Abstract

Formation of a novel hybrid-vector spatial plasmon–soliton in a Kerr slab embedded between metal plates is predicted and analyzed with a modified nonlinear Schrodinger equation encompassing hybrid-vector field characteristics. Assisted by the transverse plasmonic effect, the self-trapping dimension of the plasmon–soliton was substantially compressed (compared with the dielectrically cladded slab case) when reducing the slab width. The practical limitation of the plasmon–soliton size reduction is determined by available nonlinear materials and metal loss. For the extreme reported values of nonlinear index change, we predict a soliton with a cross section of 300nm×30nm (average dimension of 100nm).

© 2007 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. P. Ginzburg, E. Feigenbaum, and M. Orenstein, in LEOS Annual Meeting (LEOS, 2005), paper TuZ5.
  2. F. Kusonoki, T. Yotsuya, J. Takahara, and T. Kobayashi, Appl. Phys. Lett. 86, 211101 (2005).
    [CrossRef]
  3. J. S. Aitchison, Y. Silberberg, A. M. Weiner, D. E. Leaird, M. K. Oliver, J. L. Jackel, E. M. Vogel, and P. W. E. Smith, J. Opt. Soc. Am. B 8, 1290 (1991).
    [CrossRef]
  4. R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
    [CrossRef]
  5. D. Mihalache, M. Bertolotti, and C. Sibilia, Prog. Opt. 27, 229 (1989).
  6. Y. Chen, Phys. Rev. A 44, 7524 (1991).
    [CrossRef] [PubMed]
  7. E. Granot, S. Strenklar, Y. Isbi, B. Malomed, and A. Lewis, Opt. Lett. 22, 1290 (1997).
    [CrossRef]
  8. A. Ciattoni, B. Crosignani, P. DiPorto, and A. Yariv, J. Opt. Soc. Am. B 22, 1384 (2005).
    [CrossRef]
  9. R. A. Sammut, C. Pask, and Q. Y. Li, J. Opt. Soc. Am. B 10, 485 (1993).
    [CrossRef]
  10. L. Brzozowski, E. H. Sargent, A. Spring Thorpe, and M. Extavour, Appl. Phys. Lett. 82, 4429 (2003).
    [CrossRef]
  11. A. M. Akulshin, A. I. Sidorov, R. J. McLean, and P. Hannaford, J. Opt. B: Quantum Semiclassical Opt. 6, 491 (2004).
    [CrossRef]
  12. J. S. Aitchison, A. M. Weiner, Y. Silberberg, M. K. Oliver, J. L. Jackel, D. E. Leaird, E. M. Vogel, and P. W. E. Smith, Opt. Lett. 15, 471 (1990).
    [CrossRef] [PubMed]
  13. H. Kishida, H. Matsuzaki, H. Okamoto, T. Manabe, M. Yamashita, Y. Taguchi, and Y. Tokura, Nature 405, 929 (2002), and references therein.
  14. M. P. Nezhad, K. Tetz, and Y. Fainman, Opt. Express 12, 4072 (2004).
    [CrossRef] [PubMed]
  15. E. D. Palik, Handbook of Optical Constants of Solids (Academic, 1998).

2005 (2)

F. Kusonoki, T. Yotsuya, J. Takahara, and T. Kobayashi, Appl. Phys. Lett. 86, 211101 (2005).
[CrossRef]

A. Ciattoni, B. Crosignani, P. DiPorto, and A. Yariv, J. Opt. Soc. Am. B 22, 1384 (2005).
[CrossRef]

2004 (2)

M. P. Nezhad, K. Tetz, and Y. Fainman, Opt. Express 12, 4072 (2004).
[CrossRef] [PubMed]

A. M. Akulshin, A. I. Sidorov, R. J. McLean, and P. Hannaford, J. Opt. B: Quantum Semiclassical Opt. 6, 491 (2004).
[CrossRef]

2003 (1)

L. Brzozowski, E. H. Sargent, A. Spring Thorpe, and M. Extavour, Appl. Phys. Lett. 82, 4429 (2003).
[CrossRef]

2002 (1)

H. Kishida, H. Matsuzaki, H. Okamoto, T. Manabe, M. Yamashita, Y. Taguchi, and Y. Tokura, Nature 405, 929 (2002), and references therein.

1997 (1)

1993 (1)

1991 (2)

1990 (1)

1989 (1)

D. Mihalache, M. Bertolotti, and C. Sibilia, Prog. Opt. 27, 229 (1989).

1964 (1)

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[CrossRef]

Aitchison, J. S.

Akulshin, A. M.

A. M. Akulshin, A. I. Sidorov, R. J. McLean, and P. Hannaford, J. Opt. B: Quantum Semiclassical Opt. 6, 491 (2004).
[CrossRef]

Bertolotti, M.

D. Mihalache, M. Bertolotti, and C. Sibilia, Prog. Opt. 27, 229 (1989).

Brzozowski, L.

L. Brzozowski, E. H. Sargent, A. Spring Thorpe, and M. Extavour, Appl. Phys. Lett. 82, 4429 (2003).
[CrossRef]

Chen, Y.

Y. Chen, Phys. Rev. A 44, 7524 (1991).
[CrossRef] [PubMed]

Chiao, R. Y.

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[CrossRef]

Ciattoni, A.

Crosignani, B.

DiPorto, P.

Extavour, M.

L. Brzozowski, E. H. Sargent, A. Spring Thorpe, and M. Extavour, Appl. Phys. Lett. 82, 4429 (2003).
[CrossRef]

Fainman, Y.

Feigenbaum, E.

P. Ginzburg, E. Feigenbaum, and M. Orenstein, in LEOS Annual Meeting (LEOS, 2005), paper TuZ5.

Garmire, E.

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[CrossRef]

Ginzburg, P.

P. Ginzburg, E. Feigenbaum, and M. Orenstein, in LEOS Annual Meeting (LEOS, 2005), paper TuZ5.

Granot, E.

Hannaford, P.

A. M. Akulshin, A. I. Sidorov, R. J. McLean, and P. Hannaford, J. Opt. B: Quantum Semiclassical Opt. 6, 491 (2004).
[CrossRef]

Isbi, Y.

Jackel, J. L.

Kishida, H.

H. Kishida, H. Matsuzaki, H. Okamoto, T. Manabe, M. Yamashita, Y. Taguchi, and Y. Tokura, Nature 405, 929 (2002), and references therein.

Kobayashi, T.

F. Kusonoki, T. Yotsuya, J. Takahara, and T. Kobayashi, Appl. Phys. Lett. 86, 211101 (2005).
[CrossRef]

Kusonoki, F.

F. Kusonoki, T. Yotsuya, J. Takahara, and T. Kobayashi, Appl. Phys. Lett. 86, 211101 (2005).
[CrossRef]

Leaird, D. E.

Lewis, A.

Li, Q. Y.

Malomed, B.

Manabe, T.

H. Kishida, H. Matsuzaki, H. Okamoto, T. Manabe, M. Yamashita, Y. Taguchi, and Y. Tokura, Nature 405, 929 (2002), and references therein.

Matsuzaki, H.

H. Kishida, H. Matsuzaki, H. Okamoto, T. Manabe, M. Yamashita, Y. Taguchi, and Y. Tokura, Nature 405, 929 (2002), and references therein.

McLean, R. J.

A. M. Akulshin, A. I. Sidorov, R. J. McLean, and P. Hannaford, J. Opt. B: Quantum Semiclassical Opt. 6, 491 (2004).
[CrossRef]

Mihalache, D.

D. Mihalache, M. Bertolotti, and C. Sibilia, Prog. Opt. 27, 229 (1989).

Nezhad, M. P.

Okamoto, H.

H. Kishida, H. Matsuzaki, H. Okamoto, T. Manabe, M. Yamashita, Y. Taguchi, and Y. Tokura, Nature 405, 929 (2002), and references therein.

Oliver, M. K.

Orenstein, M.

P. Ginzburg, E. Feigenbaum, and M. Orenstein, in LEOS Annual Meeting (LEOS, 2005), paper TuZ5.

Palik, E. D.

E. D. Palik, Handbook of Optical Constants of Solids (Academic, 1998).

Pask, C.

Sammut, R. A.

Sargent, E. H.

L. Brzozowski, E. H. Sargent, A. Spring Thorpe, and M. Extavour, Appl. Phys. Lett. 82, 4429 (2003).
[CrossRef]

Sibilia, C.

D. Mihalache, M. Bertolotti, and C. Sibilia, Prog. Opt. 27, 229 (1989).

Sidorov, A. I.

A. M. Akulshin, A. I. Sidorov, R. J. McLean, and P. Hannaford, J. Opt. B: Quantum Semiclassical Opt. 6, 491 (2004).
[CrossRef]

Silberberg, Y.

Smith, P. W. E.

Spring Thorpe, A.

L. Brzozowski, E. H. Sargent, A. Spring Thorpe, and M. Extavour, Appl. Phys. Lett. 82, 4429 (2003).
[CrossRef]

Strenklar, S.

Taguchi, Y.

H. Kishida, H. Matsuzaki, H. Okamoto, T. Manabe, M. Yamashita, Y. Taguchi, and Y. Tokura, Nature 405, 929 (2002), and references therein.

Takahara, J.

F. Kusonoki, T. Yotsuya, J. Takahara, and T. Kobayashi, Appl. Phys. Lett. 86, 211101 (2005).
[CrossRef]

Tetz, K.

Tokura, Y.

H. Kishida, H. Matsuzaki, H. Okamoto, T. Manabe, M. Yamashita, Y. Taguchi, and Y. Tokura, Nature 405, 929 (2002), and references therein.

Townes, C. H.

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[CrossRef]

Vogel, E. M.

Weiner, A. M.

Yamashita, M.

H. Kishida, H. Matsuzaki, H. Okamoto, T. Manabe, M. Yamashita, Y. Taguchi, and Y. Tokura, Nature 405, 929 (2002), and references therein.

Yariv, A.

Yotsuya, T.

F. Kusonoki, T. Yotsuya, J. Takahara, and T. Kobayashi, Appl. Phys. Lett. 86, 211101 (2005).
[CrossRef]

Appl. Phys. Lett. (2)

F. Kusonoki, T. Yotsuya, J. Takahara, and T. Kobayashi, Appl. Phys. Lett. 86, 211101 (2005).
[CrossRef]

L. Brzozowski, E. H. Sargent, A. Spring Thorpe, and M. Extavour, Appl. Phys. Lett. 82, 4429 (2003).
[CrossRef]

J. Opt. B: Quantum Semiclassical Opt. (1)

A. M. Akulshin, A. I. Sidorov, R. J. McLean, and P. Hannaford, J. Opt. B: Quantum Semiclassical Opt. 6, 491 (2004).
[CrossRef]

J. Opt. Soc. Am. B (3)

Nature (1)

H. Kishida, H. Matsuzaki, H. Okamoto, T. Manabe, M. Yamashita, Y. Taguchi, and Y. Tokura, Nature 405, 929 (2002), and references therein.

Opt. Express (1)

Opt. Lett. (2)

Phys. Rev. A (1)

Y. Chen, Phys. Rev. A 44, 7524 (1991).
[CrossRef] [PubMed]

Phys. Rev. Lett. (1)

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[CrossRef]

Prog. Opt. (1)

D. Mihalache, M. Bertolotti, and C. Sibilia, Prog. Opt. 27, 229 (1989).

Other (2)

P. Ginzburg, E. Feigenbaum, and M. Orenstein, in LEOS Annual Meeting (LEOS, 2005), paper TuZ5.

E. D. Palik, Handbook of Optical Constants of Solids (Academic, 1998).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (2)

Fig. 1
Fig. 1

(a) Plasmonic gap dispersion: even (black solid) and odd (blue dashed) modes, single surface mode (dotted–dashed red). (b) D eff versus thickness of the Kerr slab embedded in metal (lower blue) and air (upper red), λ 0 = 820 nm . λ plasma = 137 nm , n 0 = 1.55 .

Fig. 2
Fig. 2

Intensity distributions of plasmon–soliton in a Kerr medium embedded within silver layers[15]: (a) Δ n = 0.005 , λ 0 = 1550 nm , d = 1 μ m , ϵ M = 103.5 i 10 , D eff = 2.4 μ m . (b) Δ n = 0.1 , λ 0 = 820 nm , d = 30 nm , ϵ M = 30.2 i 1.6 , D eff = 95 nm . (c) Δ n = 0.1 , λ 0 = 1550 nm , d = 100 nm , ϵ M = 103.5 i 10 , D eff = 283 nm , n 0 = 1.5 .

Equations (7)

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

× × E k 2 E = 4 k 2 n 2 3 n 0 [ E 2 E + ( E E ) E * 2 ] ,
2 j β E 0 A z + [ ( k 2 β 2 ) E 0 + E 0 ] A + E 0 A y y + 4 k 2 n 2 3 n 0 [ E 0 2 E 0 + ( E 0 E 0 ) E 0 * 2 ] A 2 A = 0 .
j 2 β A z + [ ( k 2 β 2 ) + I 2 I ] A + A y y + 4 k 2 n 2 I 3 3 n 0 I A 2 A = 0 ,
I = + E 0 2 d x ; I 2 = + E 0 * E 0 d x ,
I 3 = core { E 0 2 + 1 2 ( E 0 E 0 ) ( E 0 * E 0 * ) } d x .
j a z + ( 1 2 β ) a y y + ( 2 3 β ) k 0 2 n 0 n 2 ( I 3 I ) a 2 a = 0 .
Δ y η = 3 I ( 16 π 2 n 0 n 2 I 3 ) λ 0 ;

Metrics