Abstract

We perform rigorous simulations of hybrid long-range modes guided by a central metal core and a two-dimensional dielectric slab. We show that these modes are subject to fewer limitations than conventional long-range plasmon modes in terms of field confinement and guiding performance. These hybrid modes may offer substantial improvements for integrated plasmonic components, as illustrated here by the consideration of 90° bends.

© 2007 Optical Society of America

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References

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  1. H. Raether, Surface Plasmons (Springer-Verlag, 1988).
  2. W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
    [CrossRef] [PubMed]
  3. W. L. Barnes, J. Opt. A 8, S87 (2006).
    [CrossRef]
  4. P. Berini, Opt. Express 14, 13030 (2006).
    [CrossRef] [PubMed]
  5. D. Sarid, Phys. Rev. Lett. 47, 1927 (1981).
    [CrossRef]
  6. P. Berini, Phys. Rev. B 61, 10484 (2001).
    [CrossRef]
  7. P. Berini, Phys. Rev. B 63, 125417 (2001).
    [CrossRef]
  8. R. Charbonneau, P. Berini, E. Berolo, and E. Lisicka-Shrzek, Opt. Lett. 52, 844 (2000).
    [CrossRef]
  9. P. Berini, R. Charbonneau, N. Lahoud, and G. Mattiussi, J. Appl. Phys. 98, 043109 (2005).
    [CrossRef]
  10. R. Charbonneau, C. Scales, I. Breukelaar, S. Fafard, N. Lahoud, G. Mattiussi, and P. Berini, J. Lightwave Technol. 24, 477 (2006).
    [CrossRef]
  11. T. Nikolajsen, K. Leosson, and S. I. Bozhevolnyi, Appl. Phys. Lett. 85, 5833 (2004).
    [CrossRef]
  12. T. Nikolajsen, K. Leosson, I. Salakhutdinov, and S. I. Bozhevolnyi, Appl. Phys. Lett. 82, 668 (2003).
    [CrossRef]
  13. A. Boltasseva, T. Nikolajsen, K. Leosson, K. Kjaer, M. S. Larsen, and S. I. Bozhevolnyi, J. Lightwave Technol. 23, 413 (2005).
    [CrossRef]
  14. J. Guo and R. Adato, Opt. Express 14, 12409 (2006).
    [CrossRef] [PubMed]
  15. A. Degiron and D. R. Smith, Opt. Express 14, 1611 (2006).
    [CrossRef] [PubMed]
  16. C. Dellagiacoma, O. J. F. Martin, A. Degiron, J. J. Mock, and D. R. Smith, "Simulations of integrated optical circuits combining dielectric and plasmonic elements," (manuscript in preparation).
  17. P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
    [CrossRef]
  18. P. Berini, Opt. Express 14, 2365 (2006).
    [CrossRef] [PubMed]

2006 (6)

2005 (2)

2004 (1)

T. Nikolajsen, K. Leosson, and S. I. Bozhevolnyi, Appl. Phys. Lett. 85, 5833 (2004).
[CrossRef]

2003 (2)

T. Nikolajsen, K. Leosson, I. Salakhutdinov, and S. I. Bozhevolnyi, Appl. Phys. Lett. 82, 668 (2003).
[CrossRef]

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

2001 (2)

P. Berini, Phys. Rev. B 61, 10484 (2001).
[CrossRef]

P. Berini, Phys. Rev. B 63, 125417 (2001).
[CrossRef]

2000 (1)

R. Charbonneau, P. Berini, E. Berolo, and E. Lisicka-Shrzek, Opt. Lett. 52, 844 (2000).
[CrossRef]

1981 (1)

D. Sarid, Phys. Rev. Lett. 47, 1927 (1981).
[CrossRef]

1972 (1)

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Adato, R.

Barnes, W. L.

W. L. Barnes, J. Opt. A 8, S87 (2006).
[CrossRef]

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

Berini, P.

P. Berini, Opt. Express 14, 13030 (2006).
[CrossRef] [PubMed]

R. Charbonneau, C. Scales, I. Breukelaar, S. Fafard, N. Lahoud, G. Mattiussi, and P. Berini, J. Lightwave Technol. 24, 477 (2006).
[CrossRef]

P. Berini, Opt. Express 14, 2365 (2006).
[CrossRef] [PubMed]

P. Berini, R. Charbonneau, N. Lahoud, and G. Mattiussi, J. Appl. Phys. 98, 043109 (2005).
[CrossRef]

P. Berini, Phys. Rev. B 63, 125417 (2001).
[CrossRef]

P. Berini, Phys. Rev. B 61, 10484 (2001).
[CrossRef]

R. Charbonneau, P. Berini, E. Berolo, and E. Lisicka-Shrzek, Opt. Lett. 52, 844 (2000).
[CrossRef]

Berolo, E.

R. Charbonneau, P. Berini, E. Berolo, and E. Lisicka-Shrzek, Opt. Lett. 52, 844 (2000).
[CrossRef]

Boltasseva, A.

Bozhevolnyi, S. I.

A. Boltasseva, T. Nikolajsen, K. Leosson, K. Kjaer, M. S. Larsen, and S. I. Bozhevolnyi, J. Lightwave Technol. 23, 413 (2005).
[CrossRef]

T. Nikolajsen, K. Leosson, and S. I. Bozhevolnyi, Appl. Phys. Lett. 85, 5833 (2004).
[CrossRef]

T. Nikolajsen, K. Leosson, I. Salakhutdinov, and S. I. Bozhevolnyi, Appl. Phys. Lett. 82, 668 (2003).
[CrossRef]

Breukelaar, I.

Charbonneau, R.

R. Charbonneau, C. Scales, I. Breukelaar, S. Fafard, N. Lahoud, G. Mattiussi, and P. Berini, J. Lightwave Technol. 24, 477 (2006).
[CrossRef]

P. Berini, R. Charbonneau, N. Lahoud, and G. Mattiussi, J. Appl. Phys. 98, 043109 (2005).
[CrossRef]

R. Charbonneau, P. Berini, E. Berolo, and E. Lisicka-Shrzek, Opt. Lett. 52, 844 (2000).
[CrossRef]

Christy, R. W.

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Degiron, A.

A. Degiron and D. R. Smith, Opt. Express 14, 1611 (2006).
[CrossRef] [PubMed]

C. Dellagiacoma, O. J. F. Martin, A. Degiron, J. J. Mock, and D. R. Smith, "Simulations of integrated optical circuits combining dielectric and plasmonic elements," (manuscript in preparation).

Dellagiacoma, C.

C. Dellagiacoma, O. J. F. Martin, A. Degiron, J. J. Mock, and D. R. Smith, "Simulations of integrated optical circuits combining dielectric and plasmonic elements," (manuscript in preparation).

Dereux, A.

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

Ebbesen, T. W.

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

Fafard, S.

Guo, J.

Johnson, P. B.

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Kjaer, K.

Lahoud, N.

Larsen, M. S.

Leosson, K.

A. Boltasseva, T. Nikolajsen, K. Leosson, K. Kjaer, M. S. Larsen, and S. I. Bozhevolnyi, J. Lightwave Technol. 23, 413 (2005).
[CrossRef]

T. Nikolajsen, K. Leosson, and S. I. Bozhevolnyi, Appl. Phys. Lett. 85, 5833 (2004).
[CrossRef]

T. Nikolajsen, K. Leosson, I. Salakhutdinov, and S. I. Bozhevolnyi, Appl. Phys. Lett. 82, 668 (2003).
[CrossRef]

Lisicka-Shrzek, E.

R. Charbonneau, P. Berini, E. Berolo, and E. Lisicka-Shrzek, Opt. Lett. 52, 844 (2000).
[CrossRef]

Martin, O. J. F.

C. Dellagiacoma, O. J. F. Martin, A. Degiron, J. J. Mock, and D. R. Smith, "Simulations of integrated optical circuits combining dielectric and plasmonic elements," (manuscript in preparation).

Mattiussi, G.

Mock, J. J.

C. Dellagiacoma, O. J. F. Martin, A. Degiron, J. J. Mock, and D. R. Smith, "Simulations of integrated optical circuits combining dielectric and plasmonic elements," (manuscript in preparation).

Nikolajsen, T.

A. Boltasseva, T. Nikolajsen, K. Leosson, K. Kjaer, M. S. Larsen, and S. I. Bozhevolnyi, J. Lightwave Technol. 23, 413 (2005).
[CrossRef]

T. Nikolajsen, K. Leosson, and S. I. Bozhevolnyi, Appl. Phys. Lett. 85, 5833 (2004).
[CrossRef]

T. Nikolajsen, K. Leosson, I. Salakhutdinov, and S. I. Bozhevolnyi, Appl. Phys. Lett. 82, 668 (2003).
[CrossRef]

Raether, H.

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

Salakhutdinov, I.

T. Nikolajsen, K. Leosson, I. Salakhutdinov, and S. I. Bozhevolnyi, Appl. Phys. Lett. 82, 668 (2003).
[CrossRef]

Sarid, D.

D. Sarid, Phys. Rev. Lett. 47, 1927 (1981).
[CrossRef]

Scales, C.

Smith, D. R.

A. Degiron and D. R. Smith, Opt. Express 14, 1611 (2006).
[CrossRef] [PubMed]

C. Dellagiacoma, O. J. F. Martin, A. Degiron, J. J. Mock, and D. R. Smith, "Simulations of integrated optical circuits combining dielectric and plasmonic elements," (manuscript in preparation).

Appl. Phys. Lett. (2)

T. Nikolajsen, K. Leosson, and S. I. Bozhevolnyi, Appl. Phys. Lett. 85, 5833 (2004).
[CrossRef]

T. Nikolajsen, K. Leosson, I. Salakhutdinov, and S. I. Bozhevolnyi, Appl. Phys. Lett. 82, 668 (2003).
[CrossRef]

J. Appl. Phys. (1)

P. Berini, R. Charbonneau, N. Lahoud, and G. Mattiussi, J. Appl. Phys. 98, 043109 (2005).
[CrossRef]

J. Lightwave Technol. (2)

J. Opt. A (1)

W. L. Barnes, J. Opt. A 8, S87 (2006).
[CrossRef]

Nature (1)

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

Opt. Express (4)

Opt. Lett. (1)

R. Charbonneau, P. Berini, E. Berolo, and E. Lisicka-Shrzek, Opt. Lett. 52, 844 (2000).
[CrossRef]

Phys. Rev. B (3)

P. Berini, Phys. Rev. B 61, 10484 (2001).
[CrossRef]

P. Berini, Phys. Rev. B 63, 125417 (2001).
[CrossRef]

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Phys. Rev. Lett. (1)

D. Sarid, Phys. Rev. Lett. 47, 1927 (1981).
[CrossRef]

Other (2)

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

C. Dellagiacoma, O. J. F. Martin, A. Degiron, J. J. Mock, and D. R. Smith, "Simulations of integrated optical circuits combining dielectric and plasmonic elements," (manuscript in preparation).

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Figures (3)

Fig. 1
Fig. 1

Geometry and E y field component for the fundamental long-range mode of (a) a straight Au strip of rectangular cross section ( w = 6 μ m , t = 10 nm ) in a BCB layer of thickness 1.6 μ m ; (b) the same Au strip in an infinite volume of BCB; (c) a curved Au strip of rectangular cross section ( w = 6 μ m , t = 10 nm , r 0 = 1 mm ) in a BCB layer of thickness 1.6 μ m .

Fig. 2
Fig. 2

(a) Propagation distance of the fundamental long-range mode as a function of r 0 . Black curve, Au strip ( w = 6 μ m , t = 10 nm ) in a BCB layer of thickness 1.6 μ m ; grey curve, same strip, but in an infinite volume of BCB; dashed–dotted curve, Au strip ( w = 6 μ m , t = 19.918 nm ) in an infinite volume of BCB; dashed curve, Au strip ( w = 6 μ m , t = 32.5 nm ) in an infinite volume of BCB. (b) Total losses after the mode has turned a 90 ° angle for the same structures.

Fig. 3
Fig. 3

Vertical field profile for the modes examined in Fig. 2 (the same conventions are used). The arrow shows the position of the BCB–air interface for the hybrid mode. This graph only considers the straight waveguide case.

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