Abstract

We have achieved efficient polarization manipulations based on dipolar interferences and lattice couplings in one-dimensional cylindrical metalattices. First, we employ the scattering asymmetry factor g to quantify the directional scattering ability and find the maximum |g|max=1/2 for a cylinder with effective excitations of electric and magnetic dipoles simultaneously. Further, the strong negative–g (gp = −0.38) for p–polarization and positive–g (gs = 0.68) for s–polarization are obtained within a narrow visible band using c-Si with experimental data. Inspired by the polarization-dependent phenomena, we design a metalattice-based linear polarizer considering lattice effects with an optimal particle arrangement. The metalattice performs near-perfect reflection for p–polarized waves but with zero reflection for s–polarized waves with large extinction ratios for transmission (17 dB) and reflection (24 dB). The perfect functionalities can be attributed to the near-field lattice couplings with dipolar interferences. And, we reveal that the polarization-dependent scattering coefficients, which are sensitive to the lattice period, can be largely tuned owing to lattice effects, therefore contributing to modifying far-field scattering patterns. More specifically, the proposed linear polarizers also show robust and reliable functionalities when considering lattice imperfections, the effects of system sizes, oblique incident angles, and the tunbility for different working wavelengths. The present study paves a way to stimulate many advanced practical implements based on multipolar interferences and lattice couplings.

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

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2017 (20)

Z. Wang, Y. Yan, A. Arbabi, G. Xie, C. Liu, Z. Zhao, Y. Ren, L. Li, N. Ahmed, and A. J. Willner, “Orbital angular momentum beams generated by passive dielectric phase masks and their performance in a communication link,” Opt. Lett. 42(14), 2746–2749 (2017).
[Crossref] [PubMed]

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(7), 4297–4303 (2017).
[Crossref] [PubMed]

P. R. Wiecha, A. Cuche, A. Arbouet, C. Girard, G. C. D. Francs, A. Lecestre, G. Larrieu, F. Fournel, V. Larrey, and T. Baron, “Strongly Directional Scattering from Dielectric Nanowires,” ACS Photonics 4, 2036–2046 (2017).
[Crossref]

L. Ge, L. Liu, S. Dai, J. Chai, Q. Song, H. Xiang, and D. Han, “Unidirectional scattering induced by the toroidal dipolar excitation in the system of plasmonic nanoparticles,” Opt. Express 25(10), 10853–10862 (2017).
[Crossref] [PubMed]

W. Liu, “Superscattering pattern shaping for radially anisotropic nanowires,” Phys. Rev. A 96, 023854 (2017).
[Crossref]

J. F. Algorri, B. García-Cámara, A. Cuadrado, J. M. Sánchez-Pena, and R. Vergaz, “Selective Dielectric Metasurfaces Based on Directional Conditions of Silicon Nanopillars,” Nanomaterials 7(7), 177 (2017).
[Crossref]

R. Dezert, P. Richetti, and A. Baron, “Isotropic Huygens dipoles and multipoles with colloidal particles,” Phys. Rev. B 96, 180201 (2017).
[Crossref]

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).
[Crossref]

M. H. Alizadeh and B. M. Reinhard, “Highly efficient and broadband optical polarizers based on dielectric nanowires,” Opt. Express 25(19), 22897–22904 (2017).
[Crossref] [PubMed]

V. S. Asadchy, A. Wickberg, A. Díazrubio, and M. Wegener, “Eliminating Scattering Loss in Anomalously Reflecting Optical Metasurfaces,” ACS Photonics 4(5), 1264–1270 (2017).
[Crossref]

A. Dĺazrubio, V. S. Asadchy, A. Elsakka, and S. A. Tretyakov, “From the generalized reflection law to the realization of perfect anomalous reflectors,” Sci. Adv. 3, e1602714 (2017).
[Crossref]

S. S. Kruk, R. Camachomorales, L. Xu, M. Rahmani, D. A. Smirnova, L. Wang, H. H. Tan, C. Jagadish, D. N. Neshev, and Y. S. Kivshar, “Nonlinear Optical Magnetism Revealed by Second-Harmonic Generation in Nanoantennas,” Nano Lett. 17, 3914–3918 (2017).
[Crossref] [PubMed]

S. S. Kruk and Y. S. Kivshar, “Functional meta-optics and nanophotonics govern by Mie resonances,” ACS Photonics 4(11), 2638–3649 (2017).
[Crossref]

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(7), 4297–4303 (2017).
[Crossref] [PubMed]

V. E. Babicheva and A. B. Evlyukhin, “Resonant Lattice Kerker Effect in Metasurfaces With Electric and Magnetic Optical Responses,” Laser Photon. Rev.,  11, 1700132 (2017).
[Crossref]

Y. Ra’Di, D. L. Sounas, and A. Alu, “Metagratings: Beyond the Limits of Graded Metasurfaces for Wave Front Control,” Phys. Rev. Lett. 119, 067404 (2017).
[Crossref]

W. Liu, “Generalized Magnetic Mirrors,” Phys. Rev. Lett. 119, 123902 (2017).
[Crossref]

B. X. Wang, C. Y. Zhao, Y. H. Kan, and T. C. Huang, “Design of metasurface polarizers based on two-dimensional cold atomic arrays,” Opt. Express 25(16), 18760–18773 (2017).
[Crossref] [PubMed]

W. Liu and A. E. Miroshnichenko, “Scattering Invisibility With Free–Space Field Enhancement of All–Dielectric Nanoparticles,” Laser Photon. Rev. 11, 1700103 (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).
[Crossref] [PubMed]

2016 (10)

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

W. Liu and Y. S. Kivshar, “Multipolar interference effects in nanophotonics,” Phil. R. Soc. Lond. A 375, 20160317 (2016).
[Crossref]

A. I. Kuznetsov, A. E. Miroshnichenko, M. L. Brongersma, Y. S. Kivshar, and B. Luk’Yanchuk, “Optically resonant dielectric nanostructures,” Science 35(6314), aag2472 (2016).
[Crossref]

Y. Liu, Y. Ke, H. Luo, and S. Wen, “Photonic spin Hall effect in metasurfaces: a brief review,” Nanophotonics 6(1), 51–70 (2016).
[Crossref]

D. Lin, P. Fan, E. Hasman, and M. L. Brongersma, “Dielectric gradient metasurface optical elements,” Science 345(6194), 298–302 (2016).
[Crossref]

A. Epstein and G. V. Eleftheriades, “Synthesis of Passive Lossless Metasurfaces Using Auxiliary Fields for Reflectionless Beam Splitting and Perfect Reflection,” Phys. Rev. Lett. 117, 256103 (2016).
[Crossref] [PubMed]

S. Kruk, B. Hopkins, I. I. Kravchenko, A. Miroshnichenko, D. N. Neshev, and Y. S. Kivshar, “Invited Article: Broadband highly efficient dielectric metadevices for polarization control,” APL Photonics 1, 030801 (2016).
[Crossref]

S. Jahani and Z. Jacob, “All-dielectric metamaterials,” Nat. Nanotechnol. 11(1), 23–36 (2016).
[Crossref] [PubMed]

B. A. Slovick, “Negative refractive index induced by percolation in disordered metamaterials,” Phys. Rev. B 95, 094202 (2016).
[Crossref]

W. Zhao, H. Jiang, B. Liu, J. Song, Y. Jiang, C. Tang, and J. Li, “Dielectric Huygens’ Metasurface for High-Efficiency Hologram Operating in Transmission Mode,” Sci. Rep. 6, 30613 (2016).
[Crossref]

2015 (12)

Z. J. Wong, X. Ni, M. Mrejen, Y. Wang, and X. Zhang, “An ultrathin invisibility skin cloak for visible light,” Science 349(6254), 1310–1314 (2015).
[Crossref] [PubMed]

K. B. Crozier, M. Khorasaninejad, and W. Zhu, “Efficient polarization beam splitter pixels based on a dielectric metasurface,” Optica 2(4), 376–382 (2015).
[Crossref]

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(6), 813–820 (2015).
[Crossref]

W. Liu, “Ultra-directional super-scattering of homogenous spherical particles with radial anisotropy,” Opt. Express 23(11), 5489–5497 (2015).

A. Pors, S. K. Andersen, and S. I. Bozhevolnyi, “Unidirectional scattering by nanoparticles near substrates: generalized Kerker conditions,” Opt. Express 23(22), 28808–28828 (2015).
[Crossref] [PubMed]

M. Ali, A. E. Miroshnichenko, I. V. Shadrivov, and Y. S. Kivshar, “Optical Metacages,” Phys. Rev. Lett. 115, 215501 (2015).
[Crossref]

R. Alaee, R. Filter, D. Lehr, F. Lederer, and C. Rockstuhl, “A generalized Kerker condition for highly directive nanoantennas,” Opt. Lett. 40(11), 2645–2648 (2015).
[Crossref] [PubMed]

J. Yan, P. Liu, Z. Lin, H. Wang, H. Chen, C. Wang, and G. Yang, “Directional Fano Resonance in a Silicon Nanosphere Dimer,” ACS Nano 9(3), 2968–2980 (2015).
[Crossref] [PubMed]

A. Arbabi, H. Yu, M. Bagheri, and A. Faraon, “Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission,” Nat. Nanotechnol. 10(11), 937–943 (2015).
[Crossref] [PubMed]

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(6), 813–820 (2015).
[Crossref]

A. Mafi, “Transverse Anderson localization of light: a tutorial,” Adv. Opt. Photon. 7(3), 459–515 (2015).
[Crossref]

B. Shen, P. Wang, R. Polson, and R. Menon, “An integrated-nanophotonics polarization beamsplitter with 2.4×2.4µm2 footprint,” Nat. Photonics 9(6), 378–382 (2015).
[Crossref]

2014 (2)

E. N. Bulgakov and A. F. Sadreev, “Bloch bound states in the radiation continuum in a periodic array of dielectric rods,” Phys. Rev. A 90, 053801 (2014).
[Crossref]

B. Lei, H. Hu, H. Ma, J. Zhang, W. Liu, and W. Xie, “Ultra-directional forward scattering by individual core-shell nanoparticles,” Opt. Express 22(13), 16178–16187 (2014).
[Crossref] [PubMed]

2013 (6)

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] [PubMed]

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(14), 2621–2624 (2013).
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I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, S. Liu, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, and I. Brener, “Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks,” ACS Nano 7(9), 7824–7832 (2013).
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X. Ni, A. V. Kildishev, and V. M. Shalaev, “Metasurface holograms for visible light,” Nat. Commun. 4, 2807 (2013).
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Z. Wei, Y. Cao, X. Su, Z. Gong, Y. Long, and H. Li, “Highly efficient beam steering with a transparent metasurface,” Opt. Express 21(9), 10739–10745 (2013).
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A. V. Kildishev and V. M. Shalaev, “Planar Photonics with Metasurfaces,” Science 339(6125), 12889–1289 (2013).
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2012 (2)

J. M. Geffrin, B. García-Cámara, R. Gómez-Medina, P. Albella, L. S. Froufe-Pérez, C. Eyraud, A. Litman, R. Vaillon, F. González, and M. Nieto-Vesperinas, “Magnetic and electric coherence in forward- and back-scattered electromagnetic waves by a single dielectric subwavelength sphere,” Nat. Commun. 3, 1171 (2012).
[Crossref] [PubMed]

R. Gomezmedina, L. Froufeperez, M. Yepez, F. Scheffold, M. Nietovesperinas, and J. J. Saenz, “Negative scattering asymmetry parameter for dipolar particles: Unusual reduction of the transport mean free path and radiation pressure,” Phys. Rev. A 85, 035802 (2012).
[Crossref]

2011 (2)

M. Nietovesperinas, R. Gomezmedina, and J. J. Saenz, “Angle-suppressed scattering and optical forces on submicrometer dielectric particles,” J. Opt. Soc. Am. A 28(1), 54–60 (2011).
[Crossref]

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light Propagation with Phase Discontinuities Reflection and Refraction,” Science 334(6054), 333–337 (2011).
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2010 (1)

N. Engheta, “How does zero forward-scattering in magnetodielectric nanoparticles comply with the optical theorem?” J. Nanophotonics 4, 041590 (2010).
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2000 (1)

F. A. Pinheiro, “New effects in light scattering in disordered media and coherent backscattering cone: systems of magnetic particles,” Phys. Rev. Lett. 84(7), 1435–1438 (2000).
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1983 (1)

Ahmed, N.

Aieta, F.

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light Propagation with Phase Discontinuities Reflection and Refraction,” Science 334(6054), 333–337 (2011).
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Alaee, R.

Albella, P.

J. M. Geffrin, B. García-Cámara, R. Gómez-Medina, P. Albella, L. S. Froufe-Pérez, C. Eyraud, A. Litman, R. Vaillon, F. González, and M. Nieto-Vesperinas, “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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Algorri, J. F.

J. F. Algorri, B. García-Cámara, A. Cuadrado, J. M. Sánchez-Pena, and R. Vergaz, “Selective Dielectric Metasurfaces Based on Directional Conditions of Silicon Nanopillars,” Nanomaterials 7(7), 177 (2017).
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Ali, M.

M. Ali, A. E. Miroshnichenko, I. V. Shadrivov, and Y. S. Kivshar, “Optical Metacages,” Phys. Rev. Lett. 115, 215501 (2015).
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Alizadeh, M. H.

Alu, A.

Y. Ra’Di, D. L. Sounas, and A. Alu, “Metagratings: Beyond the Limits of Graded Metasurfaces for Wave Front Control,” Phys. Rev. Lett. 119, 067404 (2017).
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Andersen, S. K.

Arbabi, A.

Z. Wang, Y. Yan, A. Arbabi, G. Xie, C. Liu, Z. Zhao, Y. Ren, L. Li, N. Ahmed, and A. J. Willner, “Orbital angular momentum beams generated by passive dielectric phase masks and their performance in a communication link,” Opt. Lett. 42(14), 2746–2749 (2017).
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A. Arbabi, H. Yu, M. Bagheri, and A. Faraon, “Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission,” Nat. Nanotechnol. 10(11), 937–943 (2015).
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Arbouet, A.

P. R. Wiecha, A. Cuche, A. Arbouet, C. Girard, G. C. D. Francs, A. Lecestre, G. Larrieu, F. Fournel, V. Larrey, and T. Baron, “Strongly Directional Scattering from Dielectric Nanowires,” ACS Photonics 4, 2036–2046 (2017).
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Asadchy, V. S.

A. Dĺazrubio, V. S. Asadchy, A. Elsakka, and S. A. Tretyakov, “From the generalized reflection law to the realization of perfect anomalous reflectors,” Sci. Adv. 3, e1602714 (2017).
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V. S. Asadchy, A. Wickberg, A. Díazrubio, and M. Wegener, “Eliminating Scattering Loss in Anomalously Reflecting Optical Metasurfaces,” ACS Photonics 4(5), 1264–1270 (2017).
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Babicheva, V. E.

V. E. Babicheva and A. B. Evlyukhin, “Resonant Lattice Kerker Effect in Metasurfaces With Electric and Magnetic Optical Responses,” Laser Photon. Rev.,  11, 1700132 (2017).
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Bagheri, M.

A. Arbabi, H. Yu, M. Bagheri, and A. Faraon, “Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission,” Nat. Nanotechnol. 10(11), 937–943 (2015).
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Baron, A.

R. Dezert, P. Richetti, and A. Baron, “Isotropic Huygens dipoles and multipoles with colloidal particles,” Phys. Rev. B 96, 180201 (2017).
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Baron, T.

P. R. Wiecha, A. Cuche, A. Arbouet, C. Girard, G. C. D. Francs, A. Lecestre, G. Larrieu, F. Fournel, V. Larrey, and T. Baron, “Strongly Directional Scattering from Dielectric Nanowires,” ACS Photonics 4, 2036–2046 (2017).
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C.F. Bohren and D.R. Huffman, Absorption and Scattering of Light by Small Particles (JohnWiley and Sons, 1998).
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Brener, I.

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(7), 4297–4303 (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(7), 4297–4303 (2017).
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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(6), 813–820 (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(6), 813–820 (2015).
[Crossref]

I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, S. Liu, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, and I. Brener, “Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks,” ACS Nano 7(9), 7824–7832 (2013).
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Brongersma, M.

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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Brongersma, M. L.

D. Lin, P. Fan, E. Hasman, and M. L. Brongersma, “Dielectric gradient metasurface optical elements,” Science 345(6194), 298–302 (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 35(6314), aag2472 (2016).
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Bulgakov, E. N.

E. N. Bulgakov and A. F. Sadreev, “Bloch bound states in the radiation continuum in a periodic array of dielectric rods,” Phys. Rev. A 90, 053801 (2014).
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Cabrini, S.

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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Camachomorales, R.

S. S. Kruk, R. Camachomorales, L. Xu, M. Rahmani, D. A. Smirnova, L. Wang, H. H. Tan, C. Jagadish, D. N. Neshev, and Y. S. Kivshar, “Nonlinear Optical Magnetism Revealed by Second-Harmonic Generation in Nanoantennas,” Nano Lett. 17, 3914–3918 (2017).
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Campione, S.

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(7), 4297–4303 (2017).
[Crossref] [PubMed]

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(7), 4297–4303 (2017).
[Crossref] [PubMed]

Cao, Y.

Capasso, F.

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light Propagation with Phase Discontinuities Reflection and Refraction,” Science 334(6054), 333–337 (2011).
[Crossref] [PubMed]

Chai, J.

Chen, H.

J. Yan, P. Liu, Z. Lin, H. Wang, H. Chen, C. Wang, and G. Yang, “Directional Fano Resonance in a Silicon Nanosphere Dimer,” ACS Nano 9(3), 2968–2980 (2015).
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Chen, H. T.

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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Colburn, S.

A. Zhan, S. Colburn, R. Trivedi, T. K. Fryett, C. M. Dodson, and A. Majumdar, “Low contrast dielectric metasurface optics,” in Lasers and Electro-Optics, (2016), paper JW2A.14.

Crozier, K. B.

Cuadrado, A.

J. F. Algorri, B. García-Cámara, A. Cuadrado, J. M. Sánchez-Pena, and R. Vergaz, “Selective Dielectric Metasurfaces Based on Directional Conditions of Silicon Nanopillars,” Nanomaterials 7(7), 177 (2017).
[Crossref]

Cuche, A.

P. R. Wiecha, A. Cuche, A. Arbouet, C. Girard, G. C. D. Francs, A. Lecestre, G. Larrieu, F. Fournel, V. Larrey, and T. Baron, “Strongly Directional Scattering from Dielectric Nanowires,” ACS Photonics 4, 2036–2046 (2017).
[Crossref]

Dai, S.

Decker, M.

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(6), 813–820 (2015).
[Crossref]

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(6), 813–820 (2015).
[Crossref]

I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, S. Liu, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, and I. Brener, “Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks,” ACS Nano 7(9), 7824–7832 (2013).
[Crossref] [PubMed]

Dezert, R.

R. Dezert, P. Richetti, and A. Baron, “Isotropic Huygens dipoles and multipoles with colloidal particles,” Phys. Rev. B 96, 180201 (2017).
[Crossref]

Dhuey, S.

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).
[Crossref] [PubMed]

Díazrubio, A.

V. S. Asadchy, A. Wickberg, A. Díazrubio, and M. Wegener, “Eliminating Scattering Loss in Anomalously Reflecting Optical Metasurfaces,” ACS Photonics 4(5), 1264–1270 (2017).
[Crossref]

Dlazrubio, A.

A. Dĺazrubio, V. S. Asadchy, A. Elsakka, and S. A. Tretyakov, “From the generalized reflection law to the realization of perfect anomalous reflectors,” Sci. Adv. 3, e1602714 (2017).
[Crossref]

Dodson, C. M.

A. Zhan, S. Colburn, R. Trivedi, T. K. Fryett, C. M. Dodson, and A. Majumdar, “Low contrast dielectric metasurface optics,” in Lasers and Electro-Optics, (2016), paper JW2A.14.

Dominguez, J.

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(6), 813–820 (2015).
[Crossref]

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(6), 813–820 (2015).
[Crossref]

I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, S. Liu, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, and I. Brener, “Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks,” ACS Nano 7(9), 7824–7832 (2013).
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Eleftheriades, G. V.

A. Epstein and G. V. Eleftheriades, “Synthesis of Passive Lossless Metasurfaces Using Auxiliary Fields for Reflectionless Beam Splitting and Perfect Reflection,” Phys. Rev. Lett. 117, 256103 (2016).
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Elsakka, A.

A. Dĺazrubio, V. S. Asadchy, A. Elsakka, and S. A. Tretyakov, “From the generalized reflection law to the realization of perfect anomalous reflectors,” Sci. Adv. 3, e1602714 (2017).
[Crossref]

Engheta, N.

N. Engheta, “How does zero forward-scattering in magnetodielectric nanoparticles comply with the optical theorem?” J. Nanophotonics 4, 041590 (2010).
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Epstein, A.

A. Epstein and G. V. Eleftheriades, “Synthesis of Passive Lossless Metasurfaces Using Auxiliary Fields for Reflectionless Beam Splitting and Perfect Reflection,” Phys. Rev. Lett. 117, 256103 (2016).
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Evlyukhin, A. B.

V. E. Babicheva and A. B. Evlyukhin, “Resonant Lattice Kerker Effect in Metasurfaces With Electric and Magnetic Optical Responses,” Laser Photon. Rev.,  11, 1700132 (2017).
[Crossref]

Eyraud, C.

J. M. Geffrin, B. García-Cámara, R. Gómez-Medina, P. Albella, L. S. Froufe-Pérez, C. Eyraud, A. Litman, R. Vaillon, F. González, and M. Nieto-Vesperinas, “Magnetic and electric coherence in forward- and back-scattered electromagnetic waves by a single dielectric subwavelength sphere,” Nat. Commun. 3, 1171 (2012).
[Crossref] [PubMed]

Falkner, M.

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(6), 813–820 (2015).
[Crossref]

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(6), 813–820 (2015).
[Crossref]

Fan, P.

D. Lin, P. Fan, E. Hasman, and M. L. Brongersma, “Dielectric gradient metasurface optical elements,” Science 345(6194), 298–302 (2016).
[Crossref]

Faraon, A.

A. Arbabi, H. Yu, M. Bagheri, and A. Faraon, “Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission,” Nat. Nanotechnol. 10(11), 937–943 (2015).
[Crossref] [PubMed]

Filter, R.

Fofang, N. T.

I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, S. Liu, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, and I. Brener, “Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks,” ACS Nano 7(9), 7824–7832 (2013).
[Crossref] [PubMed]

Fournel, F.

P. R. Wiecha, A. Cuche, A. Arbouet, C. Girard, G. C. D. Francs, A. Lecestre, G. Larrieu, F. Fournel, V. Larrey, and T. Baron, “Strongly Directional Scattering from Dielectric Nanowires,” ACS Photonics 4, 2036–2046 (2017).
[Crossref]

Francs, G. C. D.

P. R. Wiecha, A. Cuche, A. Arbouet, C. Girard, G. C. D. Francs, A. Lecestre, G. Larrieu, F. Fournel, V. Larrey, and T. Baron, “Strongly Directional Scattering from Dielectric Nanowires,” ACS Photonics 4, 2036–2046 (2017).
[Crossref]

Froufeperez, L.

R. Gomezmedina, L. Froufeperez, M. Yepez, F. Scheffold, M. Nietovesperinas, and J. J. Saenz, “Negative scattering asymmetry parameter for dipolar particles: Unusual reduction of the transport mean free path and radiation pressure,” Phys. Rev. A 85, 035802 (2012).
[Crossref]

Froufe-Pérez, L. S.

J. M. Geffrin, B. García-Cámara, R. Gómez-Medina, P. Albella, L. S. Froufe-Pérez, C. Eyraud, A. Litman, R. Vaillon, F. González, and M. Nieto-Vesperinas, “Magnetic and electric coherence in forward- and back-scattered electromagnetic waves by a single dielectric subwavelength sphere,” Nat. Commun. 3, 1171 (2012).
[Crossref] [PubMed]

Fryett, T. K.

A. Zhan, S. Colburn, R. Trivedi, T. K. Fryett, C. M. Dodson, and A. Majumdar, “Low contrast dielectric metasurface optics,” in Lasers and Electro-Optics, (2016), paper JW2A.14.

Fu, Y. H.

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] [PubMed]

Gaburro, Z.

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light Propagation with Phase Discontinuities Reflection and Refraction,” Science 334(6054), 333–337 (2011).
[Crossref] [PubMed]

García-Cámara, B.

J. F. Algorri, B. García-Cámara, A. Cuadrado, J. M. Sánchez-Pena, and R. Vergaz, “Selective Dielectric Metasurfaces Based on Directional Conditions of Silicon Nanopillars,” Nanomaterials 7(7), 177 (2017).
[Crossref]

J. M. Geffrin, B. García-Cámara, R. Gómez-Medina, P. Albella, L. S. Froufe-Pérez, C. Eyraud, A. Litman, R. Vaillon, F. González, and M. Nieto-Vesperinas, “Magnetic and electric coherence in forward- and back-scattered electromagnetic waves by a single dielectric subwavelength sphere,” Nat. Commun. 3, 1171 (2012).
[Crossref] [PubMed]

Ge, L.

Geffrin, J. M.

J. M. Geffrin, B. García-Cámara, R. Gómez-Medina, P. Albella, L. S. Froufe-Pérez, C. Eyraud, A. Litman, R. Vaillon, F. González, and M. Nieto-Vesperinas, “Magnetic and electric coherence in forward- and back-scattered electromagnetic waves by a single dielectric subwavelength sphere,” Nat. Commun. 3, 1171 (2012).
[Crossref] [PubMed]

Genevet, P.

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light Propagation with Phase Discontinuities Reflection and Refraction,” Science 334(6054), 333–337 (2011).
[Crossref] [PubMed]

Giles, C. L.

Girard, C.

P. R. Wiecha, A. Cuche, A. Arbouet, C. Girard, G. C. D. Francs, A. Lecestre, G. Larrieu, F. Fournel, V. Larrey, and T. Baron, “Strongly Directional Scattering from Dielectric Nanowires,” ACS Photonics 4, 2036–2046 (2017).
[Crossref]

Gomezmedina, R.

R. Gomezmedina, L. Froufeperez, M. Yepez, F. Scheffold, M. Nietovesperinas, and J. J. Saenz, “Negative scattering asymmetry parameter for dipolar particles: Unusual reduction of the transport mean free path and radiation pressure,” Phys. Rev. A 85, 035802 (2012).
[Crossref]

M. Nietovesperinas, R. Gomezmedina, and J. J. Saenz, “Angle-suppressed scattering and optical forces on submicrometer dielectric particles,” J. Opt. Soc. Am. A 28(1), 54–60 (2011).
[Crossref]

Gómez-Medina, R.

J. M. Geffrin, B. García-Cámara, R. Gómez-Medina, P. Albella, L. S. Froufe-Pérez, C. Eyraud, A. Litman, R. Vaillon, F. González, and M. Nieto-Vesperinas, “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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Gong, Z.

Gonzales, E.

I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, S. Liu, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, and I. Brener, “Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks,” ACS Nano 7(9), 7824–7832 (2013).
[Crossref] [PubMed]

González, F.

J. M. Geffrin, B. García-Cámara, R. Gómez-Medina, P. Albella, L. S. Froufe-Pérez, C. Eyraud, A. Litman, R. Vaillon, F. González, and M. Nieto-Vesperinas, “Magnetic and electric coherence in forward- and back-scattered electromagnetic waves by a single dielectric subwavelength sphere,” Nat. Commun. 3, 1171 (2012).
[Crossref] [PubMed]

Han, D.

Hasman, E.

D. Lin, P. Fan, E. Hasman, and M. L. Brongersma, “Dielectric gradient metasurface optical elements,” Science 345(6194), 298–302 (2016).
[Crossref]

Hess, O.

Hilaire, P. S.

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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Hopkins, B.

S. Kruk, B. Hopkins, I. I. Kravchenko, A. Miroshnichenko, D. N. Neshev, and Y. S. Kivshar, “Invited Article: Broadband highly efficient dielectric metadevices for polarization control,” APL Photonics 1, 030801 (2016).
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Hu, H.

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Shadrivov, I. V.

M. Ali, A. E. Miroshnichenko, I. V. Shadrivov, and Y. S. Kivshar, “Optical Metacages,” Phys. Rev. Lett. 115, 215501 (2015).
[Crossref]

Shalaev, V. M.

A. V. Kildishev and V. M. Shalaev, “Planar Photonics with Metasurfaces,” Science 339(6125), 12889–1289 (2013).
[Crossref]

X. Ni, A. V. Kildishev, and V. M. Shalaev, “Metasurface holograms for visible light,” Nat. Commun. 4, 2807 (2013).
[Crossref]

Shen, B.

B. Shen, P. Wang, R. Polson, and R. Menon, “An integrated-nanophotonics polarization beamsplitter with 2.4×2.4µm2 footprint,” Nat. Photonics 9(6), 378–382 (2015).
[Crossref]

Sinclair, M. B.

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(7), 4297–4303 (2017).
[Crossref] [PubMed]

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(7), 4297–4303 (2017).
[Crossref] [PubMed]

Slovick, B. A.

B. A. Slovick, “Negative refractive index induced by percolation in disordered metamaterials,” Phys. Rev. B 95, 094202 (2016).
[Crossref]

Smirnova, D. A.

S. S. Kruk, R. Camachomorales, L. Xu, M. Rahmani, D. A. Smirnova, L. Wang, H. H. Tan, C. Jagadish, D. N. Neshev, and Y. S. Kivshar, “Nonlinear Optical Magnetism Revealed by Second-Harmonic Generation in Nanoantennas,” Nano Lett. 17, 3914–3918 (2017).
[Crossref] [PubMed]

Song, J.

W. Zhao, H. Jiang, B. Liu, J. Song, Y. Jiang, C. Tang, and J. Li, “Dielectric Huygens’ Metasurface for High-Efficiency Hologram Operating in Transmission Mode,” Sci. Rep. 6, 30613 (2016).
[Crossref]

Song, Q.

Sounas, D. L.

Y. Ra’Di, D. L. Sounas, and A. Alu, “Metagratings: Beyond the Limits of Graded Metasurfaces for Wave Front Control,” Phys. Rev. Lett. 119, 067404 (2017).
[Crossref]

Staude, I.

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(7), 4297–4303 (2017).
[Crossref] [PubMed]

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(7), 4297–4303 (2017).
[Crossref] [PubMed]

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(6), 813–820 (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(6), 813–820 (2015).
[Crossref]

I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, S. Liu, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, and I. Brener, “Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks,” ACS Nano 7(9), 7824–7832 (2013).
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Su, X.

Tan, H. H.

S. S. Kruk, R. Camachomorales, L. Xu, M. Rahmani, D. A. Smirnova, L. Wang, H. H. Tan, C. Jagadish, D. N. Neshev, and Y. S. Kivshar, “Nonlinear Optical Magnetism Revealed by Second-Harmonic Generation in Nanoantennas,” Nano Lett. 17, 3914–3918 (2017).
[Crossref] [PubMed]

Tang, C.

W. Zhao, H. Jiang, B. Liu, J. Song, Y. Jiang, C. Tang, and J. Li, “Dielectric Huygens’ Metasurface for High-Efficiency Hologram Operating in Transmission Mode,” Sci. Rep. 6, 30613 (2016).
[Crossref]

Taylor, A. J.

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

Tetienne, J. P.

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light Propagation with Phase Discontinuities Reflection and Refraction,” Science 334(6054), 333–337 (2011).
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Tretyakov, S. A.

A. Dĺazrubio, V. S. Asadchy, A. Elsakka, and S. A. Tretyakov, “From the generalized reflection law to the realization of perfect anomalous reflectors,” Sci. Adv. 3, e1602714 (2017).
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Trivedi, R.

A. Zhan, S. Colburn, R. Trivedi, T. K. Fryett, C. M. Dodson, and A. Majumdar, “Low contrast dielectric metasurface optics,” in Lasers and Electro-Optics, (2016), paper JW2A.14.

Vaillon, R.

J. M. Geffrin, B. García-Cámara, R. Gómez-Medina, P. Albella, L. S. Froufe-Pérez, C. Eyraud, A. Litman, R. Vaillon, F. González, and M. Nieto-Vesperinas, “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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H.C. van de Hulst, Light Scattering by small particles (Dover, 1981).

Vaskin, A.

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(7), 4297–4303 (2017).
[Crossref] [PubMed]

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(7), 4297–4303 (2017).
[Crossref] [PubMed]

Vergaz, R.

J. F. Algorri, B. García-Cámara, A. Cuadrado, J. M. Sánchez-Pena, and R. Vergaz, “Selective Dielectric Metasurfaces Based on Directional Conditions of Silicon Nanopillars,” Nanomaterials 7(7), 177 (2017).
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Wang, B. X.

Wang, C.

J. Yan, P. Liu, Z. Lin, H. Wang, H. Chen, C. Wang, and G. Yang, “Directional Fano Resonance in a Silicon Nanosphere Dimer,” ACS Nano 9(3), 2968–2980 (2015).
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Wang, D. S.

Wang, H.

J. Yan, P. Liu, Z. Lin, H. Wang, H. Chen, C. Wang, and G. Yang, “Directional Fano Resonance in a Silicon Nanosphere Dimer,” ACS Nano 9(3), 2968–2980 (2015).
[Crossref] [PubMed]

Wang, L.

S. S. Kruk, R. Camachomorales, L. Xu, M. Rahmani, D. A. Smirnova, L. Wang, H. H. Tan, C. Jagadish, D. N. Neshev, and Y. S. Kivshar, “Nonlinear Optical Magnetism Revealed by Second-Harmonic Generation in Nanoantennas,” Nano Lett. 17, 3914–3918 (2017).
[Crossref] [PubMed]

Wang, P.

B. Shen, P. Wang, R. Polson, and R. Menon, “An integrated-nanophotonics polarization beamsplitter with 2.4×2.4µm2 footprint,” Nat. Photonics 9(6), 378–382 (2015).
[Crossref]

Wang, Y.

Z. J. Wong, X. Ni, M. Mrejen, Y. Wang, and X. Zhang, “An ultrathin invisibility skin cloak for visible light,” Science 349(6254), 1310–1314 (2015).
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Wang, Z.

Wegener, M.

V. S. Asadchy, A. Wickberg, A. Díazrubio, and M. Wegener, “Eliminating Scattering Loss in Anomalously Reflecting Optical Metasurfaces,” ACS Photonics 4(5), 1264–1270 (2017).
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Wen, S.

Y. Liu, Y. Ke, H. Luo, and S. Wen, “Photonic spin Hall effect in metasurfaces: a brief review,” Nanophotonics 6(1), 51–70 (2016).
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V. S. Asadchy, A. Wickberg, A. Díazrubio, and M. Wegener, “Eliminating Scattering Loss in Anomalously Reflecting Optical Metasurfaces,” ACS Photonics 4(5), 1264–1270 (2017).
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Wolf, O.

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(7), 4297–4303 (2017).
[Crossref] [PubMed]

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(7), 4297–4303 (2017).
[Crossref] [PubMed]

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Z. J. Wong, X. Ni, M. Mrejen, Y. Wang, and X. Zhang, “An ultrathin invisibility skin cloak for visible light,” Science 349(6254), 1310–1314 (2015).
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Xiang, H.

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Xie, W.

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S. S. Kruk, R. Camachomorales, L. Xu, M. Rahmani, D. A. Smirnova, L. Wang, H. H. Tan, C. Jagadish, D. N. Neshev, and Y. S. Kivshar, “Nonlinear Optical Magnetism Revealed by Second-Harmonic Generation in Nanoantennas,” Nano Lett. 17, 3914–3918 (2017).
[Crossref] [PubMed]

Yan, J.

J. Yan, P. Liu, Z. Lin, H. Wang, H. Chen, C. Wang, and G. Yang, “Directional Fano Resonance in a Silicon Nanosphere Dimer,” ACS Nano 9(3), 2968–2980 (2015).
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Yan, Y.

Yang, G.

J. Yan, P. Liu, Z. Lin, H. Wang, H. Chen, C. Wang, and G. Yang, “Directional Fano Resonance in a Silicon Nanosphere Dimer,” ACS Nano 9(3), 2968–2980 (2015).
[Crossref] [PubMed]

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R. Gomezmedina, L. Froufeperez, M. Yepez, F. Scheffold, M. Nietovesperinas, and J. J. Saenz, “Negative scattering asymmetry parameter for dipolar particles: Unusual reduction of the transport mean free path and radiation pressure,” Phys. Rev. A 85, 035802 (2012).
[Crossref]

Yu, H.

A. Arbabi, H. Yu, M. Bagheri, and A. Faraon, “Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission,” Nat. Nanotechnol. 10(11), 937–943 (2015).
[Crossref] [PubMed]

Yu, N.

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

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light Propagation with Phase Discontinuities Reflection and Refraction,” Science 334(6054), 333–337 (2011).
[Crossref] [PubMed]

Yu, Y. F.

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] [PubMed]

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A. Zhan, S. Colburn, R. Trivedi, T. K. Fryett, C. M. Dodson, and A. Majumdar, “Low contrast dielectric metasurface optics,” in Lasers and Electro-Optics, (2016), paper JW2A.14.

Zhang, J.

Zhang, X.

Z. J. Wong, X. Ni, M. Mrejen, Y. Wang, and X. Zhang, “An ultrathin invisibility skin cloak for visible light,” Science 349(6254), 1310–1314 (2015).
[Crossref] [PubMed]

Zhao, C. Y.

Zhao, W.

W. Zhao, H. Jiang, B. Liu, J. Song, Y. Jiang, C. Tang, and J. Li, “Dielectric Huygens’ Metasurface for High-Efficiency Hologram Operating in Transmission Mode,” Sci. Rep. 6, 30613 (2016).
[Crossref]

Zhao, Z.

Zhu, W.

ACS Nano (2)

I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, S. Liu, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, and I. Brener, “Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks,” ACS Nano 7(9), 7824–7832 (2013).
[Crossref] [PubMed]

J. Yan, P. Liu, Z. Lin, H. Wang, H. Chen, C. Wang, and G. Yang, “Directional Fano Resonance in a Silicon Nanosphere Dimer,” ACS Nano 9(3), 2968–2980 (2015).
[Crossref] [PubMed]

ACS Photonics (3)

V. S. Asadchy, A. Wickberg, A. Díazrubio, and M. Wegener, “Eliminating Scattering Loss in Anomalously Reflecting Optical Metasurfaces,” ACS Photonics 4(5), 1264–1270 (2017).
[Crossref]

P. R. Wiecha, A. Cuche, A. Arbouet, C. Girard, G. C. D. Francs, A. Lecestre, G. Larrieu, F. Fournel, V. Larrey, and T. Baron, “Strongly Directional Scattering from Dielectric Nanowires,” ACS Photonics 4, 2036–2046 (2017).
[Crossref]

S. S. Kruk and Y. S. Kivshar, “Functional meta-optics and nanophotonics govern by Mie resonances,” ACS Photonics 4(11), 2638–3649 (2017).
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Adv. Opt. Mater. (2)

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(6), 813–820 (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(6), 813–820 (2015).
[Crossref]

Adv. Opt. Photon. (1)

APL Photonics (1)

S. Kruk, B. Hopkins, I. I. Kravchenko, A. Miroshnichenko, D. N. Neshev, and Y. S. Kivshar, “Invited Article: Broadband highly efficient dielectric metadevices for polarization control,” APL Photonics 1, 030801 (2016).
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J. Nanophotonics (1)

N. Engheta, “How does zero forward-scattering in magnetodielectric nanoparticles comply with the optical theorem?” J. Nanophotonics 4, 041590 (2010).
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J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (1)

Laser Photon. Rev. (2)

W. Liu and A. E. Miroshnichenko, “Scattering Invisibility With Free–Space Field Enhancement of All–Dielectric Nanoparticles,” Laser Photon. Rev. 11, 1700103 (2017).
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Nano Lett. (3)

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(7), 4297–4303 (2017).
[Crossref] [PubMed]

S. S. Kruk, R. Camachomorales, L. Xu, M. Rahmani, D. A. Smirnova, L. Wang, H. H. Tan, C. Jagadish, D. N. Neshev, and Y. S. Kivshar, “Nonlinear Optical Magnetism Revealed by Second-Harmonic Generation in Nanoantennas,” Nano Lett. 17, 3914–3918 (2017).
[Crossref] [PubMed]

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(7), 4297–4303 (2017).
[Crossref] [PubMed]

Nanomaterials (1)

J. F. Algorri, B. García-Cámara, A. Cuadrado, J. M. Sánchez-Pena, and R. Vergaz, “Selective Dielectric Metasurfaces Based on Directional Conditions of Silicon Nanopillars,” Nanomaterials 7(7), 177 (2017).
[Crossref]

Nanophotonics (1)

Y. Liu, Y. Ke, H. Luo, and S. Wen, “Photonic spin Hall effect in metasurfaces: a brief review,” Nanophotonics 6(1), 51–70 (2016).
[Crossref]

Nat. Commun. (3)

X. Ni, A. V. Kildishev, and V. M. Shalaev, “Metasurface holograms for visible light,” Nat. Commun. 4, 2807 (2013).
[Crossref]

J. M. Geffrin, B. García-Cámara, R. Gómez-Medina, P. Albella, L. S. Froufe-Pérez, C. Eyraud, A. Litman, R. Vaillon, F. González, and M. Nieto-Vesperinas, “Magnetic and electric coherence in forward- and back-scattered electromagnetic waves by a single dielectric subwavelength sphere,” Nat. Commun. 3, 1171 (2012).
[Crossref] [PubMed]

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).
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Nat. Nanotechnol. (2)

S. Jahani and Z. Jacob, “All-dielectric metamaterials,” Nat. Nanotechnol. 11(1), 23–36 (2016).
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A. Arbabi, H. Yu, M. Bagheri, and A. Faraon, “Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission,” Nat. Nanotechnol. 10(11), 937–943 (2015).
[Crossref] [PubMed]

Nat. Photonics (1)

B. Shen, P. Wang, R. Polson, and R. Menon, “An integrated-nanophotonics polarization beamsplitter with 2.4×2.4µm2 footprint,” Nat. Photonics 9(6), 378–382 (2015).
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Opt. Express (7)

Opt. Lett. (3)

Optica (1)

Phil. R. Soc. Lond. A (1)

W. Liu and Y. S. Kivshar, “Multipolar interference effects in nanophotonics,” Phil. R. Soc. Lond. A 375, 20160317 (2016).
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R. Gomezmedina, L. Froufeperez, M. Yepez, F. Scheffold, M. Nietovesperinas, and J. J. Saenz, “Negative scattering asymmetry parameter for dipolar particles: Unusual reduction of the transport mean free path and radiation pressure,” Phys. Rev. A 85, 035802 (2012).
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W. Liu, “Superscattering pattern shaping for radially anisotropic nanowires,” Phys. Rev. A 96, 023854 (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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R. Dezert, P. Richetti, and A. Baron, “Isotropic Huygens dipoles and multipoles with colloidal particles,” Phys. Rev. B 96, 180201 (2017).
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B. A. Slovick, “Negative refractive index induced by percolation in disordered metamaterials,” Phys. Rev. B 95, 094202 (2016).
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M. Ali, A. E. Miroshnichenko, I. V. Shadrivov, and Y. S. Kivshar, “Optical Metacages,” Phys. Rev. Lett. 115, 215501 (2015).
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Y. Ra’Di, D. L. Sounas, and A. Alu, “Metagratings: Beyond the Limits of Graded Metasurfaces for Wave Front Control,” Phys. Rev. Lett. 119, 067404 (2017).
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Rep. Prog. Phys. (1)

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

Sci. Adv. (1)

A. Dĺazrubio, V. S. Asadchy, A. Elsakka, and S. A. Tretyakov, “From the generalized reflection law to the realization of perfect anomalous reflectors,” Sci. Adv. 3, e1602714 (2017).
[Crossref]

Sci. Rep. (2)

W. Zhao, H. Jiang, B. Liu, J. Song, Y. Jiang, C. Tang, and J. Li, “Dielectric Huygens’ Metasurface for High-Efficiency Hologram Operating in Transmission Mode,” Sci. Rep. 6, 30613 (2016).
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Science (5)

A. I. Kuznetsov, A. E. Miroshnichenko, M. L. Brongersma, Y. S. Kivshar, and B. Luk’Yanchuk, “Optically resonant dielectric nanostructures,” Science 35(6314), aag2472 (2016).
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Z. J. Wong, X. Ni, M. Mrejen, Y. Wang, and X. Zhang, “An ultrathin invisibility skin cloak for visible light,” Science 349(6254), 1310–1314 (2015).
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N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light Propagation with Phase Discontinuities Reflection and Refraction,” Science 334(6054), 333–337 (2011).
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A. V. Kildishev and V. M. Shalaev, “Planar Photonics with Metasurfaces,” Science 339(6125), 12889–1289 (2013).
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D. Lin, P. Fan, E. Hasman, and M. L. Brongersma, “Dielectric gradient metasurface optical elements,” Science 345(6194), 298–302 (2016).
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W. Liu and A. E. Miroshnichenko, “Beam Steering with Dielectric Metalattices,” ACS Photonic, https://arxiv.org/abs/1710.03380 (2017).

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Figures (11)

Fig. 1
Fig. 1 (a) Schematic of the scattering of normally incident plane waves by a cylinder. The right row shows two polarized waves: (1) p–polarization and (2) s–polarization. (b) Real (n) and imaginary (κ) part of the refractive index of c-Si considered in this paper.
Fig. 2
Fig. 2 Scattering efficiency spectra of (a) s-polarized waves and (b) p-polarized waves, including total and contribution from EDs, MDs and MQs (EQs). Obviously, the contribution from quadrupole can be ignored reasonably. The right row shows the representative scattering patterns for two polarized waves and the corresponding working wavelengths and the values of scattering asymmetric factor are listed as following: a : λ = 0.43 µm, gs = 0.43, c : λ = 0.55 µm, gs = 0.64; C : λ = 0.52 µm, gp = −0.38, D : λ = 0.68 µm, gp = 0.7.
Fig. 3
Fig. 3 (a) Schematic illustration of the wave scattered by the proposed one-dimensional metalattice consisting of c-Si nanocylinders. (b) The extinction ratios for transmission βT (the left line) and reflection βR (the right line) in units of decibel (dB) which measure the efficiency of the linear polarization conversion.
Fig. 4
Fig. 4 (a) Numerical results of transmission (red lines) and reflection (blue lines) spectra of p-polarized waves (top) and s-polarized waves (bottom). (b) The extinction ratios for transmission βT (bottom) and reflection βR (top), including T 0 s / T 0 p and R 0 p / R 0 s within a certain waveband around λ = 0.58 µm.
Fig. 5
Fig. 5 The comparison results about the scattering coefficients for an individual meta-atom and the meta-atom embedded in the 1D metalattice with d = 0.32 µm at λ = 0.58 µm, corresponding with the scattering patterns (the right row) for (a) s polarization and (b) p–polarization, respectively. The insets in the left plots of (a) and (b)–illustrate the incident conditions for s-polarization (left, the electric field is perpendicular to the lattice direction) and p-polarization (right, the magnetic field is perpendicular to the lattice direction).
Fig. 6
Fig. 6 (a) The transmission and reflection spectra for both polarized waves calculated with the scattering coefficients of an isolated cylinder. (b) The comparison results of the scattering asymmetry factor gs,p based on the scattering coefficients of an isolated cylinder (the full blue lines) and the lattice cylinder (the dashed red lines). The inset in the top plot in (b) represent the scattering patterns at the spectral position denoted with e.
Fig. 7
Fig. 7 Electric field intensity for (a) p–polarization and (b) s–polarization at three different lattice periods, including (1) d = 0.2 µm, (2) d = 0.32 µm and (3) d = 0.4 µm at λ = 0.58 µm. Three subplots share the same color bar. The red single arrows show the incident direction and the white double arrows denote different lattice periods.
Fig. 8
Fig. 8 Influence of the disordered imperfections on the performance parameters, including (a) transmission T 0 s , p, reflection R 0 s , p and absorption A 0 s , p = 1 T 0 s , p R 0 s , p; (b) extinction ratios for transmission βT and reflection βR. χ is defined as the disordered degree. χ = |Δd|/|Δd|max. (c) Influence of the disordered imperfections in the coupling strength ηs,p as a function of the lattice periods at λ = 0.58 µm.
Fig. 9
Fig. 9 The performance parameters, including transmission T 0 s , p, reflection R 0 s , p, extinction ratios for transmission βT and reflection βR change with the system sizes. The perfect functionality can be well preserved as long as the value of N is not below 20.
Fig. 10
Fig. 10 The performance parameters, including (a) transmission T 0 s , p and reflection R 0 s , p; (b) extinction ratios for transmission βT and reflection βR change with the incident angles.
Fig. 11
Fig. 11 (a) The optimal values of the lattice period d and the radius of cylinders r for different working wavelengths, along with (b) the corresponding extinction ratios for transmission βT and reflection βR at each working wavelength.

Equations (11)

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Q sca s , p = 2 k r m = | a m s , p | 2 ,
d σ s , p d θ = 2 π k | a 0 s , p + 2 m = 1 a m s , p cos ( m θ ) | 2 ,
g s , p = 0 π d σ s , p d θ cos θ d θ 0 π d σ s , p d θ d θ = 0 π d σ s , p d θ cos θ d θ σ s , p .
g s , p = 2 [ ( a 0 s , p ) ( a 1 s , p ) * ] | a 0 s , p | + 2 | a 1 s , p | ,
a ˜ j m s , p + i j N n = Ω j m , i n a n s , p a ˜ i n s , p = a j m s , p ,
R v s , p = | r v s , p ( φ ) | 2 = | 2 d ( 2 N + 1 ) k x k x v j = N N m = ( i k y v + k x v k ) m a ˜ j m s , p | 2 ,
T v s , p = | t v s , p ( φ ) | 2 = | δ 0 v + 2 d ( 2 N + 1 ) k x k x v j = N N m = ( i k y v k x v k ) m a ˜ j m s , p | 2 ,
β T = 10 log 10 ( T 0 s T 0 p ) ,
β R = 10 log 10 ( R 0 p R 0 s ) ,
d σ ˜ s , p d θ = 2 π k [ | a ˜ 00 s , p | 2 + 4 | a ˜ 00 s , p | | a ˜ 01 s , p | cos ( θ ) + 4 | a ˜ 01 s , p cos ( θ ) | 2 ] ,
η s , p = | j = N N a ˜ j 0 s , p | ( 2 N + 1 ) | a 00 s , p | .

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