Abstract

Within the framework of the Huygens–Fresnel approach, we evaluate the coherent superposition of surface plasmon (SP) modes excited by an incident circularly polarized light propagating through an array of subwavelength holes. Numerical results of the plasmonic distribution exhibit a rich structure that reveals the creation and annihilation of vortex arrays in the field phase. These phase singularities stem from total transfer of the spin angular momentum (AM) of the incident radiation to the orbital AM of the SP.

© 2013 Optical Society of America

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  1. T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
    [CrossRef]
  2. T. Thio, K. M. Pellerin, R. A. Linke, H. J. Lezec, and T. W. Ebbesen, Opt. Lett. 26, 1972 (2001).
    [CrossRef]
  3. B. Hecht, H. Bielefeldt, L. Novotny, Y. Inouye, and D. W. Pohl, Phys. Rev. Lett. 77, 1889 (1996).
    [CrossRef]
  4. L. Aigouy, P. Lalanne, J. P. Hugonin, G. Julié, V. Mathet, and M. Mortier, Phys. Rev. Lett. 98, 153902 (2007).
    [CrossRef]
  5. H. Raether, Surface Plasmons (Springer, 1988).
  6. J. F. Nye, Natural Focusing and Fine Structure of Light (CRC, 1999).
  7. M. S. Soskin and M. V. Vasnetsov, in Progress in Optics, E. Wolf, ed. (Elsevier, 2001), Vol. 42.
  8. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
    [CrossRef]
  9. M. E. J. Friese, J. Enger, H. Rubinsztein-Dunlop, and N. R. Heckenberg, Phys. Rev. A 54, 1593 (1996).
    [CrossRef]
  10. L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
    [CrossRef]
  11. Y. Gorodetski, N. Shitrit, I. Bretner, V. Kleiner, and E. Hasman, Nano Lett. 9, 3016 (2009).
    [CrossRef]
  12. G. C. G. Berkhout and M. W. Beijersbergen, J. Opt. Pure Appl. Opt. 11, 094021 (2009).
    [CrossRef]
  13. R. W. Schoonover and T. D. Visser, Phys. Rev. A 79, 043809 (2009).
    [CrossRef]
  14. L. T. Vuong, A. J. L. Adam, J. M. Brok, P. C. M. Planken, and H. P. Urbach, Phys. Rev. Lett. 104, 083903 (2010).
    [CrossRef]
  15. I. I. Mokhun and Oleg V. Angeslky, eds. Optical Correlation: Techniques and Applications (SPIE, 2007).
  16. J.-Y. Laluet, E. Devaux, C. Genet, T. W. Ebbesen, J.-C. Weeber, and A. Dereux, Opt. Express 15, 3488(2007).
    [CrossRef]
  17. W. Chen and Q. Zhan, Opt. Lett. 34, 722 (2009).
    [CrossRef]
  18. A. Ashkin, Biophys. J. 61, 569 (1992).
    [CrossRef]
  19. K. T. Gahagan and G. A. Swartzlander, Opt. Lett. 21, 827 (1996).
    [CrossRef]
  20. G. A. Swartzlander, D. L. Drugan, N. Hallak, M. O. Freeman, and C. T. Law, Laser Phys. 5, 704 (1995).

2010 (1)

L. T. Vuong, A. J. L. Adam, J. M. Brok, P. C. M. Planken, and H. P. Urbach, Phys. Rev. Lett. 104, 083903 (2010).
[CrossRef]

2009 (4)

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

G. C. G. Berkhout and M. W. Beijersbergen, J. Opt. Pure Appl. Opt. 11, 094021 (2009).
[CrossRef]

R. W. Schoonover and T. D. Visser, Phys. Rev. A 79, 043809 (2009).
[CrossRef]

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

2007 (2)

J.-Y. Laluet, E. Devaux, C. Genet, T. W. Ebbesen, J.-C. Weeber, and A. Dereux, Opt. Express 15, 3488(2007).
[CrossRef]

L. Aigouy, P. Lalanne, J. P. Hugonin, G. Julié, V. Mathet, and M. Mortier, Phys. Rev. Lett. 98, 153902 (2007).
[CrossRef]

2006 (1)

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

2001 (1)

1998 (1)

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

1996 (3)

B. Hecht, H. Bielefeldt, L. Novotny, Y. Inouye, and D. W. Pohl, Phys. Rev. Lett. 77, 1889 (1996).
[CrossRef]

M. E. J. Friese, J. Enger, H. Rubinsztein-Dunlop, and N. R. Heckenberg, Phys. Rev. A 54, 1593 (1996).
[CrossRef]

K. T. Gahagan and G. A. Swartzlander, Opt. Lett. 21, 827 (1996).
[CrossRef]

1995 (1)

G. A. Swartzlander, D. L. Drugan, N. Hallak, M. O. Freeman, and C. T. Law, Laser Phys. 5, 704 (1995).

1992 (2)

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

A. Ashkin, Biophys. J. 61, 569 (1992).
[CrossRef]

Adam, A. J. L.

L. T. Vuong, A. J. L. Adam, J. M. Brok, P. C. M. Planken, and H. P. Urbach, Phys. Rev. Lett. 104, 083903 (2010).
[CrossRef]

Aigouy, L.

L. Aigouy, P. Lalanne, J. P. Hugonin, G. Julié, V. Mathet, and M. Mortier, Phys. Rev. Lett. 98, 153902 (2007).
[CrossRef]

Allen, L.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

Ashkin, A.

A. Ashkin, Biophys. J. 61, 569 (1992).
[CrossRef]

Beijersbergen, M. W.

G. C. G. Berkhout and M. W. Beijersbergen, J. Opt. Pure Appl. Opt. 11, 094021 (2009).
[CrossRef]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

Berkhout, G. C. G.

G. C. G. Berkhout and M. W. Beijersbergen, J. Opt. Pure Appl. Opt. 11, 094021 (2009).
[CrossRef]

Bielefeldt, H.

B. Hecht, H. Bielefeldt, L. Novotny, Y. Inouye, and D. W. Pohl, Phys. Rev. Lett. 77, 1889 (1996).
[CrossRef]

Bretner, I.

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

Brok, J. M.

L. T. Vuong, A. J. L. Adam, J. M. Brok, P. C. M. Planken, and H. P. Urbach, Phys. Rev. Lett. 104, 083903 (2010).
[CrossRef]

Chen, W.

Dereux, A.

Devaux, E.

Drugan, D. L.

G. A. Swartzlander, D. L. Drugan, N. Hallak, M. O. Freeman, and C. T. Law, Laser Phys. 5, 704 (1995).

Ebbesen, T. W.

Enger, J.

M. E. J. Friese, J. Enger, H. Rubinsztein-Dunlop, and N. R. Heckenberg, Phys. Rev. A 54, 1593 (1996).
[CrossRef]

Freeman, M. O.

G. A. Swartzlander, D. L. Drugan, N. Hallak, M. O. Freeman, and C. T. Law, Laser Phys. 5, 704 (1995).

Friese, M. E. J.

M. E. J. Friese, J. Enger, H. Rubinsztein-Dunlop, and N. R. Heckenberg, Phys. Rev. A 54, 1593 (1996).
[CrossRef]

Gahagan, K. T.

Genet, C.

Ghaemi, H. F.

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

Gorodetski, Y.

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

Hallak, N.

G. A. Swartzlander, D. L. Drugan, N. Hallak, M. O. Freeman, and C. T. Law, Laser Phys. 5, 704 (1995).

Hasman, E.

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

Hecht, B.

B. Hecht, H. Bielefeldt, L. Novotny, Y. Inouye, and D. W. Pohl, Phys. Rev. Lett. 77, 1889 (1996).
[CrossRef]

Heckenberg, N. R.

M. E. J. Friese, J. Enger, H. Rubinsztein-Dunlop, and N. R. Heckenberg, Phys. Rev. A 54, 1593 (1996).
[CrossRef]

Hugonin, J. P.

L. Aigouy, P. Lalanne, J. P. Hugonin, G. Julié, V. Mathet, and M. Mortier, Phys. Rev. Lett. 98, 153902 (2007).
[CrossRef]

Inouye, Y.

B. Hecht, H. Bielefeldt, L. Novotny, Y. Inouye, and D. W. Pohl, Phys. Rev. Lett. 77, 1889 (1996).
[CrossRef]

Julié, G.

L. Aigouy, P. Lalanne, J. P. Hugonin, G. Julié, V. Mathet, and M. Mortier, Phys. Rev. Lett. 98, 153902 (2007).
[CrossRef]

Kleiner, V.

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

Lalanne, P.

L. Aigouy, P. Lalanne, J. P. Hugonin, G. Julié, V. Mathet, and M. Mortier, Phys. Rev. Lett. 98, 153902 (2007).
[CrossRef]

Laluet, J.-Y.

Law, C. T.

G. A. Swartzlander, D. L. Drugan, N. Hallak, M. O. Freeman, and C. T. Law, Laser Phys. 5, 704 (1995).

Lezec, H. J.

T. Thio, K. M. Pellerin, R. A. Linke, H. J. Lezec, and T. W. Ebbesen, Opt. Lett. 26, 1972 (2001).
[CrossRef]

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

Linke, R. A.

Manzo, C.

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

Marrucci, L.

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

Mathet, V.

L. Aigouy, P. Lalanne, J. P. Hugonin, G. Julié, V. Mathet, and M. Mortier, Phys. Rev. Lett. 98, 153902 (2007).
[CrossRef]

Mortier, M.

L. Aigouy, P. Lalanne, J. P. Hugonin, G. Julié, V. Mathet, and M. Mortier, Phys. Rev. Lett. 98, 153902 (2007).
[CrossRef]

Novotny, L.

B. Hecht, H. Bielefeldt, L. Novotny, Y. Inouye, and D. W. Pohl, Phys. Rev. Lett. 77, 1889 (1996).
[CrossRef]

Nye, J. F.

J. F. Nye, Natural Focusing and Fine Structure of Light (CRC, 1999).

Paparo, D.

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

Pellerin, K. M.

Planken, P. C. M.

L. T. Vuong, A. J. L. Adam, J. M. Brok, P. C. M. Planken, and H. P. Urbach, Phys. Rev. Lett. 104, 083903 (2010).
[CrossRef]

Pohl, D. W.

B. Hecht, H. Bielefeldt, L. Novotny, Y. Inouye, and D. W. Pohl, Phys. Rev. Lett. 77, 1889 (1996).
[CrossRef]

Raether, H.

H. Raether, Surface Plasmons (Springer, 1988).

Rubinsztein-Dunlop, H.

M. E. J. Friese, J. Enger, H. Rubinsztein-Dunlop, and N. R. Heckenberg, Phys. Rev. A 54, 1593 (1996).
[CrossRef]

Schoonover, R. W.

R. W. Schoonover and T. D. Visser, Phys. Rev. A 79, 043809 (2009).
[CrossRef]

Shitrit, N.

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

Soskin, M. S.

M. S. Soskin and M. V. Vasnetsov, in Progress in Optics, E. Wolf, ed. (Elsevier, 2001), Vol. 42.

Spreeuw, R. J. C.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

Swartzlander, G. A.

K. T. Gahagan and G. A. Swartzlander, Opt. Lett. 21, 827 (1996).
[CrossRef]

G. A. Swartzlander, D. L. Drugan, N. Hallak, M. O. Freeman, and C. T. Law, Laser Phys. 5, 704 (1995).

Thio, T.

T. Thio, K. M. Pellerin, R. A. Linke, H. J. Lezec, and T. W. Ebbesen, Opt. Lett. 26, 1972 (2001).
[CrossRef]

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

Urbach, H. P.

L. T. Vuong, A. J. L. Adam, J. M. Brok, P. C. M. Planken, and H. P. Urbach, Phys. Rev. Lett. 104, 083903 (2010).
[CrossRef]

Vasnetsov, M. V.

M. S. Soskin and M. V. Vasnetsov, in Progress in Optics, E. Wolf, ed. (Elsevier, 2001), Vol. 42.

Visser, T. D.

R. W. Schoonover and T. D. Visser, Phys. Rev. A 79, 043809 (2009).
[CrossRef]

Vuong, L. T.

L. T. Vuong, A. J. L. Adam, J. M. Brok, P. C. M. Planken, and H. P. Urbach, Phys. Rev. Lett. 104, 083903 (2010).
[CrossRef]

Weeber, J.-C.

Woerdman, J. P.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

Wolff, P. A.

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

Zhan, Q.

Biophys. J. (1)

A. Ashkin, Biophys. J. 61, 569 (1992).
[CrossRef]

J. Opt. Pure Appl. Opt. (1)

G. C. G. Berkhout and M. W. Beijersbergen, J. Opt. Pure Appl. Opt. 11, 094021 (2009).
[CrossRef]

Laser Phys. (1)

G. A. Swartzlander, D. L. Drugan, N. Hallak, M. O. Freeman, and C. T. Law, Laser Phys. 5, 704 (1995).

Nano Lett. (1)

Y. Gorodetski, N. Shitrit, I. Bretner, V. Kleiner, and E. Hasman, Nano Lett. 9, 3016 (2009).
[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 (1)

Opt. Lett. (3)

Phys. Rev. A (3)

R. W. Schoonover and T. D. Visser, Phys. Rev. A 79, 043809 (2009).
[CrossRef]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

M. E. J. Friese, J. Enger, H. Rubinsztein-Dunlop, and N. R. Heckenberg, Phys. Rev. A 54, 1593 (1996).
[CrossRef]

Phys. Rev. Lett. (4)

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

L. T. Vuong, A. J. L. Adam, J. M. Brok, P. C. M. Planken, and H. P. Urbach, Phys. Rev. Lett. 104, 083903 (2010).
[CrossRef]

B. Hecht, H. Bielefeldt, L. Novotny, Y. Inouye, and D. W. Pohl, Phys. Rev. Lett. 77, 1889 (1996).
[CrossRef]

L. Aigouy, P. Lalanne, J. P. Hugonin, G. Julié, V. Mathet, and M. Mortier, Phys. Rev. Lett. 98, 153902 (2007).
[CrossRef]

Other (4)

H. Raether, Surface Plasmons (Springer, 1988).

J. F. Nye, Natural Focusing and Fine Structure of Light (CRC, 1999).

M. S. Soskin and M. V. Vasnetsov, in Progress in Optics, E. Wolf, ed. (Elsevier, 2001), Vol. 42.

I. I. Mokhun and Oleg V. Angeslky, eds. Optical Correlation: Techniques and Applications (SPIE, 2007).

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Figures (3)

Fig. 1.
Fig. 1.

SP amplitudes and phases for three values of N and R=4μm fixed. (a)–(c) Normalized intensity profiles |E|2 for N=15, N=25, and N=70. (d)–(f) Phases for N=15, N=25, and N=70. The singularity points correspond to that region of the phase graph where the phase makes a 2π rotation around it.

Fig. 2.
Fig. 2.

Normalized intensity of the plasmonic field as a function of the transverse distance x for y=0 and N=70. The Bessel-like J±1(x) characteristic curve is easily recognizable.

Fig. 3.
Fig. 3.

Dependence of the topological charge sign on the handness of the circularly incident polarization. Two opposite senses of rotation of the incident electric field generate vortices with topological charges opposed to each other. In this simulation the value N=70 is used.

Equations (2)

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

Esp=n=1Nexp(iksprn)rnexp(ikin·δn)esp·Ein,
Esp,N=A0J±1(βr)exp(±iϕ)Θ(rR)exp(αz),

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