Abstract

We demonstrate that a pair of perpendicular electrical dipolar scatterers resonating at different frequencies can be used as a metamaterial unit cell to construct a nanometer-thin retarder in reflection, designing nanocross and nanobrick plasmonic configurations to function as reflecting quarter-wave plates at 1520 and 770nm, respectively. The design is corroborated experimentally with a monolayer of gold nanobricks, transforming linearly polarized incident radiation into circularly polarized radiation at 780nm.

© 2011 Optical Society of America

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2010

A. B. Evlyukhin, S. I. Bozhevolnyi, A. Pors, M. G. Nielsen, I. P. Radko, M. Willatzen, and O. Albrektsen, Nano Lett. 10, 4571 (2010).
[CrossRef] [PubMed]

2009

S.-Y. Hsu, K.-L. Lee, E.-H. Lin, M.-C. Lee, and P.-K. Wei, Appl. Phys. Lett. 95, 013105 (2009).
[CrossRef]

E. Plum, X.-X. Liu, V. A. Fedotov, Y. Chen, D. P. Tsai, and N. I. Zheludev, Phys. Rev. Lett. 102, 113902 (2009).
[CrossRef] [PubMed]

2008

M. Pelton, J. Aizpurua, and G. Bryant, Laser Photon. Rev. 2, 136 (2008).
[CrossRef]

N. Liu, S. Kaiser, and H. Giessen, Adv. Mater. 20, 4521 (2008).
[CrossRef]

A. Drezet, C. Genet, and T. W. Ebbesen, Phys. Rev. Lett. 101, 043902 (2008).
[CrossRef] [PubMed]

S. H. Yang, M. L. Cooper, P. R. Bandaru, and S. Mookherjea, Opt. Express 16, 8306 (2008).
[CrossRef] [PubMed]

2006

2003

G. F. Brand, Am. J. Phys. 71, 452 (2003).
[CrossRef]

1999

1995

1990

1972

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370(1972).
[CrossRef]

Aizpurua, J.

M. Pelton, J. Aizpurua, and G. Bryant, Laser Photon. Rev. 2, 136 (2008).
[CrossRef]

Albrektsen, O.

A. B. Evlyukhin, S. I. Bozhevolnyi, A. Pors, M. G. Nielsen, I. P. Radko, M. Willatzen, and O. Albrektsen, Nano Lett. 10, 4571 (2010).
[CrossRef] [PubMed]

Bandaru, P. R.

Bozhevolnyi, S. I.

A. B. Evlyukhin, S. I. Bozhevolnyi, A. Pors, M. G. Nielsen, I. P. Radko, M. Willatzen, and O. Albrektsen, Nano Lett. 10, 4571 (2010).
[CrossRef] [PubMed]

Brand, G. F.

G. F. Brand, Am. J. Phys. 71, 452 (2003).
[CrossRef]

Bryant, G.

M. Pelton, J. Aizpurua, and G. Bryant, Laser Photon. Rev. 2, 136 (2008).
[CrossRef]

Cai, W.

W. Cai and V. Shalaev, Optical Metamaterials: Fundamentals and Applications (Springer, 2009).

Cescato, L. H.

Chen, Y.

E. Plum, X.-X. Liu, V. A. Fedotov, Y. Chen, D. P. Tsai, and N. I. Zheludev, Phys. Rev. Lett. 102, 113902 (2009).
[CrossRef] [PubMed]

Christy, R. W.

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370(1972).
[CrossRef]

Cooper, M. L.

Deguzman, P. C.

Drezet, A.

A. Drezet, C. Genet, and T. W. Ebbesen, Phys. Rev. Lett. 101, 043902 (2008).
[CrossRef] [PubMed]

Ebbesen, T. W.

A. Drezet, C. Genet, and T. W. Ebbesen, Phys. Rev. Lett. 101, 043902 (2008).
[CrossRef] [PubMed]

Evlyukhin, A. B.

A. B. Evlyukhin, S. I. Bozhevolnyi, A. Pors, M. G. Nielsen, I. P. Radko, M. Willatzen, and O. Albrektsen, Nano Lett. 10, 4571 (2010).
[CrossRef] [PubMed]

Fainman, Y.

Fedotov, V. A.

E. Plum, X.-X. Liu, V. A. Fedotov, Y. Chen, D. P. Tsai, and N. I. Zheludev, Phys. Rev. Lett. 102, 113902 (2009).
[CrossRef] [PubMed]

Genet, C.

A. Drezet, C. Genet, and T. W. Ebbesen, Phys. Rev. Lett. 101, 043902 (2008).
[CrossRef] [PubMed]

Giessen, H.

N. Liu, S. Kaiser, and H. Giessen, Adv. Mater. 20, 4521 (2008).
[CrossRef]

Gluch, E.

Hsu, S.-Y.

S.-Y. Hsu, K.-L. Lee, E.-H. Lin, M.-C. Lee, and P.-K. Wei, Appl. Phys. Lett. 95, 013105 (2009).
[CrossRef]

Johnson, P. B.

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370(1972).
[CrossRef]

Kaiser, S.

N. Liu, S. Kaiser, and H. Giessen, Adv. Mater. 20, 4521 (2008).
[CrossRef]

Kikuta, H.

Konishi, T.

Lee, K.-L.

S.-Y. Hsu, K.-L. Lee, E.-H. Lin, M.-C. Lee, and P.-K. Wei, Appl. Phys. Lett. 95, 013105 (2009).
[CrossRef]

Lee, M.-C.

S.-Y. Hsu, K.-L. Lee, E.-H. Lin, M.-C. Lee, and P.-K. Wei, Appl. Phys. Lett. 95, 013105 (2009).
[CrossRef]

Lin, E.-H.

S.-Y. Hsu, K.-L. Lee, E.-H. Lin, M.-C. Lee, and P.-K. Wei, Appl. Phys. Lett. 95, 013105 (2009).
[CrossRef]

Liu, N.

N. Liu, S. Kaiser, and H. Giessen, Adv. Mater. 20, 4521 (2008).
[CrossRef]

Liu, X.-X.

E. Plum, X.-X. Liu, V. A. Fedotov, Y. Chen, D. P. Tsai, and N. I. Zheludev, Phys. Rev. Lett. 102, 113902 (2009).
[CrossRef] [PubMed]

Mizutani, A.

Mookherjea, S.

Nielsen, M. G.

A. B. Evlyukhin, S. I. Bozhevolnyi, A. Pors, M. G. Nielsen, I. P. Radko, M. Willatzen, and O. Albrektsen, Nano Lett. 10, 4571 (2010).
[CrossRef] [PubMed]

Nordin, G. P.

Pelton, M.

M. Pelton, J. Aizpurua, and G. Bryant, Laser Photon. Rev. 2, 136 (2008).
[CrossRef]

Plum, E.

E. Plum, X.-X. Liu, V. A. Fedotov, Y. Chen, D. P. Tsai, and N. I. Zheludev, Phys. Rev. Lett. 102, 113902 (2009).
[CrossRef] [PubMed]

Pors, A.

A. B. Evlyukhin, S. I. Bozhevolnyi, A. Pors, M. G. Nielsen, I. P. Radko, M. Willatzen, and O. Albrektsen, Nano Lett. 10, 4571 (2010).
[CrossRef] [PubMed]

Radko, I. P.

A. B. Evlyukhin, S. I. Bozhevolnyi, A. Pors, M. G. Nielsen, I. P. Radko, M. Willatzen, and O. Albrektsen, Nano Lett. 10, 4571 (2010).
[CrossRef] [PubMed]

Shalaev, V.

W. Cai and V. Shalaev, Optical Metamaterials: Fundamentals and Applications (Springer, 2009).

Streibl, N.

Sun, P.-C.

Tsai, D. P.

E. Plum, X.-X. Liu, V. A. Fedotov, Y. Chen, D. P. Tsai, and N. I. Zheludev, Phys. Rev. Lett. 102, 113902 (2009).
[CrossRef] [PubMed]

Tyan, R.-C.

Wei, P.-K.

S.-Y. Hsu, K.-L. Lee, E.-H. Lin, M.-C. Lee, and P.-K. Wei, Appl. Phys. Lett. 95, 013105 (2009).
[CrossRef]

Willatzen, M.

A. B. Evlyukhin, S. I. Bozhevolnyi, A. Pors, M. G. Nielsen, I. P. Radko, M. Willatzen, and O. Albrektsen, Nano Lett. 10, 4571 (2010).
[CrossRef] [PubMed]

Xu, F.

Yang, S. H.

Yu, W.

Zheludev, N. I.

E. Plum, X.-X. Liu, V. A. Fedotov, Y. Chen, D. P. Tsai, and N. I. Zheludev, Phys. Rev. Lett. 102, 113902 (2009).
[CrossRef] [PubMed]

Adv. Mater.

N. Liu, S. Kaiser, and H. Giessen, Adv. Mater. 20, 4521 (2008).
[CrossRef]

Am. J. Phys.

G. F. Brand, Am. J. Phys. 71, 452 (2003).
[CrossRef]

Appl. Opt.

Appl. Phys. Lett.

S.-Y. Hsu, K.-L. Lee, E.-H. Lin, M.-C. Lee, and P.-K. Wei, Appl. Phys. Lett. 95, 013105 (2009).
[CrossRef]

Laser Photon. Rev.

M. Pelton, J. Aizpurua, and G. Bryant, Laser Photon. Rev. 2, 136 (2008).
[CrossRef]

Nano Lett.

A. B. Evlyukhin, S. I. Bozhevolnyi, A. Pors, M. G. Nielsen, I. P. Radko, M. Willatzen, and O. Albrektsen, Nano Lett. 10, 4571 (2010).
[CrossRef] [PubMed]

Opt. Express

Opt. Lett.

Phys. Rev. B

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370(1972).
[CrossRef]

Phys. Rev. Lett.

A. Drezet, C. Genet, and T. W. Ebbesen, Phys. Rev. Lett. 101, 043902 (2008).
[CrossRef] [PubMed]

E. Plum, X.-X. Liu, V. A. Fedotov, Y. Chen, D. P. Tsai, and N. I. Zheludev, Phys. Rev. Lett. 102, 113902 (2009).
[CrossRef] [PubMed]

Other

W. Cai and V. Shalaev, Optical Metamaterials: Fundamentals and Applications (Springer, 2009).

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Figures (3)

Fig. 1
Fig. 1

Schematic representation of (a) nanocross and (b) nanobrick configurations, showing also the polarization of incoming plane wave. Scattering cross sections σ sc of (c) nanocross ( L 2 = 338 nm ) and (d) nanobrick ( L 2 = 140 nm ) for different angles β.

Fig. 2
Fig. 2

The phase difference between the y-component E sc , y and x-component E sc , x of the scattered electric field along the z -axis in the far field for (a) nanocross and (b) nanobrick structures at β = 45 ° . (c) The ratio of | E sc , y | and | E sc , x | along the z -axis in the far field as a function of angle β for the nanocross with L 2 = 338 nm at λ = 1520 nm . (d) The same as in (c) but for the nanobrick with L 2 = 140 nm at λ = 770 nm .

Fig. 3
Fig. 3

(a) Normalized reflection spectra of the array for seven different values of β. The inset shows an electron microscopy image of the fabricated 400 nm -period array consisting of 50 nm high gold bricks with short and long axes of 100 nm and 150 nm , respectively. (b) Normalized reflection from the array as a function of analyzer angle w.r.t. the long axis of the brick for λ = 780 nm . The reflection in (a) and (b) was normalized using the reflectivity from a 300 nm -thick gold film and weighted with the calculated reflectivity by using the gold optical constants [14].

Equations (2)

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α 1 ( 2 ) ( ω ) = A ω 0 2 ( ω 0 ± δ ) 2 ω 2 i Γ ω ,
Δ Φ ( ω 0 ) = ( Φ 2 Φ 1 ) ω = ω 0 = π 2 arctan ( Γ / ( 2 δ ) ) ,

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