Abstract

We report the design of a holey plasmonic vortex lens (PVL) structure able to couple circularly polarized impinging light to a plasmonic vortex in the form of the fundamental TM mode of a metal–insulator–metal plasmonic waveguide. The field transmitted through the hole milled at the center of the second metal layer of the structure is characterized by a well-defined spiral harmonic, entirely determined by the spin of impinging light and by the chirality of the PVL structure. Scattering finite elements simulations are presented for single layer standard PVLs and for bilayer ones, comparing the spiral spectra of the transmitted field and the efficiencies of the architectures.

© 2014 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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2013 (4)

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, Science 340, 1545 (2013).
[CrossRef]

H. Yu, H. Zhang, Y. Wang, S. Han, H. Yang, X. Xu, Z. Wang, V. Petrov, and J. Wang, Sci. Rep. 3, 3191 (2013).

Y. Gorodetski, A. Drezet, C. Genet, and T. W. Ebbesen, Phys. Rev. Lett. 110, 203906 (2013).
[CrossRef]

C. Ciracì, Y. Urzhumov, and D. Smith, Opt. Express 21, 9397 (2013).
[CrossRef]

2012 (5)

2011 (2)

J. Miao, Y. Wang, C. Guo, Y. Tian, S. Guo, Q. Liu, and Z. Zhou, Plasmonics 6, 235 (2011).
[CrossRef]

F. Tamburini, B. Thidé, G. Molina-Terriza, and G. Anzolin, Nat. Phys. 7, 195 (2011).
[CrossRef]

2010 (3)

F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, Rev. Mod. Phys. 82, 729 (2010).
[CrossRef]

H. Kim, J. Park, S. Cho, S. Lee, M. Kang, and B. Lee, Nano Lett. 10, 529 (2010).
[CrossRef]

T. Ando, N. Matsumoto, Y. Ohtake, Y. Takiguchi, and T. Inoue, J. Opt. Soc. Am. A 27, 2602 (2010).
[CrossRef]

2009 (1)

Y. Gorodetski, N. Shitrit, I. Bretner, V. Kleiner, and E. Hasman, Nano Lett. 9, 3016 (2009).
[CrossRef]

2008 (1)

K. Bliokh, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 030404 (2008).
[CrossRef]

2006 (1)

2005 (2)

2003 (1)

A. Forrester, J. Courtial, and M. J. Padgett, J. Mod. Opt. 50, 1533 (2003).
[CrossRef]

Ando, T.

Anzolin, G.

F. Tamburini, B. Thidé, G. Molina-Terriza, and G. Anzolin, Nat. Phys. 7, 195 (2011).
[CrossRef]

Bachman, K. A.

K. A. Bachman, J. J. Peltzer, P. D. Flammer, T. E. Furtak, R. T. Collins, and R. E. Hollingsworth, Optics Express 20, 1308 (2012).
[CrossRef]

Bernet, S.

Bliokh, K.

K. Bliokh, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 030404 (2008).
[CrossRef]

Bozinovic, N.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, Science 340, 1545 (2013).
[CrossRef]

Bretner, I.

Y. Gorodetski, N. Shitrit, I. Bretner, V. Kleiner, and E. Hasman, Nano Lett. 9, 3016 (2009).
[CrossRef]

Carrasco, S.

Cho, S.

H. Kim, J. Park, S. Cho, S. Lee, M. Kang, and B. Lee, Nano Lett. 10, 529 (2010).
[CrossRef]

Cho, S.-W.

Ciracì, C.

Collins, R. T.

K. A. Bachman, J. J. Peltzer, P. D. Flammer, T. E. Furtak, R. T. Collins, and R. E. Hollingsworth, Optics Express 20, 1308 (2012).
[CrossRef]

Courtial, J.

A. Forrester, J. Courtial, and M. J. Padgett, J. Mod. Opt. 50, 1533 (2003).
[CrossRef]

Drezet, A.

Y. Gorodetski, A. Drezet, C. Genet, and T. W. Ebbesen, Phys. Rev. Lett. 110, 203906 (2013).
[CrossRef]

Ebbesen, T. W.

Y. Gorodetski, A. Drezet, C. Genet, and T. W. Ebbesen, Phys. Rev. Lett. 110, 203906 (2013).
[CrossRef]

F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, Rev. Mod. Phys. 82, 729 (2010).
[CrossRef]

Fang, H.

Flammer, P. D.

K. A. Bachman, J. J. Peltzer, P. D. Flammer, T. E. Furtak, R. T. Collins, and R. E. Hollingsworth, Optics Express 20, 1308 (2012).
[CrossRef]

Forrester, A.

A. Forrester, J. Courtial, and M. J. Padgett, J. Mod. Opt. 50, 1533 (2003).
[CrossRef]

Fürhapter, S.

Furtak, T. E.

K. A. Bachman, J. J. Peltzer, P. D. Flammer, T. E. Furtak, R. T. Collins, and R. E. Hollingsworth, Optics Express 20, 1308 (2012).
[CrossRef]

Garcia-Vidal, F. J.

F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, Rev. Mod. Phys. 82, 729 (2010).
[CrossRef]

Garoli, D.

Genet, C.

Y. Gorodetski, A. Drezet, C. Genet, and T. W. Ebbesen, Phys. Rev. Lett. 110, 203906 (2013).
[CrossRef]

Gorodetski, Y.

Y. Gorodetski, A. Drezet, C. Genet, and T. W. Ebbesen, Phys. Rev. Lett. 110, 203906 (2013).
[CrossRef]

Y. Gorodetski, N. Shitrit, I. Bretner, V. Kleiner, and E. Hasman, Nano Lett. 9, 3016 (2009).
[CrossRef]

K. Bliokh, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 030404 (2008).
[CrossRef]

Guo, C.

J. Miao, Y. Wang, C. Guo, Y. Tian, S. Guo, Q. Liu, and Z. Zhou, Plasmonics 6, 235 (2011).
[CrossRef]

Guo, S.

J. Miao, Y. Wang, C. Guo, Y. Tian, S. Guo, Q. Liu, and Z. Zhou, Plasmonics 6, 235 (2011).
[CrossRef]

Han, S.

H. Yu, H. Zhang, Y. Wang, S. Han, H. Yang, X. Xu, Z. Wang, V. Petrov, and J. Wang, Sci. Rep. 3, 3191 (2013).

Hasman, E.

Y. Gorodetski, N. Shitrit, I. Bretner, V. Kleiner, and E. Hasman, Nano Lett. 9, 3016 (2009).
[CrossRef]

K. Bliokh, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 030404 (2008).
[CrossRef]

Hollingsworth, R. E.

K. A. Bachman, J. J. Peltzer, P. D. Flammer, T. E. Furtak, R. T. Collins, and R. E. Hollingsworth, Optics Express 20, 1308 (2012).
[CrossRef]

Hu, Z. J.

Huang, H.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, Science 340, 1545 (2013).
[CrossRef]

Inoue, T.

Jesacher, A.

Kang, M.

H. Kim, J. Park, S. Cho, S. Lee, M. Kang, and B. Lee, Nano Lett. 10, 529 (2010).
[CrossRef]

Kim, H.

S.-W. Cho, J. Park, S.-Y. Lee, H. Kim, and B. Lee, Opt. Express 20, 10083 (2012).
[CrossRef]

H. Kim, J. Park, S. Cho, S. Lee, M. Kang, and B. Lee, Nano Lett. 10, 529 (2010).
[CrossRef]

Kleiner, V.

Y. Gorodetski, N. Shitrit, I. Bretner, V. Kleiner, and E. Hasman, Nano Lett. 9, 3016 (2009).
[CrossRef]

K. Bliokh, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 030404 (2008).
[CrossRef]

Kristensen, P.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, Science 340, 1545 (2013).
[CrossRef]

Kuipers, L.

F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, Rev. Mod. Phys. 82, 729 (2010).
[CrossRef]

Lee, B.

S.-W. Cho, J. Park, S.-Y. Lee, H. Kim, and B. Lee, Opt. Express 20, 10083 (2012).
[CrossRef]

H. Kim, J. Park, S. Cho, S. Lee, M. Kang, and B. Lee, Nano Lett. 10, 529 (2010).
[CrossRef]

Lee, S.

H. Kim, J. Park, S. Cho, S. Lee, M. Kang, and B. Lee, Nano Lett. 10, 529 (2010).
[CrossRef]

Lee, S.-Y.

Liu, Q.

J. Miao, Y. Wang, C. Guo, Y. Tian, S. Guo, Q. Liu, and Z. Zhou, Plasmonics 6, 235 (2011).
[CrossRef]

Maier, S. A.

S. A. Maier, Plasmonics: Fundamentals and Applications (Springer, 2007).

Mari, E.

Martin-Moreno, L.

F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, Rev. Mod. Phys. 82, 729 (2010).
[CrossRef]

Matsumoto, N.

Miao, J.

J. Miao, Y. Wang, C. Guo, Y. Tian, S. Guo, Q. Liu, and Z. Zhou, Plasmonics 6, 235 (2011).
[CrossRef]

Min, C. J.

Miyanishi, S.

Molina-Terriza, G.

F. Tamburini, B. Thidé, G. Molina-Terriza, and G. Anzolin, Nat. Phys. 7, 195 (2011).
[CrossRef]

Ohno, T.

Ohtake, Y.

Ongarello, T.

Padgett, M. J.

A. Forrester, J. Courtial, and M. J. Padgett, J. Mod. Opt. 50, 1533 (2003).
[CrossRef]

Parisi, G.

Park, J.

S.-W. Cho, J. Park, S.-Y. Lee, H. Kim, and B. Lee, Opt. Express 20, 10083 (2012).
[CrossRef]

H. Kim, J. Park, S. Cho, S. Lee, M. Kang, and B. Lee, Nano Lett. 10, 529 (2010).
[CrossRef]

Peltzer, J. J.

K. A. Bachman, J. J. Peltzer, P. D. Flammer, T. E. Furtak, R. T. Collins, and R. E. Hollingsworth, Optics Express 20, 1308 (2012).
[CrossRef]

Petrov, V.

H. Yu, H. Zhang, Y. Wang, S. Han, H. Yang, X. Xu, Z. Wang, V. Petrov, and J. Wang, Sci. Rep. 3, 3191 (2013).

Ramachandran, S.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, Science 340, 1545 (2013).
[CrossRef]

Ren, Y.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, Science 340, 1545 (2013).
[CrossRef]

Ritsch-Marte, M.

Romanato, F.

Shen, Z.

Shitrit, N.

Y. Gorodetski, N. Shitrit, I. Bretner, V. Kleiner, and E. Hasman, Nano Lett. 9, 3016 (2009).
[CrossRef]

Smith, D.

Takiguchi, Y.

Tamburini, F.

P. Zilio, E. Mari, G. Parisi, F. Tamburini, and F. Romanato, Opt. Lett. 37, 3234 (2012).
[CrossRef]

F. Tamburini, B. Thidé, G. Molina-Terriza, and G. Anzolin, Nat. Phys. 7, 195 (2011).
[CrossRef]

Thidé, B.

F. Tamburini, B. Thidé, G. Molina-Terriza, and G. Anzolin, Nat. Phys. 7, 195 (2011).
[CrossRef]

Tian, Y.

J. Miao, Y. Wang, C. Guo, Y. Tian, S. Guo, Q. Liu, and Z. Zhou, Plasmonics 6, 235 (2011).
[CrossRef]

Torner, L.

Torres, J.

Tur, M.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, Science 340, 1545 (2013).
[CrossRef]

Urzhumov, Y.

Wang, J.

H. Yu, H. Zhang, Y. Wang, S. Han, H. Yang, X. Xu, Z. Wang, V. Petrov, and J. Wang, Sci. Rep. 3, 3191 (2013).

Wang, Y.

H. Yu, H. Zhang, Y. Wang, S. Han, H. Yang, X. Xu, Z. Wang, V. Petrov, and J. Wang, Sci. Rep. 3, 3191 (2013).

J. Miao, Y. Wang, C. Guo, Y. Tian, S. Guo, Q. Liu, and Z. Zhou, Plasmonics 6, 235 (2011).
[CrossRef]

Wang, Z.

H. Yu, H. Zhang, Y. Wang, S. Han, H. Yang, X. Xu, Z. Wang, V. Petrov, and J. Wang, Sci. Rep. 3, 3191 (2013).

Willner, A. E.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, Science 340, 1545 (2013).
[CrossRef]

Xu, X.

H. Yu, H. Zhang, Y. Wang, S. Han, H. Yang, X. Xu, Z. Wang, V. Petrov, and J. Wang, Sci. Rep. 3, 3191 (2013).

Yang, H.

H. Yu, H. Zhang, Y. Wang, S. Han, H. Yang, X. Xu, Z. Wang, V. Petrov, and J. Wang, Sci. Rep. 3, 3191 (2013).

Yu, H.

H. Yu, H. Zhang, Y. Wang, S. Han, H. Yang, X. Xu, Z. Wang, V. Petrov, and J. Wang, Sci. Rep. 3, 3191 (2013).

Yuan, G. H.

Yuan, X.-C.

Yue, Y.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, Science 340, 1545 (2013).
[CrossRef]

Zhang, H.

H. Yu, H. Zhang, Y. Wang, S. Han, H. Yang, X. Xu, Z. Wang, V. Petrov, and J. Wang, Sci. Rep. 3, 3191 (2013).

Zhou, Z.

J. Miao, Y. Wang, C. Guo, Y. Tian, S. Guo, Q. Liu, and Z. Zhou, Plasmonics 6, 235 (2011).
[CrossRef]

Zilio, P.

J. Mod. Opt. (1)

A. Forrester, J. Courtial, and M. J. Padgett, J. Mod. Opt. 50, 1533 (2003).
[CrossRef]

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

Nano Lett. (2)

Y. Gorodetski, N. Shitrit, I. Bretner, V. Kleiner, and E. Hasman, Nano Lett. 9, 3016 (2009).
[CrossRef]

H. Kim, J. Park, S. Cho, S. Lee, M. Kang, and B. Lee, Nano Lett. 10, 529 (2010).
[CrossRef]

Nat. Phys. (1)

F. Tamburini, B. Thidé, G. Molina-Terriza, and G. Anzolin, Nat. Phys. 7, 195 (2011).
[CrossRef]

Opt. Express (5)

Opt. Lett. (3)

Optics Express (1)

K. A. Bachman, J. J. Peltzer, P. D. Flammer, T. E. Furtak, R. T. Collins, and R. E. Hollingsworth, Optics Express 20, 1308 (2012).
[CrossRef]

Phys. Rev. Lett. (2)

Y. Gorodetski, A. Drezet, C. Genet, and T. W. Ebbesen, Phys. Rev. Lett. 110, 203906 (2013).
[CrossRef]

K. Bliokh, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 030404 (2008).
[CrossRef]

Plasmonics (1)

J. Miao, Y. Wang, C. Guo, Y. Tian, S. Guo, Q. Liu, and Z. Zhou, Plasmonics 6, 235 (2011).
[CrossRef]

Rev. Mod. Phys. (1)

F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, Rev. Mod. Phys. 82, 729 (2010).
[CrossRef]

Sci. Rep. (1)

H. Yu, H. Zhang, Y. Wang, S. Han, H. Yang, X. Xu, Z. Wang, V. Petrov, and J. Wang, Sci. Rep. 3, 3191 (2013).

Science (1)

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, Science 340, 1545 (2013).
[CrossRef]

Other (1)

S. A. Maier, Plasmonics: Fundamentals and Applications (Springer, 2007).

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Figures (4)

Fig. 1.
Fig. 1.

(a) Top view and (b) vertical cross section of a single-layer holey PVL; (c) Scheme of the proposed metal-insulator-metal (MIM) PVL. Relative permittivities at λ=780nm are 24.03+1.99i for gold, 2.66 for the dielectric layer, and 2.33 for the glass superstrate. For both PVL architectures the distance from hole center to first groove, r0, is twice the grating period. The considered hole radii are different depending on the m value of the PVLs, to maximize the transmittance. They are 350 nm for the m=1 PVLs and 450 nm for m=2. Insets in (b) and (c) are the |E| field profiles of the plasmonic modes excited in the two PVLs architectures. (d) Reflectance map of a periodic 2D MIM grating as in inset of (c) illuminated by TM polarized light as a function of upper metal layer thickness (h) and slit width-to-period ratio (w/d).

Fig. 2.
Fig. 2.

3D FEM simulation of single-layer holey PVL with m=2 and N=3. Impinging light is circularly polarized with spin s=1. (a) |E| field in the x=0 cross section. (b) Norm of the E field component parallel to the xy plane in a horizontal circular cross section with diameter 6 μm, located 800 nm below the PVL, and marked with the green dashed line in (a). (c) Calculated spiral spectrum of the Ex field.

Fig. 3.
Fig. 3.

MIM-PVL simulations. (a) |E| field in the x=0 cross section for a PVL with m=2, N=3. Geometrical parameters are as in Fig. 1(c). h and w/d are those of point (1) in Fig. 1(d). (b–d) Three MIM-PVLs are considered with the reported m and N values and with h and w/d corresponding to points (1) and (2) in Fig. 1(c). Above: |E| field in 6 μm diameter horizontal cross sections located 800 nm below the hole [green dashed line in (a)] and below: zoom of the arg(Ex) fields. (e) Calculated spiral spectra of the Ex fields; (f) difference between the calculated spiral spectra and the ideally expected ones.

Fig. 4.
Fig. 4.

2.5D FEM simulation of MIM Bull’s eyes with parameters corresponding to points (1) and (2) in Fig. 3(d), and of a single-layer Bull’s eye with parameters as in Fig. 1(b). The plotted quantity is the power flow transmitted through the hole normalized to the power flow directly incident on the hole.

Equations (3)

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

rm(ϕ)=r0+m·ϕ/βSPP.
jPV=m+li+si,
lf=jPVsgn(jPV)=m+li+sisgn(m+li+si).

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