Abstract

A reflective metasurface is proposed to create the three-dimensional curved beams based on holographic technique. In the design of the structure of holographic metasurface, the amplitude and phase distribution is obtained combining the generalized law of reflection and the method for producing two-dimensional Bessel beams. Furthermore, the holographic metasurface is implemented by the varying metallic square patch on the grounded dielectric substrate. The final experimental measurements confirm the theoretical analysis of fully vectorial integral equation and the full-wave simulation.

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

Full Article  |  PDF Article
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    [Crossref] [PubMed]
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    [Crossref]
  28. M. Ozaki, J. Kato, and S. Kawata, “Surface-plasmon holography with white-light illumination,” Science 332(6026), 218–220 (2011).
    [Crossref] [PubMed]
  29. Y. H. Chen, L. Huang, L. Gan, and Z. Y. Li, “Wavefront shaping of infrared light through a subwavelength hole,” Light Sci. Appl. 1(8), e26 (2012).
    [Crossref]
  30. D. Liu, B. Cheng, X. Pan, and L. Qiao, “A horn-fed frequency scanning holographic antenna based on generalized law of reflection,” Sci. Rep. 6(1), 31338 (2016).
    [Crossref] [PubMed]
  31. B. Wang, F. Dong, D. Yang, Z. Song, L. Xu, W. Chu, Q. Gong, and Y. Li, “Polarization-controlled color-tunable holograms with dielectric metasurfaces,” Optica 4(11), 1368–1371 (2017).
    [Crossref]
  32. Y. Montelongo, J. O. Tenorio-Pearl, W. I. Milne, and T. D. Wilkinson, “Polarization switchable diffraction based on subwavelength plasmonic nanoantennas,” Nano Lett. 14(1), 294–298 (2014).
    [Crossref] [PubMed]
  33. W. T. Chen, K. Y. Yang, C. M. Wang, Y. W. Huang, G. Sun, I. D. Chiang, C. Y. Liao, W. L. Hsu, H. T. Lin, S. Sun, L. Zhou, A. Q. Liu, and D. P. Tsai, “High-efficiency broadband meta-hologram with polarization-controlled dual images,” Nano Lett. 14(1), 225–230 (2014).
    [Crossref] [PubMed]
  34. L. Li, T. Jun Cui, W. Ji, S. Liu, J. Ding, X. Wan, Y. Bo Li, M. Jiang, C. W. Qiu, and S. Zhang, “Electromagnetic reprogrammable coding-metasurface holograms,” Nat. Commun. 8(1), 197 (2017).
    [Crossref] [PubMed]
  35. T. B. A. Senior, “Impedance boundary conditions for imperfectly conducting surfaces,” Appl. Sci. Res. 8(1), 418–436 (1960).
    [Crossref]
  36. L. Froehly, F. Courvoisier, A. Mathis, M. Jacquot, L. Furfaro, R. Giust, P. A. Lacourt, and J. M. Dudley, “Arbitrary accelerating micron-scale caustic beams in two and three dimensions,” Opt. Express 19(17), 16455–16465 (2011).
    [Crossref] [PubMed]
  37. B. Cheng, D. Liu, J. Wu, and H. Li, “Frequency scanning non-diffraction beam by metasurface,” Appl. Phys. Lett. 110(3), 031108 (2017).
    [Crossref]

2018 (1)

A. M. H. Wong and G. V. Eleftheriades, “Perfect anomalous reflection with a bipartite huygens’ metasurface,” Phys. Rev. X 8(1), 011036 (2018).
[Crossref]

2017 (6)

L. Jing, Z. Wang, R. Maturi, B. Zheng, H. Wang, Y. Yang, L. Shen, R. Hao, W. Yin, E. Li, and H. Chen, “Gradient chiral metamirrors for spin-selective anomalous reflection,” Laser Photonics Rev. 11(6), 1700115 (2017).
[Crossref]

B. Orazbayev, N. Mohammadi Estakhri, A. Alù, and M. Beruete, “Metasurface-based ultrathin carpet cloaks for millimeter waves,” Adv. Opt. Mater. 5(1), 1600606 (2017).
[Crossref]

Y. Ra’di, D. L. Sounas, and A. Alù, “Metagratings: beyond the limits of graded metasurfaces for wave front control,” Phys. Rev. Lett. 119(6), 067404 (2017).
[Crossref] [PubMed]

B. Wang, F. Dong, D. Yang, Z. Song, L. Xu, W. Chu, Q. Gong, and Y. Li, “Polarization-controlled color-tunable holograms with dielectric metasurfaces,” Optica 4(11), 1368–1371 (2017).
[Crossref]

L. Li, T. Jun Cui, W. Ji, S. Liu, J. Ding, X. Wan, Y. Bo Li, M. Jiang, C. W. Qiu, and S. Zhang, “Electromagnetic reprogrammable coding-metasurface holograms,” Nat. Commun. 8(1), 197 (2017).
[Crossref] [PubMed]

B. Cheng, D. Liu, J. Wu, and H. Li, “Frequency scanning non-diffraction beam by metasurface,” Appl. Phys. Lett. 110(3), 031108 (2017).
[Crossref]

2016 (5)

D. Liu, B. Cheng, X. Pan, and L. Qiao, “A horn-fed frequency scanning holographic antenna based on generalized law of reflection,” Sci. Rep. 6(1), 31338 (2016).
[Crossref] [PubMed]

Y. Yang, H. Wang, F. Yu, Z. Xu, and H. Chen, “A metasurface carpet cloak for electromagnetic, acoustic and water waves,” Sci. Rep. 6(1), 20219 (2016).
[Crossref] [PubMed]

Z. Wang, K. Yao, M. Chen, H. Chen, and Y. Liu, “Manipulating Smith-Purcell emission with Babinet metasurfaces,” Phys. Rev. Lett. 117(15), 157401 (2016).
[Crossref] [PubMed]

Z. Wang, H. Jia, K. Yao, W. Cai, H. Chen, and Y. Liu, “Circular dichroism metamirrors with near-perfect extinction,” ACS Photonics 3(11), 2096–2101 (2016).
[Crossref]

Y. Yang, L. Jing, B. Zheng, R. Hao, W. Yin, E. Li, C. M. Soukoulis, and H. Chen, “Full-polarization 3D metasurface cloak with preserved amplitude and phase,” Adv. Mater. 28(32), 6866–6871 (2016).
[Crossref] [PubMed]

2015 (2)

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

Y. Ra’di, C. R. Simovski, and S. A. Tretyakov, “Thin perfect absorbers for electromagnetic waves: theory, design, and realizations,” Phys. Rev. Appl. 3(3), 037001 (2015).
[Crossref]

2014 (2)

Y. Montelongo, J. O. Tenorio-Pearl, W. I. Milne, and T. D. Wilkinson, “Polarization switchable diffraction based on subwavelength plasmonic nanoantennas,” Nano Lett. 14(1), 294–298 (2014).
[Crossref] [PubMed]

W. T. Chen, K. Y. Yang, C. M. Wang, Y. W. Huang, G. Sun, I. D. Chiang, C. Y. Liao, W. L. Hsu, H. T. Lin, S. Sun, L. Zhou, A. Q. Liu, and D. P. Tsai, “High-efficiency broadband meta-hologram with polarization-controlled dual images,” Nano Lett. 14(1), 225–230 (2014).
[Crossref] [PubMed]

2013 (4)

G. Gok and A. Grbic, “Tailoring the phase and power flow of electromagnetic fields,” Phys. Rev. Lett. 111(23), 233904 (2013).
[Crossref] [PubMed]

X. Ni, A. V. Kildishev, and V. M. Shalaev, “Metasurface holograms for visible light,” Nat. Commun. 4(1), 2807 (2013).
[Crossref]

N. K. Grady, J. E. Heyes, D. R. Chowdhury, Y. Zeng, M. T. Reiten, A. K. Azad, A. J. Taylor, D. A. R. Dalvit, and H. T. Chen, “Terahertz metamaterials for linear polarization conversion and anomalous refraction,” Science 340(6138), 1304–1307 (2013).
[Crossref] [PubMed]

J. Hunt, T. Driscoll, A. Mrozack, G. Lipworth, M. Reynolds, D. Brady, and D. R. Smith, “Metamaterial apertures for computational imaging,” Science 339(6117), 310–313 (2013).
[Crossref] [PubMed]

2012 (3)

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]

S. Sun, K. Y. Yang, C. M. Wang, T. K. Juan, W. T. Chen, C. Y. Liao, Q. He, S. Xiao, W. T. Kung, G. Y. Guo, L. Zhou, and D. P. Tsai, “High-efficiency broadband anomalous reflection by gradient meta-surfaces,” Nano Lett. 12(12), 6223–6229 (2012).
[Crossref] [PubMed]

Y. H. Chen, L. Huang, L. Gan, and Z. Y. Li, “Wavefront shaping of infrared light through a subwavelength hole,” Light Sci. Appl. 1(8), e26 (2012).
[Crossref]

2011 (4)

M. Ozaki, J. Kato, and S. Kawata, “Surface-plasmon holography with white-light illumination,” Science 332(6026), 218–220 (2011).
[Crossref] [PubMed]

L. Froehly, F. Courvoisier, A. Mathis, M. Jacquot, L. Furfaro, R. Giust, P. A. Lacourt, and J. M. Dudley, “Arbitrary accelerating micron-scale caustic beams in two and three dimensions,” Opt. Express 19(17), 16455–16465 (2011).
[Crossref] [PubMed]

T. A. Lam, D. C. Vier, J. A. Nielsen, C. G. Parazzoli, and M. H. Tanielian, “Steering phased array antenna beams to the horizon using a buckyball NIM lens,” Proc. IEEE 99(10), 1755–1767 (2011).
[Crossref]

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]

2010 (1)

H. Chen, C. T. Chan, and P. Sheng, “Transformation optics and metamaterials,” Nat. Mater. 9(5), 387–396 (2010).
[Crossref] [PubMed]

2006 (3)

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314(5801), 977–980 (2006).
[Crossref] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[Crossref] [PubMed]

U. Leonhardt, “Optical conformal mapping,” Science 312(5781), 1777–1780 (2006).
[Crossref] [PubMed]

2004 (2)

D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, “Metamaterials and negative refractive index,” Science 305(5685), 788–792 (2004).
[Crossref] [PubMed]

H. Chen, L. Ran, J. Huangfu, X. Zhang, K. Chen, T. M. Grzegorczyk, and J. Au Kong, “Left-handed materials composed of only S-shaped resonators,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(5), 057605 (2004).
[Crossref] [PubMed]

2001 (1)

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).
[Crossref] [PubMed]

2000 (1)

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000).
[Crossref] [PubMed]

1960 (1)

T. B. A. Senior, “Impedance boundary conditions for imperfectly conducting surfaces,” Appl. Sci. Res. 8(1), 418–436 (1960).
[Crossref]

1948 (1)

D. Gabor, “A new microscopic principle,” Nature 161(4098), 777–778 (1948).
[Crossref] [PubMed]

Aieta, F.

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.

Y. Ra’di, D. L. Sounas, and A. Alù, “Metagratings: beyond the limits of graded metasurfaces for wave front control,” Phys. Rev. Lett. 119(6), 067404 (2017).
[Crossref] [PubMed]

B. Orazbayev, N. Mohammadi Estakhri, A. Alù, and M. Beruete, “Metasurface-based ultrathin carpet cloaks for millimeter waves,” Adv. Opt. Mater. 5(1), 1600606 (2017).
[Crossref]

Au Kong, J.

H. Chen, L. Ran, J. Huangfu, X. Zhang, K. Chen, T. M. Grzegorczyk, and J. Au Kong, “Left-handed materials composed of only S-shaped resonators,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(5), 057605 (2004).
[Crossref] [PubMed]

Azad, A. K.

N. K. Grady, J. E. Heyes, D. R. Chowdhury, Y. Zeng, M. T. Reiten, A. K. Azad, A. J. Taylor, D. A. R. Dalvit, and H. T. Chen, “Terahertz metamaterials for linear polarization conversion and anomalous refraction,” Science 340(6138), 1304–1307 (2013).
[Crossref] [PubMed]

Beruete, M.

B. Orazbayev, N. Mohammadi Estakhri, A. Alù, and M. Beruete, “Metasurface-based ultrathin carpet cloaks for millimeter waves,” Adv. Opt. Mater. 5(1), 1600606 (2017).
[Crossref]

Bo Li, Y.

L. Li, T. Jun Cui, W. Ji, S. Liu, J. Ding, X. Wan, Y. Bo Li, M. Jiang, C. W. Qiu, and S. Zhang, “Electromagnetic reprogrammable coding-metasurface holograms,” Nat. Commun. 8(1), 197 (2017).
[Crossref] [PubMed]

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]

Brady, D.

J. Hunt, T. Driscoll, A. Mrozack, G. Lipworth, M. Reynolds, D. Brady, and D. R. Smith, “Metamaterial apertures for computational imaging,” Science 339(6117), 310–313 (2013).
[Crossref] [PubMed]

Cai, W.

Z. Wang, H. Jia, K. Yao, W. Cai, H. Chen, and Y. Liu, “Circular dichroism metamirrors with near-perfect extinction,” ACS Photonics 3(11), 2096–2101 (2016).
[Crossref]

Capasso, F.

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]

Chan, C. T.

H. Chen, C. T. Chan, and P. Sheng, “Transformation optics and metamaterials,” Nat. Mater. 9(5), 387–396 (2010).
[Crossref] [PubMed]

Chen, H.

L. Jing, Z. Wang, R. Maturi, B. Zheng, H. Wang, Y. Yang, L. Shen, R. Hao, W. Yin, E. Li, and H. Chen, “Gradient chiral metamirrors for spin-selective anomalous reflection,” Laser Photonics Rev. 11(6), 1700115 (2017).
[Crossref]

Z. Wang, H. Jia, K. Yao, W. Cai, H. Chen, and Y. Liu, “Circular dichroism metamirrors with near-perfect extinction,” ACS Photonics 3(11), 2096–2101 (2016).
[Crossref]

Z. Wang, K. Yao, M. Chen, H. Chen, and Y. Liu, “Manipulating Smith-Purcell emission with Babinet metasurfaces,” Phys. Rev. Lett. 117(15), 157401 (2016).
[Crossref] [PubMed]

Y. Yang, L. Jing, B. Zheng, R. Hao, W. Yin, E. Li, C. M. Soukoulis, and H. Chen, “Full-polarization 3D metasurface cloak with preserved amplitude and phase,” Adv. Mater. 28(32), 6866–6871 (2016).
[Crossref] [PubMed]

Y. Yang, H. Wang, F. Yu, Z. Xu, and H. Chen, “A metasurface carpet cloak for electromagnetic, acoustic and water waves,” Sci. Rep. 6(1), 20219 (2016).
[Crossref] [PubMed]

H. Chen, C. T. Chan, and P. Sheng, “Transformation optics and metamaterials,” Nat. Mater. 9(5), 387–396 (2010).
[Crossref] [PubMed]

H. Chen, L. Ran, J. Huangfu, X. Zhang, K. Chen, T. M. Grzegorczyk, and J. Au Kong, “Left-handed materials composed of only S-shaped resonators,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(5), 057605 (2004).
[Crossref] [PubMed]

Chen, H. T.

N. K. Grady, J. E. Heyes, D. R. Chowdhury, Y. Zeng, M. T. Reiten, A. K. Azad, A. J. Taylor, D. A. R. Dalvit, and H. T. Chen, “Terahertz metamaterials for linear polarization conversion and anomalous refraction,” Science 340(6138), 1304–1307 (2013).
[Crossref] [PubMed]

Chen, K.

H. Chen, L. Ran, J. Huangfu, X. Zhang, K. Chen, T. M. Grzegorczyk, and J. Au Kong, “Left-handed materials composed of only S-shaped resonators,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(5), 057605 (2004).
[Crossref] [PubMed]

Chen, M.

Z. Wang, K. Yao, M. Chen, H. Chen, and Y. Liu, “Manipulating Smith-Purcell emission with Babinet metasurfaces,” Phys. Rev. Lett. 117(15), 157401 (2016).
[Crossref] [PubMed]

Chen, W. T.

W. T. Chen, K. Y. Yang, C. M. Wang, Y. W. Huang, G. Sun, I. D. Chiang, C. Y. Liao, W. L. Hsu, H. T. Lin, S. Sun, L. Zhou, A. Q. Liu, and D. P. Tsai, “High-efficiency broadband meta-hologram with polarization-controlled dual images,” Nano Lett. 14(1), 225–230 (2014).
[Crossref] [PubMed]

S. Sun, K. Y. Yang, C. M. Wang, T. K. Juan, W. T. Chen, C. Y. Liao, Q. He, S. Xiao, W. T. Kung, G. Y. Guo, L. Zhou, and D. P. Tsai, “High-efficiency broadband anomalous reflection by gradient meta-surfaces,” Nano Lett. 12(12), 6223–6229 (2012).
[Crossref] [PubMed]

Chen, Y. H.

Y. H. Chen, L. Huang, L. Gan, and Z. Y. Li, “Wavefront shaping of infrared light through a subwavelength hole,” Light Sci. Appl. 1(8), e26 (2012).
[Crossref]

Cheng, B.

B. Cheng, D. Liu, J. Wu, and H. Li, “Frequency scanning non-diffraction beam by metasurface,” Appl. Phys. Lett. 110(3), 031108 (2017).
[Crossref]

D. Liu, B. Cheng, X. Pan, and L. Qiao, “A horn-fed frequency scanning holographic antenna based on generalized law of reflection,” Sci. Rep. 6(1), 31338 (2016).
[Crossref] [PubMed]

Chiang, I. D.

W. T. Chen, K. Y. Yang, C. M. Wang, Y. W. Huang, G. Sun, I. D. Chiang, C. Y. Liao, W. L. Hsu, H. T. Lin, S. Sun, L. Zhou, A. Q. Liu, and D. P. Tsai, “High-efficiency broadband meta-hologram with polarization-controlled dual images,” Nano Lett. 14(1), 225–230 (2014).
[Crossref] [PubMed]

Chowdhury, D. R.

N. K. Grady, J. E. Heyes, D. R. Chowdhury, Y. Zeng, M. T. Reiten, A. K. Azad, A. J. Taylor, D. A. R. Dalvit, and H. T. Chen, “Terahertz metamaterials for linear polarization conversion and anomalous refraction,” Science 340(6138), 1304–1307 (2013).
[Crossref] [PubMed]

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Song, Z.

Soukoulis, C. M.

Y. Yang, L. Jing, B. Zheng, R. Hao, W. Yin, E. Li, C. M. Soukoulis, and H. Chen, “Full-polarization 3D metasurface cloak with preserved amplitude and phase,” Adv. Mater. 28(32), 6866–6871 (2016).
[Crossref] [PubMed]

Sounas, D. L.

Y. Ra’di, D. L. Sounas, and A. Alù, “Metagratings: beyond the limits of graded metasurfaces for wave front control,” Phys. Rev. Lett. 119(6), 067404 (2017).
[Crossref] [PubMed]

Starr, A. F.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314(5801), 977–980 (2006).
[Crossref] [PubMed]

Sun, G.

W. T. Chen, K. Y. Yang, C. M. Wang, Y. W. Huang, G. Sun, I. D. Chiang, C. Y. Liao, W. L. Hsu, H. T. Lin, S. Sun, L. Zhou, A. Q. Liu, and D. P. Tsai, “High-efficiency broadband meta-hologram with polarization-controlled dual images,” Nano Lett. 14(1), 225–230 (2014).
[Crossref] [PubMed]

Sun, S.

W. T. Chen, K. Y. Yang, C. M. Wang, Y. W. Huang, G. Sun, I. D. Chiang, C. Y. Liao, W. L. Hsu, H. T. Lin, S. Sun, L. Zhou, A. Q. Liu, and D. P. Tsai, “High-efficiency broadband meta-hologram with polarization-controlled dual images,” Nano Lett. 14(1), 225–230 (2014).
[Crossref] [PubMed]

S. Sun, K. Y. Yang, C. M. Wang, T. K. Juan, W. T. Chen, C. Y. Liao, Q. He, S. Xiao, W. T. Kung, G. Y. Guo, L. Zhou, and D. P. Tsai, “High-efficiency broadband anomalous reflection by gradient meta-surfaces,” Nano Lett. 12(12), 6223–6229 (2012).
[Crossref] [PubMed]

Tanielian, M. H.

T. A. Lam, D. C. Vier, J. A. Nielsen, C. G. Parazzoli, and M. H. Tanielian, “Steering phased array antenna beams to the horizon using a buckyball NIM lens,” Proc. IEEE 99(10), 1755–1767 (2011).
[Crossref]

Taylor, A. J.

N. K. Grady, J. E. Heyes, D. R. Chowdhury, Y. Zeng, M. T. Reiten, A. K. Azad, A. J. Taylor, D. A. R. Dalvit, and H. T. Chen, “Terahertz metamaterials for linear polarization conversion and anomalous refraction,” Science 340(6138), 1304–1307 (2013).
[Crossref] [PubMed]

Tenorio-Pearl, J. O.

Y. Montelongo, J. O. Tenorio-Pearl, W. I. Milne, and T. D. Wilkinson, “Polarization switchable diffraction based on subwavelength plasmonic nanoantennas,” Nano Lett. 14(1), 294–298 (2014).
[Crossref] [PubMed]

Tetienne, J. P.

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

Tretyakov, S. A.

Y. Ra’di, C. R. Simovski, and S. A. Tretyakov, “Thin perfect absorbers for electromagnetic waves: theory, design, and realizations,” Phys. Rev. Appl. 3(3), 037001 (2015).
[Crossref]

Tsai, D. P.

W. T. Chen, K. Y. Yang, C. M. Wang, Y. W. Huang, G. Sun, I. D. Chiang, C. Y. Liao, W. L. Hsu, H. T. Lin, S. Sun, L. Zhou, A. Q. Liu, and D. P. Tsai, “High-efficiency broadband meta-hologram with polarization-controlled dual images,” Nano Lett. 14(1), 225–230 (2014).
[Crossref] [PubMed]

S. Sun, K. Y. Yang, C. M. Wang, T. K. Juan, W. T. Chen, C. Y. Liao, Q. He, S. Xiao, W. T. Kung, G. Y. Guo, L. Zhou, and D. P. Tsai, “High-efficiency broadband anomalous reflection by gradient meta-surfaces,” Nano Lett. 12(12), 6223–6229 (2012).
[Crossref] [PubMed]

Vier, D. C.

T. A. Lam, D. C. Vier, J. A. Nielsen, C. G. Parazzoli, and M. H. Tanielian, “Steering phased array antenna beams to the horizon using a buckyball NIM lens,” Proc. IEEE 99(10), 1755–1767 (2011).
[Crossref]

Wan, X.

L. Li, T. Jun Cui, W. Ji, S. Liu, J. Ding, X. Wan, Y. Bo Li, M. Jiang, C. W. Qiu, and S. Zhang, “Electromagnetic reprogrammable coding-metasurface holograms,” Nat. Commun. 8(1), 197 (2017).
[Crossref] [PubMed]

Wang, B.

Wang, C. M.

W. T. Chen, K. Y. Yang, C. M. Wang, Y. W. Huang, G. Sun, I. D. Chiang, C. Y. Liao, W. L. Hsu, H. T. Lin, S. Sun, L. Zhou, A. Q. Liu, and D. P. Tsai, “High-efficiency broadband meta-hologram with polarization-controlled dual images,” Nano Lett. 14(1), 225–230 (2014).
[Crossref] [PubMed]

S. Sun, K. Y. Yang, C. M. Wang, T. K. Juan, W. T. Chen, C. Y. Liao, Q. He, S. Xiao, W. T. Kung, G. Y. Guo, L. Zhou, and D. P. Tsai, “High-efficiency broadband anomalous reflection by gradient meta-surfaces,” Nano Lett. 12(12), 6223–6229 (2012).
[Crossref] [PubMed]

Wang, H.

L. Jing, Z. Wang, R. Maturi, B. Zheng, H. Wang, Y. Yang, L. Shen, R. Hao, W. Yin, E. Li, and H. Chen, “Gradient chiral metamirrors for spin-selective anomalous reflection,” Laser Photonics Rev. 11(6), 1700115 (2017).
[Crossref]

Y. Yang, H. Wang, F. Yu, Z. Xu, and H. Chen, “A metasurface carpet cloak for electromagnetic, acoustic and water waves,” Sci. Rep. 6(1), 20219 (2016).
[Crossref] [PubMed]

Wang, Y.

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

Wang, Z.

L. Jing, Z. Wang, R. Maturi, B. Zheng, H. Wang, Y. Yang, L. Shen, R. Hao, W. Yin, E. Li, and H. Chen, “Gradient chiral metamirrors for spin-selective anomalous reflection,” Laser Photonics Rev. 11(6), 1700115 (2017).
[Crossref]

Z. Wang, H. Jia, K. Yao, W. Cai, H. Chen, and Y. Liu, “Circular dichroism metamirrors with near-perfect extinction,” ACS Photonics 3(11), 2096–2101 (2016).
[Crossref]

Z. Wang, K. Yao, M. Chen, H. Chen, and Y. Liu, “Manipulating Smith-Purcell emission with Babinet metasurfaces,” Phys. Rev. Lett. 117(15), 157401 (2016).
[Crossref] [PubMed]

Wilkinson, T. D.

Y. Montelongo, J. O. Tenorio-Pearl, W. I. Milne, and T. D. Wilkinson, “Polarization switchable diffraction based on subwavelength plasmonic nanoantennas,” Nano Lett. 14(1), 294–298 (2014).
[Crossref] [PubMed]

Wiltshire, M. C. K.

D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, “Metamaterials and negative refractive index,” Science 305(5685), 788–792 (2004).
[Crossref] [PubMed]

Wong, A. M. H.

A. M. H. Wong and G. V. Eleftheriades, “Perfect anomalous reflection with a bipartite huygens’ metasurface,” Phys. Rev. X 8(1), 011036 (2018).
[Crossref]

Wong, Z. J.

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

Wu, J.

B. Cheng, D. Liu, J. Wu, and H. Li, “Frequency scanning non-diffraction beam by metasurface,” Appl. Phys. Lett. 110(3), 031108 (2017).
[Crossref]

Xiao, S.

S. Sun, K. Y. Yang, C. M. Wang, T. K. Juan, W. T. Chen, C. Y. Liao, Q. He, S. Xiao, W. T. Kung, G. Y. Guo, L. Zhou, and D. P. Tsai, “High-efficiency broadband anomalous reflection by gradient meta-surfaces,” Nano Lett. 12(12), 6223–6229 (2012).
[Crossref] [PubMed]

Xu, L.

Xu, Z.

Y. Yang, H. Wang, F. Yu, Z. Xu, and H. Chen, “A metasurface carpet cloak for electromagnetic, acoustic and water waves,” Sci. Rep. 6(1), 20219 (2016).
[Crossref] [PubMed]

Yang, D.

Yang, K. Y.

W. T. Chen, K. Y. Yang, C. M. Wang, Y. W. Huang, G. Sun, I. D. Chiang, C. Y. Liao, W. L. Hsu, H. T. Lin, S. Sun, L. Zhou, A. Q. Liu, and D. P. Tsai, “High-efficiency broadband meta-hologram with polarization-controlled dual images,” Nano Lett. 14(1), 225–230 (2014).
[Crossref] [PubMed]

S. Sun, K. Y. Yang, C. M. Wang, T. K. Juan, W. T. Chen, C. Y. Liao, Q. He, S. Xiao, W. T. Kung, G. Y. Guo, L. Zhou, and D. P. Tsai, “High-efficiency broadband anomalous reflection by gradient meta-surfaces,” Nano Lett. 12(12), 6223–6229 (2012).
[Crossref] [PubMed]

Yang, Y.

L. Jing, Z. Wang, R. Maturi, B. Zheng, H. Wang, Y. Yang, L. Shen, R. Hao, W. Yin, E. Li, and H. Chen, “Gradient chiral metamirrors for spin-selective anomalous reflection,” Laser Photonics Rev. 11(6), 1700115 (2017).
[Crossref]

Y. Yang, L. Jing, B. Zheng, R. Hao, W. Yin, E. Li, C. M. Soukoulis, and H. Chen, “Full-polarization 3D metasurface cloak with preserved amplitude and phase,” Adv. Mater. 28(32), 6866–6871 (2016).
[Crossref] [PubMed]

Y. Yang, H. Wang, F. Yu, Z. Xu, and H. Chen, “A metasurface carpet cloak for electromagnetic, acoustic and water waves,” Sci. Rep. 6(1), 20219 (2016).
[Crossref] [PubMed]

Yao, K.

Z. Wang, H. Jia, K. Yao, W. Cai, H. Chen, and Y. Liu, “Circular dichroism metamirrors with near-perfect extinction,” ACS Photonics 3(11), 2096–2101 (2016).
[Crossref]

Z. Wang, K. Yao, M. Chen, H. Chen, and Y. Liu, “Manipulating Smith-Purcell emission with Babinet metasurfaces,” Phys. Rev. Lett. 117(15), 157401 (2016).
[Crossref] [PubMed]

Yin, W.

L. Jing, Z. Wang, R. Maturi, B. Zheng, H. Wang, Y. Yang, L. Shen, R. Hao, W. Yin, E. Li, and H. Chen, “Gradient chiral metamirrors for spin-selective anomalous reflection,” Laser Photonics Rev. 11(6), 1700115 (2017).
[Crossref]

Y. Yang, L. Jing, B. Zheng, R. Hao, W. Yin, E. Li, C. M. Soukoulis, and H. Chen, “Full-polarization 3D metasurface cloak with preserved amplitude and phase,” Adv. Mater. 28(32), 6866–6871 (2016).
[Crossref] [PubMed]

Yu, F.

Y. Yang, H. Wang, F. Yu, Z. Xu, and H. Chen, “A metasurface carpet cloak for electromagnetic, acoustic and water waves,” Sci. Rep. 6(1), 20219 (2016).
[Crossref] [PubMed]

Yu, N.

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]

Zeng, Y.

N. K. Grady, J. E. Heyes, D. R. Chowdhury, Y. Zeng, M. T. Reiten, A. K. Azad, A. J. Taylor, D. A. R. Dalvit, and H. T. Chen, “Terahertz metamaterials for linear polarization conversion and anomalous refraction,” Science 340(6138), 1304–1307 (2013).
[Crossref] [PubMed]

Zhang, S.

L. Li, T. Jun Cui, W. Ji, S. Liu, J. Ding, X. Wan, Y. Bo Li, M. Jiang, C. W. Qiu, and S. Zhang, “Electromagnetic reprogrammable coding-metasurface holograms,” Nat. Commun. 8(1), 197 (2017).
[Crossref] [PubMed]

Zhang, X.

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

H. Chen, L. Ran, J. Huangfu, X. Zhang, K. Chen, T. M. Grzegorczyk, and J. Au Kong, “Left-handed materials composed of only S-shaped resonators,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(5), 057605 (2004).
[Crossref] [PubMed]

Zheng, B.

L. Jing, Z. Wang, R. Maturi, B. Zheng, H. Wang, Y. Yang, L. Shen, R. Hao, W. Yin, E. Li, and H. Chen, “Gradient chiral metamirrors for spin-selective anomalous reflection,” Laser Photonics Rev. 11(6), 1700115 (2017).
[Crossref]

Y. Yang, L. Jing, B. Zheng, R. Hao, W. Yin, E. Li, C. M. Soukoulis, and H. Chen, “Full-polarization 3D metasurface cloak with preserved amplitude and phase,” Adv. Mater. 28(32), 6866–6871 (2016).
[Crossref] [PubMed]

Zhou, L.

W. T. Chen, K. Y. Yang, C. M. Wang, Y. W. Huang, G. Sun, I. D. Chiang, C. Y. Liao, W. L. Hsu, H. T. Lin, S. Sun, L. Zhou, A. Q. Liu, and D. P. Tsai, “High-efficiency broadband meta-hologram with polarization-controlled dual images,” Nano Lett. 14(1), 225–230 (2014).
[Crossref] [PubMed]

S. Sun, K. Y. Yang, C. M. Wang, T. K. Juan, W. T. Chen, C. Y. Liao, Q. He, S. Xiao, W. T. Kung, G. Y. Guo, L. Zhou, and D. P. Tsai, “High-efficiency broadband anomalous reflection by gradient meta-surfaces,” Nano Lett. 12(12), 6223–6229 (2012).
[Crossref] [PubMed]

ACS Photonics (1)

Z. Wang, H. Jia, K. Yao, W. Cai, H. Chen, and Y. Liu, “Circular dichroism metamirrors with near-perfect extinction,” ACS Photonics 3(11), 2096–2101 (2016).
[Crossref]

Adv. Mater. (1)

Y. Yang, L. Jing, B. Zheng, R. Hao, W. Yin, E. Li, C. M. Soukoulis, and H. Chen, “Full-polarization 3D metasurface cloak with preserved amplitude and phase,” Adv. Mater. 28(32), 6866–6871 (2016).
[Crossref] [PubMed]

Adv. Opt. Mater. (1)

B. Orazbayev, N. Mohammadi Estakhri, A. Alù, and M. Beruete, “Metasurface-based ultrathin carpet cloaks for millimeter waves,” Adv. Opt. Mater. 5(1), 1600606 (2017).
[Crossref]

Appl. Phys. Lett. (1)

B. Cheng, D. Liu, J. Wu, and H. Li, “Frequency scanning non-diffraction beam by metasurface,” Appl. Phys. Lett. 110(3), 031108 (2017).
[Crossref]

Appl. Sci. Res. (1)

T. B. A. Senior, “Impedance boundary conditions for imperfectly conducting surfaces,” Appl. Sci. Res. 8(1), 418–436 (1960).
[Crossref]

Laser Photonics Rev. (1)

L. Jing, Z. Wang, R. Maturi, B. Zheng, H. Wang, Y. Yang, L. Shen, R. Hao, W. Yin, E. Li, and H. Chen, “Gradient chiral metamirrors for spin-selective anomalous reflection,” Laser Photonics Rev. 11(6), 1700115 (2017).
[Crossref]

Light Sci. Appl. (1)

Y. H. Chen, L. Huang, L. Gan, and Z. Y. Li, “Wavefront shaping of infrared light through a subwavelength hole,” Light Sci. Appl. 1(8), e26 (2012).
[Crossref]

Nano Lett. (3)

Y. Montelongo, J. O. Tenorio-Pearl, W. I. Milne, and T. D. Wilkinson, “Polarization switchable diffraction based on subwavelength plasmonic nanoantennas,” Nano Lett. 14(1), 294–298 (2014).
[Crossref] [PubMed]

W. T. Chen, K. Y. Yang, C. M. Wang, Y. W. Huang, G. Sun, I. D. Chiang, C. Y. Liao, W. L. Hsu, H. T. Lin, S. Sun, L. Zhou, A. Q. Liu, and D. P. Tsai, “High-efficiency broadband meta-hologram with polarization-controlled dual images,” Nano Lett. 14(1), 225–230 (2014).
[Crossref] [PubMed]

S. Sun, K. Y. Yang, C. M. Wang, T. K. Juan, W. T. Chen, C. Y. Liao, Q. He, S. Xiao, W. T. Kung, G. Y. Guo, L. Zhou, and D. P. Tsai, “High-efficiency broadband anomalous reflection by gradient meta-surfaces,” Nano Lett. 12(12), 6223–6229 (2012).
[Crossref] [PubMed]

Nat. Commun. (2)

L. Li, T. Jun Cui, W. Ji, S. Liu, J. Ding, X. Wan, Y. Bo Li, M. Jiang, C. W. Qiu, and S. Zhang, “Electromagnetic reprogrammable coding-metasurface holograms,” Nat. Commun. 8(1), 197 (2017).
[Crossref] [PubMed]

X. Ni, A. V. Kildishev, and V. M. Shalaev, “Metasurface holograms for visible light,” Nat. Commun. 4(1), 2807 (2013).
[Crossref]

Nat. Mater. (1)

H. Chen, C. T. Chan, and P. Sheng, “Transformation optics and metamaterials,” Nat. Mater. 9(5), 387–396 (2010).
[Crossref] [PubMed]

Nature (1)

D. Gabor, “A new microscopic principle,” Nature 161(4098), 777–778 (1948).
[Crossref] [PubMed]

Opt. Express (1)

Optica (1)

Phys. Rev. Appl. (1)

Y. Ra’di, C. R. Simovski, and S. A. Tretyakov, “Thin perfect absorbers for electromagnetic waves: theory, design, and realizations,” Phys. Rev. Appl. 3(3), 037001 (2015).
[Crossref]

Phys. Rev. E Stat. Nonlin. Soft Matter Phys. (1)

H. Chen, L. Ran, J. Huangfu, X. Zhang, K. Chen, T. M. Grzegorczyk, and J. Au Kong, “Left-handed materials composed of only S-shaped resonators,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(5), 057605 (2004).
[Crossref] [PubMed]

Phys. Rev. Lett. (4)

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000).
[Crossref] [PubMed]

Y. Ra’di, D. L. Sounas, and A. Alù, “Metagratings: beyond the limits of graded metasurfaces for wave front control,” Phys. Rev. Lett. 119(6), 067404 (2017).
[Crossref] [PubMed]

G. Gok and A. Grbic, “Tailoring the phase and power flow of electromagnetic fields,” Phys. Rev. Lett. 111(23), 233904 (2013).
[Crossref] [PubMed]

Z. Wang, K. Yao, M. Chen, H. Chen, and Y. Liu, “Manipulating Smith-Purcell emission with Babinet metasurfaces,” Phys. Rev. Lett. 117(15), 157401 (2016).
[Crossref] [PubMed]

Phys. Rev. X (1)

A. M. H. Wong and G. V. Eleftheriades, “Perfect anomalous reflection with a bipartite huygens’ metasurface,” Phys. Rev. X 8(1), 011036 (2018).
[Crossref]

Proc. IEEE (1)

T. A. Lam, D. C. Vier, J. A. Nielsen, C. G. Parazzoli, and M. H. Tanielian, “Steering phased array antenna beams to the horizon using a buckyball NIM lens,” Proc. IEEE 99(10), 1755–1767 (2011).
[Crossref]

Sci. Rep. (2)

Y. Yang, H. Wang, F. Yu, Z. Xu, and H. Chen, “A metasurface carpet cloak for electromagnetic, acoustic and water waves,” Sci. Rep. 6(1), 20219 (2016).
[Crossref] [PubMed]

D. Liu, B. Cheng, X. Pan, and L. Qiao, “A horn-fed frequency scanning holographic antenna based on generalized law of reflection,” Sci. Rep. 6(1), 31338 (2016).
[Crossref] [PubMed]

Science (11)

M. Ozaki, J. Kato, and S. Kawata, “Surface-plasmon holography with white-light illumination,” Science 332(6026), 218–220 (2011).
[Crossref] [PubMed]

N. K. Grady, J. E. Heyes, D. R. Chowdhury, Y. Zeng, M. T. Reiten, A. K. Azad, A. J. Taylor, D. A. R. Dalvit, and H. T. Chen, “Terahertz metamaterials for linear polarization conversion and anomalous refraction,” Science 340(6138), 1304–1307 (2013).
[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]

J. Hunt, T. Driscoll, A. Mrozack, G. Lipworth, M. Reynolds, D. Brady, and D. R. Smith, “Metamaterial apertures for computational imaging,” Science 339(6117), 310–313 (2013).
[Crossref] [PubMed]

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

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314(5801), 977–980 (2006).
[Crossref] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[Crossref] [PubMed]

U. Leonhardt, “Optical conformal mapping,” Science 312(5781), 1777–1780 (2006).
[Crossref] [PubMed]

D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, “Metamaterials and negative refractive index,” Science 305(5685), 788–792 (2004).
[Crossref] [PubMed]

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).
[Crossref] [PubMed]

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Figures (6)

Fig. 1
Fig. 1 The schematic of the curved beam generated from the holographic metasurface in xoz plane. (a) The schematic of reflective horn-fed metasurfaces generating the curved beams. (b) Local enlarged diagram of the surface.
Fig. 2
Fig. 2 The schematic of the generation of 2D Bessel Beam.
Fig. 3
Fig. 3 The theoretical simulation results of the curved beams generated from the metasurface. (a) The normalized amplitude distributions of electric fields in x direction at xoz plane, which is the curved beams. (b) The normalized amplitude distributions of electric fields in x direction at z = 50, 75, 100, 125, 150, 175 and 200mm planes, which are the curved beams.
Fig. 4
Fig. 4 The full-wave simulation results of the curved beams at the frequencies from 12 to 18GHz. From (a) and (g), upper parts of the figures show the radiated beams from 12 to 18GHz in xoz plane, respectively, and the bright spots appearing in lower parts of the figures represent the beams at the different layers parallel to xoy plane.
Fig. 5
Fig. 5 The experimental measurement of the curved beams at the frequencies of 12, 15 and 18GHz. From (a) and (c), upper parts of the figures show the radiated beams in xoz plane, respectivley, and the bright spots appearing in lower parts of the figures represent the beams at the different layers parallel to xoy plane. (d) and (e) show the normalized amplitude distributions of electric fields of the curved beams in a plane perpendicular to tangent line of the curve at height of z = 100mm and 150mm, respectively, where xl and yl denote the local coordinates.
Fig. 6
Fig. 6 The positions of the brightest points of the curved beams in different planes. (a) The brightest points of the curved beam, where the blue circles and red stars denote the position of numerical simulation and experimental measurement, respectively, and the black line is the designed trajectory of the curve. (b) The measurement plane of the curved beams at xoz plane.

Equations (6)

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

Y inp ( x,y )=j[ X+MRe( Ψ rad Ψ ref * ) ]=j[ X+Mcos( k 0 r+φ ) ].
φ mid (n)= φ mid (n1)Δ φ mid (n),
φ rad (n,m)= φ mid (nd,y= y mid )+ k 0 | md y mid |sinβ.
J ¯ ( r ¯ ')= e ^ m=0 M1 n=0 N1 J mn e i φ mn δ(x'ndx)δ(y'mdy)δ(z') ,
E ¯ s ( r ¯ )=iωμ s' G ¯ ¯ ( r ¯ , r ¯ ') J ¯ ( r ¯ ')d r ¯ '× s' K ¯ ( r ¯ ')g ( r ¯ , r ¯ ')d r ¯ ',
n ^ ×( n ^ × E ¯ )=Z( r ¯ ')( n ^ × H ¯ ),

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