lett. 113, 243901 (2014)
B. Hopkins, A.N. Poddubny, A.E. Miroshnichenko, Y.S. Kivshar, Revisiting the physics of Fano resonances for nanoparticle oligomers. Phys. Rev. A 88, 053819 (2013)
A.I. Kuznetsov, Light manipulation by resonant dielectric nanostructures and metasurfaces, in Proceedings of the SPIE 9544, Metamaterials, Metadevices, and Metasystems 2015 (2015), p. 95442A
I. Staude, A.E. Miroshnichenko, M. Decker, N.T. Fofang, S. Liu, E. Gonzales, J. Dominguez, T.S. Luk, D.N. Neshev, I. Brener, Y. Kivshar, Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks. ACS Nano 7(9), 7824–7832 (2013)
B.S. Luk’yanchuk, N.V. Voshchinnikov, R. Paniagua-DomÃnguez, A.I. Kuznetsov, Optimum forward light scattering by spherical and spheroidal dielectric nanoparticles with high refractive index. ACS Photon. 2(7), 993–999 (2015)
K.E. Chong, B. Hopkins, I. Staude, A.E. Miroshnichenko, J. Dominguez, M. Decker, D.N. Neshev, I. Brener, Y.S. Kivshar, Observation of Fano resonances in all-dielectric nanoparticle oligomers. Small 10(10), 1985–1990 (2014)
B. Hopkins, D.S. Filonov, A.E. Miroshnichenko, F. Monticone, A. Alù, Y.S. Kivshar, Interplay of magnetic responses in all-dielectric oligomers to realize magnetic Fano resonances. ACS Photon. 2, 724–729 (2015)
C. Pfeiffer, A. Grbic, Metamaterial Huygens’ surfaces: tailoring wave fronts with reflectionless sheets. Phys. Rev. Lett. 110, 197401 (2013)
M. Decker, I. Staude, M. Falkner, J. Dominguez, D.N. Neshev, I. Brener, T. Pertsch, Y.S. Kivshar, High-efficiency dielectric Huygens’ surfaces. Adv. Opt. Mater. 3, 813–820 (2015)
K.E. Chong, I. Staude, A. James, J. Dominguez, S. Liu, S. Campione, G.S. Subramania, T.S. Luk, M. Decker, I.B. Dragomir, N. Neshev, Y.S. Kivshar, Polarization-independent silicon metadevices for efficient optical wavefront control. Nano Lett. 15(8), 5369–5374 (2015)
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. Mater. 10, 937–944 (2015)
A.D. Yaghjian, Electric dyadic Green‘s functions in the source region. Proc. IEEE 68(2), 248–263 (1980)
D.A. Powell, Resonant dynamics of arbitrarily shaped meta-atoms. Phys. Rev. B 90, 075108 (2014)
M. Hentschel, M. Saliba, R. Vogelgesang, H. Giessen, A.P. Alivisatos, N. Liu, Transition from isolated to collective modes in plasmonic oligomers. Nano Lett. 10, 2721–2726 (2010)
B. Hopkins, W. Liu, A.E. Miroshnichenko, Y.S. Kivshar, Optically isotropic responses induced by discrete rotational symmetry of nanoparticle clusters. Nanoscale 5, 6395–6403 (2013)
M. Rahmani, E. Yoxall, B. Hopkins, Y. Sonnefraud, Y. Kivshar, M. Hong, C. Phillips, S.A. Maier, A.E. Miroshnichenko, Plasmonic nanoclusters with rotational symmetry: polarization-invariant far-field response vs changing near-field distribution. ACS Nano 7, 11138–11146 (2013)
G.W. Mulholland, C.F. Bohren, K.A. Fuller, Light scattering by agglomerates: coupled electric and magnetic dipole method. Langmuir 10(8), 2533 (1994)
B.T. Draine, P.J. Flatau, Discrete-dipole approximation for scattering calculations. J. Opt. Soc. Am. A 11, 1491–1499 (1994)
G. Mie, Beitrage zur optik truber medien. Ann. Phys. 25, 377–445 (1908)
C.F. Bohren, D.R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983)
J. Chen, J. Ng, Z. Lin, C.T. Chan, Optical pulling force. Nat. Photon. 5, 531–534 (2011)
P. Grahn, A. Shevchenko, M. Kaivola, Electromagnetic multipole theory for optical nanomaterials. New J. Phys. 14, 093033 (2012)
A.E. Miroshnichenko, A.B. Evlyukhin, Y.F. Yu, R.M. Bakker, A. Chipouline, A.I. Kuznetsov, B. Luk’yanchuk, B.N. Chichkov, Y.S. Kivshar, Nonradiating anapole modes in dielectric nanoparticles. Nat. Commun. 6, 8069 (2015)
F.B. Arango, A.F. Koenderink, Polarizability tensor retrieval for magnetic and plasmonic antenna design. New J. Phys. 15, 073023 (2013)
L.D. Landau, E.M. Lifshitz, L.P. PitaevskiÄ, Statistical Physics, Part 1, 3rd edn. Course of Theoretical Physics, vol. 5 (Pergamon Press Ltd., New York, 1980)
F. Gantmacher, The Theory of Matrices (Chelsea Publishing Company, New York, 1959)
B. Craven, Complex symmetric matrices. J. Aust. Math. Soc. 10, 341–354 (1969)
O. Merchiers, F. Moreno, F. Gonzalez, J.M. Saiz, Light scattering by an ensemble of interacting dipolar particles with both electric and magnetic polarizabilities. Phys. Rev. A. 76(4), 043834 (2007)
A.M. Kern, O.J.F. Martin, Pitfalls in the determination of optical cross sections from surface integral equation simulations. IEEE Trans. Antennas. Propag. 58(6), 2158–2161 (2010)
B. Hopkins, A.N. Poddubny, A.E. Miroshnichenko, Y.S. Kivshar, Circular dichroism induced by Fano resonances in planar chiral oligomers. Laser Photon. Rev. 10(1), 137–146 (2016)
C. Forestiere, L.D. Negro, G. Miano, Theory of coupled plasmon modes and Fano-like resonances in subwavelength metal structures. Phys. Rev. B 88, 155411 (2013)
M. Frimmer, T. Coenen, A.F. Koenderink, Signature of a Fano resonance in a plasmonic metamolecule’s local density of optical states. Phys. Rev. Lett. 108, 077404 (2012)
A. Lovera, B. Gallinet, P. Nordlander, O.J. Martin, Mechanisms of Fano resonances in coupled plasmonic systems. ACS Nano 7(5), 4527–4536 (2013)
B. Hopkins, D.S. Filonov, S.B. Glybovski, A.E. Miroshnichenko, Hybridization and the origin of Fano resonances in symmetric nanoparticle trimers. Phys. Rev. B 92, 045433 (2015)
W.D. Heiss, Exceptional points of non-hermitian operators. J. Phys. A: Math. Gen. 37, 2455 (2001)
C. Dembowski, H.-D. Graf, H.L. Harney, A. Heine, W.D. Heiss, H. Rehfeld, A. Richter, The physics of exceptional points. Phys. Rev. Lett. 86, 787–790 (2001)
W.D. Heiss, The physics of exceptional points. J. Phys. A: Math. Theor. 45, 444016 (2001)
J. Yan, P. Liu, Z. Lin, H. Wang, H. Chen, C. Wang, G. Yang, Directional Fano resonances in a silicon nanoparticle dimer. ACS Nano 9, 2968–2980 (2015)
R.M. Bakker, D. Permyakov, Y.F. Yu, D. Markovich, R. Paniagua-DomÃnguez, L. Gonzaga, A. Samusev, Y. Kivshar, B. Luk’yanchuk, A.I. Kuznetsov, Magnetic and electric hotspots with silicon nanodimers. Nano Lett. 15(3), 2137–2142 (2015)
U. Zywietz, M.K. Schmidt, A.B. Evlyukhin, C. Reinhardt, J. Aizpurua, B.N. Chichkov, Electromagnetic resonances of silicon nanoparticle dimers in the visible. ACS Photon. 2, 913–920 (2015)
A.E. Miroshnichenko, B. Luk’yanchuk, S.A. Maier, Y.S. Kivshar, Optically induced interaction of magnetic moments in hybrid metamaterials. ACS Nano 6(1), 837–842 (2011)
I. Fernandez-Corbaton, G. Molina-Terriza, Role of duality symmetry in transformation optics. Phys. Rev. B 88, 085111 (2013)
X. Zambrana-Puyalto, I. Fernandez-Corbaton, M.L. Juan, X. Vidal, G. Molina-Terriza, Duality symmetry and Kerker conditions. Opt. Lett. 38(11), 1857–1859 (2013)
U. Fano, Effects of configuration interaction on intensities and phase shifts. Phys. Rev. 124, 1866–1878 (1961)
D.S. Filonov, A.P. Slobozhanyuk, A.E. Krasnok, P.A. Belov, E.A. Nenasheva, B. Hopkins, A.E. Miroshnichenko, Y.S. Kivshar, Near-field mapping of Fano resonances in all-dielectric oligomers. Appl. Phys. Lett. 104, 021104 (2014)
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Hopkins, B., Miroshnichenko, A.E., Kivshar, Y.S. (2017). All-Dielectric Nanophotonic Structures: Exploring the Magnetic Component of Light. In: Agrawal, A., Benson, T., De La Rue, R., Wurtz, G. (eds) Recent Trends in Computational Photonics. Springer Series in Optical Sciences, vol 204. Springer, Cham. https://doi.org/10.1007/978-3-319-55438-9_10
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