Abstract

A novel multi-focusing metalens in the longitudinal direction has been proposed and investigated based on the equal optical path principle, which is independent on the incident polarizations and can be suitable for both of the linear and circular polarization incidences simultaneously. Here, three novel designing principles: partitioned mode, radial alternating mode and angular alternating mode, have been proposed firstly for constructing different types of the longitudinal multi-focusing metalenses. The performances of the designed metalenses based on the different designed methods have also been analyzed and investigated in detail, and the intensity ratio of the focusing spots can be tuned easily by modulating the numbers of the relative type of nanoantennas, which is significant for the micro-manipulating optics and the multi-imaging technology in the integrated optics.

© 2015 Optical Society of America

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References

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2015 (5)

W. Wang, Y. Li, Z. Y. Guo, R. Z. Li, J. R. Zhang, A. J. Zhang, and S. L. Qu, “Ultra-thin optical vortex phase plate based on the metasurface and the angular momentum transformation,” J. Opt. 17(4), 045102 (2015).
[Crossref]

W. Wang, Z. Guo, R. Li, J. Zhang, Y. Li, Y. Liu, X. Wang, and S. Qu, “Plasmonics metalens independent from the incident polarizations,” Opt. Express 23(13), 16782–16791 (2015).
[Crossref] [PubMed]

W. Wang, Z. Y. Guo, R. Z. Li, J. R. Zhang, Y. Liu, X. S. Wang, and S. L. Qu, “Ultra-thin, planar, broadband, dual-polarity plasmonic metalens,” Photonics Res. 3(3), 68–71 (2015).
[Crossref]

X. Z. Chen, M. Chen, M. Q. Mehmood, D. D. Wen, F. Y. Yue, C. W. Qiu, and S. Zhang, “Longitudinal multifoci metalens for circularly polarized light,” Adv. Opt. Mater. 3(9), 1201–1206 (2015).
[Crossref]

W. Wang, Z. Y. Guo, R. Z. Li, J. R. Zhang, A. J. Zhang, Y. Li, Y. Liu, X. S. Wang, and S. L. Qu, “L-shaped metasurface for both the linear and circular polarization conversions,” J. Opt. 17(6), 065103 (2015).
[Crossref]

2014 (3)

2013 (7)

2012 (8)

M. Kang, T. Feng, H. T. Wang, and J. Li, “Wave front engineering from an array of thin aperture antennas,” Opt. Express 20(14), 15882–15890 (2012).
[Crossref] [PubMed]

F. Aieta, P. Genevet, M. A. Kats, N. Yu, R. Blanchard, Z. Gaburro, and F. Capasso, “Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces,” Nano Lett. 12(9), 4932–4936 (2012).
[Crossref] [PubMed]

X. Ni, N. K. Emani, A. V. Kildishev, A. Boltasseva, and V. M. Shalaev, “Broadband light bending with plasmonic nanoantennas,” Science 335(6067), 427 (2012).
[Crossref] [PubMed]

M. Kats, P. Genevet, G. Aoust, N. Yu, R. Blanchard, F. Aieta, Z. Gaburro, and F. Capasso, “Giant birefringence in optical antenna arrays with widely tailorable optical anisotropy,” Proc. Natl. Acad. Sci. U.S.A. 109(31), 12364–12368 (2012).
[Crossref]

P. Genevet, N. F. Yu, F. Aieta, J. Lin, M. A. Kats, R. Blanchard, M. O. Scully, Z. Gaburro, and F. Capasso, “Ultra-thin plasmonic optical vortex plate based on phase discontinuities,” Appl. Phys. Lett. 100(1), 013101 (2012).
[Crossref]

F. Aieta, P. Genevet, M. A. Kats, N. Yu, R. Blanchard, Z. Gaburro, and F. Capasso, “Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces,” Nano Lett. 12(9), 4932–4936 (2012).
[Crossref] [PubMed]

X. Chen, L. Huang, H. Mühlenbernd, G. Li, B. Bai, Q. Tan, G. Jin, C. W. Qiu, S. Zhang, and T. Zentgraf, “Dual-polarity plasmonic metalens for visible light,” Nat. Commun. 3, 1198 (2012).
[Crossref] [PubMed]

S. Larouche, Y. J. Tsai, T. Tyler, N. M. Jokerst, and D. R. Smith, “Infrared metamaterial phase holograms,” Nat. Mater. 11(5), 450–454 (2012).
[Crossref] [PubMed]

2011 (3)

2010 (3)

T. Ergin, N. Stenger, P. Brenner, J. B. Pendry, and M. Wegener, “Three-dimensional invisibility cloak at optical wavelengths,” Science 328(5976), 337–339 (2010).
[Crossref] [PubMed]

N. Kundtz and D. R. Smith, “Extreme-angle broadband metamaterial lens,” Nat. Mater. 9(2), 129–132 (2010).
[Crossref] [PubMed]

H. F. Ma and T. J. Cui, “Three-dimensional broadband and broad-angle transformation-optics lens,” Nat. Commun. 1(8), 124 (2010).
[Crossref] [PubMed]

2009 (1)

B. Edwards, A. Alù, M. G. Silveirinha, and N. Engheta, “Experimental verification of plasmonic cloaking at microwave frequencies with metamaterials,” Phys. Rev. Lett. 103(15), 153901 (2009).
[Crossref] [PubMed]

2008 (1)

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, “Three-dimensional optical metamaterial with a negative refractive index,” Nature 455(7211), 376–379 (2008).
[Crossref] [PubMed]

2007 (1)

V. M. Shalaev, “Optical negative-index metamaterials,” Nat. Photonics 1(1), 41–48 (2007).
[Crossref]

Aieta, F.

F. Aieta, P. Genevet, M. A. Kats, N. Yu, R. Blanchard, Z. Gaburro, and F. Capasso, “Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces,” Nano Lett. 12(9), 4932–4936 (2012).
[Crossref] [PubMed]

P. Genevet, N. F. Yu, F. Aieta, J. Lin, M. A. Kats, R. Blanchard, M. O. Scully, Z. Gaburro, and F. Capasso, “Ultra-thin plasmonic optical vortex plate based on phase discontinuities,” Appl. Phys. Lett. 100(1), 013101 (2012).
[Crossref]

M. Kats, P. Genevet, G. Aoust, N. Yu, R. Blanchard, F. Aieta, Z. Gaburro, and F. Capasso, “Giant birefringence in optical antenna arrays with widely tailorable optical anisotropy,” Proc. Natl. Acad. Sci. U.S.A. 109(31), 12364–12368 (2012).
[Crossref]

F. Aieta, P. Genevet, M. A. Kats, N. Yu, R. Blanchard, Z. Gaburro, and F. Capasso, “Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces,” Nano Lett. 12(9), 4932–4936 (2012).
[Crossref] [PubMed]

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light propagation with phase discontinuities: generalized laws of reflection and refraction,” Science 334(6054), 333–337 (2011).
[Crossref] [PubMed]

Alù, A.

B. Edwards, A. Alù, M. G. Silveirinha, and N. Engheta, “Experimental verification of plasmonic cloaking at microwave frequencies with metamaterials,” Phys. Rev. Lett. 103(15), 153901 (2009).
[Crossref] [PubMed]

Aoust, G.

M. Kats, P. Genevet, G. Aoust, N. Yu, R. Blanchard, F. Aieta, Z. Gaburro, and F. Capasso, “Giant birefringence in optical antenna arrays with widely tailorable optical anisotropy,” Proc. Natl. Acad. Sci. U.S.A. 109(31), 12364–12368 (2012).
[Crossref]

Arbouet, A.

L. J. Black, Y. Wang, C. H. de Groot, A. Arbouet, and O. L. Muskens, “Optimal polarization conversion in coupled dimer plasmonic nanoantennas for metasurfaces,” ACS Nano 8(6), 6390–6399 (2014).
[Crossref] [PubMed]

Bai, B.

X. Chen, L. Huang, H. Mühlenbernd, G. Li, B. Bai, Q. Tan, G. Jin, C. W. Qiu, S. Zhang, and T. Zentgraf, “Dual-polarity plasmonic metalens for visible light,” Nat. Commun. 3, 1198 (2012).
[Crossref] [PubMed]

Bartal, G.

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, “Three-dimensional optical metamaterial with a negative refractive index,” Nature 455(7211), 376–379 (2008).
[Crossref] [PubMed]

Black, L. J.

L. J. Black, Y. Wang, C. H. de Groot, A. Arbouet, and O. L. Muskens, “Optimal polarization conversion in coupled dimer plasmonic nanoantennas for metasurfaces,” ACS Nano 8(6), 6390–6399 (2014).
[Crossref] [PubMed]

Blanchard, R.

F. Aieta, P. Genevet, M. A. Kats, N. Yu, R. Blanchard, Z. Gaburro, and F. Capasso, “Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces,” Nano Lett. 12(9), 4932–4936 (2012).
[Crossref] [PubMed]

P. Genevet, N. F. Yu, F. Aieta, J. Lin, M. A. Kats, R. Blanchard, M. O. Scully, Z. Gaburro, and F. Capasso, “Ultra-thin plasmonic optical vortex plate based on phase discontinuities,” Appl. Phys. Lett. 100(1), 013101 (2012).
[Crossref]

F. Aieta, P. Genevet, M. A. Kats, N. Yu, R. Blanchard, Z. Gaburro, and F. Capasso, “Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces,” Nano Lett. 12(9), 4932–4936 (2012).
[Crossref] [PubMed]

M. Kats, P. Genevet, G. Aoust, N. Yu, R. Blanchard, F. Aieta, Z. Gaburro, and F. Capasso, “Giant birefringence in optical antenna arrays with widely tailorable optical anisotropy,” Proc. Natl. Acad. Sci. U.S.A. 109(31), 12364–12368 (2012).
[Crossref]

Boltasseva, A.

X. Ni, N. K. Emani, A. V. Kildishev, A. Boltasseva, and V. M. Shalaev, “Broadband light bending with plasmonic nanoantennas,” Science 335(6067), 427 (2012).
[Crossref] [PubMed]

Bozhevolnyi, S. I.

A. Pors, M. G. Nielsen, R. L. Eriksen, and S. I. Bozhevolnyi, “Broadband Focusing Flat Mirrors Based on Plasmonic Gradient Metasurfaces,” Nano Lett. 13(2), 829–834 (2013).
[Crossref] [PubMed]

Brenner, P.

T. Ergin, N. Stenger, P. Brenner, J. B. Pendry, and M. Wegener, “Three-dimensional invisibility cloak at optical wavelengths,” Science 328(5976), 337–339 (2010).
[Crossref] [PubMed]

Cai, W.

Cao, Y.

Capasso, F.

F. Aieta, P. Genevet, M. A. Kats, N. Yu, R. Blanchard, Z. Gaburro, and F. Capasso, “Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces,” Nano Lett. 12(9), 4932–4936 (2012).
[Crossref] [PubMed]

M. Kats, P. Genevet, G. Aoust, N. Yu, R. Blanchard, F. Aieta, Z. Gaburro, and F. Capasso, “Giant birefringence in optical antenna arrays with widely tailorable optical anisotropy,” Proc. Natl. Acad. Sci. U.S.A. 109(31), 12364–12368 (2012).
[Crossref]

P. Genevet, N. F. Yu, F. Aieta, J. Lin, M. A. Kats, R. Blanchard, M. O. Scully, Z. Gaburro, and F. Capasso, “Ultra-thin plasmonic optical vortex plate based on phase discontinuities,” Appl. Phys. Lett. 100(1), 013101 (2012).
[Crossref]

F. Aieta, P. Genevet, M. A. Kats, N. Yu, R. Blanchard, Z. Gaburro, and F. Capasso, “Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces,” Nano Lett. 12(9), 4932–4936 (2012).
[Crossref] [PubMed]

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light propagation with phase discontinuities: generalized laws of reflection and refraction,” Science 334(6054), 333–337 (2011).
[Crossref] [PubMed]

Chen, M.

X. Z. Chen, M. Chen, M. Q. Mehmood, D. D. Wen, F. Y. Yue, C. W. Qiu, and S. Zhang, “Longitudinal multifoci metalens for circularly polarized light,” Adv. Opt. Mater. 3(9), 1201–1206 (2015).
[Crossref]

Chen, X.

X. Chen, L. Huang, H. Mühlenbernd, G. Li, B. Bai, Q. Tan, G. Jin, C. W. Qiu, S. Zhang, and T. Zentgraf, “Dual-polarity plasmonic metalens for visible light,” Nat. Commun. 3, 1198 (2012).
[Crossref] [PubMed]

Chen, X. Z.

X. Z. Chen, M. Chen, M. Q. Mehmood, D. D. Wen, F. Y. Yue, C. W. Qiu, and S. Zhang, “Longitudinal multifoci metalens for circularly polarized light,” Adv. Opt. Mater. 3(9), 1201–1206 (2015).
[Crossref]

Cui, T. J.

H. F. Ma and T. J. Cui, “Three-dimensional broadband and broad-angle transformation-optics lens,” Nat. Commun. 1(8), 124 (2010).
[Crossref] [PubMed]

de Groot, C. H.

L. J. Black, Y. Wang, C. H. de Groot, A. Arbouet, and O. L. Muskens, “Optimal polarization conversion in coupled dimer plasmonic nanoantennas for metasurfaces,” ACS Nano 8(6), 6390–6399 (2014).
[Crossref] [PubMed]

Deng, Q.

Du, C.

Edwards, B.

B. Edwards, A. Alù, M. G. Silveirinha, and N. Engheta, “Experimental verification of plasmonic cloaking at microwave frequencies with metamaterials,” Phys. Rev. Lett. 103(15), 153901 (2009).
[Crossref] [PubMed]

Emani, N. K.

X. Ni, N. K. Emani, A. V. Kildishev, A. Boltasseva, and V. M. Shalaev, “Broadband light bending with plasmonic nanoantennas,” Science 335(6067), 427 (2012).
[Crossref] [PubMed]

Engheta, N.

B. Edwards, A. Alù, M. G. Silveirinha, and N. Engheta, “Experimental verification of plasmonic cloaking at microwave frequencies with metamaterials,” Phys. Rev. Lett. 103(15), 153901 (2009).
[Crossref] [PubMed]

Ergin, T.

T. Ergin, N. Stenger, P. Brenner, J. B. Pendry, and M. Wegener, “Three-dimensional invisibility cloak at optical wavelengths,” Science 328(5976), 337–339 (2010).
[Crossref] [PubMed]

Eriksen, R. L.

A. Pors, M. G. Nielsen, R. L. Eriksen, and S. I. Bozhevolnyi, “Broadband Focusing Flat Mirrors Based on Plasmonic Gradient Metasurfaces,” Nano Lett. 13(2), 829–834 (2013).
[Crossref] [PubMed]

Feng, S. F.

X. Y. Jiang, J. S. Ye, J. W. He, X. K. Wang, D. Hu, S. F. Feng, Q. Kan, and Y. Zhang, “An ultrathin terahertz lens with axial long focal depth based on metasurfaces,” Opt. Express 21(24), 30030–30038 (2013).
[Crossref] [PubMed]

D. Hu, X. K. Wang, S. F. Feng, J. S. Ye, W. F. Sun, Q. Kan, P. J. Klar, and Y. Zhang, “Ultrathin terahertz planar elements,” Adv. Opt. Mater. 1(2), 186–191 (2013).
[Crossref]

Feng, T.

Gaburro, Z.

P. Genevet, N. F. Yu, F. Aieta, J. Lin, M. A. Kats, R. Blanchard, M. O. Scully, Z. Gaburro, and F. Capasso, “Ultra-thin plasmonic optical vortex plate based on phase discontinuities,” Appl. Phys. Lett. 100(1), 013101 (2012).
[Crossref]

F. Aieta, P. Genevet, M. A. Kats, N. Yu, R. Blanchard, Z. Gaburro, and F. Capasso, “Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces,” Nano Lett. 12(9), 4932–4936 (2012).
[Crossref] [PubMed]

M. Kats, P. Genevet, G. Aoust, N. Yu, R. Blanchard, F. Aieta, Z. Gaburro, and F. Capasso, “Giant birefringence in optical antenna arrays with widely tailorable optical anisotropy,” Proc. Natl. Acad. Sci. U.S.A. 109(31), 12364–12368 (2012).
[Crossref]

F. Aieta, P. Genevet, M. A. Kats, N. Yu, R. Blanchard, Z. Gaburro, and F. Capasso, “Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces,” Nano Lett. 12(9), 4932–4936 (2012).
[Crossref] [PubMed]

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light propagation with phase discontinuities: generalized laws of reflection and refraction,” Science 334(6054), 333–337 (2011).
[Crossref] [PubMed]

Gao, H.

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P. Genevet, N. F. Yu, F. Aieta, J. Lin, M. A. Kats, R. Blanchard, M. O. Scully, Z. Gaburro, and F. Capasso, “Ultra-thin plasmonic optical vortex plate based on phase discontinuities,” Appl. Phys. Lett. 100(1), 013101 (2012).
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W. Wang, Z. Y. Guo, R. Z. Li, J. R. Zhang, A. J. Zhang, Y. Li, Y. Liu, X. S. Wang, and S. L. Qu, “L-shaped metasurface for both the linear and circular polarization conversions,” J. Opt. 17(6), 065103 (2015).
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W. Wang, Z. Y. Guo, R. Z. Li, J. R. Zhang, Y. Liu, X. S. Wang, and S. L. Qu, “Ultra-thin, planar, broadband, dual-polarity plasmonic metalens,” Photonics Res. 3(3), 68–71 (2015).
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He, J. W.

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X. Y. Jiang, J. S. Ye, J. W. He, X. K. Wang, D. Hu, S. F. Feng, Q. Kan, and Y. Zhang, “An ultrathin terahertz lens with axial long focal depth based on metasurfaces,” Opt. Express 21(24), 30030–30038 (2013).
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S. Larouche, Y. J. Tsai, T. Tyler, N. M. Jokerst, and D. R. Smith, “Infrared metamaterial phase holograms,” Nat. Mater. 11(5), 450–454 (2012).
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X. Y. Jiang, J. S. Ye, J. W. He, X. K. Wang, D. Hu, S. F. Feng, Q. Kan, and Y. Zhang, “An ultrathin terahertz lens with axial long focal depth based on metasurfaces,” Opt. Express 21(24), 30030–30038 (2013).
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M. Kats, P. Genevet, G. Aoust, N. Yu, R. Blanchard, F. Aieta, Z. Gaburro, and F. Capasso, “Giant birefringence in optical antenna arrays with widely tailorable optical anisotropy,” Proc. Natl. Acad. Sci. U.S.A. 109(31), 12364–12368 (2012).
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F. Aieta, P. Genevet, M. A. Kats, N. Yu, R. Blanchard, Z. Gaburro, and F. Capasso, “Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces,” Nano Lett. 12(9), 4932–4936 (2012).
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[Crossref]

F. Aieta, P. Genevet, M. A. Kats, N. Yu, R. Blanchard, Z. Gaburro, and F. Capasso, “Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces,” Nano Lett. 12(9), 4932–4936 (2012).
[Crossref] [PubMed]

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light propagation with phase discontinuities: generalized laws of reflection and refraction,” Science 334(6054), 333–337 (2011).
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X. J. Ni, S. Ishii, A. V. Kildishev, and V. M. Shalaev, “Ultra-thin, planar, Babinet-inverted plasmonic metalenses,” Light Sci. Appl. 2(4), 72–77 (2013).
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X. Ni, N. K. Emani, A. V. Kildishev, A. Boltasseva, and V. M. Shalaev, “Broadband light bending with plasmonic nanoantennas,” Science 335(6067), 427 (2012).
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D. Hu, X. K. Wang, S. F. Feng, J. S. Ye, W. F. Sun, Q. Kan, P. J. Klar, and Y. Zhang, “Ultrathin terahertz planar elements,” Adv. Opt. Mater. 1(2), 186–191 (2013).
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N. Kundtz and D. R. Smith, “Extreme-angle broadband metamaterial lens,” Nat. Mater. 9(2), 129–132 (2010).
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S. Larouche, Y. J. Tsai, T. Tyler, N. M. Jokerst, and D. R. Smith, “Infrared metamaterial phase holograms,” Nat. Mater. 11(5), 450–454 (2012).
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X. Chen, L. Huang, H. Mühlenbernd, G. Li, B. Bai, Q. Tan, G. Jin, C. W. Qiu, S. Zhang, and T. Zentgraf, “Dual-polarity plasmonic metalens for visible light,” Nat. Commun. 3, 1198 (2012).
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Li, J.

Li, R.

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W. Wang, Z. Y. Guo, R. Z. Li, J. R. Zhang, A. J. Zhang, Y. Li, Y. Liu, X. S. Wang, and S. L. Qu, “L-shaped metasurface for both the linear and circular polarization conversions,” J. Opt. 17(6), 065103 (2015).
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W. Wang, Z. Y. Guo, R. Z. Li, J. R. Zhang, Y. Liu, X. S. Wang, and S. L. Qu, “Ultra-thin, planar, broadband, dual-polarity plasmonic metalens,” Photonics Res. 3(3), 68–71 (2015).
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W. Wang, Y. Li, Z. Y. Guo, R. Z. Li, J. R. Zhang, A. J. Zhang, and S. L. Qu, “Ultra-thin optical vortex phase plate based on the metasurface and the angular momentum transformation,” J. Opt. 17(4), 045102 (2015).
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R. Z. Li, Z. Y. Guo, W. Wang, J. R. Zhang, K. Y. Zhou, J. L. Liu, S. L. Qu, J. Gao, and S. T. Liu, “Arbitrary focusing lens by holographic metasurface,” Photonics Res.in press.

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W. Wang, Y. Li, Z. Y. Guo, R. Z. Li, J. R. Zhang, A. J. Zhang, and S. L. Qu, “Ultra-thin optical vortex phase plate based on the metasurface and the angular momentum transformation,” J. Opt. 17(4), 045102 (2015).
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W. Wang, Z. Guo, R. Li, J. Zhang, Y. Li, Y. Liu, X. Wang, and S. Qu, “Plasmonics metalens independent from the incident polarizations,” Opt. Express 23(13), 16782–16791 (2015).
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W. Wang, Z. Y. Guo, R. Z. Li, J. R. Zhang, A. J. Zhang, Y. Li, Y. Liu, X. S. Wang, and S. L. Qu, “L-shaped metasurface for both the linear and circular polarization conversions,” J. Opt. 17(6), 065103 (2015).
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P. Genevet, N. F. Yu, F. Aieta, J. Lin, M. A. Kats, R. Blanchard, M. O. Scully, Z. Gaburro, and F. Capasso, “Ultra-thin plasmonic optical vortex plate based on phase discontinuities,” Appl. Phys. Lett. 100(1), 013101 (2012).
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R. Z. Li, Z. Y. Guo, W. Wang, J. R. Zhang, K. Y. Zhou, J. L. Liu, S. L. Qu, J. Gao, and S. T. Liu, “Arbitrary focusing lens by holographic metasurface,” Photonics Res.in press.

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R. Z. Li, Z. Y. Guo, W. Wang, J. R. Zhang, K. Y. Zhou, J. L. Liu, S. L. Qu, J. Gao, and S. T. Liu, “Arbitrary focusing lens by holographic metasurface,” Photonics Res.in press.

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W. Wang, Z. Guo, R. Li, J. Zhang, Y. Li, Y. Liu, X. Wang, and S. Qu, “Plasmonics metalens independent from the incident polarizations,” Opt. Express 23(13), 16782–16791 (2015).
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W. Wang, Z. Y. Guo, R. Z. Li, J. R. Zhang, A. J. Zhang, Y. Li, Y. Liu, X. S. Wang, and S. L. Qu, “L-shaped metasurface for both the linear and circular polarization conversions,” J. Opt. 17(6), 065103 (2015).
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X. Chen, L. Huang, H. Mühlenbernd, G. Li, B. Bai, Q. Tan, G. Jin, C. W. Qiu, S. Zhang, and T. Zentgraf, “Dual-polarity plasmonic metalens for visible light,” Nat. Commun. 3, 1198 (2012).
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L. J. Black, Y. Wang, C. H. de Groot, A. Arbouet, and O. L. Muskens, “Optimal polarization conversion in coupled dimer plasmonic nanoantennas for metasurfaces,” ACS Nano 8(6), 6390–6399 (2014).
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X. Ni, N. K. Emani, A. V. Kildishev, A. Boltasseva, and V. M. Shalaev, “Broadband light bending with plasmonic nanoantennas,” Science 335(6067), 427 (2012).
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X. J. Ni, S. Ishii, A. V. Kildishev, and V. M. Shalaev, “Ultra-thin, planar, Babinet-inverted plasmonic metalenses,” Light Sci. Appl. 2(4), 72–77 (2013).
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W. Wang, Z. Y. Guo, R. Z. Li, J. R. Zhang, A. J. Zhang, Y. Li, Y. Liu, X. S. Wang, and S. L. Qu, “L-shaped metasurface for both the linear and circular polarization conversions,” J. Opt. 17(6), 065103 (2015).
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W. Wang, Z. Y. Guo, R. Z. Li, J. R. Zhang, Y. Liu, X. S. Wang, and S. L. Qu, “Ultra-thin, planar, broadband, dual-polarity plasmonic metalens,” Photonics Res. 3(3), 68–71 (2015).
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W. Wang, Y. Li, Z. Y. Guo, R. Z. Li, J. R. Zhang, A. J. Zhang, and S. L. Qu, “Ultra-thin optical vortex phase plate based on the metasurface and the angular momentum transformation,” J. Opt. 17(4), 045102 (2015).
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R. Z. Li, Z. Y. Guo, W. Wang, J. R. Zhang, K. Y. Zhou, J. L. Liu, S. L. Qu, J. Gao, and S. T. Liu, “Arbitrary focusing lens by holographic metasurface,” Photonics Res.in press.

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P. Genevet, N. F. Yu, F. Aieta, J. Lin, M. A. Kats, R. Blanchard, M. O. Scully, Z. Gaburro, and F. Capasso, “Ultra-thin plasmonic optical vortex plate based on phase discontinuities,” Appl. Phys. Lett. 100(1), 013101 (2012).
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X. J. Ni, S. Ishii, A. V. Kildishev, and V. M. Shalaev, “Ultra-thin, planar, Babinet-inverted plasmonic metalenses,” Light Sci. Appl. 2(4), 72–77 (2013).
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T. Ergin, N. Stenger, P. Brenner, J. B. Pendry, and M. Wegener, “Three-dimensional invisibility cloak at optical wavelengths,” Science 328(5976), 337–339 (2010).
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D. Hu, X. K. Wang, S. F. Feng, J. S. Ye, W. F. Sun, Q. Kan, P. J. Klar, and Y. Zhang, “Ultrathin terahertz planar elements,” Adv. Opt. Mater. 1(2), 186–191 (2013).
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X. Chen, L. Huang, H. Mühlenbernd, G. Li, B. Bai, Q. Tan, G. Jin, C. W. Qiu, S. Zhang, and T. Zentgraf, “Dual-polarity plasmonic metalens for visible light,” Nat. Commun. 3, 1198 (2012).
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N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light propagation with phase discontinuities: generalized laws of reflection and refraction,” Science 334(6054), 333–337 (2011).
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Tsai, Y. J.

S. Larouche, Y. J. Tsai, T. Tyler, N. M. Jokerst, and D. R. Smith, “Infrared metamaterial phase holograms,” Nat. Mater. 11(5), 450–454 (2012).
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S. Larouche, Y. J. Tsai, T. Tyler, N. M. Jokerst, and D. R. Smith, “Infrared metamaterial phase holograms,” Nat. Mater. 11(5), 450–454 (2012).
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J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, “Three-dimensional optical metamaterial with a negative refractive index,” Nature 455(7211), 376–379 (2008).
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[Crossref] [PubMed]

W. Wang, Z. Y. Guo, R. Z. Li, J. R. Zhang, Y. Liu, X. S. Wang, and S. L. Qu, “Ultra-thin, planar, broadband, dual-polarity plasmonic metalens,” Photonics Res. 3(3), 68–71 (2015).
[Crossref]

W. Wang, Z. Y. Guo, R. Z. Li, J. R. Zhang, A. J. Zhang, Y. Li, Y. Liu, X. S. Wang, and S. L. Qu, “L-shaped metasurface for both the linear and circular polarization conversions,” J. Opt. 17(6), 065103 (2015).
[Crossref]

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D. Hu, X. K. Wang, S. F. Feng, J. S. Ye, W. F. Sun, Q. Kan, P. J. Klar, and Y. Zhang, “Ultrathin terahertz planar elements,” Adv. Opt. Mater. 1(2), 186–191 (2013).
[Crossref]

X. Y. Jiang, J. S. Ye, J. W. He, X. K. Wang, D. Hu, S. F. Feng, Q. Kan, and Y. Zhang, “An ultrathin terahertz lens with axial long focal depth based on metasurfaces,” Opt. Express 21(24), 30030–30038 (2013).
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W. Wang, Z. Y. Guo, R. Z. Li, J. R. Zhang, Y. Liu, X. S. Wang, and S. L. Qu, “Ultra-thin, planar, broadband, dual-polarity plasmonic metalens,” Photonics Res. 3(3), 68–71 (2015).
[Crossref]

W. Wang, Z. Y. Guo, R. Z. Li, J. R. Zhang, A. J. Zhang, Y. Li, Y. Liu, X. S. Wang, and S. L. Qu, “L-shaped metasurface for both the linear and circular polarization conversions,” J. Opt. 17(6), 065103 (2015).
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L. J. Black, Y. Wang, C. H. de Groot, A. Arbouet, and O. L. Muskens, “Optimal polarization conversion in coupled dimer plasmonic nanoantennas for metasurfaces,” ACS Nano 8(6), 6390–6399 (2014).
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T. Ergin, N. Stenger, P. Brenner, J. B. Pendry, and M. Wegener, “Three-dimensional invisibility cloak at optical wavelengths,” Science 328(5976), 337–339 (2010).
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Wen, D. D.

X. Z. Chen, M. Chen, M. Q. Mehmood, D. D. Wen, F. Y. Yue, C. W. Qiu, and S. Zhang, “Longitudinal multifoci metalens for circularly polarized light,” Adv. Opt. Mater. 3(9), 1201–1206 (2015).
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Ye, J.

Ye, J. S.

D. Hu, X. K. Wang, S. F. Feng, J. S. Ye, W. F. Sun, Q. Kan, P. J. Klar, and Y. Zhang, “Ultrathin terahertz planar elements,” Adv. Opt. Mater. 1(2), 186–191 (2013).
[Crossref]

X. Y. Jiang, J. S. Ye, J. W. He, X. K. Wang, D. Hu, S. F. Feng, Q. Kan, and Y. Zhang, “An ultrathin terahertz lens with axial long focal depth based on metasurfaces,” Opt. Express 21(24), 30030–30038 (2013).
[Crossref] [PubMed]

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Yu, N.

F. Aieta, P. Genevet, M. A. Kats, N. Yu, R. Blanchard, Z. Gaburro, and F. Capasso, “Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces,” Nano Lett. 12(9), 4932–4936 (2012).
[Crossref] [PubMed]

M. Kats, P. Genevet, G. Aoust, N. Yu, R. Blanchard, F. Aieta, Z. Gaburro, and F. Capasso, “Giant birefringence in optical antenna arrays with widely tailorable optical anisotropy,” Proc. Natl. Acad. Sci. U.S.A. 109(31), 12364–12368 (2012).
[Crossref]

F. Aieta, P. Genevet, M. A. Kats, N. Yu, R. Blanchard, Z. Gaburro, and F. Capasso, “Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces,” Nano Lett. 12(9), 4932–4936 (2012).
[Crossref] [PubMed]

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light propagation with phase discontinuities: generalized laws of reflection and refraction,” Science 334(6054), 333–337 (2011).
[Crossref] [PubMed]

Yu, N. F.

P. Genevet, N. F. Yu, F. Aieta, J. Lin, M. A. Kats, R. Blanchard, M. O. Scully, Z. Gaburro, and F. Capasso, “Ultra-thin plasmonic optical vortex plate based on phase discontinuities,” Appl. Phys. Lett. 100(1), 013101 (2012).
[Crossref]

Yue, F. Y.

X. Z. Chen, M. Chen, M. Q. Mehmood, D. D. Wen, F. Y. Yue, C. W. Qiu, and S. Zhang, “Longitudinal multifoci metalens for circularly polarized light,” Adv. Opt. Mater. 3(9), 1201–1206 (2015).
[Crossref]

Zentgraf, T.

X. Chen, L. Huang, H. Mühlenbernd, G. Li, B. Bai, Q. Tan, G. Jin, C. W. Qiu, S. Zhang, and T. Zentgraf, “Dual-polarity plasmonic metalens for visible light,” Nat. Commun. 3, 1198 (2012).
[Crossref] [PubMed]

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, “Three-dimensional optical metamaterial with a negative refractive index,” Nature 455(7211), 376–379 (2008).
[Crossref] [PubMed]

Zhang, A.

Zhang, A. J.

W. Wang, Z. Y. Guo, R. Z. Li, J. R. Zhang, A. J. Zhang, Y. Li, Y. Liu, X. S. Wang, and S. L. Qu, “L-shaped metasurface for both the linear and circular polarization conversions,” J. Opt. 17(6), 065103 (2015).
[Crossref]

W. Wang, Y. Li, Z. Y. Guo, R. Z. Li, J. R. Zhang, A. J. Zhang, and S. L. Qu, “Ultra-thin optical vortex phase plate based on the metasurface and the angular momentum transformation,” J. Opt. 17(4), 045102 (2015).
[Crossref]

Zhang, J.

Zhang, J. R.

W. Wang, Z. Y. Guo, R. Z. Li, J. R. Zhang, A. J. Zhang, Y. Li, Y. Liu, X. S. Wang, and S. L. Qu, “L-shaped metasurface for both the linear and circular polarization conversions,” J. Opt. 17(6), 065103 (2015).
[Crossref]

W. Wang, Z. Y. Guo, R. Z. Li, J. R. Zhang, Y. Liu, X. S. Wang, and S. L. Qu, “Ultra-thin, planar, broadband, dual-polarity plasmonic metalens,” Photonics Res. 3(3), 68–71 (2015).
[Crossref]

W. Wang, Y. Li, Z. Y. Guo, R. Z. Li, J. R. Zhang, A. J. Zhang, and S. L. Qu, “Ultra-thin optical vortex phase plate based on the metasurface and the angular momentum transformation,” J. Opt. 17(4), 045102 (2015).
[Crossref]

R. Z. Li, Z. Y. Guo, W. Wang, J. R. Zhang, K. Y. Zhou, J. L. Liu, S. L. Qu, J. Gao, and S. T. Liu, “Arbitrary focusing lens by holographic metasurface,” Photonics Res.in press.

Zhang, S.

X. Z. Chen, M. Chen, M. Q. Mehmood, D. D. Wen, F. Y. Yue, C. W. Qiu, and S. Zhang, “Longitudinal multifoci metalens for circularly polarized light,” Adv. Opt. Mater. 3(9), 1201–1206 (2015).
[Crossref]

X. Chen, L. Huang, H. Mühlenbernd, G. Li, B. Bai, Q. Tan, G. Jin, C. W. Qiu, S. Zhang, and T. Zentgraf, “Dual-polarity plasmonic metalens for visible light,” Nat. Commun. 3, 1198 (2012).
[Crossref] [PubMed]

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, “Three-dimensional optical metamaterial with a negative refractive index,” Nature 455(7211), 376–379 (2008).
[Crossref] [PubMed]

Zhang, W.

Zhang, X.

Q. Yang, J. Gu, D. Wang, X. Zhang, Z. Tian, C. Ouyang, R. Singh, J. Han, and W. Zhang, “Efficient flat metasurface lens for terahertz imaging,” Opt. Express 22(21), 25931–25939 (2014).
[Crossref] [PubMed]

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, “Three-dimensional optical metamaterial with a negative refractive index,” Nature 455(7211), 376–379 (2008).
[Crossref] [PubMed]

Zhang, Y.

Zheng, X.

Zhou, F.

Zhou, K. Y.

R. Z. Li, Z. Y. Guo, W. Wang, J. R. Zhang, K. Y. Zhou, J. L. Liu, S. L. Qu, J. Gao, and S. T. Liu, “Arbitrary focusing lens by holographic metasurface,” Photonics Res.in press.

Zhu, Q.

ACS Nano (1)

L. J. Black, Y. Wang, C. H. de Groot, A. Arbouet, and O. L. Muskens, “Optimal polarization conversion in coupled dimer plasmonic nanoantennas for metasurfaces,” ACS Nano 8(6), 6390–6399 (2014).
[Crossref] [PubMed]

Adv. Opt. Mater. (2)

X. Z. Chen, M. Chen, M. Q. Mehmood, D. D. Wen, F. Y. Yue, C. W. Qiu, and S. Zhang, “Longitudinal multifoci metalens for circularly polarized light,” Adv. Opt. Mater. 3(9), 1201–1206 (2015).
[Crossref]

D. Hu, X. K. Wang, S. F. Feng, J. S. Ye, W. F. Sun, Q. Kan, P. J. Klar, and Y. Zhang, “Ultrathin terahertz planar elements,” Adv. Opt. Mater. 1(2), 186–191 (2013).
[Crossref]

Appl. Opt. (1)

Appl. Phys. Lett. (1)

P. Genevet, N. F. Yu, F. Aieta, J. Lin, M. A. Kats, R. Blanchard, M. O. Scully, Z. Gaburro, and F. Capasso, “Ultra-thin plasmonic optical vortex plate based on phase discontinuities,” Appl. Phys. Lett. 100(1), 013101 (2012).
[Crossref]

J. Opt. (2)

W. Wang, Y. Li, Z. Y. Guo, R. Z. Li, J. R. Zhang, A. J. Zhang, and S. L. Qu, “Ultra-thin optical vortex phase plate based on the metasurface and the angular momentum transformation,” J. Opt. 17(4), 045102 (2015).
[Crossref]

W. Wang, Z. Y. Guo, R. Z. Li, J. R. Zhang, A. J. Zhang, Y. Li, Y. Liu, X. S. Wang, and S. L. Qu, “L-shaped metasurface for both the linear and circular polarization conversions,” J. Opt. 17(6), 065103 (2015).
[Crossref]

Light Sci. Appl. (1)

X. J. Ni, S. Ishii, A. V. Kildishev, and V. M. Shalaev, “Ultra-thin, planar, Babinet-inverted plasmonic metalenses,” Light Sci. Appl. 2(4), 72–77 (2013).
[Crossref]

Nano Lett. (3)

A. Pors, M. G. Nielsen, R. L. Eriksen, and S. I. Bozhevolnyi, “Broadband Focusing Flat Mirrors Based on Plasmonic Gradient Metasurfaces,” Nano Lett. 13(2), 829–834 (2013).
[Crossref] [PubMed]

F. Aieta, P. Genevet, M. A. Kats, N. Yu, R. Blanchard, Z. Gaburro, and F. Capasso, “Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces,” Nano Lett. 12(9), 4932–4936 (2012).
[Crossref] [PubMed]

F. Aieta, P. Genevet, M. A. Kats, N. Yu, R. Blanchard, Z. Gaburro, and F. Capasso, “Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces,” Nano Lett. 12(9), 4932–4936 (2012).
[Crossref] [PubMed]

Nat. Commun. (2)

X. Chen, L. Huang, H. Mühlenbernd, G. Li, B. Bai, Q. Tan, G. Jin, C. W. Qiu, S. Zhang, and T. Zentgraf, “Dual-polarity plasmonic metalens for visible light,” Nat. Commun. 3, 1198 (2012).
[Crossref] [PubMed]

H. F. Ma and T. J. Cui, “Three-dimensional broadband and broad-angle transformation-optics lens,” Nat. Commun. 1(8), 124 (2010).
[Crossref] [PubMed]

Nat. Mater. (2)

S. Larouche, Y. J. Tsai, T. Tyler, N. M. Jokerst, and D. R. Smith, “Infrared metamaterial phase holograms,” Nat. Mater. 11(5), 450–454 (2012).
[Crossref] [PubMed]

N. Kundtz and D. R. Smith, “Extreme-angle broadband metamaterial lens,” Nat. Mater. 9(2), 129–132 (2010).
[Crossref] [PubMed]

Nat. Photonics (1)

V. M. Shalaev, “Optical negative-index metamaterials,” Nat. Photonics 1(1), 41–48 (2007).
[Crossref]

Nature (1)

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, “Three-dimensional optical metamaterial with a negative refractive index,” Nature 455(7211), 376–379 (2008).
[Crossref] [PubMed]

Opt. Express (9)

Q. Zhu, J. Ye, D. Wang, B. Gu, and Y. Zhang, “Optimal design of SPP-based metallic nanoaperture optical elements by using Yang-Gu algorithm,” Opt. Express 19(10), 9512–9522 (2011).
[Crossref] [PubMed]

M. Kang, T. Feng, H. T. Wang, and J. Li, “Wave front engineering from an array of thin aperture antennas,” Opt. Express 20(14), 15882–15890 (2012).
[Crossref] [PubMed]

F. Zhou, Y. Liu, and W. Cai, “Plasmonic holographic imaging with V-shaped nanoantenna array,” Opt. Express 21(4), 4348–4354 (2013).
[Crossref] [PubMed]

Z. Wei, Y. Cao, X. Su, Z. Gong, Y. Long, and H. Li, “Highly efficient beam steering with a transparent metasurface,” Opt. Express 21(9), 10739–10745 (2013).
[Crossref] [PubMed]

H. Pang, H. Gao, Q. Deng, S. Yin, Q. Qiu, and C. Du, “Multi-focus plasmonic lens design based on holography,” Opt. Express 21(16), 18689–18696 (2013).
[Crossref] [PubMed]

X. Y. Jiang, J. S. Ye, J. W. He, X. K. Wang, D. Hu, S. F. Feng, Q. Kan, and Y. Zhang, “An ultrathin terahertz lens with axial long focal depth based on metasurfaces,” Opt. Express 21(24), 30030–30038 (2013).
[Crossref] [PubMed]

Q. Yang, J. Gu, D. Wang, X. Zhang, Z. Tian, C. Ouyang, R. Singh, J. Han, and W. Zhang, “Efficient flat metasurface lens for terahertz imaging,” Opt. Express 22(21), 25931–25939 (2014).
[Crossref] [PubMed]

R. Li, Z. Guo, W. Wang, J. Zhang, A. Zhang, J. Liu, S. Qu, and J. Gao, “Ultra-thin circular polarization analyzer based on the metal rectangular split-ring resonators,” Opt. Express 22(23), 27968–27975 (2014).
[Crossref] [PubMed]

W. Wang, Z. Guo, R. Li, J. Zhang, Y. Li, Y. Liu, X. Wang, and S. Qu, “Plasmonics metalens independent from the incident polarizations,” Opt. Express 23(13), 16782–16791 (2015).
[Crossref] [PubMed]

Photonics Res. (1)

W. Wang, Z. Y. Guo, R. Z. Li, J. R. Zhang, Y. Liu, X. S. Wang, and S. L. Qu, “Ultra-thin, planar, broadband, dual-polarity plasmonic metalens,” Photonics Res. 3(3), 68–71 (2015).
[Crossref]

Phys. Rev. Lett. (1)

B. Edwards, A. Alù, M. G. Silveirinha, and N. Engheta, “Experimental verification of plasmonic cloaking at microwave frequencies with metamaterials,” Phys. Rev. Lett. 103(15), 153901 (2009).
[Crossref] [PubMed]

Proc. Natl. Acad. Sci. U.S.A. (1)

M. Kats, P. Genevet, G. Aoust, N. Yu, R. Blanchard, F. Aieta, Z. Gaburro, and F. Capasso, “Giant birefringence in optical antenna arrays with widely tailorable optical anisotropy,” Proc. Natl. Acad. Sci. U.S.A. 109(31), 12364–12368 (2012).
[Crossref]

Science (3)

T. Ergin, N. Stenger, P. Brenner, J. B. Pendry, and M. Wegener, “Three-dimensional invisibility cloak at optical wavelengths,” Science 328(5976), 337–339 (2010).
[Crossref] [PubMed]

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light propagation with phase discontinuities: generalized laws of reflection and refraction,” Science 334(6054), 333–337 (2011).
[Crossref] [PubMed]

X. Ni, N. K. Emani, A. V. Kildishev, A. Boltasseva, and V. M. Shalaev, “Broadband light bending with plasmonic nanoantennas,” Science 335(6067), 427 (2012).
[Crossref] [PubMed]

Other (1)

R. Z. Li, Z. Y. Guo, W. Wang, J. R. Zhang, K. Y. Zhou, J. L. Liu, S. L. Qu, J. Gao, and S. T. Liu, “Arbitrary focusing lens by holographic metasurface,” Photonics Res.in press.

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Figures (11)

Fig. 1
Fig. 1 Basic functional units. (a) Schematic of a L-shaped nanohole. (b) Phase shifts and transmitted amplitudes of the cross-polarized electric field of the proposed eight L-shaped nanoholes units on a thin gold filmat 808 nm under LP and CP normal incident wave.
Fig. 2
Fig. 2 (a) An illustration of one-focus metalens consisted of the L-shaped nanoholes array. (b) The solid curve shows the theoretical phase shift along radial direction, and the dots show the phase shifts that can be precisely provided by the designed different L-shaped nanoholes.
Fig. 3
Fig. 3 (a) The intensity profile of the cross-polarized transmitted light at the x-z plane with XLP incidence, and the inset shows the intensity distribution in x-y plane at z = 1.15µm. (b-d) show the similar cases for the YLP, LCP, RCP incidences respectively.
Fig. 4
Fig. 4 (a) Top-view of the designed double-focusing metalens consisted of L-shaped nanoholes based on the partitioned mode. (b) Schematic illustration of the designed double-focusing metalens. (c) The red and blue solid curve show the theoretical phase shift along radial direction for f = 1μm and f = 5μm respectively, and the dots show the phase shifts that can be precisely provided by the different L-shaped nanoholes.
Fig. 5
Fig. 5 (a) Intensity distributions of the YLP light at the x-z plane, under the XLP normal incidence, and the insets show the intensity distribution in x-y plane at the corresponding focusing positions respectively. (b) The electric field intensity along the x-axis at the focusing plane. Intensity distributions of the YLP light at the x-z plane, for the metalens with the intensity ratios of 3:2 (c) and 3:4 (d), under the XLP normal incidence.
Fig. 6
Fig. 6 The intensity profiles of the cross-polarized transmitted light at the x-z plane with YLP, LCP, RCP incidences.
Fig. 7
Fig. 7 (a) Top-view of the designed double-focusing metalens based on the radial alternating mode. (b) Schematic illustration of the designed double-focusing metalens. (c) The red and blue solid curves show the theoretical phase shifts along radial direction for f = 1μm and f = 5μm, respectively. The different dots indicate the phase shifts provided by different designs.
Fig. 8
Fig. 8 (a) Intensity distributions of the YLP light at the x-z plane, under the XLP incidence, and the insets show the intensity distributions in x-y plane at the corresponding focusing positions respectively. (b) The intensity along the x-axis at the focusing plane. Intensity distributions of the YLP light at the x-z plane, for the metalens with the intensity ratios of 3:2 (c) and 5:6 (d), under the XLP normal incidence.
Fig. 9
Fig. 9 (a) Top-view of the designed double-focusing metalens based on the angular alternating mode. (b) Schematic illustration of the designed double-focusing metalens. (c) The red and blue solid curves show the theoretical phase shift along radial direction for f = 1μm and f = 5μm, respectively. The dots show the phase shift that can be precisely provided by the designed L-shaped nanoholes.
Fig. 10
Fig. 10 (a) Intensity distributions of the YLP light at the x-z plane, under the XLP normal incidence, and the insets show the intensity distributions in x-y plane at the corresponding focusing positions respectively. (b) The electric field intensity along the x-axis at the focusing plane. Intensity distributions of the YLP light at the x-z plane, for the metalens with the intensity ratios of 4:3 (c) and 3:4 (d), under the XLP normal incidence.
Fig. 11
Fig. 11 (a) Intensity distributions of the YLP light at the x-z plane, under the XLP normal incidence, and the insets show the intensity distributions in x-y plane at the corresponding focusing positions respectively. (b) The electric field intensity along the x-axis at the focusing plane. Intensity distributions of the YLP light at the x-z plane, for the metalens with the intensity ratios of 4:4:3 (c) and 5:6:7 (d).

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

E out ={ 1 2 ( S+A ) e co + 1 2 ( SA ) e cross XLP,YLP 1 2 ( S+A ) e co + i 2 ( SA ) e cross LCP 1 2 ( S+A ) e co i 2 ( SA ) e cross RCP
φ(r)= 2π λ ( r 2 + f 2 f)
r= 2 m n λf+ m n 2 λ 2

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