Abstract

We demonstrate, both theoretically and numerically, the efficient manipulation of plasmonic Airy beams in linear optical potentials produced by a wedged metal–dielectric–metal structure. By varying the angle between the metallic plates, we can accelerate, compensate, or reverse the self-deflection of the plasmonic Airy beams without compromising the self-healing properties. We also show that in the linear potentials the Airy plasmons of different wavelengths could be routed into different directions, creating new opportunities for optical steering and manipulation.

© 2011 Optical Society of America

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  1. G. A. Siviloglou and D. N. Christodoulides, Opt. Lett. 32, 979 (2007).
    [CrossRef] [PubMed]
  2. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
    [CrossRef]
  3. M. V. Berry and N. L. Balazs, Am. J. Phys. 47, 264 (1979).
    [CrossRef]
  4. J. Baumgartl, M. Mazilu, and K. Dholakia, Nat. Photon. 2, 675 (2008).
    [CrossRef]
  5. P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
    [CrossRef] [PubMed]
  6. A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, Nat. Photon. 4, 103 (2010).
    [CrossRef]
  7. D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, Phys. Rev. Lett. 105, 253901 (2010).
    [CrossRef]
  8. A. Salandrino and D. N. Christodoulides, Opt. Lett. 35, 2082 (2010).
    [CrossRef] [PubMed]
  9. T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, Nat. Photon. 3, 395 (2009).
    [CrossRef]
  10. I. Dolev, T. Ellenbogen, and A. Arie, Opt. Lett. 35, 1581 (2010).
    [CrossRef] [PubMed]
  11. S. Jia, J. Lee, J. W. Fleischer, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 104, 253904 (2010).
    [CrossRef] [PubMed]
  12. Y. Hu, P. Zhang, C. B. Lou, S. Huang, J. J. Xu, and Z. G. Chen, Opt. Lett. 35, 2260 (2010).
    [CrossRef] [PubMed]
  13. C. L. Lin, T. C. Hsiung, and M. J. Huang, Europhys. Lett. 83, 30002 (2008).
    [CrossRef]
  14. S. I. Bozhevolnyi and K. V. Nerkararyan, Opt. Express 17, 10327 (2009).
    [CrossRef] [PubMed]
  15. W. Liu, D. N. Neshev, A. E. Miroshnichenko, I. V. Shadrivov, and Y. S. Kivshar, Phys. Rev. B 83, 073404 (2011).
    [CrossRef]
  16. F. Gori, M. Santarsiero, R. Borghi, and G. Guattari, Eur. J. Phys. 20, 477 (1999).
    [CrossRef]
  17. C. Bernardini, F. Gori, and M. Santarsiero, Eur. J. Phys. 16, 58 (1995).
    [CrossRef]
  18. J. Broky, G. A. Siviloglou, A. Dogariu, and D. N. Christodoulides, Opt. Express 16, 12880 (2008).
    [CrossRef] [PubMed]
  19. M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge University Press, 1999).

2011 (1)

W. Liu, D. N. Neshev, A. E. Miroshnichenko, I. V. Shadrivov, and Y. S. Kivshar, Phys. Rev. B 83, 073404 (2011).
[CrossRef]

2010 (6)

I. Dolev, T. Ellenbogen, and A. Arie, Opt. Lett. 35, 1581 (2010).
[CrossRef] [PubMed]

S. Jia, J. Lee, J. W. Fleischer, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 104, 253904 (2010).
[CrossRef] [PubMed]

Y. Hu, P. Zhang, C. B. Lou, S. Huang, J. J. Xu, and Z. G. Chen, Opt. Lett. 35, 2260 (2010).
[CrossRef] [PubMed]

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

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, Phys. Rev. Lett. 105, 253901 (2010).
[CrossRef]

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

2009 (3)

T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, Nat. Photon. 3, 395 (2009).
[CrossRef]

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

S. I. Bozhevolnyi and K. V. Nerkararyan, Opt. Express 17, 10327 (2009).
[CrossRef] [PubMed]

2008 (3)

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

C. L. Lin, T. C. Hsiung, and M. J. Huang, Europhys. Lett. 83, 30002 (2008).
[CrossRef]

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

2007 (2)

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]

1999 (1)

F. Gori, M. Santarsiero, R. Borghi, and G. Guattari, Eur. J. Phys. 20, 477 (1999).
[CrossRef]

1995 (1)

C. Bernardini, F. Gori, and M. Santarsiero, Eur. J. Phys. 16, 58 (1995).
[CrossRef]

1979 (1)

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

Abdollahpour, D.

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, Phys. Rev. Lett. 105, 253901 (2010).
[CrossRef]

Arie, A.

I. Dolev, T. Ellenbogen, and A. Arie, Opt. Lett. 35, 1581 (2010).
[CrossRef] [PubMed]

T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, Nat. Photon. 3, 395 (2009).
[CrossRef]

Balazs, N. L.

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

Baumgartl, J.

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

Bernardini, C.

C. Bernardini, F. Gori, and M. Santarsiero, Eur. J. Phys. 16, 58 (1995).
[CrossRef]

Berry, M. V.

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

Borghi, R.

F. Gori, M. Santarsiero, R. Borghi, and G. Guattari, Eur. J. Phys. 20, 477 (1999).
[CrossRef]

Born, M.

M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge University Press, 1999).

Bozhevolnyi, S. I.

Broky, J.

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, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

Chen, Z. G.

Chong, A.

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

Christodoulides, D. N.

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

S. Jia, J. Lee, J. W. Fleischer, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 104, 253904 (2010).
[CrossRef] [PubMed]

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 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]

Dholakia, K.

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

Dogariu, A.

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, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

Dolev, I.

Ellenbogen, T.

I. Dolev, T. Ellenbogen, and A. Arie, Opt. Lett. 35, 1581 (2010).
[CrossRef] [PubMed]

T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, Nat. Photon. 3, 395 (2009).
[CrossRef]

Fleischer, J. W.

S. Jia, J. Lee, J. W. Fleischer, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 104, 253904 (2010).
[CrossRef] [PubMed]

Ganany-Padowicz, A.

T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, Nat. Photon. 3, 395 (2009).
[CrossRef]

Gori, F.

F. Gori, M. Santarsiero, R. Borghi, and G. Guattari, Eur. J. Phys. 20, 477 (1999).
[CrossRef]

C. Bernardini, F. Gori, and M. Santarsiero, Eur. J. Phys. 16, 58 (1995).
[CrossRef]

Guattari, G.

F. Gori, M. Santarsiero, R. Borghi, and G. Guattari, Eur. J. Phys. 20, 477 (1999).
[CrossRef]

Hsiung, T. C.

C. L. Lin, T. C. Hsiung, and M. J. Huang, Europhys. Lett. 83, 30002 (2008).
[CrossRef]

Hu, Y.

Huang, M. J.

C. L. Lin, T. C. Hsiung, and M. J. Huang, Europhys. Lett. 83, 30002 (2008).
[CrossRef]

Huang, S.

Jia, S.

S. Jia, J. Lee, J. W. Fleischer, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 104, 253904 (2010).
[CrossRef] [PubMed]

Kivshar, Y. S.

W. Liu, D. N. Neshev, A. E. Miroshnichenko, I. V. Shadrivov, and Y. S. Kivshar, Phys. Rev. B 83, 073404 (2011).
[CrossRef]

Kolesik, M.

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

Lee, J.

S. Jia, J. Lee, J. W. Fleischer, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 104, 253904 (2010).
[CrossRef] [PubMed]

Lin, C. L.

C. L. Lin, T. C. Hsiung, and M. J. Huang, Europhys. Lett. 83, 30002 (2008).
[CrossRef]

Liu, W.

W. Liu, D. N. Neshev, A. E. Miroshnichenko, I. V. Shadrivov, and Y. S. Kivshar, Phys. Rev. B 83, 073404 (2011).
[CrossRef]

Lou, C. B.

Mazilu, M.

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

Miroshnichenko, A. E.

W. Liu, D. N. Neshev, A. E. Miroshnichenko, I. V. Shadrivov, and Y. S. Kivshar, Phys. Rev. B 83, 073404 (2011).
[CrossRef]

Moloney, J. V.

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

Nerkararyan, K. V.

Neshev, D. N.

W. Liu, D. N. Neshev, A. E. Miroshnichenko, I. V. Shadrivov, and Y. S. Kivshar, Phys. Rev. B 83, 073404 (2011).
[CrossRef]

Papazoglou, D. G.

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, Phys. Rev. Lett. 105, 253901 (2010).
[CrossRef]

Polynkin, P.

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

Renninger, W. H.

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

Salandrino, A.

Santarsiero, M.

F. Gori, M. Santarsiero, R. Borghi, and G. Guattari, Eur. J. Phys. 20, 477 (1999).
[CrossRef]

C. Bernardini, F. Gori, and M. Santarsiero, Eur. J. Phys. 16, 58 (1995).
[CrossRef]

Shadrivov, I. V.

W. Liu, D. N. Neshev, A. E. Miroshnichenko, I. V. Shadrivov, and Y. S. Kivshar, Phys. Rev. B 83, 073404 (2011).
[CrossRef]

Siviloglou, G. A.

S. Jia, J. Lee, J. W. Fleischer, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 104, 253904 (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 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]

Suntsov, S.

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, Phys. Rev. Lett. 105, 253901 (2010).
[CrossRef]

Tzortzakis, S.

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, Phys. Rev. Lett. 105, 253901 (2010).
[CrossRef]

Voloch-Bloch, N.

T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, Nat. Photon. 3, 395 (2009).
[CrossRef]

Wise, F. W.

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

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge University Press, 1999).

Xu, J. J.

Zhang, P.

Am. J. Phys. (1)

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

Eur. J. Phys. (2)

F. Gori, M. Santarsiero, R. Borghi, and G. Guattari, Eur. J. Phys. 20, 477 (1999).
[CrossRef]

C. Bernardini, F. Gori, and M. Santarsiero, Eur. J. Phys. 16, 58 (1995).
[CrossRef]

Europhys. Lett. (1)

C. L. Lin, T. C. Hsiung, and M. J. Huang, Europhys. Lett. 83, 30002 (2008).
[CrossRef]

Nat. Photon. (3)

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

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

T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, Nat. Photon. 3, 395 (2009).
[CrossRef]

Opt. Express (2)

Opt. Lett. (4)

Phys. Rev. B (1)

W. Liu, D. N. Neshev, A. E. Miroshnichenko, I. V. Shadrivov, and Y. S. Kivshar, Phys. Rev. B 83, 073404 (2011).
[CrossRef]

Phys. Rev. Lett. (3)

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

S. Jia, J. Lee, J. W. Fleischer, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. 104, 253904 (2010).
[CrossRef] [PubMed]

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, Phys. Rev. Lett. 105, 253901 (2010).
[CrossRef]

Science (1)

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

Other (1)

M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge University Press, 1999).

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Figures (3)

Fig. 1
Fig. 1

(a) Wedged metal–dielectric–metal structure with a tilting angle θ. The transverse field distribution is shown schematically below. (b) Positions of the main-lobe center of the plasmonic Airy beam for four tilting angles. Both theoretical (no losses, dashed curves) and numerical (with losses, solid curves) results are shown. Field distributions of the plasmonic Airy beam in the plane y = 0 : (c)–(e) theory, | ψ ( x , z ) | , and (f)–(h) numerical, | E | . The parameters are λ = 632.8 nm , h 0 = 60 nm , a = 0.1 , and x 0 = 500 nm . The corresponding critical angle is θ c = 0.175 ° .

Fig. 2
Fig. 2

Numerical results for the field distributions ( | E | ) of plasmonic Airy beams in linear optical potentials with perturbations for three tilting angles. An ellipsoid particle ( ϵ = 2.25 ) with ( R x , R y , R z ) = ( 0.1 , 0.025 , 0.1 ) μm is centered at ( x , y , z ) = ( 0.4 , 0.025 , 1 ) μm . Other parameters are the same as in Fig. 1.

Fig. 3
Fig. 3

(a) Critical angle versus wavelength in the range of 0.5 1.5 μm , (b)–(d) numerical results for the field distributions ( | E | ) of three plasmonic Airy beams of wavelengths 0.6, 1, and 1.4 μm presented in false colors. Parameters used are the same as in Fig. 1, with θ = 0.458 ° , which is the critical angle at λ = 1 μm [point (c)].

Equations (4)

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

n ( x ) n 0 α θ x / h 0 2 ,
i ψ ξ + f s ψ + 1 2 2 ψ s 2 = 0 ,
ψ ( s , ξ ) = 1 2 π i ξ exp [ i ( f s ξ f 2 ξ 3 6 ) ] + ψ ( χ , 0 ) exp ( i 2 ξ [ ( s f ξ 2 2 ) χ ] 2 ) d χ ,
ψ ( s , ξ ) = A i [ s 1 4 ( 1 + 2 f ) ξ 2 + i a ξ ] exp [ a ( s f ξ 2 2 ξ 2 2 ) ] exp [ i ( f 2 ξ 3 6 + f s ξ f ξ 3 4 ξ 3 12 + a 2 ξ 2 + s ξ 2 ) ] .

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