Abstract

Here we present a strategy for designing wave plates utilizing resonances of subwavelength apertures in metallic films. Specifically, we show that it is possible to tune the geometry in a periodic array of cross-shaped apertures in a silver film to produce a quarter-wave plate at a particular wavelength in the near-infrared. This is achieved by introducing an asymmetry into the lengths of the arms of the crosses.

© 2012 Optical Society of America

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2011 (5)

2010 (3)

L. Lin, X. M. Goh, L. P. McGuinness, and A. Roberts, Nano Lett. 10, 1936 (2010).
[CrossRef]

E. Ogut and K. Sendur, Appl. Phys. Lett. 96, 141104(2010).
[CrossRef]

M. R. Shcherbakov, M. I. Dobynde, T. V. Dolgova, D. P. Tsai, and A. A. Fedyanin, Phys. Rev. B 82, 193402 (2010).
[CrossRef]

2009 (3)

P. Biagioni, M. Savoini, J.-S. Huang, L. Duo, M. Finazzi, and B. Hecht, Phys. Rev. B 80, 153409 (2009).
[CrossRef]

J. Lee, M. Seo, D. Kim, J. Kang, and Q.-H. Park, Appl. Phys. Lett. 94, 081102 (2009).
[CrossRef]

L. Lin, L. B. Hande, and A. Roberts, Appl. Phys. Lett. 95, 201116 (2009).
[CrossRef]

2008 (2)

2007 (3)

2006 (2)

A. V. Krasavin, A. S. Schwanecke, and N. I. Zheludev, J. Opt. A 8, S98 (2006).
[CrossRef]

M. I. Haftel, C. Schlockermann, and G. Blumberg, Phys. Rev. B 74, 235405 (2006).
[CrossRef]

1998 (1)

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

1972 (1)

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

’t Hooft, G. W.

Adams, M. M.

Albrektsen, O.

Alkemade, P. F. A.

Biagioni, P.

P. Biagioni, M. Savoini, J.-S. Huang, L. Duo, M. Finazzi, and B. Hecht, Phys. Rev. B 80, 153409 (2009).
[CrossRef]

Blumberg, G.

M. I. Haftel, C. Schlockermann, and G. Blumberg, Phys. Rev. B 74, 235405 (2006).
[CrossRef]

Bosman, J.

Bozhevolnyi, S. I.

Chang, Y.-T.

C.-Y. Chen, M.-W. Tsai, T.-H. Chuang, Y.-T. Chang, and S.-C. Lee, Appl. Phys. Lett. 91, 063108 (2007).
[CrossRef]

Chen, C.-Y.

C.-Y. Chen, M.-W. Tsai, T.-H. Chuang, Y.-T. Chang, and S.-C. Lee, Appl. Phys. Lett. 91, 063108 (2007).
[CrossRef]

Chimento, P. F.

Christy, R. W.

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

Chuang, T.-H.

C.-Y. Chen, M.-W. Tsai, T.-H. Chuang, Y.-T. Chang, and S.-C. Lee, Appl. Phys. Lett. 91, 063108 (2007).
[CrossRef]

Collin, S.

Crozier, K. B.

Dadap, J. I.

Davis, T. J.

Della Valle, G.

Dobynde, M. I.

M. R. Shcherbakov, M. I. Dobynde, T. V. Dolgova, D. P. Tsai, and A. A. Fedyanin, Phys. Rev. B 82, 193402 (2010).
[CrossRef]

Dolgova, T. V.

M. R. Shcherbakov, M. I. Dobynde, T. V. Dolgova, D. P. Tsai, and A. A. Fedyanin, Phys. Rev. B 82, 193402 (2010).
[CrossRef]

Drezet, A.

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

Duo, L.

P. Biagioni, M. Savoini, J.-S. Huang, L. Duo, M. Finazzi, and B. Hecht, Phys. Rev. B 80, 153409 (2009).
[CrossRef]

Ebbesen, T.

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

Ebbesen, T. W.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Eliel, E. R.

Fedyanin, A. A.

M. R. Shcherbakov, M. I. Dobynde, T. V. Dolgova, D. P. Tsai, and A. A. Fedyanin, Phys. Rev. B 82, 193402 (2010).
[CrossRef]

Finazzi, M.

P. Biagioni, M. Savoini, J.-S. Huang, L. Duo, M. Finazzi, and B. Hecht, Phys. Rev. B 80, 153409 (2009).
[CrossRef]

Freeman, D.

Genet, C.

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

Ghaemi, H. F.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Goh, X. M.

X. M. Goh, L. Lin, and A. Roberts, J. Opt. Soc. Am. B 28, 547 (2011).
[CrossRef]

L. Lin, X. M. Goh, L. P. McGuinness, and A. Roberts, Nano Lett. 10, 1936 (2010).
[CrossRef]

Haftel, M. I.

Hande, L. B.

L. Lin, L. B. Hande, and A. Roberts, Appl. Phys. Lett. 95, 201116 (2009).
[CrossRef]

Hecht, B.

P. Biagioni, M. Savoini, J.-S. Huang, L. Duo, M. Finazzi, and B. Hecht, Phys. Rev. B 80, 153409 (2009).
[CrossRef]

Huang, J.-S.

P. Biagioni, M. Savoini, J.-S. Huang, L. Duo, M. Finazzi, and B. Hecht, Phys. Rev. B 80, 153409 (2009).
[CrossRef]

Jamieson, D. N.

Johnson, P. B.

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

Kang, J.

J. Lee, M. Seo, D. Kim, J. Kang, and Q.-H. Park, Appl. Phys. Lett. 94, 081102 (2009).
[CrossRef]

Khoo, E. H.

Kim, D.

J. Lee, M. Seo, D. Kim, J. Kang, and Q.-H. Park, Appl. Phys. Lett. 94, 081102 (2009).
[CrossRef]

Krasavin, A. V.

A. V. Krasavin, A. S. Schwanecke, and N. I. Zheludev, J. Opt. A 8, S98 (2006).
[CrossRef]

Kuzmin, N. V.

Lee, J.

J. Lee, M. Seo, D. Kim, J. Kang, and Q.-H. Park, Appl. Phys. Lett. 94, 081102 (2009).
[CrossRef]

Lee, S.-C.

C.-Y. Chen, M.-W. Tsai, T.-H. Chuang, Y.-T. Chang, and S.-C. Lee, Appl. Phys. Lett. 91, 063108 (2007).
[CrossRef]

Lezec, H. J.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Li, E. P.

Lin, L.

X. M. Goh, L. Lin, and A. Roberts, J. Opt. Soc. Am. B 28, 547 (2011).
[CrossRef]

L. Lin, X. M. Goh, L. P. McGuinness, and A. Roberts, Nano Lett. 10, 1936 (2010).
[CrossRef]

L. Lin, L. B. Hande, and A. Roberts, Appl. Phys. Lett. 95, 201116 (2009).
[CrossRef]

Luther-Davies, B.

McGuinness, L. P.

L. Lin, X. M. Goh, L. P. McGuinness, and A. Roberts, Nano Lett. 10, 1936 (2010).
[CrossRef]

Milicevic, M.

Nielsen, M. G.

Ogut, E.

E. Ogut and K. Sendur, Appl. Phys. Lett. 96, 141104(2010).
[CrossRef]

Orbons, S. M.

Osgood, R. M.

Panoiu, N. C.

Pardo, F.

Park, Q.-H.

J. Lee, M. Seo, D. Kim, J. Kang, and Q.-H. Park, Appl. Phys. Lett. 94, 081102 (2009).
[CrossRef]

Pelouard, J. L.

Pors, A.

Roberts, A.

Roth, R. M.

Savoini, M.

P. Biagioni, M. Savoini, J.-S. Huang, L. Duo, M. Finazzi, and B. Hecht, Phys. Rev. B 80, 153409 (2009).
[CrossRef]

Schlockermann, C.

Schwanecke, A. S.

A. V. Krasavin, A. S. Schwanecke, and N. I. Zheludev, J. Opt. A 8, S98 (2006).
[CrossRef]

Sendur, K.

E. Ogut and K. Sendur, Appl. Phys. Lett. 96, 141104(2010).
[CrossRef]

Seo, M.

J. Lee, M. Seo, D. Kim, J. Kang, and Q.-H. Park, Appl. Phys. Lett. 94, 081102 (2009).
[CrossRef]

Shcherbakov, M. R.

M. R. Shcherbakov, M. I. Dobynde, T. V. Dolgova, D. P. Tsai, and A. A. Fedyanin, Phys. Rev. B 82, 193402 (2010).
[CrossRef]

Thio, T.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Tsai, D. P.

M. R. Shcherbakov, M. I. Dobynde, T. V. Dolgova, D. P. Tsai, and A. A. Fedyanin, Phys. Rev. B 82, 193402 (2010).
[CrossRef]

Tsai, M.-W.

C.-Y. Chen, M.-W. Tsai, T.-H. Chuang, Y.-T. Chang, and S.-C. Lee, Appl. Phys. Lett. 91, 063108 (2007).
[CrossRef]

Willatzen, M.

Wolff, P. A.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Yang, J.

J. Yang and J. Zhang, Plasmonics 6, 251 (2011).
[CrossRef]

Zhang, J.

J. Yang and J. Zhang, Plasmonics 6, 251 (2011).
[CrossRef]

Zheludev, N. I.

A. V. Krasavin, A. S. Schwanecke, and N. I. Zheludev, J. Opt. A 8, S98 (2006).
[CrossRef]

Appl. Phys. Lett. (4)

J. Lee, M. Seo, D. Kim, J. Kang, and Q.-H. Park, Appl. Phys. Lett. 94, 081102 (2009).
[CrossRef]

E. Ogut and K. Sendur, Appl. Phys. Lett. 96, 141104(2010).
[CrossRef]

C.-Y. Chen, M.-W. Tsai, T.-H. Chuang, Y.-T. Chang, and S.-C. Lee, Appl. Phys. Lett. 91, 063108 (2007).
[CrossRef]

L. Lin, L. B. Hande, and A. Roberts, Appl. Phys. Lett. 95, 201116 (2009).
[CrossRef]

J. Opt. A (1)

A. V. Krasavin, A. S. Schwanecke, and N. I. Zheludev, J. Opt. A 8, S98 (2006).
[CrossRef]

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

Nano Lett. (1)

L. Lin, X. M. Goh, L. P. McGuinness, and A. Roberts, Nano Lett. 10, 1936 (2010).
[CrossRef]

Nature (1)

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Opt. Express (2)

Opt. Lett. (4)

Phys. Rev. B (4)

M. R. Shcherbakov, M. I. Dobynde, T. V. Dolgova, D. P. Tsai, and A. A. Fedyanin, Phys. Rev. B 82, 193402 (2010).
[CrossRef]

P. Biagioni, M. Savoini, J.-S. Huang, L. Duo, M. Finazzi, and B. Hecht, Phys. Rev. B 80, 153409 (2009).
[CrossRef]

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

M. I. Haftel, C. Schlockermann, and G. Blumberg, Phys. Rev. B 74, 235405 (2006).
[CrossRef]

Phys. Rev. Lett. (1)

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

Plasmonics (1)

J. Yang and J. Zhang, Plasmonics 6, 251 (2011).
[CrossRef]

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Figures (5)

Fig. 1.
Fig. 1.

Array of asymmetric cross-shaped apertures in a metallic film. Throughout this work, no substrate is assumed, the periodicity, d, is fixed at 400 nm, the widths of the cross arms are 40 nm, the length of the vertical cross arm, ly, is 210 nm, and the metal thickness, h, is also fixed at 140 nm. The length of the horizontal cross arm, lx, is varied. The illumination is a normally incident plane wave.

Fig. 2.
Fig. 2.

Transmission through an array of rectangular slots in an Ag film of thickness 140 nm for a normally incident plane wave. The width of the slots is fixed at 40 nm and no substrate is assumed. (a) Transmission (normalized to incident power). (b) Phase of the transmitted wave a distance 750 nm below the lower surface of the metal (relative to that in the absence of the metal film).

Fig. 3.
Fig. 3.

Transmission plotted as a function of wavelength for structures with ly=210nm, w=40nm, h=140nm, and with lx varying from 180 to 250 nm for three different incident linear polarization states. (a) Electric field parallel to the x axis (a), at 45° to the x axis (b), and at 90° to the x axis (c). Insets show the polarization of the incident field and the magnitude of the electric field inside the aperture at resonance.

Fig. 4.
Fig. 4.

(a) Retardation plotted as a function of wavelength for structures with ly=210nm, w=40nm, h=140nm, and with lx varying from 170 nm to 250nm. (b) Retardation at the wavelength where the transmission of linearly polarized light through the structure is independent of polarization angle, plotted as a function of lx. The fit given by equation (1) is also shown.

Fig. 5.
Fig. 5.

Stokes parameters describing the state of the transmitted plane wave when cross arrays with ly=210nm and (a) lx=193nm and (b) lx=229 are illuminated with a normally incident, linearly polarized plane wave with angle of polarization θ with respect to the x axis and a wavelength of (a) 710 nm and (b) 760 nm.

Equations (1)

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β(x)=2arctan[(x0)/a],

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