Abstract

A plasmonic device is proposed to produce a self-imaging surface plasmon void array (2D surface bottle beam array) by the interference of two nondiffracting surface beams, namely, cosine-Gauss beams. The self-imaging surface voids are shown by full-wave calculations and then verified experimentally with an aperture-type near-field scanning optical microscope. We also demonstrate that the void array can be adjusted with flexibility in terms of the pattern and the number of voids.

© 2013 Optical Society of America

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    [CrossRef]

2012 (3)

C. Alpmann, M. Esseling, P. Rose, and C. Denz, Appl. Phys. Lett. 100, 111101 (2012).
[CrossRef]

J. Lin, J. Dellinger, P. Genevet, B. Cluzel, F. de Founel, and F. Capasso, Phys. Rev. Lett. 109, 093904 (2012).
[CrossRef]

G. Li, S. Zhang, L. Isenhower, K. Maller, and M. Saffman, Opt. Lett. 37, 851 (2012).
[CrossRef]

2010 (2)

K. Wang, E. Schonbrun, P. Steinvurzel, and K. B. Crozier, Nano Lett. 10, 3506 (2010).
[CrossRef]

E. S. Shuman, J. F. Barry, and D. DeMille, Nature 467, 820 (2010).
[CrossRef]

2008 (2)

M. Righini, G. Volpe, C. Girard, D. Petrov, and R. Quidant, Phys. Rev. Lett. 100, 186804 (2008).
[CrossRef]

J. Arlt and M. J. Padgett, Opt. Commun. 281, 1358 (2008).
[CrossRef]

2007 (2)

M. Righini, A. S. Zelenina, C. Girard, and R. Quidant, Nat. Phys. 3, 477 (2007).
[CrossRef]

T. Puppe, I. Schuster, A. Grothe, A. Kubanek, K. Murr, P. W. H. Pinkse, and G. Rempe, Phys. Rev. Lett. 99, 013002 (2007).
[CrossRef]

2006 (1)

T. Cizmar, M. Siler, M. Sery, and P. Zemanek, Phys. Rev. B 74, 035105 (2006).
[CrossRef]

2004 (2)

B. P. S. Ahluwalia, X.-C. Yuan, and S. H. Tao, Opt. Commun. 238, 177 (2004).
[CrossRef]

D. Yelin, B. E. Bouma, and G. J. Tearney, Opt. Lett. 29, 661 (2004).
[CrossRef]

2003 (1)

Z. Bouchal, Czech. J. Phys. 53, 537 (2003).
[CrossRef]

2000 (2)

V. Vuletic and S. Chu, Phys. Rev. Lett. 84, 3787 (2000).
[CrossRef]

J. Arlt and M. J. Padgett, Opt. Lett. 25, 191 (2000).
[CrossRef]

1999 (1)

1996 (1)

1992 (1)

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

1991 (1)

P. Szwaykowski and J. Ojeda-Castaneda, Opt. Commun. 83, 1 (1991).
[CrossRef]

1836 (1)

H. F. Talbot, Philos. Mag. 9(56), 401 (1836).
[CrossRef]

Ahluwalia, B. P. S.

B. P. S. Ahluwalia, X.-C. Yuan, and S. H. Tao, Opt. Commun. 238, 177 (2004).
[CrossRef]

Allen, L.

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

Alpmann, C.

C. Alpmann, M. Esseling, P. Rose, and C. Denz, Appl. Phys. Lett. 100, 111101 (2012).
[CrossRef]

Arlt, J.

J. Arlt and M. J. Padgett, Opt. Commun. 281, 1358 (2008).
[CrossRef]

J. Arlt and M. J. Padgett, Opt. Lett. 25, 191 (2000).
[CrossRef]

Barry, J. F.

E. S. Shuman, J. F. Barry, and D. DeMille, Nature 467, 820 (2010).
[CrossRef]

Beijersbergen, M. W.

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

Bouchal, Z.

Z. Bouchal, Czech. J. Phys. 53, 537 (2003).
[CrossRef]

Bouma, B. E.

Capasso, F.

J. Lin, J. Dellinger, P. Genevet, B. Cluzel, F. de Founel, and F. Capasso, Phys. Rev. Lett. 109, 093904 (2012).
[CrossRef]

Chu, S.

V. Vuletic and S. Chu, Phys. Rev. Lett. 84, 3787 (2000).
[CrossRef]

Cizmar, T.

T. Cizmar, M. Siler, M. Sery, and P. Zemanek, Phys. Rev. B 74, 035105 (2006).
[CrossRef]

Cluzel, B.

J. Lin, J. Dellinger, P. Genevet, B. Cluzel, F. de Founel, and F. Capasso, Phys. Rev. Lett. 109, 093904 (2012).
[CrossRef]

Crozier, K. B.

K. Wang, E. Schonbrun, P. Steinvurzel, and K. B. Crozier, Nano Lett. 10, 3506 (2010).
[CrossRef]

de Founel, F.

J. Lin, J. Dellinger, P. Genevet, B. Cluzel, F. de Founel, and F. Capasso, Phys. Rev. Lett. 109, 093904 (2012).
[CrossRef]

Dellinger, J.

J. Lin, J. Dellinger, P. Genevet, B. Cluzel, F. de Founel, and F. Capasso, Phys. Rev. Lett. 109, 093904 (2012).
[CrossRef]

DeMille, D.

E. S. Shuman, J. F. Barry, and D. DeMille, Nature 467, 820 (2010).
[CrossRef]

Denz, C.

C. Alpmann, M. Esseling, P. Rose, and C. Denz, Appl. Phys. Lett. 100, 111101 (2012).
[CrossRef]

Esseling, M.

C. Alpmann, M. Esseling, P. Rose, and C. Denz, Appl. Phys. Lett. 100, 111101 (2012).
[CrossRef]

Gahagan, K. T.

Genevet, P.

J. Lin, J. Dellinger, P. Genevet, B. Cluzel, F. de Founel, and F. Capasso, Phys. Rev. Lett. 109, 093904 (2012).
[CrossRef]

Girard, C.

M. Righini, G. Volpe, C. Girard, D. Petrov, and R. Quidant, Phys. Rev. Lett. 100, 186804 (2008).
[CrossRef]

M. Righini, A. S. Zelenina, C. Girard, and R. Quidant, Nat. Phys. 3, 477 (2007).
[CrossRef]

Grothe, A.

T. Puppe, I. Schuster, A. Grothe, A. Kubanek, K. Murr, P. W. H. Pinkse, and G. Rempe, Phys. Rev. Lett. 99, 013002 (2007).
[CrossRef]

Isenhower, L.

Kubanek, A.

T. Puppe, I. Schuster, A. Grothe, A. Kubanek, K. Murr, P. W. H. Pinkse, and G. Rempe, Phys. Rev. Lett. 99, 013002 (2007).
[CrossRef]

Li, G.

Lin, J.

J. Lin, J. Dellinger, P. Genevet, B. Cluzel, F. de Founel, and F. Capasso, Phys. Rev. Lett. 109, 093904 (2012).
[CrossRef]

Maller, K.

Murr, K.

T. Puppe, I. Schuster, A. Grothe, A. Kubanek, K. Murr, P. W. H. Pinkse, and G. Rempe, Phys. Rev. Lett. 99, 013002 (2007).
[CrossRef]

Ojeda-Castaneda, J.

P. Szwaykowski and J. Ojeda-Castaneda, Opt. Commun. 83, 1 (1991).
[CrossRef]

Padgett, M. J.

J. Arlt and M. J. Padgett, Opt. Commun. 281, 1358 (2008).
[CrossRef]

J. Arlt and M. J. Padgett, Opt. Lett. 25, 191 (2000).
[CrossRef]

Petrov, D.

M. Righini, G. Volpe, C. Girard, D. Petrov, and R. Quidant, Phys. Rev. Lett. 100, 186804 (2008).
[CrossRef]

Pinkse, P. W. H.

T. Puppe, I. Schuster, A. Grothe, A. Kubanek, K. Murr, P. W. H. Pinkse, and G. Rempe, Phys. Rev. Lett. 99, 013002 (2007).
[CrossRef]

Puppe, T.

T. Puppe, I. Schuster, A. Grothe, A. Kubanek, K. Murr, P. W. H. Pinkse, and G. Rempe, Phys. Rev. Lett. 99, 013002 (2007).
[CrossRef]

Quidant, R.

M. Righini, G. Volpe, C. Girard, D. Petrov, and R. Quidant, Phys. Rev. Lett. 100, 186804 (2008).
[CrossRef]

M. Righini, A. S. Zelenina, C. Girard, and R. Quidant, Nat. Phys. 3, 477 (2007).
[CrossRef]

Rempe, G.

T. Puppe, I. Schuster, A. Grothe, A. Kubanek, K. Murr, P. W. H. Pinkse, and G. Rempe, Phys. Rev. Lett. 99, 013002 (2007).
[CrossRef]

Righini, M.

M. Righini, G. Volpe, C. Girard, D. Petrov, and R. Quidant, Phys. Rev. Lett. 100, 186804 (2008).
[CrossRef]

M. Righini, A. S. Zelenina, C. Girard, and R. Quidant, Nat. Phys. 3, 477 (2007).
[CrossRef]

Rose, P.

C. Alpmann, M. Esseling, P. Rose, and C. Denz, Appl. Phys. Lett. 100, 111101 (2012).
[CrossRef]

Saffman, M.

Schonbrun, E.

K. Wang, E. Schonbrun, P. Steinvurzel, and K. B. Crozier, Nano Lett. 10, 3506 (2010).
[CrossRef]

Schuster, I.

T. Puppe, I. Schuster, A. Grothe, A. Kubanek, K. Murr, P. W. H. Pinkse, and G. Rempe, Phys. Rev. Lett. 99, 013002 (2007).
[CrossRef]

Sery, M.

T. Cizmar, M. Siler, M. Sery, and P. Zemanek, Phys. Rev. B 74, 035105 (2006).
[CrossRef]

Shuman, E. S.

E. S. Shuman, J. F. Barry, and D. DeMille, Nature 467, 820 (2010).
[CrossRef]

Siler, M.

T. Cizmar, M. Siler, M. Sery, and P. Zemanek, Phys. Rev. B 74, 035105 (2006).
[CrossRef]

Spreeuw, R. J. C.

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

Steinvurzel, P.

K. Wang, E. Schonbrun, P. Steinvurzel, and K. B. Crozier, Nano Lett. 10, 3506 (2010).
[CrossRef]

Swartzlander, G. A.

Szwaykowski, P.

P. Szwaykowski and J. Ojeda-Castaneda, Opt. Commun. 83, 1 (1991).
[CrossRef]

Talbot, H. F.

H. F. Talbot, Philos. Mag. 9(56), 401 (1836).
[CrossRef]

Tao, S. H.

B. P. S. Ahluwalia, X.-C. Yuan, and S. H. Tao, Opt. Commun. 238, 177 (2004).
[CrossRef]

Tearney, G. J.

Volpe, G.

M. Righini, G. Volpe, C. Girard, D. Petrov, and R. Quidant, Phys. Rev. Lett. 100, 186804 (2008).
[CrossRef]

Vuletic, V.

V. Vuletic and S. Chu, Phys. Rev. Lett. 84, 3787 (2000).
[CrossRef]

Wang, K.

K. Wang, E. Schonbrun, P. Steinvurzel, and K. B. Crozier, Nano Lett. 10, 3506 (2010).
[CrossRef]

Woerdman, J. P.

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

Yelin, D.

Yuan, X.-C.

B. P. S. Ahluwalia, X.-C. Yuan, and S. H. Tao, Opt. Commun. 238, 177 (2004).
[CrossRef]

Zelenina, A. S.

M. Righini, A. S. Zelenina, C. Girard, and R. Quidant, Nat. Phys. 3, 477 (2007).
[CrossRef]

Zemanek, P.

T. Cizmar, M. Siler, M. Sery, and P. Zemanek, Phys. Rev. B 74, 035105 (2006).
[CrossRef]

Zhang, S.

Appl. Phys. Lett. (1)

C. Alpmann, M. Esseling, P. Rose, and C. Denz, Appl. Phys. Lett. 100, 111101 (2012).
[CrossRef]

Czech. J. Phys. (1)

Z. Bouchal, Czech. J. Phys. 53, 537 (2003).
[CrossRef]

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

Nano Lett. (1)

K. Wang, E. Schonbrun, P. Steinvurzel, and K. B. Crozier, Nano Lett. 10, 3506 (2010).
[CrossRef]

Nat. Phys. (1)

M. Righini, A. S. Zelenina, C. Girard, and R. Quidant, Nat. Phys. 3, 477 (2007).
[CrossRef]

Nature (1)

E. S. Shuman, J. F. Barry, and D. DeMille, Nature 467, 820 (2010).
[CrossRef]

Opt. Commun. (3)

J. Arlt and M. J. Padgett, Opt. Commun. 281, 1358 (2008).
[CrossRef]

B. P. S. Ahluwalia, X.-C. Yuan, and S. H. Tao, Opt. Commun. 238, 177 (2004).
[CrossRef]

P. Szwaykowski and J. Ojeda-Castaneda, Opt. Commun. 83, 1 (1991).
[CrossRef]

Opt. Lett. (4)

Philos. Mag. (1)

H. F. Talbot, Philos. Mag. 9(56), 401 (1836).
[CrossRef]

Phys. Rev. A (1)

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

Phys. Rev. B (1)

T. Cizmar, M. Siler, M. Sery, and P. Zemanek, Phys. Rev. B 74, 035105 (2006).
[CrossRef]

Phys. Rev. Lett. (4)

J. Lin, J. Dellinger, P. Genevet, B. Cluzel, F. de Founel, and F. Capasso, Phys. Rev. Lett. 109, 093904 (2012).
[CrossRef]

M. Righini, G. Volpe, C. Girard, D. Petrov, and R. Quidant, Phys. Rev. Lett. 100, 186804 (2008).
[CrossRef]

V. Vuletic and S. Chu, Phys. Rev. Lett. 84, 3787 (2000).
[CrossRef]

T. Puppe, I. Schuster, A. Grothe, A. Kubanek, K. Murr, P. W. H. Pinkse, and G. Rempe, Phys. Rev. Lett. 99, 013002 (2007).
[CrossRef]

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Figures (3)

Fig. 1.
Fig. 1.

Schematic of the designed structure. (a) A nondiffracting CGB is generated by interfering two SP plane waves at half-intersecting angle θ; blue solid lines represent SP line sources. (b) Arrays of plasmon bottle beams constructed by interfering two nondiffracting CGBs. The red and blue solid lines represent SP line sources with a length of D with varying half-intersecting angles θ1 and θ2. Two CGBs with varying propagating constants in the propagating direction are generated, which then interfere with each other within the overlap area, forming an array of voids. (c) Experimental setup. A Gaussian beam from a linearly polarized 633 nm laser source (x polarized), focused by an objective lens (10×, NA=0.3), normally incident on the metal surface to excite SP waves. The aperture-type near-field scanning optical microscope (NSOM) with an aluminum-coated fiber tip (tip aperture about 100 nm in diameter) is used to measure the 2D SP field distribution.

Fig. 2.
Fig. 2.

Arrays of voids generated by interference of two CGBs. (a) Scanning electron micrograph of the sample. (b) Finite-difference time-domain (FDTD) numerical calculation and (d) the near-field SP intensity distributions obtained from experimental measurement by NSOM. Two typical voids surrounded by high intensities are shown in (c) and (e), corresponding to areas outlined by blue frames in (b) and (d), respectively.

Fig. 3.
Fig. 3.

Scanning electron micrograph of device with (a) D=15μm, θ1=10°, θ2=20°; (d) D=15μm, θ1=5°, θ2=30°. (b) and (e) FDTD simulation; (c) and (f) NSOM measurement. Intensity distributions of void arrays with different parameters: (b) and (c) with θ1=10°, θ2=20°, D=15μm; (e) and (f) with θ1=5°, θ2=30°, D=15μm.

Equations (4)

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

Ez(x,y)=E0cos(kyy)exp(y2/w02)exp(ikxx),
Ez(x,y)=Ez1(x,y)+Ez2(x,y)=E1cos(ky1y)exp(y2/w02)exp(ikx1x)+E2cos(ky2y)exp(y2/w02)exp(ikx2x).
I(x,0)=Ez(x,0)Ez*(x,0)=|E0|2{exp(2kx1x)+exp(2kx2x)+2cos[(kx1kx2)x]exp[(kx1+kx2)x]}.
λsp=λ0εd+εmεdεm

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