Abstract

A simple spiral plasmonic lens is studied both analytically and numerically. Owing to the geometric phase effect, a spiral plasmonic lens focuses the left-hand and right-hand circular polarizations into spatially separated plasmonic fields. Such a spatial multiplexing of the field distribution is utilized in miniature circular polarization analyzer design. A circular polarization extinction ratio better than 100 is obtainable with a device size as small as 4λspp. The spiral plasmonic lens provides efficient plasmonic focusing while it eliminates the requirement of centering the incident beam to the plasmonic lens, making it suitable for full Stokes parameter polarimetric imaging applications.

© 2009 Optical Society of America

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G. M. Lerman, A. Yanai, and U. Levy, Nano Lett. 9, 2129 (2009).
[CrossRef]

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

A. Yanai and U. Levy, Opt. Express 17, 924 (2009).
[CrossRef] [PubMed]

W. Chen and Q. Zhan, Opt. Lett. 34, 722 (2009).
[CrossRef] [PubMed]

2008 (3)

Z. Wu, P. E. Powers, A. M. Sarangan, and Q. Zhan, Opt. Lett. 33, 1653 (2008).
[CrossRef] [PubMed]

A. S. Schwanecke, V. A. Fedotov, V. V. Khardikov, S. L. Prosvirnin, Y. Chen, and N. I. Zheludev, Nano Lett. 8, 2940 (2008).
[CrossRef] [PubMed]

Y. Gorodetski, A. Niv, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 043903 (2008).
[CrossRef] [PubMed]

2007 (3)

W. Chen and Q. Zhan, Proc. SPIE 6450, 64500D (2007).
[CrossRef]

A. Bouhelier, F. Ignatovich, A. Bruyant, C. Huang, G. Colas des Francs, J. C. Weeber, A. Dereux, G. P. Wiederrecht, and L. Novotny, Opt. Lett. 32, 2535 (2007).
[CrossRef] [PubMed]

V. A. Fedotov, A. S. Schwanecke, N. I. Zheludev, V. V. Khardikov, and S. L. Prosvirnin, Nano Lett. 7, 1996 (2007).
[CrossRef]

2006 (4)

2005 (3)

A. V. Krasavin, A. S. Schwanecke, N. I. Zheludev, M. Reichelt, T. Stroucken, S. W. Koch, and E. M. Wright, Appl. Phys. Lett. 86, 201105 (2005).
[CrossRef]

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, Nano Lett. 5, 1726 (2005).
[CrossRef] [PubMed]

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, Nano Lett. 5, 1399 (2005).
[CrossRef] [PubMed]

2001 (1)

1998 (1)

Bouhelier, A.

Bretner, I.

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

Brown, D. E.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, Nano Lett. 5, 1399 (2005).
[CrossRef] [PubMed]

Bruyant, A.

Chen, W.

W. Chen and Q. Zhan, Opt. Lett. 34, 722 (2009).
[CrossRef] [PubMed]

W. Chen and Q. Zhan, Proc. SPIE 6450, 64500D (2007).
[CrossRef]

Chen, Y.

A. S. Schwanecke, V. A. Fedotov, V. V. Khardikov, S. L. Prosvirnin, Y. Chen, and N. I. Zheludev, Nano Lett. 8, 2940 (2008).
[CrossRef] [PubMed]

Colas des Francs, G.

Dereux, A.

Fedotov, V. A.

A. S. Schwanecke, V. A. Fedotov, V. V. Khardikov, S. L. Prosvirnin, Y. Chen, and N. I. Zheludev, Nano Lett. 8, 2940 (2008).
[CrossRef] [PubMed]

V. A. Fedotov, A. S. Schwanecke, N. I. Zheludev, V. V. Khardikov, and S. L. Prosvirnin, Nano Lett. 7, 1996 (2007).
[CrossRef]

Gorodetski, Y.

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

Y. Gorodetski, A. Niv, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 043903 (2008).
[CrossRef] [PubMed]

Hasman, E.

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

Y. Gorodetski, A. Niv, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 043903 (2008).
[CrossRef] [PubMed]

Hiller, J. M.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, Nano Lett. 5, 1399 (2005).
[CrossRef] [PubMed]

Hua, J.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, Nano Lett. 5, 1399 (2005).
[CrossRef] [PubMed]

Huang, C.

Ignatovich, F.

Jensen, M. A.

Kano, H.

Kawata, S.

Khardikov, V. V.

A. S. Schwanecke, V. A. Fedotov, V. V. Khardikov, S. L. Prosvirnin, Y. Chen, and N. I. Zheludev, Nano Lett. 8, 2940 (2008).
[CrossRef] [PubMed]

V. A. Fedotov, A. S. Schwanecke, N. I. Zheludev, V. V. Khardikov, and S. L. Prosvirnin, Nano Lett. 7, 1996 (2007).
[CrossRef]

Kimball, C. W.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, Nano Lett. 5, 1399 (2005).
[CrossRef] [PubMed]

Kleiner, V.

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

Y. Gorodetski, A. Niv, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 043903 (2008).
[CrossRef] [PubMed]

Koch, S. W.

A. V. Krasavin, A. S. Schwanecke, N. I. Zheludev, M. Reichelt, T. Stroucken, S. W. Koch, and E. M. Wright, Appl. Phys. Lett. 86, 201105 (2005).
[CrossRef]

Krasavin, A. V.

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

A. V. Krasavin, A. S. Schwanecke, N. I. Zheludev, M. Reichelt, T. Stroucken, S. W. Koch, and E. M. Wright, Appl. Phys. Lett. 86, 201105 (2005).
[CrossRef]

Lerman, G. M.

G. M. Lerman, A. Yanai, and U. Levy, Nano Lett. 9, 2129 (2009).
[CrossRef]

Levy, U.

G. M. Lerman, A. Yanai, and U. Levy, Nano Lett. 9, 2129 (2009).
[CrossRef]

A. Yanai and U. Levy, Opt. Express 17, 924 (2009).
[CrossRef] [PubMed]

Liu, Z.

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, Nano Lett. 5, 1726 (2005).
[CrossRef] [PubMed]

Miyanishi, S.

Mizuguchi, S.

Niv, A.

Y. Gorodetski, A. Niv, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 043903 (2008).
[CrossRef] [PubMed]

Nordin, G. P.

Novotny, L.

Ohno, T.

Pearson, J.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, Nano Lett. 5, 1399 (2005).
[CrossRef] [PubMed]

Pikus, Y.

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, Nano Lett. 5, 1726 (2005).
[CrossRef] [PubMed]

Powers, P. E.

Prosvirnin, S. L.

A. S. Schwanecke, V. A. Fedotov, V. V. Khardikov, S. L. Prosvirnin, Y. Chen, and N. I. Zheludev, Nano Lett. 8, 2940 (2008).
[CrossRef] [PubMed]

V. A. Fedotov, A. S. Schwanecke, N. I. Zheludev, V. V. Khardikov, and S. L. Prosvirnin, Nano Lett. 7, 1996 (2007).
[CrossRef]

Reichelt, M.

A. V. Krasavin, A. S. Schwanecke, N. I. Zheludev, M. Reichelt, T. Stroucken, S. W. Koch, and E. M. Wright, Appl. Phys. Lett. 86, 201105 (2005).
[CrossRef]

Sarangan, A. M.

Schwanecke, A. S.

A. S. Schwanecke, V. A. Fedotov, V. V. Khardikov, S. L. Prosvirnin, Y. Chen, and N. I. Zheludev, Nano Lett. 8, 2940 (2008).
[CrossRef] [PubMed]

V. A. Fedotov, A. S. Schwanecke, N. I. Zheludev, V. V. Khardikov, and S. L. Prosvirnin, Nano Lett. 7, 1996 (2007).
[CrossRef]

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

A. V. Krasavin, A. S. Schwanecke, N. I. Zheludev, M. Reichelt, T. Stroucken, S. W. Koch, and E. M. Wright, Appl. Phys. Lett. 86, 201105 (2005).
[CrossRef]

Shitrit, N.

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

Srituravanich, W.

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, Nano Lett. 5, 1726 (2005).
[CrossRef] [PubMed]

Steele, J. M.

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, Nano Lett. 5, 1726 (2005).
[CrossRef] [PubMed]

Stroucken, T.

A. V. Krasavin, A. S. Schwanecke, N. I. Zheludev, M. Reichelt, T. Stroucken, S. W. Koch, and E. M. Wright, Appl. Phys. Lett. 86, 201105 (2005).
[CrossRef]

Sun, C.

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, Nano Lett. 5, 1726 (2005).
[CrossRef] [PubMed]

Vlasko-Vlasov, V. K.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, Nano Lett. 5, 1399 (2005).
[CrossRef] [PubMed]

Weeber, J. C.

Welp, U.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, Nano Lett. 5, 1399 (2005).
[CrossRef] [PubMed]

Wiederrecht, G. P.

Wright, E. M.

A. V. Krasavin, A. S. Schwanecke, N. I. Zheludev, M. Reichelt, T. Stroucken, S. W. Koch, and E. M. Wright, Appl. Phys. Lett. 86, 201105 (2005).
[CrossRef]

Wu, Z.

Yanai, A.

A. Yanai and U. Levy, Opt. Express 17, 924 (2009).
[CrossRef] [PubMed]

G. M. Lerman, A. Yanai, and U. Levy, Nano Lett. 9, 2129 (2009).
[CrossRef]

Yin, L.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, Nano Lett. 5, 1399 (2005).
[CrossRef] [PubMed]

Zhan, Q.

Zhang, X.

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, Nano Lett. 5, 1726 (2005).
[CrossRef] [PubMed]

Zheludev, N. I.

A. S. Schwanecke, V. A. Fedotov, V. V. Khardikov, S. L. Prosvirnin, Y. Chen, and N. I. Zheludev, Nano Lett. 8, 2940 (2008).
[CrossRef] [PubMed]

V. A. Fedotov, A. S. Schwanecke, N. I. Zheludev, V. V. Khardikov, and S. L. Prosvirnin, Nano Lett. 7, 1996 (2007).
[CrossRef]

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

A. V. Krasavin, A. S. Schwanecke, N. I. Zheludev, M. Reichelt, T. Stroucken, S. W. Koch, and E. M. Wright, Appl. Phys. Lett. 86, 201105 (2005).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (1)

A. V. Krasavin, A. S. Schwanecke, N. I. Zheludev, M. Reichelt, T. Stroucken, S. W. Koch, and E. M. Wright, Appl. Phys. Lett. 86, 201105 (2005).
[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. (6)

V. A. Fedotov, A. S. Schwanecke, N. I. Zheludev, V. V. Khardikov, and S. L. Prosvirnin, Nano Lett. 7, 1996 (2007).
[CrossRef]

A. S. Schwanecke, V. A. Fedotov, V. V. Khardikov, S. L. Prosvirnin, Y. Chen, and N. I. Zheludev, Nano Lett. 8, 2940 (2008).
[CrossRef] [PubMed]

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, Nano Lett. 5, 1726 (2005).
[CrossRef] [PubMed]

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, Nano Lett. 5, 1399 (2005).
[CrossRef] [PubMed]

G. M. Lerman, A. Yanai, and U. Levy, Nano Lett. 9, 2129 (2009).
[CrossRef]

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

Opt. Express (2)

Opt. Lett. (5)

Phys. Rev. Lett. (1)

Y. Gorodetski, A. Niv, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 043903 (2008).
[CrossRef] [PubMed]

Proc. SPIE (1)

W. Chen and Q. Zhan, Proc. SPIE 6450, 64500D (2007).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Diagram of a left-hand single-turn Archimedes’ spiral and the coordinates used in calculation. The illumination is along the z direction, which comes out of the plane.

Fig. 2
Fig. 2

Analytical calculation results for (a) intensity distribution of RHC polarization illuminating a LHS; (b) intensity distribution of LHC polarization illuminating a LHS; (c) line scans across the origin for (a) and (b); (d) circular polarization extinction ratio versus the detector size.

Fig. 3
Fig. 3

Finite element method simulation results of the intensity distributions on (a) LHS and (b) RHS under the same RHC polarization illumination.

Fig. 4
Fig. 4

Numerically calculated circular polarization extinction ratio versus the detector size. R ct , extinction ratio calculated with total intensity; R cz , extinction ratio calculated with z component only; R cc , extinction ratio calculated with the analytical expression corrected with 0.15% uniform background.

Equations (7)

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

r = r 0 Λ 2 π ϕ ,
E RHC = 1 2 ( e x + i e y ) = 1 2 e i ϕ ( e r + i e ϕ ) ,
d E spp = e z E 0 z e i ϕ e k z z e i k r ( R e R r e r ) r d ϕ .
E spp ( R , θ ) = d E spp = e z E 0 z e i ϕ e k z z e i k r ( R e R r e r ) r d ϕ = e z E 0 z e k z z e i ϕ e i R k r e R e i ( r 0 ϕ Λ 2 π ) k r e r ( r 0 ϕ Λ 2 π ) d ϕ ,
E spp ( R , θ ) = e z E 0 z e k z z e i ϕ e i R k r e R e i k r r 0 e i ϕ ( r 0 ϕ Λ 2 π ) d ϕ = e z E 0 z e k z z e i k r r 0 e i R k r e R ( r 0 ϕ Λ 2 π ) d ϕ e z E 0 z e k z z e i k r r 0 e i R k r cos ( θ ϕ ) r 0 d ϕ = e z 2 π E 0 z r 0 e k z z e i k r r 0 J 0 ( k r R ) ,
E spp ( R , θ ) = e z 2 π E 0 z r 0 e k z z e i k r r 0 e 2 i θ J 2 ( k r R ) .
R c = 0 d 2 | J 0 ( k r R ) | 2 2 π R d R 0 d 2 | J 2 ( k r R ) | 2 2 π R d R .

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