Abstract

Using the multipole decomposition method, we study resonant evanescent field scattering by cylindrical silicon nanoparticles illuminated in the total internal reflection configuration. Scattering cross sections of nanodisks in the visible spectral range are considered, and the corresponding color representations of scattered radiation under white light illumination are simulated. It is demonstrated that the scattered light color can efficiently be controlled and tuned by the incident light polarization, with the relative contributions of nanodisk multipole moments playing a crucial role in the color formation. The polarization color control in resonant scattering by silicon nanodisks with different aspect ratios is studied in detail. The results obtained suggest new avenues for and exciting prospects in the development of color printing and multicolor displays operating on the basis of all-dielectric nanostructures.

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

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    [Crossref] [PubMed]
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    [Crossref] [PubMed]

2018 (2)

J. Xiang, J. Li, Z. Zhou, S. Jiang, J. Chen, Q. Dai, S. Tie, S. Lan, and X. Wang, “Manipulating the orientations of the electric and magnetic dipoles induced in silicon nanoparticles for multicolor display,” Laser Photon. Rev. 12, 180032 (2018).
[Crossref]

R. Deshpande, V. A. Zenin, F. Ding, N. A. Mortensen, and S. I. Bozhevolnyi, “Direct characterization of near-field coupling in gap plasmon-based metasurfaces,” Nano Lett. 18, 6265–6270 (2018).
[Crossref] [PubMed]

2017 (5)

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

X. Zhu, W. Yan, U. Levy, N. A. Mortensen, and A. Kristensen, “Resonant laser printing of structural colors on high-index dielectric metasurfaces,” Sci. Adv. 3, e1602487 (2017).
[Crossref] [PubMed]

Y. Nagasaki, M. Suzuki, and J. Takahara, “All-dielectric dual-color pixel with subwavelength resolution,” Nano Lett. 17, 7500–7506 (2017).
[Crossref] [PubMed]

A. Kristensen, J. K. W. Yang, S. I. Bozhevolnyi, S. Link, P. Nordlander, N. J. Halas, and N. A. Mortensen, “Plasmonic colour generation,” Nat. Rev. Mater. 2, 16088 (2017).
[Crossref]

J.-M. Guay, A. Calà Lesina, G. Côté, M. Charron, D. Poitras, L. Ramunno, P. Berini, and A. Weck, “Laser-induced plasmonic colours on metals,” Nat. Commun. 8, 16095 (2017).
[Crossref] [PubMed]

2016 (3)

M. Miyata, H. Hatada, and J. Takahara, “Full-color subwavelength printing with gap-plasmonic optical antennas,” Nano Lett. 16, 3166–3172 (2016).
[Crossref] [PubMed]

J. Proust, F. Bedu, B. Gallas, I. Ozerov, and N. Bonod, “All-dielectric colored metasurfaces with silicon Mie resonators,” ACS Nano 10, 7761–7768 (2016).
[Crossref] [PubMed]

A. B. Evlyukhin, T. Fischer, C. Reinhardt, and B. N. Chichkov, “Optical theorem and multipole scattering of light by arbitrarily shaped nanoparticles,” Phys. Rev. B 94, 205434 (2016).
[Crossref]

2015 (4)

A. E. Miroshnichenko, A. B. Evlyukhin, Y. F. Yu, R. M. Bakker, A. Chipouline, A. I. Kuznetsov, B. Luk’yanchuk, B. N. Chichkov, and Y. S. Kivshar, “Nonradiating anapole modes in dielectric nanoparticles,” Nat. Commun. 6, 8069 (2015).
[Crossref] [PubMed]

A. Pors, S. K. H. Andersen, and S. I. Bozhevolnyi, “Unidirectional scattering by nanoparticles near substrates: generalized Kerker conditions,” Opt, Express 23, 28808–28828 (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, 813–820 (2015).
[Crossref]

F. Cheng, J. Gao, L. Stan, D. Rosenmann, D. Czaplewski, and X. Yang, “Aluminum plasmonic metamaterials for structural color printing,” Opt. Express 23, 14552–14560 (2015).
[Crossref] [PubMed]

2014 (1)

A. S. Roberts, A. Pors, O. Albrektsen, and S. I. Bozhevolnyi, “Subwavelength plasmonic color printing protected for ambient use,” Nano Lett. 14, 783–787 (2014).
[Crossref] [PubMed]

2013 (3)

A. B. Evlyukhin, C. Reinhardt, E. Evlyukhin, and B. N. Chichkov, “Multipole analysis of light scattering by arbitrary-shaped nanoparticles on a plane surface,” J. Opt. Soc. Am. B 30, 2589–2598 (2013).
[Crossref]

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

C. Wyman, P.-P. Sloan, and P. Shirley, “Simple analytic approximations to the CIE XYZ color matching functions,” J. Comput. Gr. Techniques 2, 1–11 (2013).

2012 (2)

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).
[Crossref] [PubMed]

A. I. Kuznetsov, A. E. Miroshnichenko, Y. H. Fu, J. Zhang, and B. Luk’yanchuk, “Magnetic light,” Sci. Rep. 2, 492 (2012).
[Crossref] [PubMed]

2011 (3)

A. Garcia-Etxarri, R. Gomez-Medina, L. S. Froufe-Perez, C. Lopez, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, and J. J. Saenz, “Strong magnetic response of submicron Silicon particles in the infrared,” Opt. Express 19, 4815 (2011).
[Crossref] [PubMed]

A.B. Evlyukhin, C. Reinhardt, and B.N. Chichkov, “Multipole light scattering by nonspherical nanoparticles in the discrete dipole approximation,” Phys. Rev. B 84, 235429 (2011).
[Crossref]

J. Chen, J. Ng, Z. Lin, and C. T. Chan, “Optical pulling force,” Nature Photon. 5, 531–534 (2011).
[Crossref]

2010 (2)

L. Cau, P. Fan, E. S. Barnard, A. M. Brown, and M. L. Brongersma, “Tuning the color of silicon nanostructures,” Nano Lett. 10, 2649–2654 (2010).
[Crossref]

A.B. Evlyukhin, C. Reinhardt, A. Seidel, B.S. Luk’yanchuk, and B.N. Chichkov, “Optical response features of Si-nanoparticle arrays,” Phys. Rev. B 82, 045404 (2010).
[Crossref]

2003 (1)

W.-N. Zou and Q.-S. Zheng, “Restricted access Maxwell's multipole representation of traceless symmetric tensors and its application to functions of high-order tensors𠇍, Proc. R. Soc. London, Ser. A 459, 527–538 (2003).
[Crossref]

1993 (1)

Aizpurua, J.

Albrektsen, O.

A. S. Roberts, A. Pors, O. Albrektsen, and S. I. Bozhevolnyi, “Subwavelength plasmonic color printing protected for ambient use,” Nano Lett. 14, 783–787 (2014).
[Crossref] [PubMed]

Andersen, S. K. H.

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

Bakker, R. M.

A. E. Miroshnichenko, A. B. Evlyukhin, Y. F. Yu, R. M. Bakker, A. Chipouline, A. I. Kuznetsov, B. Luk’yanchuk, B. N. Chichkov, and Y. S. Kivshar, “Nonradiating anapole modes in dielectric nanoparticles,” Nat. Commun. 6, 8069 (2015).
[Crossref] [PubMed]

Barchiesi, D.

Barnard, E. S.

L. Cau, P. Fan, E. S. Barnard, A. M. Brown, and M. L. Brongersma, “Tuning the color of silicon nanostructures,” Nano Lett. 10, 2649–2654 (2010).
[Crossref]

Bedu, F.

J. Proust, F. Bedu, B. Gallas, I. Ozerov, and N. Bonod, “All-dielectric colored metasurfaces with silicon Mie resonators,” ACS Nano 10, 7761–7768 (2016).
[Crossref] [PubMed]

Berini, P.

J.-M. Guay, A. Calà Lesina, G. Côté, M. Charron, D. Poitras, L. Ramunno, P. Berini, and A. Weck, “Laser-induced plasmonic colours on metals,” Nat. Commun. 8, 16095 (2017).
[Crossref] [PubMed]

Bohren, C. F.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles(Wiley, New York, 2008).

Bonod, N.

J. Proust, F. Bedu, B. Gallas, I. Ozerov, and N. Bonod, “All-dielectric colored metasurfaces with silicon Mie resonators,” ACS Nano 10, 7761–7768 (2016).
[Crossref] [PubMed]

Bozhevolnyi, S. I.

R. Deshpande, V. A. Zenin, F. Ding, N. A. Mortensen, and S. I. Bozhevolnyi, “Direct characterization of near-field coupling in gap plasmon-based metasurfaces,” Nano Lett. 18, 6265–6270 (2018).
[Crossref] [PubMed]

A. Kristensen, J. K. W. Yang, S. I. Bozhevolnyi, S. Link, P. Nordlander, N. J. Halas, and N. A. Mortensen, “Plasmonic colour generation,” Nat. Rev. Mater. 2, 16088 (2017).
[Crossref]

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

A. S. Roberts, A. Pors, O. Albrektsen, and S. I. Bozhevolnyi, “Subwavelength plasmonic color printing protected for ambient use,” Nano Lett. 14, 783–787 (2014).
[Crossref] [PubMed]

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).
[Crossref] [PubMed]

Brener, I.

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).
[Crossref]

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

Brongersma, M. L.

L. Cau, P. Fan, E. S. Barnard, A. M. Brown, and M. L. Brongersma, “Tuning the color of silicon nanostructures,” Nano Lett. 10, 2649–2654 (2010).
[Crossref]

Brown, A. M.

L. Cau, P. Fan, E. S. Barnard, A. M. Brown, and M. L. Brongersma, “Tuning the color of silicon nanostructures,” Nano Lett. 10, 2649–2654 (2010).
[Crossref]

Calà Lesina, A.

J.-M. Guay, A. Calà Lesina, G. Côté, M. Charron, D. Poitras, L. Ramunno, P. Berini, and A. Weck, “Laser-induced plasmonic colours on metals,” Nat. Commun. 8, 16095 (2017).
[Crossref] [PubMed]

Cau, L.

L. Cau, P. Fan, E. S. Barnard, A. M. Brown, and M. L. Brongersma, “Tuning the color of silicon nanostructures,” Nano Lett. 10, 2649–2654 (2010).
[Crossref]

Chan, C. T.

J. Chen, J. Ng, Z. Lin, and C. T. Chan, “Optical pulling force,” Nature Photon. 5, 531–534 (2011).
[Crossref]

Chantada, L.

Charron, M.

J.-M. Guay, A. Calà Lesina, G. Côté, M. Charron, D. Poitras, L. Ramunno, P. Berini, and A. Weck, “Laser-induced plasmonic colours on metals,” Nat. Commun. 8, 16095 (2017).
[Crossref] [PubMed]

Chen, J.

J. Xiang, J. Li, Z. Zhou, S. Jiang, J. Chen, Q. Dai, S. Tie, S. Lan, and X. Wang, “Manipulating the orientations of the electric and magnetic dipoles induced in silicon nanoparticles for multicolor display,” Laser Photon. Rev. 12, 180032 (2018).
[Crossref]

J. Chen, J. Ng, Z. Lin, and C. T. Chan, “Optical pulling force,” Nature Photon. 5, 531–534 (2011).
[Crossref]

Cheng, F.

Chichkov, B. N.

A. B. Evlyukhin, T. Fischer, C. Reinhardt, and B. N. Chichkov, “Optical theorem and multipole scattering of light by arbitrarily shaped nanoparticles,” Phys. Rev. B 94, 205434 (2016).
[Crossref]

A. E. Miroshnichenko, A. B. Evlyukhin, Y. F. Yu, R. M. Bakker, A. Chipouline, A. I. Kuznetsov, B. Luk’yanchuk, B. N. Chichkov, and Y. S. Kivshar, “Nonradiating anapole modes in dielectric nanoparticles,” Nat. Commun. 6, 8069 (2015).
[Crossref] [PubMed]

A. B. Evlyukhin, C. Reinhardt, E. Evlyukhin, and B. N. Chichkov, “Multipole analysis of light scattering by arbitrary-shaped nanoparticles on a plane surface,” J. Opt. Soc. Am. B 30, 2589–2598 (2013).
[Crossref]

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).
[Crossref] [PubMed]

Chichkov, B.N.

A.B. Evlyukhin, C. Reinhardt, and B.N. Chichkov, “Multipole light scattering by nonspherical nanoparticles in the discrete dipole approximation,” Phys. Rev. B 84, 235429 (2011).
[Crossref]

A.B. Evlyukhin, C. Reinhardt, A. Seidel, B.S. Luk’yanchuk, and B.N. Chichkov, “Optical response features of Si-nanoparticle arrays,” Phys. Rev. B 82, 045404 (2010).
[Crossref]

Chipouline, A.

A. E. Miroshnichenko, A. B. Evlyukhin, Y. F. Yu, R. M. Bakker, A. Chipouline, A. I. Kuznetsov, B. Luk’yanchuk, B. N. Chichkov, and Y. S. Kivshar, “Nonradiating anapole modes in dielectric nanoparticles,” Nat. Commun. 6, 8069 (2015).
[Crossref] [PubMed]

Côté, G.

J.-M. Guay, A. Calà Lesina, G. Côté, M. Charron, D. Poitras, L. Ramunno, P. Berini, and A. Weck, “Laser-induced plasmonic colours on metals,” Nat. Commun. 8, 16095 (2017).
[Crossref] [PubMed]

Czaplewski, D.

Dai, Q.

J. Xiang, J. Li, Z. Zhou, S. Jiang, J. Chen, Q. Dai, S. Tie, S. Lan, and X. Wang, “Manipulating the orientations of the electric and magnetic dipoles induced in silicon nanoparticles for multicolor display,” Laser Photon. Rev. 12, 180032 (2018).
[Crossref]

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, 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, I. Brener, and Y. Kivshar,“Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks,” ACS Nano 7, 7824–7832 (2013).
[Crossref] [PubMed]

Deshpande, R.

R. Deshpande, V. A. Zenin, F. Ding, N. A. Mortensen, and S. I. Bozhevolnyi, “Direct characterization of near-field coupling in gap plasmon-based metasurfaces,” Nano Lett. 18, 6265–6270 (2018).
[Crossref] [PubMed]

Ding, F.

R. Deshpande, V. A. Zenin, F. Ding, N. A. Mortensen, and S. I. Bozhevolnyi, “Direct characterization of near-field coupling in gap plasmon-based metasurfaces,” Nano Lett. 18, 6265–6270 (2018).
[Crossref] [PubMed]

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, 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, I. Brener, and Y. Kivshar,“Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks,” ACS Nano 7, 7824–7832 (2013).
[Crossref] [PubMed]

Eriksen, R. L.

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).
[Crossref] [PubMed]

Evlyukhin, A. B.

A. B. Evlyukhin, T. Fischer, C. Reinhardt, and B. N. Chichkov, “Optical theorem and multipole scattering of light by arbitrarily shaped nanoparticles,” Phys. Rev. B 94, 205434 (2016).
[Crossref]

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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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Evlyukhin, A.B.

A.B. Evlyukhin, C. Reinhardt, and B.N. Chichkov, “Multipole light scattering by nonspherical nanoparticles in the discrete dipole approximation,” Phys. Rev. B 84, 235429 (2011).
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A.B. Evlyukhin, C. Reinhardt, A. Seidel, B.S. Luk’yanchuk, and B.N. Chichkov, “Optical response features of Si-nanoparticle arrays,” Phys. Rev. B 82, 045404 (2010).
[Crossref]

Evlyukhin, E.

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, 813–820 (2015).
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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, I. Brener, and Y. Kivshar,“Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks,” ACS Nano 7, 7824–7832 (2013).
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Fu, Y. H.

A. I. Kuznetsov, A. E. Miroshnichenko, Y. H. Fu, J. Zhang, and B. Luk’yanchuk, “Magnetic light,” Sci. Rep. 2, 492 (2012).
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J. Proust, F. Bedu, B. Gallas, I. Ozerov, and N. Bonod, “All-dielectric colored metasurfaces with silicon Mie resonators,” ACS Nano 10, 7761–7768 (2016).
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Garcia-Etxarri, A.

Gomez-Medina, R.

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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, I. Brener, and Y. Kivshar,“Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks,” ACS Nano 7, 7824–7832 (2013).
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J.-M. Guay, A. Calà Lesina, G. Côté, M. Charron, D. Poitras, L. Ramunno, P. Berini, and A. Weck, “Laser-induced plasmonic colours on metals,” Nat. Commun. 8, 16095 (2017).
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Halas, N. J.

A. Kristensen, J. K. W. Yang, S. I. Bozhevolnyi, S. Link, P. Nordlander, N. J. Halas, and N. A. Mortensen, “Plasmonic colour generation,” Nat. Rev. Mater. 2, 16088 (2017).
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M. Miyata, H. Hatada, and J. Takahara, “Full-color subwavelength printing with gap-plasmonic optical antennas,” Nano Lett. 16, 3166–3172 (2016).
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N. O. Länk, R. Verre, P. Johansson, and M. Käll, “Large-scale silicon nanophotonic metaserfaces with polarization independent near-perfect absorption,” Nano Lett. 17, 3054–3060 (2017).
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N. O. Länk, R. Verre, P. Johansson, and M. Käll, “Large-scale silicon nanophotonic metaserfaces with polarization independent near-perfect absorption,” Nano Lett. 17, 3054–3060 (2017).
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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, I. Brener, and Y. Kivshar,“Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks,” ACS Nano 7, 7824–7832 (2013).
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Kivshar, Y. S.

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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A. E. Miroshnichenko, A. B. Evlyukhin, Y. F. Yu, R. M. Bakker, A. Chipouline, A. I. Kuznetsov, B. Luk’yanchuk, B. N. Chichkov, and Y. S. Kivshar, “Nonradiating anapole modes in dielectric nanoparticles,” Nat. Commun. 6, 8069 (2015).
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A. Kristensen, J. K. W. Yang, S. I. Bozhevolnyi, S. Link, P. Nordlander, N. J. Halas, and N. A. Mortensen, “Plasmonic colour generation,” Nat. Rev. Mater. 2, 16088 (2017).
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X. Zhu, W. Yan, U. Levy, N. A. Mortensen, and A. Kristensen, “Resonant laser printing of structural colors on high-index dielectric metasurfaces,” Sci. Adv. 3, e1602487 (2017).
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A. E. Miroshnichenko, A. B. Evlyukhin, Y. F. Yu, R. M. Bakker, A. Chipouline, A. I. Kuznetsov, B. Luk’yanchuk, B. N. Chichkov, and Y. S. Kivshar, “Nonradiating anapole modes in dielectric nanoparticles,” Nat. Commun. 6, 8069 (2015).
[Crossref] [PubMed]

A. I. Kuznetsov, A. E. Miroshnichenko, Y. H. Fu, J. Zhang, and B. Luk’yanchuk, “Magnetic light,” Sci. Rep. 2, 492 (2012).
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J. Xiang, J. Li, Z. Zhou, S. Jiang, J. Chen, Q. Dai, S. Tie, S. Lan, and X. Wang, “Manipulating the orientations of the electric and magnetic dipoles induced in silicon nanoparticles for multicolor display,” Laser Photon. Rev. 12, 180032 (2018).
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N. O. Länk, R. Verre, P. Johansson, and M. Käll, “Large-scale silicon nanophotonic metaserfaces with polarization independent near-perfect absorption,” Nano Lett. 17, 3054–3060 (2017).
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X. Zhu, W. Yan, U. Levy, N. A. Mortensen, and A. Kristensen, “Resonant laser printing of structural colors on high-index dielectric metasurfaces,” Sci. Adv. 3, e1602487 (2017).
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J. Xiang, J. Li, Z. Zhou, S. Jiang, J. Chen, Q. Dai, S. Tie, S. Lan, and X. Wang, “Manipulating the orientations of the electric and magnetic dipoles induced in silicon nanoparticles for multicolor display,” Laser Photon. Rev. 12, 180032 (2018).
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J. Chen, J. Ng, Z. Lin, and C. T. Chan, “Optical pulling force,” Nature Photon. 5, 531–534 (2011).
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A. Kristensen, J. K. W. Yang, S. I. Bozhevolnyi, S. Link, P. Nordlander, N. J. Halas, and N. A. Mortensen, “Plasmonic colour generation,” Nat. Rev. Mater. 2, 16088 (2017).
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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, I. Brener, and Y. Kivshar,“Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks,” ACS Nano 7, 7824–7832 (2013).
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Luk, T. S.

I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, S. Liu, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, I. Brener, and Y. Kivshar,“Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks,” ACS Nano 7, 7824–7832 (2013).
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A. E. Miroshnichenko, A. B. Evlyukhin, Y. F. Yu, R. M. Bakker, A. Chipouline, A. I. Kuznetsov, B. Luk’yanchuk, B. N. Chichkov, and Y. S. Kivshar, “Nonradiating anapole modes in dielectric nanoparticles,” Nat. Commun. 6, 8069 (2015).
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A. I. Kuznetsov, A. E. Miroshnichenko, Y. H. Fu, J. Zhang, and B. Luk’yanchuk, “Magnetic light,” Sci. Rep. 2, 492 (2012).
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Luk’yanchuk, B.S.

A.B. Evlyukhin, C. Reinhardt, A. Seidel, B.S. Luk’yanchuk, and B.N. Chichkov, “Optical response features of Si-nanoparticle arrays,” Phys. Rev. B 82, 045404 (2010).
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A. E. Miroshnichenko, A. B. Evlyukhin, Y. F. Yu, R. M. Bakker, A. Chipouline, A. I. Kuznetsov, B. Luk’yanchuk, B. N. Chichkov, and Y. S. Kivshar, “Nonradiating anapole modes in dielectric nanoparticles,” Nat. Commun. 6, 8069 (2015).
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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, I. Brener, and Y. Kivshar,“Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks,” ACS Nano 7, 7824–7832 (2013).
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A. I. Kuznetsov, A. E. Miroshnichenko, Y. H. Fu, J. Zhang, and B. Luk’yanchuk, “Magnetic light,” Sci. Rep. 2, 492 (2012).
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M. Miyata, H. Hatada, and J. Takahara, “Full-color subwavelength printing with gap-plasmonic optical antennas,” Nano Lett. 16, 3166–3172 (2016).
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Mortensen, N. A.

R. Deshpande, V. A. Zenin, F. Ding, N. A. Mortensen, and S. I. Bozhevolnyi, “Direct characterization of near-field coupling in gap plasmon-based metasurfaces,” Nano Lett. 18, 6265–6270 (2018).
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A. Kristensen, J. K. W. Yang, S. I. Bozhevolnyi, S. Link, P. Nordlander, N. J. Halas, and N. A. Mortensen, “Plasmonic colour generation,” Nat. Rev. Mater. 2, 16088 (2017).
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X. Zhu, W. Yan, U. Levy, N. A. Mortensen, and A. Kristensen, “Resonant laser printing of structural colors on high-index dielectric metasurfaces,” Sci. Adv. 3, e1602487 (2017).
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Y. Nagasaki, M. Suzuki, and J. Takahara, “All-dielectric dual-color pixel with subwavelength resolution,” Nano Lett. 17, 7500–7506 (2017).
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Neshev, D. N.

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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I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, S. Liu, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, I. Brener, and Y. Kivshar,“Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks,” ACS Nano 7, 7824–7832 (2013).
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J. Chen, J. Ng, Z. Lin, and C. T. Chan, “Optical pulling force,” Nature Photon. 5, 531–534 (2011).
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Nordlander, P.

A. Kristensen, J. K. W. Yang, S. I. Bozhevolnyi, S. Link, P. Nordlander, N. J. Halas, and N. A. Mortensen, “Plasmonic colour generation,” Nat. Rev. Mater. 2, 16088 (2017).
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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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L. Novotny and B. Hecht, Principles of Nano-Optics (Cambridge U.P., 2012).
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J. Proust, F. Bedu, B. Gallas, I. Ozerov, and N. Bonod, “All-dielectric colored metasurfaces with silicon Mie resonators,” ACS Nano 10, 7761–7768 (2016).
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E. Palik, Handbook of Optical Constant of Solids (Academic, San Diego, CA, 1985).

Pertsch, T.

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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Poitras, D.

J.-M. Guay, A. Calà Lesina, G. Côté, M. Charron, D. Poitras, L. Ramunno, P. Berini, and A. Weck, “Laser-induced plasmonic colours on metals,” Nat. Commun. 8, 16095 (2017).
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A. S. Roberts, A. Pors, O. Albrektsen, and S. I. Bozhevolnyi, “Subwavelength plasmonic color printing protected for ambient use,” Nano Lett. 14, 783–787 (2014).
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J. Proust, F. Bedu, B. Gallas, I. Ozerov, and N. Bonod, “All-dielectric colored metasurfaces with silicon Mie resonators,” ACS Nano 10, 7761–7768 (2016).
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J.-M. Guay, A. Calà Lesina, G. Côté, M. Charron, D. Poitras, L. Ramunno, P. Berini, and A. Weck, “Laser-induced plasmonic colours on metals,” Nat. Commun. 8, 16095 (2017).
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Reinhardt, C.

A. B. Evlyukhin, T. Fischer, C. Reinhardt, and B. N. Chichkov, “Optical theorem and multipole scattering of light by arbitrarily shaped nanoparticles,” Phys. Rev. B 94, 205434 (2016).
[Crossref]

A. B. Evlyukhin, C. Reinhardt, E. Evlyukhin, and B. N. Chichkov, “Multipole analysis of light scattering by arbitrary-shaped nanoparticles on a plane surface,” J. Opt. Soc. Am. B 30, 2589–2598 (2013).
[Crossref]

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).
[Crossref] [PubMed]

A.B. Evlyukhin, C. Reinhardt, and B.N. Chichkov, “Multipole light scattering by nonspherical nanoparticles in the discrete dipole approximation,” Phys. Rev. B 84, 235429 (2011).
[Crossref]

A.B. Evlyukhin, C. Reinhardt, A. Seidel, B.S. Luk’yanchuk, and B.N. Chichkov, “Optical response features of Si-nanoparticle arrays,” Phys. Rev. B 82, 045404 (2010).
[Crossref]

Roberts, A. S.

A. S. Roberts, A. Pors, O. Albrektsen, and S. I. Bozhevolnyi, “Subwavelength plasmonic color printing protected for ambient use,” Nano Lett. 14, 783–787 (2014).
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Saenz, J. J.

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A.B. Evlyukhin, C. Reinhardt, A. Seidel, B.S. Luk’yanchuk, and B.N. Chichkov, “Optical response features of Si-nanoparticle arrays,” Phys. Rev. B 82, 045404 (2010).
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C. Wyman, P.-P. Sloan, and P. Shirley, “Simple analytic approximations to the CIE XYZ color matching functions,” J. Comput. Gr. Techniques 2, 1–11 (2013).

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Staude, I.

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).
[Crossref]

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

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Y. Nagasaki, M. Suzuki, and J. Takahara, “All-dielectric dual-color pixel with subwavelength resolution,” Nano Lett. 17, 7500–7506 (2017).
[Crossref] [PubMed]

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Y. Nagasaki, M. Suzuki, and J. Takahara, “All-dielectric dual-color pixel with subwavelength resolution,” Nano Lett. 17, 7500–7506 (2017).
[Crossref] [PubMed]

M. Miyata, H. Hatada, and J. Takahara, “Full-color subwavelength printing with gap-plasmonic optical antennas,” Nano Lett. 16, 3166–3172 (2016).
[Crossref] [PubMed]

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J. Xiang, J. Li, Z. Zhou, S. Jiang, J. Chen, Q. Dai, S. Tie, S. Lan, and X. Wang, “Manipulating the orientations of the electric and magnetic dipoles induced in silicon nanoparticles for multicolor display,” Laser Photon. Rev. 12, 180032 (2018).
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Verre, R.

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

Wang, X.

J. Xiang, J. Li, Z. Zhou, S. Jiang, J. Chen, Q. Dai, S. Tie, S. Lan, and X. Wang, “Manipulating the orientations of the electric and magnetic dipoles induced in silicon nanoparticles for multicolor display,” Laser Photon. Rev. 12, 180032 (2018).
[Crossref]

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J.-M. Guay, A. Calà Lesina, G. Côté, M. Charron, D. Poitras, L. Ramunno, P. Berini, and A. Weck, “Laser-induced plasmonic colours on metals,” Nat. Commun. 8, 16095 (2017).
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C. Wyman, P.-P. Sloan, and P. Shirley, “Simple analytic approximations to the CIE XYZ color matching functions,” J. Comput. Gr. Techniques 2, 1–11 (2013).

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J. Xiang, J. Li, Z. Zhou, S. Jiang, J. Chen, Q. Dai, S. Tie, S. Lan, and X. Wang, “Manipulating the orientations of the electric and magnetic dipoles induced in silicon nanoparticles for multicolor display,” Laser Photon. Rev. 12, 180032 (2018).
[Crossref]

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X. Zhu, W. Yan, U. Levy, N. A. Mortensen, and A. Kristensen, “Resonant laser printing of structural colors on high-index dielectric metasurfaces,” Sci. Adv. 3, e1602487 (2017).
[Crossref] [PubMed]

Yang, J. K. W.

A. Kristensen, J. K. W. Yang, S. I. Bozhevolnyi, S. Link, P. Nordlander, N. J. Halas, and N. A. Mortensen, “Plasmonic colour generation,” Nat. Rev. Mater. 2, 16088 (2017).
[Crossref]

Yang, X.

Yu, Y. F.

A. E. Miroshnichenko, A. B. Evlyukhin, Y. F. Yu, R. M. Bakker, A. Chipouline, A. I. Kuznetsov, B. Luk’yanchuk, B. N. Chichkov, and Y. S. Kivshar, “Nonradiating anapole modes in dielectric nanoparticles,” Nat. Commun. 6, 8069 (2015).
[Crossref] [PubMed]

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R. Deshpande, V. A. Zenin, F. Ding, N. A. Mortensen, and S. I. Bozhevolnyi, “Direct characterization of near-field coupling in gap plasmon-based metasurfaces,” Nano Lett. 18, 6265–6270 (2018).
[Crossref] [PubMed]

Zhang, J.

A. I. Kuznetsov, A. E. Miroshnichenko, Y. H. Fu, J. Zhang, and B. Luk’yanchuk, “Magnetic light,” Sci. Rep. 2, 492 (2012).
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J. Xiang, J. Li, Z. Zhou, S. Jiang, J. Chen, Q. Dai, S. Tie, S. Lan, and X. Wang, “Manipulating the orientations of the electric and magnetic dipoles induced in silicon nanoparticles for multicolor display,” Laser Photon. Rev. 12, 180032 (2018).
[Crossref]

Zhu, X.

X. Zhu, W. Yan, U. Levy, N. A. Mortensen, and A. Kristensen, “Resonant laser printing of structural colors on high-index dielectric metasurfaces,” Sci. Adv. 3, e1602487 (2017).
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W.-N. Zou and Q.-S. Zheng, “Restricted access Maxwell's multipole representation of traceless symmetric tensors and its application to functions of high-order tensors𠇍, Proc. R. Soc. London, Ser. A 459, 527–538 (2003).
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Zywietz, U.

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).
[Crossref] [PubMed]

ACS Nano (2)

J. Proust, F. Bedu, B. Gallas, I. Ozerov, and N. Bonod, “All-dielectric colored metasurfaces with silicon Mie resonators,” ACS Nano 10, 7761–7768 (2016).
[Crossref] [PubMed]

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

Adv. Opt. Mater. (1)

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).
[Crossref]

J. Comput. Gr. Techniques (1)

C. Wyman, P.-P. Sloan, and P. Shirley, “Simple analytic approximations to the CIE XYZ color matching functions,” J. Comput. Gr. Techniques 2, 1–11 (2013).

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

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

Laser Photon. Rev. (1)

J. Xiang, J. Li, Z. Zhou, S. Jiang, J. Chen, Q. Dai, S. Tie, S. Lan, and X. Wang, “Manipulating the orientations of the electric and magnetic dipoles induced in silicon nanoparticles for multicolor display,” Laser Photon. Rev. 12, 180032 (2018).
[Crossref]

Nano Lett. (7)

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Figures (5)

Fig. 1
Fig. 1 Schematic side view of the Cartesian coordinate system and physical system with TIR conditions. We consider that matter above the substrate is air.
Fig. 2
Fig. 2 Spectra of the scattering cross sections into the semi-space above the glass substrate calculated for evanescent field scattering by the silicon nanodisk with diameters of 200 nm and height H. The evanescent fields are created due to the TIR configuration as shown in Fig. 1. Polarization of the incident waves and the nanodisk height are indicated in every panels. The separate (without interference) contributions of basic multipoles are also shown (TED corresponds to total electric dipole, MD - magnetic dipole, EQ - electric quadrupole, MQ - magnetic quadrupole).
Fig. 3
Fig. 3 The light color corresponding to the spectra presented in Fig. 2.
Fig. 4
Fig. 4 Spectra of the light scattering cross sections into the conical region with θ = 40 o (Fig. 1) above the glass substrate calculated for the silicon nanodisk with the diameter of 200 nm and height H = 50 nm and for different polarization angle ψ of the incident light waves.(From the right hand side) evolution of the scattered light color with changing polarization angle ψ of the incident waves.
Fig. 5
Fig. 5 Spectra of (a) TED and (b) MD contribution in the light scattering cross sections into the conical region with θ = 40 o (Fig. 1) above the glass substrate calculated for the silicon nanodisk with the diameter of 200 nm and height H = 50 nm and for the different polarization angle ψ.

Equations (20)

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E a ( r ) = ω 2 μ 0 V s { G ^ 0 F F ( r , r ) + G ^ R F F ( r , r ) } P ( r ) d r ,
P ( r ) p δ ( r ) 1 6   Q ^ δ ( r ) + i ω [ × m δ ( r ) ] + 1 6   O ^ ( δ ( r ) ) i 2 ω [ × M ^ δ ( r ) ] i ω   T Δ δ ( r ) q 6 δ ( r ) + ( δ ( r ) ) L ,
E a ( r ) = E d ( r ) + E r ( r ) ,
E d ( r ) k 0 2 e i k 2 ( r n r 0 ) 4 π ε 0 r ( [ n × [ D × n ] ] + 1 v 2 [ m × n ] + i k 2 6   [ n × [ n × Q ^ n ] ] + i k 2 2 v 2 [ n × ( M ^ n ) ] + k 2 2 6 [ n × [ n × O ^ ( n n ) ] ] )   ;
E r ( r ) k 0 2 e i k 2 ( r n ˜ r 0 ) ) 4 π ε 0 r R ^ ( r ) { D i k 2 6   Q ^ n ˜ 1 v 2 [ n ˜ × m ] k 2 2 6   O ^ ( n ˜ n ˜ ) + i k 2 2 v 2 [ n ˜ × M ^ n ˜ ] }   .
p = V s P ( r ) d r
Q ^ = 3 V s [ r P ( r ) + P ( r ) r 2 3 ( r P ( r ) ) U ^ ] d r ,
m = i ω 2 V [ r × P ( r ) ] d r ,
M ^ = ω 3 i V s { [ r × P ( r ) ] r + r [ r × P ( r ) ] } d r ,
T = i ω 10 V s { 2 r 2 P ( r ) ( r   P ( r ) ) r } d r
O β γ τ = O β γ τ ( δ β γ V τ + δ β τ V γ + δ γ τ V β )   ,
O ^ ' = V s { P ( r ) r r + r P ( r ) r + r r P ( r ) } d r   ,
V = 1 5 V s { 2 ( r P ( r ) ) r + ( r ) 2 P ( r ) ) } d r   .
L = 1 10 V s { 3 ( r   P ( r ) ) r r 2 P ( r ) } d r   ,
q = 2 V s ( r P ( r ) ) d r   .
σ d ( φ , θ ) = d P s c a d Ω = ε 2 | E a ( r ) | 2 | E 0 | 2 r 2   ,
E t ( r ) = E t exp ( i k t r )   ,
E t x = 2 w 1 0 w 1 0 + w 2 0 E i x 2 u 0 w 1 0 ( ε 2 ε 1 ) ( w 1 0 + w 2 0 ) ( ε 2 w 1 0 + ε 1 w 2 0 ) E i z E t y = 2 w 1 0 w 1 0 + w 2 0 E i y 2 v 0 w 1 0 ( ε 2 ε 1 ) ( w 1 0 + w 2 0 ) ( ε 2 w 1 0 + ε 1 w 2 0 ) E i z E t z = 2 ε 1 w 1 0 ε 2 w 1 0 + ε 1 w 2 0 E i z
E i x = E 0 sin ( ψ ) cos ( χ ) E i y = E 0 cos ( ψ ) E i z = E 0 sin ( ψ ) sin ( χ )   .
P ( r ) = j = 1 N p j δ ( r r j ) .

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