Abstract

We investigated theoretically and numerically the optical pulling and pushing forces acting on silicon (Si) nanospheres (NSs) with strong coherent interaction between electric and magnetic resonances. We examined the optical pulling and pushing forces exerted on Si NSs by two interfering waves and revealed the underlying physical mechanism from the viewpoint of electric- and magnetic-dipole manipulation. As compared with a polystyrene (PS) NS, it was found that the optical pulling force for a Si NS with the same size is enlarged by nearly two orders of magnitude. In addition to the optical pulling force appearing at the long-wavelength side of the magnetic dipole resonance, very large optical pushing force is observed at the magnetic quadrupole resonance. The correlation between the optical pulling/pushing force and the directional scattering characterized by the ratio of the forward to backward scattering was revealed. More interestingly, it was found that the high-order electric and magnetic resonances in large Si NSs play an important role in producing optical pulling force which can be generated by not only s-polarized wave but also p-polarized one. Our finding indicates that the strong coherent interaction between the electric and magnetic resonances existing in nanoparticles with large refractive indices can be exploited to manipulate the optical force acting on them and the correlation between the optical force and the directional scattering can be used as guidance. The engineering and manipulation of optical forces will find potential applications in the trapping, transport and sorting of nanoparticles.

© 2017 Optical Society of America

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References

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2016 (5)

I. Sinev, I. Iorsh, A. Bogdanov, D. Permyakov, F. Komissarenko, I. Mukhin, A. Samusev, V. Valuckas, A. I. Kuznetsov, B. S. Luk’yanchuk, A. E. Miroshnichenko, and Y. S. Kivshar, “Polarization control over electric and magnetic dipole resonances of dielectric nanoparticles on metallic films,” Laser Photon. Rev. 10(5), 799−806 (2016).

A. I. Kuznetsov, A. E. Miroshnichenko, M. L. Brongersma, Y. S. Kivshar, and B. Luk’yanchuk, “Optically resonant dielectric nanostructures,” Science 354(6314), 2472 (2016).
[Crossref] [PubMed]

A. Andres-Arroyo, B. Gupta, F. Wang, J. J. Gooding, and P. J. Reece, “Optical manipulation and spectroscopy of silicon nanoparticles exhibiting dielectric resonances,” Nano Lett. 16(3), 1903–1910 (2016).
[Crossref] [PubMed]

J. Chen, N. Wang, L. Cui, X. Li, Z. Lin, and J. Ng, “Optical twist induced by plasmonic resonance,” Sci. Rep. 6(1), 27927 (2016).
[Crossref] [PubMed]

Y. Tsuchimoto, T. A. Yano, T. Hayashi, and M. Hara, “Fano resonant all-dielectric core/shell nanoparticles with ultrahigh scattering directionality in the visible region,” Opt. Express 24(13), 14451–14462 (2016).
[Crossref] [PubMed]

2015 (5)

J. Chen, J. Ng, K. Ding, K. H. Fung, Z. Lin, and C. T. Chan, “Negative optical torque,” Sci. Rep. 4(1), 6386 (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]

O. Brzobohatý, M. Šiler, J. Trojek, L. Chvátal, V. Karásek, A. Paták, Z. Pokorná, F. Mika, and P. Zemánek, “Three-dimensional optical trapping of a plasmonic nanoparticle using low numerical aperture optical tweezers,” Sci. Rep. 5(1), 8106 (2015).
[Crossref] [PubMed]

H. Wang, P. Liu, Y. Ke, Y. Su, L. Zhang, N. Xu, S. Deng, and H. Chen, “Janus magneto-electric nanosphere dimers exhibiting unidirectional visible light scattering and strong electromagnetic field enhancement,” ACS Nano 9(1), 436–448 (2015).
[Crossref] [PubMed]

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]

2014 (6)

U. Zywietz, C. Reinhardt, A. B. Evlyukhin, T. Birr, and B. N. Chichkov, “Generation and patterning of Si nanoparticles by femtosecond laser pulses,” Appl. Phys., A Mater. Sci. Process. 114(1), 45–50 (2014).
[Crossref]

U. Zywietz, A. B. Evlyukhin, C. Reinhardt, and B. N. Chichkov, “Laser printing of silicon nanoparticles with resonant optical electric and magnetic responses,” Nat. Commun. 5, 3402 (2014).
[Crossref] [PubMed]

D. S. Filonov, A. P. Slobozhanyuk, A. E. Krasnok, P. A. Belov, E. A. Nenasheva, B. Hopkins, A. E. Miroshnichenko, and Y. S. Kivshar, “Near-field mapping of Fano resonances in all-dielectric oligomers,” Appl. Phys. Lett. 104(2), 021104 (2014).
[Crossref]

O. Brzobohatý, M. Šiler, L. Chvátal, V. Karásek, and P. Zemánek, “Optical trapping of non-spherical plasmonic nanoparticles,” Proc. SPIE 8999, 899909 (2014).
[Crossref]

P. P. Patra, R. Chikkaraddy, R. P. Tripathi, A. Dasgupta, and G. V. Kumar, “Plasmofluidic single-molecule surface-enhanced Raman scattering from dynamic assembly of plasmonic nanoparticles,” Nat. Commun. 5, 4357 (2014).
[Crossref] [PubMed]

P. Jákl, A. V. Arzola, M. Šiler, L. Chvátal, K. Volke-Sepúlveda, and P. Zemánek, “Optical sorting of nonspherical and living microobjects in moving interference structures,” Opt. Express 22(24), 29746–29760 (2014).
[Crossref] [PubMed]

2013 (7)

O. Brzobohatý, M. Šiler, J. Ježek, P. Jákl, and P. Zemánek, “Optical manipulation of aerosol droplets using a holographic dual and single beam trap,” Opt. Lett. 38(22), 4601–4604 (2013).
[Crossref] [PubMed]

C. Min, Z. Shen, J. Shen, Y. Zhang, H. Fang, G. Yuan, L. Du, S. Zhu, T. Lei, and X. Yuan, “Focused plasmonic trapping of metallic particles,” Nat. Commun. 4, 2891 (2013).
[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).
[Crossref] [PubMed]

O. Brzobohatý, V. Karásek, M. Šiler, L. Chvátal, T. Čižmár, and P. Zemánek, “Experimental demonstration of optical transport, sorting and self-arrangement using a ‘tractor beam’,” Nat. Photonics 7(2), 123–127 (2013).
[Crossref]

S. Person, M. Jain, Z. Lapin, J. J. Sáenz, G. Wicks, and L. Novotny, “Demonstration of zero optical backscattering from single nanoparticles,” Nano Lett. 13(4), 1806–1809 (2013).
[Crossref] [PubMed]

B. Hopkins, A. N. Poddubny, A. E. Miroshnichenko, and Y. S. Kivshar, “Revisiting the physics of Fano resonances for nanoparticle oligomers,” Phys. Rev. A 88(5), 053819 (2013).
[Crossref]

P. Albella, M. A. Poyli, M. K. Schmidt, S. A. Maier, F. Moreno, J. J. Sáenz, and J. Aizpurua, “Low-loss electric and magnetic field-enhanced spectroscopy with subwavelength silicon dimers,” J. Phys. Chem. C 117(26), 13573–13584 (2013).
[Crossref]

2012 (5)

A. E. Miroshnichenko and Y. S. Kivshar, “Fano resonances in all-dielectric oligomers,” Nano Lett. 12(12), 6459–6463 (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]

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(7), 3749–3755 (2012).
[Crossref] [PubMed]

L. Shi, T. U. Tuzer, R. Fenollosa, and F. Meseguer, “A new dielectric metamaterial building block with a strong magnetic response in the sub-1.5-micrometer region: silicon colloid nanocavities,” Adv. Mater. 24(44), 5934–5938 (2012).
[Crossref] [PubMed]

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

2011 (7)

S. Sukhov and A. Dogariu, “Negative nonconservative forces: optical “tractor beams” for arbitrary objects,” Phys. Rev. Lett. 107(20), 203602 (2011).
[Crossref] [PubMed]

A. Novitsky, C. W. Qiu, and H. Wang, “Single gradientless light beam drags particles as tractor beams,” Phys. Rev. Lett. 107(20), 203601 (2011).
[Crossref] [PubMed]

R. Gómez-Medina, B. García-Cámara, I. Suárez-Lacalle, F. González, F. Moreno, M. Nieto-Vesperinas, and J. J. Sáenz, “Electric and magnetic dipolar response of germanium nanospheres: interference effects, scattering anisotropy, and optical forces,” J. Nanophotonics 5(1), 053512 (2011).
[Crossref]

M. L. Juan, M. Righini, and R. Quidant, “Plasmon nano-optical tweezers,” Nat. Photonics 5(6), 349–356 (2011).
[Crossref]

J. Chen, J. Ng, Z. F. Lin, and C. T. Chan, “Optical pulling force,” Nat. Photonics 5(9), 531–534 (2011).
[Crossref]

M. Nieto-Vesperinas, R. Gomez-Medina, and J. J. Sáenz, “Angle-suppressed scattering and optical forces on submicrometer dielectric particles,” J. Opt. Soc. Am. A 28(1), 54–60 (2011).
[Crossref] [PubMed]

A. García-Etxarri, R. Gómez-Medina, L. S. Froufe-Pérez, C. López, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, and J. J. Sáenz, “Strong magnetic response of submicron silicon particles in the infrared,” Opt. Express 19(6), 4815–4826 (2011).
[Crossref] [PubMed]

2010 (3)

2009 (1)

2006 (1)

G. Volpe, R. Quidant, G. Badenes, and D. Petrov, “Surface plasmon radiation forces,” Phys. Rev. Lett. 96(23), 238101 (2006).
[Crossref] [PubMed]

2003 (1)

2000 (1)

1992 (1)

1986 (1)

1983 (1)

1970 (1)

A. Ashkin, “Acceleration and trapping of particles by radiation pressure,” Phys. Rev. Lett. 24(4), 156–159 (1970).
[Crossref]

Aizpurua, J.

P. Albella, M. A. Poyli, M. K. Schmidt, S. A. Maier, F. Moreno, J. J. Sáenz, and J. Aizpurua, “Low-loss electric and magnetic field-enhanced spectroscopy with subwavelength silicon dimers,” J. Phys. Chem. C 117(26), 13573–13584 (2013).
[Crossref]

A. García-Etxarri, R. Gómez-Medina, L. S. Froufe-Pérez, C. López, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, and J. J. Sáenz, “Strong magnetic response of submicron silicon particles in the infrared,” Opt. Express 19(6), 4815–4826 (2011).
[Crossref] [PubMed]

Albella, P.

P. Albella, M. A. Poyli, M. K. Schmidt, S. A. Maier, F. Moreno, J. J. Sáenz, and J. Aizpurua, “Low-loss electric and magnetic field-enhanced spectroscopy with subwavelength silicon dimers,” J. Phys. Chem. C 117(26), 13573–13584 (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, M. Nieto-Vesperinas, J. J. Sáenz, and F. Moreno, “Magnetic and electric coherence in forward- and back-scattered electromagnetic waves by a single dielectric subwavelength sphere,” Nat. Commun. 3, 1171 (2012).
[Crossref] [PubMed]

Andres-Arroyo, A.

A. Andres-Arroyo, B. Gupta, F. Wang, J. J. Gooding, and P. J. Reece, “Optical manipulation and spectroscopy of silicon nanoparticles exhibiting dielectric resonances,” Nano Lett. 16(3), 1903–1910 (2016).
[Crossref] [PubMed]

Arias-González, J. R.

Arzola, A. V.

Ashkin, A.

Badenes, G.

G. Volpe, R. Quidant, G. Badenes, and D. Petrov, “Surface plasmon radiation forces,” Phys. Rev. Lett. 96(23), 238101 (2006).
[Crossref] [PubMed]

Bakker, R. M.

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D. S. Filonov, A. P. Slobozhanyuk, A. E. Krasnok, P. A. Belov, E. A. Nenasheva, B. Hopkins, A. E. Miroshnichenko, and Y. S. Kivshar, “Near-field mapping of Fano resonances in all-dielectric oligomers,” Appl. Phys. Lett. 104(2), 021104 (2014).
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U. Zywietz, C. Reinhardt, A. B. Evlyukhin, T. Birr, and B. N. Chichkov, “Generation and patterning of Si nanoparticles by femtosecond laser pulses,” Appl. Phys., A Mater. Sci. Process. 114(1), 45–50 (2014).
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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(7), 3749–3755 (2012).
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A. I. Kuznetsov, A. E. Miroshnichenko, M. L. Brongersma, Y. S. Kivshar, and B. Luk’yanchuk, “Optically resonant dielectric nanostructures,” Science 354(6314), 2472 (2016).
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O. Brzobohatý, M. Šiler, J. Trojek, L. Chvátal, V. Karásek, A. Paták, Z. Pokorná, F. Mika, and P. Zemánek, “Three-dimensional optical trapping of a plasmonic nanoparticle using low numerical aperture optical tweezers,” Sci. Rep. 5(1), 8106 (2015).
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O. Brzobohatý, M. Šiler, L. Chvátal, V. Karásek, and P. Zemánek, “Optical trapping of non-spherical plasmonic nanoparticles,” Proc. SPIE 8999, 899909 (2014).
[Crossref]

O. Brzobohatý, V. Karásek, M. Šiler, L. Chvátal, T. Čižmár, and P. Zemánek, “Experimental demonstration of optical transport, sorting and self-arrangement using a ‘tractor beam’,” Nat. Photonics 7(2), 123–127 (2013).
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O. Brzobohatý, M. Šiler, J. Ježek, P. Jákl, and P. Zemánek, “Optical manipulation of aerosol droplets using a holographic dual and single beam trap,” Opt. Lett. 38(22), 4601–4604 (2013).
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J. Chen, J. Ng, K. Ding, K. H. Fung, Z. Lin, and C. T. Chan, “Negative optical torque,” Sci. Rep. 4(1), 6386 (2015).
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J. Chen, J. Ng, Z. F. Lin, and C. T. Chan, “Optical pulling force,” Nat. Photonics 5(9), 531–534 (2011).
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H. Wang, P. Liu, Y. Ke, Y. Su, L. Zhang, N. Xu, S. Deng, and H. Chen, “Janus magneto-electric nanosphere dimers exhibiting unidirectional visible light scattering and strong electromagnetic field enhancement,” ACS Nano 9(1), 436–448 (2015).
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J. Chen, N. Wang, L. Cui, X. Li, Z. Lin, and J. Ng, “Optical twist induced by plasmonic resonance,” Sci. Rep. 6(1), 27927 (2016).
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J. Chen, J. Ng, K. Ding, K. H. Fung, Z. Lin, and C. T. Chan, “Negative optical torque,” Sci. Rep. 4(1), 6386 (2015).
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J. Chen, J. Ng, Z. F. Lin, and C. T. Chan, “Optical pulling force,” Nat. Photonics 5(9), 531–534 (2011).
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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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U. Zywietz, A. B. Evlyukhin, C. Reinhardt, and B. N. Chichkov, “Laser printing of silicon nanoparticles with resonant optical electric and magnetic responses,” Nat. Commun. 5, 3402 (2014).
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U. Zywietz, C. Reinhardt, A. B. Evlyukhin, T. Birr, and B. N. Chichkov, “Generation and patterning of Si nanoparticles by femtosecond laser pulses,” Appl. Phys., A Mater. Sci. Process. 114(1), 45–50 (2014).
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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(7), 3749–3755 (2012).
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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(4), 045404 (2010).
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P. P. Patra, R. Chikkaraddy, R. P. Tripathi, A. Dasgupta, and G. V. Kumar, “Plasmofluidic single-molecule surface-enhanced Raman scattering from dynamic assembly of plasmonic nanoparticles,” Nat. Commun. 5, 4357 (2014).
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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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Chvátal, L.

O. Brzobohatý, M. Šiler, J. Trojek, L. Chvátal, V. Karásek, A. Paták, Z. Pokorná, F. Mika, and P. Zemánek, “Three-dimensional optical trapping of a plasmonic nanoparticle using low numerical aperture optical tweezers,” Sci. Rep. 5(1), 8106 (2015).
[Crossref] [PubMed]

O. Brzobohatý, M. Šiler, L. Chvátal, V. Karásek, and P. Zemánek, “Optical trapping of non-spherical plasmonic nanoparticles,” Proc. SPIE 8999, 899909 (2014).
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P. Jákl, A. V. Arzola, M. Šiler, L. Chvátal, K. Volke-Sepúlveda, and P. Zemánek, “Optical sorting of nonspherical and living microobjects in moving interference structures,” Opt. Express 22(24), 29746–29760 (2014).
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O. Brzobohatý, V. Karásek, M. Šiler, L. Chvátal, T. Čižmár, and P. Zemánek, “Experimental demonstration of optical transport, sorting and self-arrangement using a ‘tractor beam’,” Nat. Photonics 7(2), 123–127 (2013).
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J. Chen, N. Wang, L. Cui, X. Li, Z. Lin, and J. Ng, “Optical twist induced by plasmonic resonance,” Sci. Rep. 6(1), 27927 (2016).
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P. P. Patra, R. Chikkaraddy, R. P. Tripathi, A. Dasgupta, and G. V. Kumar, “Plasmofluidic single-molecule surface-enhanced Raman scattering from dynamic assembly of plasmonic nanoparticles,” Nat. Commun. 5, 4357 (2014).
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H. Wang, P. Liu, Y. Ke, Y. Su, L. Zhang, N. Xu, S. Deng, and H. Chen, “Janus magneto-electric nanosphere dimers exhibiting unidirectional visible light scattering and strong electromagnetic field enhancement,” ACS Nano 9(1), 436–448 (2015).
[Crossref] [PubMed]

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J. Chen, J. Ng, K. Ding, K. H. Fung, Z. Lin, and C. T. Chan, “Negative optical torque,” Sci. Rep. 4(1), 6386 (2015).
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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(7), 3749–3755 (2012).
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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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U. Zywietz, A. B. Evlyukhin, C. Reinhardt, and B. N. Chichkov, “Laser printing of silicon nanoparticles with resonant optical electric and magnetic responses,” Nat. Commun. 5, 3402 (2014).
[Crossref] [PubMed]

U. Zywietz, C. Reinhardt, A. B. Evlyukhin, T. Birr, and B. N. Chichkov, “Generation and patterning of Si nanoparticles by femtosecond laser pulses,” Appl. Phys., A Mater. Sci. Process. 114(1), 45–50 (2014).
[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(7), 3749–3755 (2012).
[Crossref] [PubMed]

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(4), 045404 (2010).
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J. M. Geffrin, B. García-Cámara, R. Gómez-Medina, P. Albella, L. S. Froufe-Pérez, C. Eyraud, A. Litman, R. Vaillon, F. González, M. Nieto-Vesperinas, J. J. Sáenz, and F. Moreno, “Magnetic and electric coherence in forward- and back-scattered electromagnetic waves by a single dielectric subwavelength sphere,” Nat. Commun. 3, 1171 (2012).
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C. Min, Z. Shen, J. Shen, Y. Zhang, H. Fang, G. Yuan, L. Du, S. Zhu, T. Lei, and X. Yuan, “Focused plasmonic trapping of metallic particles,” Nat. Commun. 4, 2891 (2013).
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L. Shi, T. U. Tuzer, R. Fenollosa, and F. Meseguer, “A new dielectric metamaterial building block with a strong magnetic response in the sub-1.5-micrometer region: silicon colloid nanocavities,” Adv. Mater. 24(44), 5934–5938 (2012).
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D. S. Filonov, A. P. Slobozhanyuk, A. E. Krasnok, P. A. Belov, E. A. Nenasheva, B. Hopkins, A. E. Miroshnichenko, and Y. S. Kivshar, “Near-field mapping of Fano resonances in all-dielectric oligomers,” Appl. Phys. Lett. 104(2), 021104 (2014).
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A. García-Etxarri, R. Gómez-Medina, L. S. Froufe-Pérez, C. López, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, and J. J. Sáenz, “Strong magnetic response of submicron silicon particles in the infrared,” Opt. Express 19(6), 4815–4826 (2011).
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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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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. Chen, J. Ng, K. Ding, K. H. Fung, Z. Lin, and C. T. Chan, “Negative optical torque,” Sci. Rep. 4(1), 6386 (2015).
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J. M. Geffrin, B. García-Cámara, R. Gómez-Medina, P. Albella, L. S. Froufe-Pérez, C. Eyraud, A. Litman, R. Vaillon, F. González, M. Nieto-Vesperinas, J. J. Sáenz, and F. Moreno, “Magnetic and electric coherence in forward- and back-scattered electromagnetic waves by a single dielectric subwavelength sphere,” Nat. Commun. 3, 1171 (2012).
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R. Gómez-Medina, B. García-Cámara, I. Suárez-Lacalle, F. González, F. Moreno, M. Nieto-Vesperinas, and J. J. Sáenz, “Electric and magnetic dipolar response of germanium nanospheres: interference effects, scattering anisotropy, and optical forces,” J. Nanophotonics 5(1), 053512 (2011).
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García-Etxarri, A.

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

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J. M. Geffrin, B. García-Cámara, R. Gómez-Medina, P. Albella, L. S. Froufe-Pérez, C. Eyraud, A. Litman, R. Vaillon, F. González, M. Nieto-Vesperinas, J. J. Sáenz, and F. Moreno, “Magnetic and electric coherence in forward- and back-scattered electromagnetic waves by a single dielectric subwavelength sphere,” Nat. Commun. 3, 1171 (2012).
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A. García-Etxarri, R. Gómez-Medina, L. S. Froufe-Pérez, C. López, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, and J. J. Sáenz, “Strong magnetic response of submicron silicon particles in the infrared,” Opt. Express 19(6), 4815–4826 (2011).
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R. Gómez-Medina, B. García-Cámara, I. Suárez-Lacalle, F. González, F. Moreno, M. Nieto-Vesperinas, and J. J. Sáenz, “Electric and magnetic dipolar response of germanium nanospheres: interference effects, scattering anisotropy, and optical forces,” J. Nanophotonics 5(1), 053512 (2011).
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M. Nieto-Vesperinas, J. J. Sáenz, R. Gómez-Medina, and L. Chantada, “Optical forces on small magnetodielectric particles,” Opt. Express 18(11), 11428–11443 (2010).
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J. M. Geffrin, B. García-Cámara, R. Gómez-Medina, P. Albella, L. S. Froufe-Pérez, C. Eyraud, A. Litman, R. Vaillon, F. González, M. Nieto-Vesperinas, J. J. Sáenz, and F. Moreno, “Magnetic and electric coherence in forward- and back-scattered electromagnetic waves by a single dielectric subwavelength sphere,” Nat. Commun. 3, 1171 (2012).
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R. Gómez-Medina, B. García-Cámara, I. Suárez-Lacalle, F. González, F. Moreno, M. Nieto-Vesperinas, and J. J. Sáenz, “Electric and magnetic dipolar response of germanium nanospheres: interference effects, scattering anisotropy, and optical forces,” J. Nanophotonics 5(1), 053512 (2011).
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Hayashi, T.

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D. S. Filonov, A. P. Slobozhanyuk, A. E. Krasnok, P. A. Belov, E. A. Nenasheva, B. Hopkins, A. E. Miroshnichenko, and Y. S. Kivshar, “Near-field mapping of Fano resonances in all-dielectric oligomers,” Appl. Phys. Lett. 104(2), 021104 (2014).
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B. Hopkins, A. N. Poddubny, A. E. Miroshnichenko, and Y. S. Kivshar, “Revisiting the physics of Fano resonances for nanoparticle oligomers,” Phys. Rev. A 88(5), 053819 (2013).
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I. Sinev, I. Iorsh, A. Bogdanov, D. Permyakov, F. Komissarenko, I. Mukhin, A. Samusev, V. Valuckas, A. I. Kuznetsov, B. S. Luk’yanchuk, A. E. Miroshnichenko, and Y. S. Kivshar, “Polarization control over electric and magnetic dipole resonances of dielectric nanoparticles on metallic films,” Laser Photon. Rev. 10(5), 799−806 (2016).

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O. Brzobohatý, M. Šiler, J. Trojek, L. Chvátal, V. Karásek, A. Paták, Z. Pokorná, F. Mika, and P. Zemánek, “Three-dimensional optical trapping of a plasmonic nanoparticle using low numerical aperture optical tweezers,” Sci. Rep. 5(1), 8106 (2015).
[Crossref] [PubMed]

O. Brzobohatý, M. Šiler, L. Chvátal, V. Karásek, and P. Zemánek, “Optical trapping of non-spherical plasmonic nanoparticles,” Proc. SPIE 8999, 899909 (2014).
[Crossref]

O. Brzobohatý, V. Karásek, M. Šiler, L. Chvátal, T. Čižmár, and P. Zemánek, “Experimental demonstration of optical transport, sorting and self-arrangement using a ‘tractor beam’,” Nat. Photonics 7(2), 123–127 (2013).
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Ke, Y.

H. Wang, P. Liu, Y. Ke, Y. Su, L. Zhang, N. Xu, S. Deng, and H. Chen, “Janus magneto-electric nanosphere dimers exhibiting unidirectional visible light scattering and strong electromagnetic field enhancement,” ACS Nano 9(1), 436–448 (2015).
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Kivshar, Y. S.

A. I. Kuznetsov, A. E. Miroshnichenko, M. L. Brongersma, Y. S. Kivshar, and B. Luk’yanchuk, “Optically resonant dielectric nanostructures,” Science 354(6314), 2472 (2016).
[Crossref] [PubMed]

I. Sinev, I. Iorsh, A. Bogdanov, D. Permyakov, F. Komissarenko, I. Mukhin, A. Samusev, V. Valuckas, A. I. Kuznetsov, B. S. Luk’yanchuk, A. E. Miroshnichenko, and Y. S. Kivshar, “Polarization control over electric and magnetic dipole resonances of dielectric nanoparticles on metallic films,” Laser Photon. Rev. 10(5), 799−806 (2016).

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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B. Hopkins, A. N. Poddubny, A. E. Miroshnichenko, and Y. S. Kivshar, “Revisiting the physics of Fano resonances for nanoparticle oligomers,” Phys. Rev. A 88(5), 053819 (2013).
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D. S. Filonov, A. P. Slobozhanyuk, A. E. Krasnok, P. A. Belov, E. A. Nenasheva, B. Hopkins, A. E. Miroshnichenko, and Y. S. Kivshar, “Near-field mapping of Fano resonances in all-dielectric oligomers,” Appl. Phys. Lett. 104(2), 021104 (2014).
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A. I. Kuznetsov, A. E. Miroshnichenko, M. L. Brongersma, Y. S. Kivshar, and B. Luk’yanchuk, “Optically resonant dielectric nanostructures,” Science 354(6314), 2472 (2016).
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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]

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]

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

Lapin, Z.

S. Person, M. Jain, Z. Lapin, J. J. Sáenz, G. Wicks, and L. Novotny, “Demonstration of zero optical backscattering from single nanoparticles,” Nano Lett. 13(4), 1806–1809 (2013).
[Crossref] [PubMed]

Lee, S. H.

Lei, T.

C. Min, Z. Shen, J. Shen, Y. Zhang, H. Fang, G. Yuan, L. Du, S. Zhu, T. Lei, and X. Yuan, “Focused plasmonic trapping of metallic particles,” Nat. Commun. 4, 2891 (2013).
[Crossref] [PubMed]

Li, X.

J. Chen, N. Wang, L. Cui, X. Li, Z. Lin, and J. Ng, “Optical twist induced by plasmonic resonance,” Sci. Rep. 6(1), 27927 (2016).
[Crossref] [PubMed]

Lin, Z.

J. Chen, N. Wang, L. Cui, X. Li, Z. Lin, and J. Ng, “Optical twist induced by plasmonic resonance,” Sci. Rep. 6(1), 27927 (2016).
[Crossref] [PubMed]

J. Chen, J. Ng, K. Ding, K. H. Fung, Z. Lin, and C. T. Chan, “Negative optical torque,” Sci. Rep. 4(1), 6386 (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]

Lin, Z. F.

J. Chen, J. Ng, Z. F. Lin, and C. T. Chan, “Optical pulling force,” Nat. Photonics 5(9), 531–534 (2011).
[Crossref]

Litman, A.

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

Liu, P.

H. Wang, P. Liu, Y. Ke, Y. Su, L. Zhang, N. Xu, S. Deng, and H. Chen, “Janus magneto-electric nanosphere dimers exhibiting unidirectional visible light scattering and strong electromagnetic field enhancement,” ACS Nano 9(1), 436–448 (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]

López, C.

Luk’yanchuk, B.

A. I. Kuznetsov, A. E. Miroshnichenko, M. L. Brongersma, Y. S. Kivshar, and B. Luk’yanchuk, “Optically resonant dielectric nanostructures,” Science 354(6314), 2472 (2016).
[Crossref] [PubMed]

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]

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]

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

Luk’yanchuk, B. S.

I. Sinev, I. Iorsh, A. Bogdanov, D. Permyakov, F. Komissarenko, I. Mukhin, A. Samusev, V. Valuckas, A. I. Kuznetsov, B. S. Luk’yanchuk, A. E. Miroshnichenko, and Y. S. Kivshar, “Polarization control over electric and magnetic dipole resonances of dielectric nanoparticles on metallic films,” Laser Photon. Rev. 10(5), 799−806 (2016).

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(4), 045404 (2010).
[Crossref]

Maier, S. A.

P. Albella, M. A. Poyli, M. K. Schmidt, S. A. Maier, F. Moreno, J. J. Sáenz, and J. Aizpurua, “Low-loss electric and magnetic field-enhanced spectroscopy with subwavelength silicon dimers,” J. Phys. Chem. C 117(26), 13573–13584 (2013).
[Crossref]

Meseguer, F.

L. Shi, T. U. Tuzer, R. Fenollosa, and F. Meseguer, “A new dielectric metamaterial building block with a strong magnetic response in the sub-1.5-micrometer region: silicon colloid nanocavities,” Adv. Mater. 24(44), 5934–5938 (2012).
[Crossref] [PubMed]

Mika, F.

O. Brzobohatý, M. Šiler, J. Trojek, L. Chvátal, V. Karásek, A. Paták, Z. Pokorná, F. Mika, and P. Zemánek, “Three-dimensional optical trapping of a plasmonic nanoparticle using low numerical aperture optical tweezers,” Sci. Rep. 5(1), 8106 (2015).
[Crossref] [PubMed]

Min, C.

C. Min, Z. Shen, J. Shen, Y. Zhang, H. Fang, G. Yuan, L. Du, S. Zhu, T. Lei, and X. Yuan, “Focused plasmonic trapping of metallic particles,” Nat. Commun. 4, 2891 (2013).
[Crossref] [PubMed]

Miroshnichenko, A. E.

A. I. Kuznetsov, A. E. Miroshnichenko, M. L. Brongersma, Y. S. Kivshar, and B. Luk’yanchuk, “Optically resonant dielectric nanostructures,” Science 354(6314), 2472 (2016).
[Crossref] [PubMed]

I. Sinev, I. Iorsh, A. Bogdanov, D. Permyakov, F. Komissarenko, I. Mukhin, A. Samusev, V. Valuckas, A. I. Kuznetsov, B. S. Luk’yanchuk, A. E. Miroshnichenko, and Y. S. Kivshar, “Polarization control over electric and magnetic dipole resonances of dielectric nanoparticles on metallic films,” Laser Photon. Rev. 10(5), 799−806 (2016).

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]

D. S. Filonov, A. P. Slobozhanyuk, A. E. Krasnok, P. A. Belov, E. A. Nenasheva, B. Hopkins, A. E. Miroshnichenko, and Y. S. Kivshar, “Near-field mapping of Fano resonances in all-dielectric oligomers,” Appl. Phys. Lett. 104(2), 021104 (2014).
[Crossref]

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

B. Hopkins, A. N. Poddubny, A. E. Miroshnichenko, and Y. S. Kivshar, “Revisiting the physics of Fano resonances for nanoparticle oligomers,” Phys. Rev. A 88(5), 053819 (2013).
[Crossref]

A. E. Miroshnichenko and Y. S. Kivshar, “Fano resonances in all-dielectric oligomers,” Nano Lett. 12(12), 6459–6463 (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]

Moreno, F.

P. Albella, M. A. Poyli, M. K. Schmidt, S. A. Maier, F. Moreno, J. J. Sáenz, and J. Aizpurua, “Low-loss electric and magnetic field-enhanced spectroscopy with subwavelength silicon dimers,” J. Phys. Chem. C 117(26), 13573–13584 (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, M. Nieto-Vesperinas, J. J. Sáenz, and F. Moreno, “Magnetic and electric coherence in forward- and back-scattered electromagnetic waves by a single dielectric subwavelength sphere,” Nat. Commun. 3, 1171 (2012).
[Crossref] [PubMed]

R. Gómez-Medina, B. García-Cámara, I. Suárez-Lacalle, F. González, F. Moreno, M. Nieto-Vesperinas, and J. J. Sáenz, “Electric and magnetic dipolar response of germanium nanospheres: interference effects, scattering anisotropy, and optical forces,” J. Nanophotonics 5(1), 053512 (2011).
[Crossref]

Mukhin, I.

I. Sinev, I. Iorsh, A. Bogdanov, D. Permyakov, F. Komissarenko, I. Mukhin, A. Samusev, V. Valuckas, A. I. Kuznetsov, B. S. Luk’yanchuk, A. E. Miroshnichenko, and Y. S. Kivshar, “Polarization control over electric and magnetic dipole resonances of dielectric nanoparticles on metallic films,” Laser Photon. Rev. 10(5), 799−806 (2016).

Nenasheva, E. A.

D. S. Filonov, A. P. Slobozhanyuk, A. E. Krasnok, P. A. Belov, E. A. Nenasheva, B. Hopkins, A. E. Miroshnichenko, and Y. S. Kivshar, “Near-field mapping of Fano resonances in all-dielectric oligomers,” Appl. Phys. Lett. 104(2), 021104 (2014).
[Crossref]

Ng, J.

J. Chen, N. Wang, L. Cui, X. Li, Z. Lin, and J. Ng, “Optical twist induced by plasmonic resonance,” Sci. Rep. 6(1), 27927 (2016).
[Crossref] [PubMed]

J. Chen, J. Ng, K. Ding, K. H. Fung, Z. Lin, and C. T. Chan, “Negative optical torque,” Sci. Rep. 4(1), 6386 (2015).
[Crossref] [PubMed]

J. Chen, J. Ng, Z. F. Lin, and C. T. Chan, “Optical pulling force,” Nat. Photonics 5(9), 531–534 (2011).
[Crossref]

Nieto-Vesperinas, M.

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

R. Gómez-Medina, B. García-Cámara, I. Suárez-Lacalle, F. González, F. Moreno, M. Nieto-Vesperinas, and J. J. Sáenz, “Electric and magnetic dipolar response of germanium nanospheres: interference effects, scattering anisotropy, and optical forces,” J. Nanophotonics 5(1), 053512 (2011).
[Crossref]

M. Nieto-Vesperinas, R. Gomez-Medina, and J. J. Sáenz, “Angle-suppressed scattering and optical forces on submicrometer dielectric particles,” J. Opt. Soc. Am. A 28(1), 54–60 (2011).
[Crossref] [PubMed]

A. García-Etxarri, R. Gómez-Medina, L. S. Froufe-Pérez, C. López, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, and J. J. Sáenz, “Strong magnetic response of submicron silicon particles in the infrared,” Opt. Express 19(6), 4815–4826 (2011).
[Crossref] [PubMed]

M. Nieto-Vesperinas, J. J. Sáenz, R. Gómez-Medina, and L. Chantada, “Optical forces on small magnetodielectric particles,” Opt. Express 18(11), 11428–11443 (2010).
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J. R. Arias-González and M. Nieto-Vesperinas, “Optical forces on small particles: attractive and repulsive nature and plasmon-resonance conditions,” J. Opt. Soc. Am. A 20(7), 1201–1209 (2003).
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P. C. Chaumet and M. Nieto-Vesperinas, “Time-averaged total force on a dipolar sphere in an electromagnetic field,” Opt. Lett. 25(15), 1065–1067 (2000).
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Novikov, S. M.

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(7), 3749–3755 (2012).
[Crossref] [PubMed]

Novitsky, A.

A. Novitsky, C. W. Qiu, and H. Wang, “Single gradientless light beam drags particles as tractor beams,” Phys. Rev. Lett. 107(20), 203601 (2011).
[Crossref] [PubMed]

Novotny, L.

S. Person, M. Jain, Z. Lapin, J. J. Sáenz, G. Wicks, and L. Novotny, “Demonstration of zero optical backscattering from single nanoparticles,” Nano Lett. 13(4), 1806–1809 (2013).
[Crossref] [PubMed]

Paták, A.

O. Brzobohatý, M. Šiler, J. Trojek, L. Chvátal, V. Karásek, A. Paták, Z. Pokorná, F. Mika, and P. Zemánek, “Three-dimensional optical trapping of a plasmonic nanoparticle using low numerical aperture optical tweezers,” Sci. Rep. 5(1), 8106 (2015).
[Crossref] [PubMed]

Patra, P. P.

P. P. Patra, R. Chikkaraddy, R. P. Tripathi, A. Dasgupta, and G. V. Kumar, “Plasmofluidic single-molecule surface-enhanced Raman scattering from dynamic assembly of plasmonic nanoparticles,” Nat. Commun. 5, 4357 (2014).
[Crossref] [PubMed]

Permyakov, D.

I. Sinev, I. Iorsh, A. Bogdanov, D. Permyakov, F. Komissarenko, I. Mukhin, A. Samusev, V. Valuckas, A. I. Kuznetsov, B. S. Luk’yanchuk, A. E. Miroshnichenko, and Y. S. Kivshar, “Polarization control over electric and magnetic dipole resonances of dielectric nanoparticles on metallic films,” Laser Photon. Rev. 10(5), 799−806 (2016).

Person, S.

S. Person, M. Jain, Z. Lapin, J. J. Sáenz, G. Wicks, and L. Novotny, “Demonstration of zero optical backscattering from single nanoparticles,” Nano Lett. 13(4), 1806–1809 (2013).
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Petrov, D.

G. Volpe, R. Quidant, G. Badenes, and D. Petrov, “Surface plasmon radiation forces,” Phys. Rev. Lett. 96(23), 238101 (2006).
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Poddubny, A. N.

B. Hopkins, A. N. Poddubny, A. E. Miroshnichenko, and Y. S. Kivshar, “Revisiting the physics of Fano resonances for nanoparticle oligomers,” Phys. Rev. A 88(5), 053819 (2013).
[Crossref]

Pokorná, Z.

O. Brzobohatý, M. Šiler, J. Trojek, L. Chvátal, V. Karásek, A. Paták, Z. Pokorná, F. Mika, and P. Zemánek, “Three-dimensional optical trapping of a plasmonic nanoparticle using low numerical aperture optical tweezers,” Sci. Rep. 5(1), 8106 (2015).
[Crossref] [PubMed]

Poyli, M. A.

P. Albella, M. A. Poyli, M. K. Schmidt, S. A. Maier, F. Moreno, J. J. Sáenz, and J. Aizpurua, “Low-loss electric and magnetic field-enhanced spectroscopy with subwavelength silicon dimers,” J. Phys. Chem. C 117(26), 13573–13584 (2013).
[Crossref]

Qiu, C. W.

A. Novitsky, C. W. Qiu, and H. Wang, “Single gradientless light beam drags particles as tractor beams,” Phys. Rev. Lett. 107(20), 203601 (2011).
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Quidant, R.

M. L. Juan, M. Righini, and R. Quidant, “Plasmon nano-optical tweezers,” Nat. Photonics 5(6), 349–356 (2011).
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G. Volpe, R. Quidant, G. Badenes, and D. Petrov, “Surface plasmon radiation forces,” Phys. Rev. Lett. 96(23), 238101 (2006).
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Rahmani, A.

Reece, P. J.

A. Andres-Arroyo, B. Gupta, F. Wang, J. J. Gooding, and P. J. Reece, “Optical manipulation and spectroscopy of silicon nanoparticles exhibiting dielectric resonances,” Nano Lett. 16(3), 1903–1910 (2016).
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U. Zywietz, C. Reinhardt, A. B. Evlyukhin, T. Birr, and B. N. Chichkov, “Generation and patterning of Si nanoparticles by femtosecond laser pulses,” Appl. Phys., A Mater. Sci. Process. 114(1), 45–50 (2014).
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U. Zywietz, A. B. Evlyukhin, C. Reinhardt, and B. N. Chichkov, “Laser printing of silicon nanoparticles with resonant optical electric and magnetic responses,” Nat. Commun. 5, 3402 (2014).
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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(7), 3749–3755 (2012).
[Crossref] [PubMed]

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(4), 045404 (2010).
[Crossref]

Righini, M.

M. L. Juan, M. Righini, and R. Quidant, “Plasmon nano-optical tweezers,” Nat. Photonics 5(6), 349–356 (2011).
[Crossref]

Roichman, Y.

Sáenz, J. J.

S. Person, M. Jain, Z. Lapin, J. J. Sáenz, G. Wicks, and L. Novotny, “Demonstration of zero optical backscattering from single nanoparticles,” Nano Lett. 13(4), 1806–1809 (2013).
[Crossref] [PubMed]

P. Albella, M. A. Poyli, M. K. Schmidt, S. A. Maier, F. Moreno, J. J. Sáenz, and J. Aizpurua, “Low-loss electric and magnetic field-enhanced spectroscopy with subwavelength silicon dimers,” J. Phys. Chem. C 117(26), 13573–13584 (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, M. Nieto-Vesperinas, J. J. Sáenz, and F. Moreno, “Magnetic and electric coherence in forward- and back-scattered electromagnetic waves by a single dielectric subwavelength sphere,” Nat. Commun. 3, 1171 (2012).
[Crossref] [PubMed]

R. Gómez-Medina, B. García-Cámara, I. Suárez-Lacalle, F. González, F. Moreno, M. Nieto-Vesperinas, and J. J. Sáenz, “Electric and magnetic dipolar response of germanium nanospheres: interference effects, scattering anisotropy, and optical forces,” J. Nanophotonics 5(1), 053512 (2011).
[Crossref]

A. García-Etxarri, R. Gómez-Medina, L. S. Froufe-Pérez, C. López, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, and J. J. Sáenz, “Strong magnetic response of submicron silicon particles in the infrared,” Opt. Express 19(6), 4815–4826 (2011).
[Crossref] [PubMed]

M. Nieto-Vesperinas, R. Gomez-Medina, and J. J. Sáenz, “Angle-suppressed scattering and optical forces on submicrometer dielectric particles,” J. Opt. Soc. Am. A 28(1), 54–60 (2011).
[Crossref] [PubMed]

M. Nieto-Vesperinas, J. J. Sáenz, R. Gómez-Medina, and L. Chantada, “Optical forces on small magnetodielectric particles,” Opt. Express 18(11), 11428–11443 (2010).
[Crossref] [PubMed]

Samusev, A.

I. Sinev, I. Iorsh, A. Bogdanov, D. Permyakov, F. Komissarenko, I. Mukhin, A. Samusev, V. Valuckas, A. I. Kuznetsov, B. S. Luk’yanchuk, A. E. Miroshnichenko, and Y. S. Kivshar, “Polarization control over electric and magnetic dipole resonances of dielectric nanoparticles on metallic films,” Laser Photon. Rev. 10(5), 799−806 (2016).

Scheffold, F.

Schmidt, M. K.

P. Albella, M. A. Poyli, M. K. Schmidt, S. A. Maier, F. Moreno, J. J. Sáenz, and J. Aizpurua, “Low-loss electric and magnetic field-enhanced spectroscopy with subwavelength silicon dimers,” J. Phys. Chem. C 117(26), 13573–13584 (2013).
[Crossref]

Seidel, A.

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(4), 045404 (2010).
[Crossref]

Shen, J.

C. Min, Z. Shen, J. Shen, Y. Zhang, H. Fang, G. Yuan, L. Du, S. Zhu, T. Lei, and X. Yuan, “Focused plasmonic trapping of metallic particles,” Nat. Commun. 4, 2891 (2013).
[Crossref] [PubMed]

Shen, Z.

C. Min, Z. Shen, J. Shen, Y. Zhang, H. Fang, G. Yuan, L. Du, S. Zhu, T. Lei, and X. Yuan, “Focused plasmonic trapping of metallic particles,” Nat. Commun. 4, 2891 (2013).
[Crossref] [PubMed]

Shi, L.

L. Shi, T. U. Tuzer, R. Fenollosa, and F. Meseguer, “A new dielectric metamaterial building block with a strong magnetic response in the sub-1.5-micrometer region: silicon colloid nanocavities,” Adv. Mater. 24(44), 5934–5938 (2012).
[Crossref] [PubMed]

Šiler, M.

O. Brzobohatý, M. Šiler, J. Trojek, L. Chvátal, V. Karásek, A. Paták, Z. Pokorná, F. Mika, and P. Zemánek, “Three-dimensional optical trapping of a plasmonic nanoparticle using low numerical aperture optical tweezers,” Sci. Rep. 5(1), 8106 (2015).
[Crossref] [PubMed]

O. Brzobohatý, M. Šiler, L. Chvátal, V. Karásek, and P. Zemánek, “Optical trapping of non-spherical plasmonic nanoparticles,” Proc. SPIE 8999, 899909 (2014).
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P. Jákl, A. V. Arzola, M. Šiler, L. Chvátal, K. Volke-Sepúlveda, and P. Zemánek, “Optical sorting of nonspherical and living microobjects in moving interference structures,” Opt. Express 22(24), 29746–29760 (2014).
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O. Brzobohatý, M. Šiler, J. Ježek, P. Jákl, and P. Zemánek, “Optical manipulation of aerosol droplets using a holographic dual and single beam trap,” Opt. Lett. 38(22), 4601–4604 (2013).
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O. Brzobohatý, V. Karásek, M. Šiler, L. Chvátal, T. Čižmár, and P. Zemánek, “Experimental demonstration of optical transport, sorting and self-arrangement using a ‘tractor beam’,” Nat. Photonics 7(2), 123–127 (2013).
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Sinev, I.

I. Sinev, I. Iorsh, A. Bogdanov, D. Permyakov, F. Komissarenko, I. Mukhin, A. Samusev, V. Valuckas, A. I. Kuznetsov, B. S. Luk’yanchuk, A. E. Miroshnichenko, and Y. S. Kivshar, “Polarization control over electric and magnetic dipole resonances of dielectric nanoparticles on metallic films,” Laser Photon. Rev. 10(5), 799−806 (2016).

Slobozhanyuk, A. P.

D. S. Filonov, A. P. Slobozhanyuk, A. E. Krasnok, P. A. Belov, E. A. Nenasheva, B. Hopkins, A. E. Miroshnichenko, and Y. S. Kivshar, “Near-field mapping of Fano resonances in all-dielectric oligomers,” Appl. Phys. Lett. 104(2), 021104 (2014).
[Crossref]

Su, Y.

H. Wang, P. Liu, Y. Ke, Y. Su, L. Zhang, N. Xu, S. Deng, and H. Chen, “Janus magneto-electric nanosphere dimers exhibiting unidirectional visible light scattering and strong electromagnetic field enhancement,” ACS Nano 9(1), 436–448 (2015).
[Crossref] [PubMed]

Suárez-Lacalle, I.

R. Gómez-Medina, B. García-Cámara, I. Suárez-Lacalle, F. González, F. Moreno, M. Nieto-Vesperinas, and J. J. Sáenz, “Electric and magnetic dipolar response of germanium nanospheres: interference effects, scattering anisotropy, and optical forces,” J. Nanophotonics 5(1), 053512 (2011).
[Crossref]

Sugiura, T.

Sukhov, S.

S. Sukhov and A. Dogariu, “Negative nonconservative forces: optical “tractor beams” for arbitrary objects,” Phys. Rev. Lett. 107(20), 203602 (2011).
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Tripathi, R. P.

P. P. Patra, R. Chikkaraddy, R. P. Tripathi, A. Dasgupta, and G. V. Kumar, “Plasmofluidic single-molecule surface-enhanced Raman scattering from dynamic assembly of plasmonic nanoparticles,” Nat. Commun. 5, 4357 (2014).
[Crossref] [PubMed]

Trojek, J.

O. Brzobohatý, M. Šiler, J. Trojek, L. Chvátal, V. Karásek, A. Paták, Z. Pokorná, F. Mika, and P. Zemánek, “Three-dimensional optical trapping of a plasmonic nanoparticle using low numerical aperture optical tweezers,” Sci. Rep. 5(1), 8106 (2015).
[Crossref] [PubMed]

Tsuchimoto, Y.

Tuzer, T. U.

L. Shi, T. U. Tuzer, R. Fenollosa, and F. Meseguer, “A new dielectric metamaterial building block with a strong magnetic response in the sub-1.5-micrometer region: silicon colloid nanocavities,” Adv. Mater. 24(44), 5934–5938 (2012).
[Crossref] [PubMed]

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, M. Nieto-Vesperinas, J. J. Sáenz, and F. Moreno, “Magnetic and electric coherence in forward- and back-scattered electromagnetic waves by a single dielectric subwavelength sphere,” Nat. Commun. 3, 1171 (2012).
[Crossref] [PubMed]

Valuckas, V.

I. Sinev, I. Iorsh, A. Bogdanov, D. Permyakov, F. Komissarenko, I. Mukhin, A. Samusev, V. Valuckas, A. I. Kuznetsov, B. S. Luk’yanchuk, A. E. Miroshnichenko, and Y. S. Kivshar, “Polarization control over electric and magnetic dipole resonances of dielectric nanoparticles on metallic films,” Laser Photon. Rev. 10(5), 799−806 (2016).

Volke-Sepúlveda, K.

Volpe, G.

G. Volpe, R. Quidant, G. Badenes, and D. Petrov, “Surface plasmon radiation forces,” Phys. Rev. Lett. 96(23), 238101 (2006).
[Crossref] [PubMed]

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).
[Crossref] [PubMed]

Wang, D. S.

Wang, F.

A. Andres-Arroyo, B. Gupta, F. Wang, J. J. Gooding, and P. J. Reece, “Optical manipulation and spectroscopy of silicon nanoparticles exhibiting dielectric resonances,” Nano Lett. 16(3), 1903–1910 (2016).
[Crossref] [PubMed]

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]

H. Wang, P. Liu, Y. Ke, Y. Su, L. Zhang, N. Xu, S. Deng, and H. Chen, “Janus magneto-electric nanosphere dimers exhibiting unidirectional visible light scattering and strong electromagnetic field enhancement,” ACS Nano 9(1), 436–448 (2015).
[Crossref] [PubMed]

A. Novitsky, C. W. Qiu, and H. Wang, “Single gradientless light beam drags particles as tractor beams,” Phys. Rev. Lett. 107(20), 203601 (2011).
[Crossref] [PubMed]

Wang, N.

J. Chen, N. Wang, L. Cui, X. Li, Z. Lin, and J. Ng, “Optical twist induced by plasmonic resonance,” Sci. Rep. 6(1), 27927 (2016).
[Crossref] [PubMed]

Wicks, G.

S. Person, M. Jain, Z. Lapin, J. J. Sáenz, G. Wicks, and L. Novotny, “Demonstration of zero optical backscattering from single nanoparticles,” Nano Lett. 13(4), 1806–1809 (2013).
[Crossref] [PubMed]

Xu, N.

H. Wang, P. Liu, Y. Ke, Y. Su, L. Zhang, N. Xu, S. Deng, and H. Chen, “Janus magneto-electric nanosphere dimers exhibiting unidirectional visible light scattering and strong electromagnetic field enhancement,” ACS Nano 9(1), 436–448 (2015).
[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).
[Crossref] [PubMed]

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]

Yano, T. A.

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]

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]

Yuan, G.

C. Min, Z. Shen, J. Shen, Y. Zhang, H. Fang, G. Yuan, L. Du, S. Zhu, T. Lei, and X. Yuan, “Focused plasmonic trapping of metallic particles,” Nat. Commun. 4, 2891 (2013).
[Crossref] [PubMed]

Yuan, X.

C. Min, Z. Shen, J. Shen, Y. Zhang, H. Fang, G. Yuan, L. Du, S. Zhu, T. Lei, and X. Yuan, “Focused plasmonic trapping of metallic particles,” Nat. Commun. 4, 2891 (2013).
[Crossref] [PubMed]

Zemánek, P.

O. Brzobohatý, M. Šiler, J. Trojek, L. Chvátal, V. Karásek, A. Paták, Z. Pokorná, F. Mika, and P. Zemánek, “Three-dimensional optical trapping of a plasmonic nanoparticle using low numerical aperture optical tweezers,” Sci. Rep. 5(1), 8106 (2015).
[Crossref] [PubMed]

O. Brzobohatý, M. Šiler, L. Chvátal, V. Karásek, and P. Zemánek, “Optical trapping of non-spherical plasmonic nanoparticles,” Proc. SPIE 8999, 899909 (2014).
[Crossref]

P. Jákl, A. V. Arzola, M. Šiler, L. Chvátal, K. Volke-Sepúlveda, and P. Zemánek, “Optical sorting of nonspherical and living microobjects in moving interference structures,” Opt. Express 22(24), 29746–29760 (2014).
[Crossref] [PubMed]

O. Brzobohatý, M. Šiler, J. Ježek, P. Jákl, and P. Zemánek, “Optical manipulation of aerosol droplets using a holographic dual and single beam trap,” Opt. Lett. 38(22), 4601–4604 (2013).
[Crossref] [PubMed]

O. Brzobohatý, V. Karásek, M. Šiler, L. Chvátal, T. Čižmár, and P. Zemánek, “Experimental demonstration of optical transport, sorting and self-arrangement using a ‘tractor beam’,” Nat. Photonics 7(2), 123–127 (2013).
[Crossref]

Zhang, J.

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

Zhang, L.

H. Wang, P. Liu, Y. Ke, Y. Su, L. Zhang, N. Xu, S. Deng, and H. Chen, “Janus magneto-electric nanosphere dimers exhibiting unidirectional visible light scattering and strong electromagnetic field enhancement,” ACS Nano 9(1), 436–448 (2015).
[Crossref] [PubMed]

Zhang, Y.

C. Min, Z. Shen, J. Shen, Y. Zhang, H. Fang, G. Yuan, L. Du, S. Zhu, T. Lei, and X. Yuan, “Focused plasmonic trapping of metallic particles,” Nat. Commun. 4, 2891 (2013).
[Crossref] [PubMed]

Zhu, S.

C. Min, Z. Shen, J. Shen, Y. Zhang, H. Fang, G. Yuan, L. Du, S. Zhu, T. Lei, and X. Yuan, “Focused plasmonic trapping of metallic particles,” Nat. Commun. 4, 2891 (2013).
[Crossref] [PubMed]

Zywietz, U.

U. Zywietz, A. B. Evlyukhin, C. Reinhardt, and B. N. Chichkov, “Laser printing of silicon nanoparticles with resonant optical electric and magnetic responses,” Nat. Commun. 5, 3402 (2014).
[Crossref] [PubMed]

U. Zywietz, C. Reinhardt, A. B. Evlyukhin, T. Birr, and B. N. Chichkov, “Generation and patterning of Si nanoparticles by femtosecond laser pulses,” Appl. Phys., A Mater. Sci. Process. 114(1), 45–50 (2014).
[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(7), 3749–3755 (2012).
[Crossref] [PubMed]

ACS Nano (2)

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]

H. Wang, P. Liu, Y. Ke, Y. Su, L. Zhang, N. Xu, S. Deng, and H. Chen, “Janus magneto-electric nanosphere dimers exhibiting unidirectional visible light scattering and strong electromagnetic field enhancement,” ACS Nano 9(1), 436–448 (2015).
[Crossref] [PubMed]

Adv. Mater. (1)

L. Shi, T. U. Tuzer, R. Fenollosa, and F. Meseguer, “A new dielectric metamaterial building block with a strong magnetic response in the sub-1.5-micrometer region: silicon colloid nanocavities,” Adv. Mater. 24(44), 5934–5938 (2012).
[Crossref] [PubMed]

Appl. Phys. Lett. (1)

D. S. Filonov, A. P. Slobozhanyuk, A. E. Krasnok, P. A. Belov, E. A. Nenasheva, B. Hopkins, A. E. Miroshnichenko, and Y. S. Kivshar, “Near-field mapping of Fano resonances in all-dielectric oligomers,” Appl. Phys. Lett. 104(2), 021104 (2014).
[Crossref]

Appl. Phys., A Mater. Sci. Process. (1)

U. Zywietz, C. Reinhardt, A. B. Evlyukhin, T. Birr, and B. N. Chichkov, “Generation and patterning of Si nanoparticles by femtosecond laser pulses,” Appl. Phys., A Mater. Sci. Process. 114(1), 45–50 (2014).
[Crossref]

J. Nanophotonics (1)

R. Gómez-Medina, B. García-Cámara, I. Suárez-Lacalle, F. González, F. Moreno, M. Nieto-Vesperinas, and J. J. Sáenz, “Electric and magnetic dipolar response of germanium nanospheres: interference effects, scattering anisotropy, and optical forces,” J. Nanophotonics 5(1), 053512 (2011).
[Crossref]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (2)

J. Phys. Chem. C (1)

P. Albella, M. A. Poyli, M. K. Schmidt, S. A. Maier, F. Moreno, J. J. Sáenz, and J. Aizpurua, “Low-loss electric and magnetic field-enhanced spectroscopy with subwavelength silicon dimers,” J. Phys. Chem. C 117(26), 13573–13584 (2013).
[Crossref]

Laser Photon. Rev. (1)

I. Sinev, I. Iorsh, A. Bogdanov, D. Permyakov, F. Komissarenko, I. Mukhin, A. Samusev, V. Valuckas, A. I. Kuznetsov, B. S. Luk’yanchuk, A. E. Miroshnichenko, and Y. S. Kivshar, “Polarization control over electric and magnetic dipole resonances of dielectric nanoparticles on metallic films,” Laser Photon. Rev. 10(5), 799−806 (2016).

Nano Lett. (4)

S. Person, M. Jain, Z. Lapin, J. J. Sáenz, G. Wicks, and L. Novotny, “Demonstration of zero optical backscattering from single nanoparticles,” Nano Lett. 13(4), 1806–1809 (2013).
[Crossref] [PubMed]

A. E. Miroshnichenko and Y. S. Kivshar, “Fano resonances in all-dielectric oligomers,” Nano Lett. 12(12), 6459–6463 (2012).
[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(7), 3749–3755 (2012).
[Crossref] [PubMed]

A. Andres-Arroyo, B. Gupta, F. Wang, J. J. Gooding, and P. J. Reece, “Optical manipulation and spectroscopy of silicon nanoparticles exhibiting dielectric resonances,” Nano Lett. 16(3), 1903–1910 (2016).
[Crossref] [PubMed]

Nat. Commun. (6)

C. Min, Z. Shen, J. Shen, Y. Zhang, H. Fang, G. Yuan, L. Du, S. Zhu, T. Lei, and X. Yuan, “Focused plasmonic trapping of metallic particles,” Nat. Commun. 4, 2891 (2013).
[Crossref] [PubMed]

P. P. Patra, R. Chikkaraddy, R. P. Tripathi, A. Dasgupta, and G. V. Kumar, “Plasmofluidic single-molecule surface-enhanced Raman scattering from dynamic assembly of plasmonic nanoparticles,” Nat. Commun. 5, 4357 (2014).
[Crossref] [PubMed]

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

U. Zywietz, A. B. Evlyukhin, C. Reinhardt, and B. N. Chichkov, “Laser printing of silicon nanoparticles with resonant optical electric and magnetic responses,” Nat. Commun. 5, 3402 (2014).
[Crossref] [PubMed]

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]

Nat. Photonics (3)

M. L. Juan, M. Righini, and R. Quidant, “Plasmon nano-optical tweezers,” Nat. Photonics 5(6), 349–356 (2011).
[Crossref]

J. Chen, J. Ng, Z. F. Lin, and C. T. Chan, “Optical pulling force,” Nat. Photonics 5(9), 531–534 (2011).
[Crossref]

O. Brzobohatý, V. Karásek, M. Šiler, L. Chvátal, T. Čižmár, and P. Zemánek, “Experimental demonstration of optical transport, sorting and self-arrangement using a ‘tractor beam’,” Nat. Photonics 7(2), 123–127 (2013).
[Crossref]

Opt. Express (6)

Opt. Lett. (4)

Phys. Rev. A (1)

B. Hopkins, A. N. Poddubny, A. E. Miroshnichenko, and Y. S. Kivshar, “Revisiting the physics of Fano resonances for nanoparticle oligomers,” Phys. Rev. A 88(5), 053819 (2013).
[Crossref]

Phys. Rev. B (1)

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(4), 045404 (2010).
[Crossref]

Phys. Rev. Lett. (4)

A. Ashkin, “Acceleration and trapping of particles by radiation pressure,” Phys. Rev. Lett. 24(4), 156–159 (1970).
[Crossref]

G. Volpe, R. Quidant, G. Badenes, and D. Petrov, “Surface plasmon radiation forces,” Phys. Rev. Lett. 96(23), 238101 (2006).
[Crossref] [PubMed]

S. Sukhov and A. Dogariu, “Negative nonconservative forces: optical “tractor beams” for arbitrary objects,” Phys. Rev. Lett. 107(20), 203602 (2011).
[Crossref] [PubMed]

A. Novitsky, C. W. Qiu, and H. Wang, “Single gradientless light beam drags particles as tractor beams,” Phys. Rev. Lett. 107(20), 203601 (2011).
[Crossref] [PubMed]

Proc. SPIE (1)

O. Brzobohatý, M. Šiler, L. Chvátal, V. Karásek, and P. Zemánek, “Optical trapping of non-spherical plasmonic nanoparticles,” Proc. SPIE 8999, 899909 (2014).
[Crossref]

Sci. Rep. (4)

J. Chen, J. Ng, K. Ding, K. H. Fung, Z. Lin, and C. T. Chan, “Negative optical torque,” Sci. Rep. 4(1), 6386 (2015).
[Crossref] [PubMed]

J. Chen, N. Wang, L. Cui, X. Li, Z. Lin, and J. Ng, “Optical twist induced by plasmonic resonance,” Sci. Rep. 6(1), 27927 (2016).
[Crossref] [PubMed]

O. Brzobohatý, M. Šiler, J. Trojek, L. Chvátal, V. Karásek, A. Paták, Z. Pokorná, F. Mika, and P. Zemánek, “Three-dimensional optical trapping of a plasmonic nanoparticle using low numerical aperture optical tweezers,” Sci. Rep. 5(1), 8106 (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).
[Crossref] [PubMed]

Science (1)

A. I. Kuznetsov, A. E. Miroshnichenko, M. L. Brongersma, Y. S. Kivshar, and B. Luk’yanchuk, “Optically resonant dielectric nanostructures,” Science 354(6314), 2472 (2016).
[Crossref] [PubMed]

Other (2)

A commercial software developed by Lumerical Solutions Inc. ( https://www.lumerical.com ) is used for the numerical simulations.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (John Wiley & Sons, 1983).

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Figures (7)

Fig. 1
Fig. 1 (a) Schematic showing the use of two interfering waves to generate an optical pulling force for a Si NS. The orientations of the ED and MD induced in the Si NS by the two interfering waves with s- and p polarizations and the resulting directional scattering and optical force are illustrated. (b) Various parameters used to characterize the incident plane wave. (c) and (d) Schematics showing two s- and p-polarized waves, respectively.
Fig. 2
Fig. 2 Wavelength dependence of the total optical force (Ftotal) and various components (Fe, Fm, and Fem) acting on the Si NS with r = 100 nm calculated for the irradiation of single plane wave (a) and two s-polarized waves with an incidence angle of θ = 78° (b). (c) Dependence of total optical force (Ftotal) and various components (Fe, Fm, and Fem) on the incidence angle. (d) Dependence of the optical force in the z direction (Fz) on the radius of the Si NS calculated for two s-polarized waves with λ = 800 nm and θ = 78°.
Fig. 3
Fig. 3 (a) Dependence of the optical force in the z direction exerted on the Si NS with r = 100 nm on the incidence angle calculated for the incident wave with polarization angles of γ = 0° (p-polarized), 30°, 60°, and 90° (s-polarized). (b) Dependence of the optical force in the z direction on the incidence angle calculated for the Si and PS NSs with r = 100 nm irradiated with s- and p-polarized waves. In both cases, the wavelength of the incident wave is chosen at the minimum of Fem (λ = 800 nm for the Si NS and λ = 340 nm for the PS NS). (c) Radiation patterns of the Si NS with r = 100 nm in the xz plane calculated at λ = 800 nm for γ = 0° (p-polarized), 30°, 60°, and 90° (s-polarized) with an incidence angle of θ = 78°.
Fig. 4
Fig. 4 (a) Wavelength dependence of the optical force in the z direction calculated theoretically and simulated numerically for the s-polarized wave with θ = 78°. (b) Comparison of the spectrum of the optical force in the z direction with the scattering spectrum of the Si NS with r = 100 nm. The absorption spectrum of the Si NS is also provided.
Fig. 5
Fig. 5 (a) Correlation between the spectrum of the optical force and that of the ratio of the forward to backward scattering. (b) Radiation patterns in the xz plane calculated at λ = 800 and 580 nm for two s-polarized waves with θ = 78°. (c) Electric and magnetic field distributions calculated for the Si NS with r = 100 nm at λ = 800 and 580 nm where the maximum optical pulling and pushing forces are observed, respectively.
Fig. 6
Fig. 6 (a) Dependence of the optical force in the z direction on the radius of the Si NS calculated for s- and p-polarized waves with λ = 800 nm and θ = 85°. (b) Dependence of the optical force in the z direction acting on a Si NS with r = 450 nm on the incidence angle calculated for s- and p-polarized waves at λ = 800 nm. (c) Dependence of the optical force in the z direction acting on a Si NS with r = 450 nm on the incidence angle calculated for s- and p-polarized waves at λ = 3360 nm. (d) Radiation patterns of the Si NS with r = 450 nm calculated for s- and p-polarized waves with λ = 800 nm and θ = 80°.
Fig. 7
Fig. 7 (a) Wavelength dependence of the optical force in the z direction of the Si NS with r = 450 nm calculated for two s-polarized waves with θ = 80°. The scattering spectrum of the Si NS calculated by using Mie theory is also provided for comparison. The one-one correspondences between the scattering peaks and the Mie scattering coefficients are indicted in the scattering spectrum. (b) Spectra of the forward and backward scattering and their ratio calculated for the Si NS with r = 450 nm. (c) and (d) show the wavelength dependence of the optical force in the z direction and the ratio of the forward to backward scattering in the long- and short-wavelength regions, respectively. The correlations between the maximum optical pulling/pushing force and the maxima/minima of the ratio are indicated by dashed lines.

Equations (23)

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F = 1 2 [ ( E ( i ) ) p + ( B ( i ) ) m 2 k 4 3 μ ε ( p × m ) ]
E = E 0 i = 1 , 2 ( θ k i cos γ i + ϕ k i sin γ i ) exp ( i k k i r ) ,
F z s = F e z s + F m z s + F e m z s = 4 F 0 [ 1 r 3 ( ε - 1 α e cos θ + μ α m cos 3 θ ) 2 μ k 3 3 ε r 3 ( α e α m ) cos θ ] ,
Q s c a t = 2 x 2 n = 1 ( 2 n + 1 ) ( | a n | 2 + | b n | 2 ) .
α e = i 3 ε 2 k 3 a 1 α m = i 3 2 μ k 3 b 1 ,
k 1 = ( sin θ , 0 , cos θ ) , θ 1 = ( cos θ , 0 , sin θ ) , ϕ 1 = ( 0 , 1 , 0 ) ,
k 2 = ( sin θ , 0 , cos θ ) , θ 2 = ( cos θ , 0 , sin θ ) , ϕ 2 = ( 0 , 1 , 0 ) .
E = E 1 + E 2 = E 1 y + E 2 y = E 0 ( 0 , 1 , 0 ) exp [ i k ( x sin θ + z cos θ ) ] + E 0 ( 0 , 1 , 0 ) exp [ i k ( x sin θ + z cos θ ) ]
p = p 1 + p 2 = α e ( E 1 + E 2 ) .
[ ( E ) p ] z = p x z E x + p y z E y + p z z E z = p y z E y = 2 i k α e E 0 2 cos θ i k α e E 0 2 cos θ exp ( 2 i k x sin θ ) i k α e E 0 2 cos θ exp ( 2 i k x sin θ ) = 4 i k α e E 0 2 cos θ ( x = 0 )
< F e > z s = 1 2 [ ( E ) p ] z = 2 k E 0 2 cos θ ( α e )
B 1 = μ ε ( k 1 × E 1 ) = μ ε [ i E 1 y cos θ + k E 1 y sin θ ]
B 2 = μ ε ( k 2 × E 2 ) = μ ε [ i E 2 y cos θ k E 2 y sin θ ]
m = m 1 + m 2 = α m ( B 1 + B 2 )
< F m > z s = 1 2 [ ( B ) m ] z = 2 k ε μ E 0 2 cos 3 θ ( α m )
< F e m > z s = k 4 3 μ ε ( α e α m ) ( E × B ) z = 4 μ k 4 3 E 0 2 ( α e α m ) cos θ
F = F e + F m + F e m = e z k ε E 0 2 2 [ ( ε 1 α e + μ α m ) 2 μ k 3 3 ε ( α e α m ) ]
E = E 1 + E 2 = E 0 ( cos θ , 0 , sin θ ) exp [ i k ( x sin θ + z cos θ ) ] + E 0 ( cos θ , 0 , sin θ ) exp [ i k ( x sin θ + z cos θ ) ]
< F e > z p = 1 2 [ ( E ) p ] z = 2 k E 0 2 cos θ sin 2 θ ( α e )
B 1 = μ ε ( k 1 × E 1 ) = j μ ε ( E 1 x cos θ E 1 z sin θ ) = B 1 y
B 2 = μ ε ( k 2 × E 2 ) = j μ ε ( E 2 x cos θ + E 2 z sin θ ) = B 2 y
< F m > z p = 1 2 [ ( B ) m ] z = 1 2 [ m x z B x + m y z B y + m z z B z ] = 0
< F e m > z p = k 4 3 μ ε ( α e α m ) ( E × B ) z = k 4 3 μ ε ( α e α m ) [ ( E 1 x B 1 y E 1 y B 1 x ) + ( E 2 x B 2 y E 2 y B 2 x ) + ( E 1 x B 2 y E 1 y B 2 x ) + ( E 2 x B 1 y E 2 y B 1 x ) ] = 0

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