Abstract

We report the experimental generation and dynamic trajectory control of plasmonic Airy beams (PABs). The PABs are created by directly coupling free-space Airy beams to surface plasmon polaritons through a grating coupler on a metal surface. We show that the ballistic motion of the PABs can be reconfigured in real time by either a computer addressed spatial light modulator or mechanical means.

© 2011 Optical Society of America

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  1. W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
    [CrossRef] [PubMed]
  2. V. S. Volkov, E. Devaux, J.-Y. Laluet, T. W. Ebbesen, and S. I. Bozhevolnyi, Nature 440, 508 (2006).
    [CrossRef] [PubMed]
  3. E. Devaux, J.-Y. Laluet, B. Stein, C. Genet, T. Ebbesen, J. -C. Weeber, and A. Dereux, Opt. Express 18, 20610 (2010).
    [CrossRef] [PubMed]
  4. T. Zentgraf, Y. Liu, M. H. Mikkelsen, J. Valentine, and X. Zhang, Nat. Nanotechnol. 6, 151 (2011).
    [CrossRef] [PubMed]
  5. G. A. Siviloglou and D. N. Christodoulides, Opt. Lett. 32, 979 (2007).
    [CrossRef] [PubMed]
  6. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
    [CrossRef]
  7. A. Salandrino and D. N. Christodoulides, Opt. Lett. 35, 2082 (2010).
    [CrossRef] [PubMed]
  8. W. Liu, D. N. Neshev, I. V. Shadrivov, A. E. Miroshnichenko, and Y. S. Kivshar, Opt. Lett. 36, 1164 (2011).
    [CrossRef] [PubMed]
  9. J. Durnin, J. J. Miceli Jr., and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
    [CrossRef] [PubMed]
  10. M. V. Berry and N. L. Balazs, Am. J. Phys. 47, 264(1979).
    [CrossRef]
  11. J. Broky, G. A. Siviloglou, A. Dogariu, and D. N. Christodoulides, Opt. Express 16, 12880 (2008).
    [CrossRef] [PubMed]
  12. J. Baumgartl, M. Mazilu, and K. Dholakia, Nat. Photon. 2, 675 (2008).
    [CrossRef]
  13. P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
    [CrossRef] [PubMed]
  14. A. Chong, W. Renninger, D. N. Christodoulides, and F. W. Wise, Nat. Photon. 4, 103 (2010).
    [CrossRef]
  15. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Opt. Lett. 33, 207 (2008).
    [CrossRef] [PubMed]
  16. Y. Hu, P. Zhang, C. Lou, S. Huang, J. Xu, and Z. Chen, Opt. Lett. 35, 2260 (2010).
    [CrossRef] [PubMed]
  17. E. Greenfield, M. Segev, W. Walasik, and O. Raz, Phys. Rev. Lett. 106, 213902 (2011).
    [CrossRef] [PubMed]
  18. M. Righini, A. S. Zelenina, C. Girard, and R. Quidant, Nat. Phys. 3, 477 (2007).
    [CrossRef]
  19. A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, in Quantum Electronics and Laser Science Conference, OSA Technical Digest (CD)(Optical Society of America (2011), paper QThQ6.

2011 (4)

T. Zentgraf, Y. Liu, M. H. Mikkelsen, J. Valentine, and X. Zhang, Nat. Nanotechnol. 6, 151 (2011).
[CrossRef] [PubMed]

W. Liu, D. N. Neshev, I. V. Shadrivov, A. E. Miroshnichenko, and Y. S. Kivshar, Opt. Lett. 36, 1164 (2011).
[CrossRef] [PubMed]

E. Greenfield, M. Segev, W. Walasik, and O. Raz, Phys. Rev. Lett. 106, 213902 (2011).
[CrossRef] [PubMed]

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, in Quantum Electronics and Laser Science Conference, OSA Technical Digest (CD)(Optical Society of America (2011), paper QThQ6.

2010 (4)

2009 (1)

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
[CrossRef] [PubMed]

2008 (3)

2007 (3)

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

G. A. Siviloglou and D. N. Christodoulides, Opt. Lett. 32, 979 (2007).
[CrossRef] [PubMed]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

2006 (1)

V. S. Volkov, E. Devaux, J.-Y. Laluet, T. W. Ebbesen, and S. I. Bozhevolnyi, Nature 440, 508 (2006).
[CrossRef] [PubMed]

2003 (1)

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

1987 (1)

J. Durnin, J. J. Miceli Jr., and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

1979 (1)

M. V. Berry and N. L. Balazs, Am. J. Phys. 47, 264(1979).
[CrossRef]

Balazs, N. L.

M. V. Berry and N. L. Balazs, Am. J. Phys. 47, 264(1979).
[CrossRef]

Barnes, W. L.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

Baumgartl, J.

J. Baumgartl, M. Mazilu, and K. Dholakia, Nat. Photon. 2, 675 (2008).
[CrossRef]

Berry, M. V.

M. V. Berry and N. L. Balazs, Am. J. Phys. 47, 264(1979).
[CrossRef]

Bozhevolnyi, S. I.

V. S. Volkov, E. Devaux, J.-Y. Laluet, T. W. Ebbesen, and S. I. Bozhevolnyi, Nature 440, 508 (2006).
[CrossRef] [PubMed]

Broky, J.

Chen, Z.

Chong, A.

A. Chong, W. Renninger, D. N. Christodoulides, and F. W. Wise, Nat. Photon. 4, 103 (2010).
[CrossRef]

Christodoulides, D. N.

A. Chong, W. Renninger, D. N. Christodoulides, and F. W. Wise, Nat. Photon. 4, 103 (2010).
[CrossRef]

A. Salandrino and D. N. Christodoulides, Opt. Lett. 35, 2082 (2010).
[CrossRef] [PubMed]

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
[CrossRef] [PubMed]

J. Broky, G. A. Siviloglou, A. Dogariu, and D. N. Christodoulides, Opt. Express 16, 12880 (2008).
[CrossRef] [PubMed]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Opt. Lett. 33, 207 (2008).
[CrossRef] [PubMed]

G. A. Siviloglou and D. N. Christodoulides, Opt. Lett. 32, 979 (2007).
[CrossRef] [PubMed]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

Dereux, A.

Devaux, E.

Dholakia, K.

J. Baumgartl, M. Mazilu, and K. Dholakia, Nat. Photon. 2, 675 (2008).
[CrossRef]

Dogariu, A.

Durnin, J.

J. Durnin, J. J. Miceli Jr., and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Ebbesen, T.

Ebbesen, T. W.

V. S. Volkov, E. Devaux, J.-Y. Laluet, T. W. Ebbesen, and S. I. Bozhevolnyi, Nature 440, 508 (2006).
[CrossRef] [PubMed]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

Eberly, J. H.

J. Durnin, J. J. Miceli Jr., and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Genet, C.

Girard, C.

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

Greenfield, E.

E. Greenfield, M. Segev, W. Walasik, and O. Raz, Phys. Rev. Lett. 106, 213902 (2011).
[CrossRef] [PubMed]

Hu, Y.

Huang, S.

Janunts, N.

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, in Quantum Electronics and Laser Science Conference, OSA Technical Digest (CD)(Optical Society of America (2011), paper QThQ6.

Kivshar, Y. S.

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, in Quantum Electronics and Laser Science Conference, OSA Technical Digest (CD)(Optical Society of America (2011), paper QThQ6.

W. Liu, D. N. Neshev, I. V. Shadrivov, A. E. Miroshnichenko, and Y. S. Kivshar, Opt. Lett. 36, 1164 (2011).
[CrossRef] [PubMed]

Klein, A. E.

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, in Quantum Electronics and Laser Science Conference, OSA Technical Digest (CD)(Optical Society of America (2011), paper QThQ6.

Kolesik, M.

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
[CrossRef] [PubMed]

Laluet, J.-Y.

Liu, W.

Liu, Y.

T. Zentgraf, Y. Liu, M. H. Mikkelsen, J. Valentine, and X. Zhang, Nat. Nanotechnol. 6, 151 (2011).
[CrossRef] [PubMed]

Lou, C.

Mazilu, M.

J. Baumgartl, M. Mazilu, and K. Dholakia, Nat. Photon. 2, 675 (2008).
[CrossRef]

Miceli, Jr., J. J.

J. Durnin, J. J. Miceli Jr., and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Mikkelsen, M. H.

T. Zentgraf, Y. Liu, M. H. Mikkelsen, J. Valentine, and X. Zhang, Nat. Nanotechnol. 6, 151 (2011).
[CrossRef] [PubMed]

Minovich, A.

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, in Quantum Electronics and Laser Science Conference, OSA Technical Digest (CD)(Optical Society of America (2011), paper QThQ6.

Miroshnichenko, A. E.

Moloney, J. V.

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
[CrossRef] [PubMed]

Neshev, D. N.

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, in Quantum Electronics and Laser Science Conference, OSA Technical Digest (CD)(Optical Society of America (2011), paper QThQ6.

W. Liu, D. N. Neshev, I. V. Shadrivov, A. E. Miroshnichenko, and Y. S. Kivshar, Opt. Lett. 36, 1164 (2011).
[CrossRef] [PubMed]

Pertsch, T.

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, in Quantum Electronics and Laser Science Conference, OSA Technical Digest (CD)(Optical Society of America (2011), paper QThQ6.

Polynkin, P.

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
[CrossRef] [PubMed]

Quidant, R.

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

Raz, O.

E. Greenfield, M. Segev, W. Walasik, and O. Raz, Phys. Rev. Lett. 106, 213902 (2011).
[CrossRef] [PubMed]

Renninger, W.

A. Chong, W. Renninger, D. N. Christodoulides, and F. W. Wise, Nat. Photon. 4, 103 (2010).
[CrossRef]

Righini, M.

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

Salandrino, A.

Segev, M.

E. Greenfield, M. Segev, W. Walasik, and O. Raz, Phys. Rev. Lett. 106, 213902 (2011).
[CrossRef] [PubMed]

Shadrivov, I. V.

Siviloglou, G. A.

Stein, B.

Valentine, J.

T. Zentgraf, Y. Liu, M. H. Mikkelsen, J. Valentine, and X. Zhang, Nat. Nanotechnol. 6, 151 (2011).
[CrossRef] [PubMed]

Volkov, V. S.

V. S. Volkov, E. Devaux, J.-Y. Laluet, T. W. Ebbesen, and S. I. Bozhevolnyi, Nature 440, 508 (2006).
[CrossRef] [PubMed]

Walasik, W.

E. Greenfield, M. Segev, W. Walasik, and O. Raz, Phys. Rev. Lett. 106, 213902 (2011).
[CrossRef] [PubMed]

Weeber, J. -C.

Wise, F. W.

A. Chong, W. Renninger, D. N. Christodoulides, and F. W. Wise, Nat. Photon. 4, 103 (2010).
[CrossRef]

Xu, J.

Zelenina, A. S.

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

Zentgraf, T.

T. Zentgraf, Y. Liu, M. H. Mikkelsen, J. Valentine, and X. Zhang, Nat. Nanotechnol. 6, 151 (2011).
[CrossRef] [PubMed]

Zhang, P.

Zhang, X.

T. Zentgraf, Y. Liu, M. H. Mikkelsen, J. Valentine, and X. Zhang, Nat. Nanotechnol. 6, 151 (2011).
[CrossRef] [PubMed]

Am. J. Phys. (1)

M. V. Berry and N. L. Balazs, Am. J. Phys. 47, 264(1979).
[CrossRef]

Nat. Nanotechnol. (1)

T. Zentgraf, Y. Liu, M. H. Mikkelsen, J. Valentine, and X. Zhang, Nat. Nanotechnol. 6, 151 (2011).
[CrossRef] [PubMed]

Nat. Photon. (2)

A. Chong, W. Renninger, D. N. Christodoulides, and F. W. Wise, Nat. Photon. 4, 103 (2010).
[CrossRef]

J. Baumgartl, M. Mazilu, and K. Dholakia, Nat. Photon. 2, 675 (2008).
[CrossRef]

Nat. Phys. (1)

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

Nature (2)

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

V. S. Volkov, E. Devaux, J.-Y. Laluet, T. W. Ebbesen, and S. I. Bozhevolnyi, Nature 440, 508 (2006).
[CrossRef] [PubMed]

Opt. Express (2)

Opt. Lett. (5)

Phys. Rev. Lett. (3)

E. Greenfield, M. Segev, W. Walasik, and O. Raz, Phys. Rev. Lett. 106, 213902 (2011).
[CrossRef] [PubMed]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

J. Durnin, J. J. Miceli Jr., and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Science (1)

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
[CrossRef] [PubMed]

Other (1)

A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, in Quantum Electronics and Laser Science Conference, OSA Technical Digest (CD)(Optical Society of America (2011), paper QThQ6.

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Figures (4)

Fig. 1
Fig. 1

Experimental setup for excitation and observation of PABs. SLM, spatial light modulator; O, objective lens; CCD, charge-coupled device; PC, computer. Inset, (a) and (b) depict the mechanical displacements of O 1 along the transverse x axis ( δ ox , resulting a tilt angle θ) and the longitudinal z axis ( δ oz ); (c) illustrates the computer controlled displacements of the cubic phase mask δ m and input Gaussian beam δ g in the SLM with respect to the optical axis of O 1 .

Fig. 2
Fig. 2

(a) Typical free-space Airy beam projected onto the grating, (b) the SEM image of the grating coupler, (c), (d) leakage radiation microcopy results showing the propagations of a PAB and a Gaussian beam launched from the grating, respectively, (e), (f) the numerical simulation results corresponding to (c) and (d). The dashed lines in (c) and (d) serve for eye guidance. The scale bar shows 5 μm .

Fig. 3
Fig. 3

(a), (b) Experimental and (c), (d) numerical results of the generated PABs excited under different incident angles at θ = 7 ° [(a), (c)] and θ = 28 ° [(b), (d)]. The scale bar shows 5 μm .

Fig. 4
Fig. 4

(a), (c) Experimental and (b), (d) numerical results of the PABs generated in the presence of a 25 μm longitudinal displacement of the objective lens O 1 toward the grating coupler [(a), (b)] and transverse displacements of the cubic phase mask ( 3 mm ) and the input Gaussian beam ( 1 mm ) in the SLM [(c), (d)]. The added gray solid circles in (c) and (d) mimic obstacles. The scale bar shows 5 μm .

Equations (2)

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

ϕ ( x , y ) = C · F · G · Q · Ai [ x ( v + δ m ) ( y δ oz ) ( y δ oz ) 2 / 4 + i α ( y δ oz 2 δ g + 2 δ m ) ] ,
x = ( v + δ m ) ( y δ oz ) + ( y δ oz ) 2 / 4 ,

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