Abstract

We study the coupling of plasmons and Dyakonov surface waves propagating at the interfaces between isotropic-birefringent-metal layered structures. Efficient coupling is shown to occur with a proper choice of the crystal birefringence, the refractive index of the isotropic medium, and the light propagation direction relative to the crystal optical axis. In the case of low-loss metals, coupling efficiencies as high as 90% are predicted to be possible.

© 2012 Optical Society of America

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  1. J. A. Polo and A. Lakhtakia, Laser Photon. Rev. 5, 234 (2011).
    [CrossRef]
  2. D. Mihalache, J. Optoelectron. Adv. Mater. 13, 1055 (2011).
  3. W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
    [CrossRef]
  4. N. Kedei, D. J. Lundberg, A. Toth, P. Welburn, S. H. Garfield, and P. M. Blumberg, Cancer Res. 64, 3243 (2004).
    [CrossRef]
  5. D. A. Schultz, Curr. Opin. Biotechnol. 14, 13 (2003).
    [CrossRef]
  6. M. Specht, J. D. Pedarnig, W. M. Heckl, and T. W. Hänsch, Phys. Rev. Lett. 68, 476 (1992).
    [CrossRef]
  7. M. Righini, A. S. Zelenina, C. Girard, and R. Quidant, Nat. Phys. 3, 477 (2007).
    [CrossRef]
  8. H. Ditlbacher, J. R. Krenn, G. Schider, A. Leitner, and F. R. Aussenegg, Appl. Phys. Lett. 81, 1762 (2002).
    [CrossRef]
  9. L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, Phys. Rev. Lett. 90, 167401 (2003).
    [CrossRef]
  10. K. Kneipp, Y. Wang, H. Kneipp, L. T. Perelman, I. Itzkan, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 78, 1667 (1997).
    [CrossRef]
  11. D. J. Bergman and M. I. Stockman, Phys. Rev. Lett. 90, 027402 (2003).
    [CrossRef]
  12. N. I. Zheludev, S. L. Prosvirnin, N. Papasimakis, and V. A. Fedotov, Nat. Photon. 2, 351 (2008).
    [CrossRef]
  13. M. I. Dyakonov, Sov. Phys. JETP 67, 714 (1988).
    [CrossRef]
  14. O. Takayama, L.-C. Crasovan, D. Artigas, and L. Torner, Phys. Rev. Lett. 102, 043903 (2009).
    [CrossRef]
  15. R. Li, C. Cheng, F.-F. Ren, J. Chen, Y.-X. Fan, J. Ding, and H.-T. Wang, Appl. Phys. Lett. 92, 141115 (2008).
    [CrossRef]
  16. D. Artigas and L. Torner, Phys. Rev. Lett. 94, 013901 (2005).
    [CrossRef]
  17. D. K. Gramatrev and D. F. P. Pile, Appl. Phys. Lett. 85, 6323 (2004).
    [CrossRef]
  18. D. Artigas and F. Dios, IEEE J. Quantum Electron. 301587 (1994).
    [CrossRef]
  19. J. M. Montgomery and S. K. Gray, Phys. Rev. B 77, 125407 (2008).
    [CrossRef]

2011

J. A. Polo and A. Lakhtakia, Laser Photon. Rev. 5, 234 (2011).
[CrossRef]

D. Mihalache, J. Optoelectron. Adv. Mater. 13, 1055 (2011).

2009

O. Takayama, L.-C. Crasovan, D. Artigas, and L. Torner, Phys. Rev. Lett. 102, 043903 (2009).
[CrossRef]

2008

R. Li, C. Cheng, F.-F. Ren, J. Chen, Y.-X. Fan, J. Ding, and H.-T. Wang, Appl. Phys. Lett. 92, 141115 (2008).
[CrossRef]

N. I. Zheludev, S. L. Prosvirnin, N. Papasimakis, and V. A. Fedotov, Nat. Photon. 2, 351 (2008).
[CrossRef]

J. M. Montgomery and S. K. Gray, Phys. Rev. B 77, 125407 (2008).
[CrossRef]

2007

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

2005

D. Artigas and L. Torner, Phys. Rev. Lett. 94, 013901 (2005).
[CrossRef]

2004

D. K. Gramatrev and D. F. P. Pile, Appl. Phys. Lett. 85, 6323 (2004).
[CrossRef]

N. Kedei, D. J. Lundberg, A. Toth, P. Welburn, S. H. Garfield, and P. M. Blumberg, Cancer Res. 64, 3243 (2004).
[CrossRef]

2003

D. A. Schultz, Curr. Opin. Biotechnol. 14, 13 (2003).
[CrossRef]

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

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef]

D. J. Bergman and M. I. Stockman, Phys. Rev. Lett. 90, 027402 (2003).
[CrossRef]

2002

H. Ditlbacher, J. R. Krenn, G. Schider, A. Leitner, and F. R. Aussenegg, Appl. Phys. Lett. 81, 1762 (2002).
[CrossRef]

1997

K. Kneipp, Y. Wang, H. Kneipp, L. T. Perelman, I. Itzkan, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 78, 1667 (1997).
[CrossRef]

1994

D. Artigas and F. Dios, IEEE J. Quantum Electron. 301587 (1994).
[CrossRef]

1992

M. Specht, J. D. Pedarnig, W. M. Heckl, and T. W. Hänsch, Phys. Rev. Lett. 68, 476 (1992).
[CrossRef]

1988

M. I. Dyakonov, Sov. Phys. JETP 67, 714 (1988).
[CrossRef]

Artigas, D.

O. Takayama, L.-C. Crasovan, D. Artigas, and L. Torner, Phys. Rev. Lett. 102, 043903 (2009).
[CrossRef]

D. Artigas and L. Torner, Phys. Rev. Lett. 94, 013901 (2005).
[CrossRef]

D. Artigas and F. Dios, IEEE J. Quantum Electron. 301587 (1994).
[CrossRef]

Aussenegg, F. R.

H. Ditlbacher, J. R. Krenn, G. Schider, A. Leitner, and F. R. Aussenegg, Appl. Phys. Lett. 81, 1762 (2002).
[CrossRef]

Barnes, W. L.

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

Bergman, D. J.

D. J. Bergman and M. I. Stockman, Phys. Rev. Lett. 90, 027402 (2003).
[CrossRef]

Blumberg, P. M.

N. Kedei, D. J. Lundberg, A. Toth, P. Welburn, S. H. Garfield, and P. M. Blumberg, Cancer Res. 64, 3243 (2004).
[CrossRef]

Chen, J.

R. Li, C. Cheng, F.-F. Ren, J. Chen, Y.-X. Fan, J. Ding, and H.-T. Wang, Appl. Phys. Lett. 92, 141115 (2008).
[CrossRef]

Cheng, C.

R. Li, C. Cheng, F.-F. Ren, J. Chen, Y.-X. Fan, J. Ding, and H.-T. Wang, Appl. Phys. Lett. 92, 141115 (2008).
[CrossRef]

Crasovan, L.-C.

O. Takayama, L.-C. Crasovan, D. Artigas, and L. Torner, Phys. Rev. Lett. 102, 043903 (2009).
[CrossRef]

Dasari, R. R.

K. Kneipp, Y. Wang, H. Kneipp, L. T. Perelman, I. Itzkan, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 78, 1667 (1997).
[CrossRef]

Degiron, A.

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef]

Dereux, A.

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

Ding, J.

R. Li, C. Cheng, F.-F. Ren, J. Chen, Y.-X. Fan, J. Ding, and H.-T. Wang, Appl. Phys. Lett. 92, 141115 (2008).
[CrossRef]

Dios, F.

D. Artigas and F. Dios, IEEE J. Quantum Electron. 301587 (1994).
[CrossRef]

Ditlbacher, H.

H. Ditlbacher, J. R. Krenn, G. Schider, A. Leitner, and F. R. Aussenegg, Appl. Phys. Lett. 81, 1762 (2002).
[CrossRef]

Dyakonov, M. I.

M. I. Dyakonov, Sov. Phys. JETP 67, 714 (1988).
[CrossRef]

Ebbesen, T. W.

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef]

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

Fan, Y.-X.

R. Li, C. Cheng, F.-F. Ren, J. Chen, Y.-X. Fan, J. Ding, and H.-T. Wang, Appl. Phys. Lett. 92, 141115 (2008).
[CrossRef]

Fedotov, V. A.

N. I. Zheludev, S. L. Prosvirnin, N. Papasimakis, and V. A. Fedotov, Nat. Photon. 2, 351 (2008).
[CrossRef]

Feld, M. S.

K. Kneipp, Y. Wang, H. Kneipp, L. T. Perelman, I. Itzkan, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 78, 1667 (1997).
[CrossRef]

García-Vidal, F. J.

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef]

Garfield, S. H.

N. Kedei, D. J. Lundberg, A. Toth, P. Welburn, S. H. Garfield, and P. M. Blumberg, Cancer Res. 64, 3243 (2004).
[CrossRef]

Girard, C.

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

Gramatrev, D. K.

D. K. Gramatrev and D. F. P. Pile, Appl. Phys. Lett. 85, 6323 (2004).
[CrossRef]

Gray, S. K.

J. M. Montgomery and S. K. Gray, Phys. Rev. B 77, 125407 (2008).
[CrossRef]

Hänsch, T. W.

M. Specht, J. D. Pedarnig, W. M. Heckl, and T. W. Hänsch, Phys. Rev. Lett. 68, 476 (1992).
[CrossRef]

Heckl, W. M.

M. Specht, J. D. Pedarnig, W. M. Heckl, and T. W. Hänsch, Phys. Rev. Lett. 68, 476 (1992).
[CrossRef]

Itzkan, I.

K. Kneipp, Y. Wang, H. Kneipp, L. T. Perelman, I. Itzkan, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 78, 1667 (1997).
[CrossRef]

Kedei, N.

N. Kedei, D. J. Lundberg, A. Toth, P. Welburn, S. H. Garfield, and P. M. Blumberg, Cancer Res. 64, 3243 (2004).
[CrossRef]

Kneipp, H.

K. Kneipp, Y. Wang, H. Kneipp, L. T. Perelman, I. Itzkan, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 78, 1667 (1997).
[CrossRef]

Kneipp, K.

K. Kneipp, Y. Wang, H. Kneipp, L. T. Perelman, I. Itzkan, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 78, 1667 (1997).
[CrossRef]

Krenn, J. R.

H. Ditlbacher, J. R. Krenn, G. Schider, A. Leitner, and F. R. Aussenegg, Appl. Phys. Lett. 81, 1762 (2002).
[CrossRef]

Lakhtakia, A.

J. A. Polo and A. Lakhtakia, Laser Photon. Rev. 5, 234 (2011).
[CrossRef]

Leitner, A.

H. Ditlbacher, J. R. Krenn, G. Schider, A. Leitner, and F. R. Aussenegg, Appl. Phys. Lett. 81, 1762 (2002).
[CrossRef]

Lezec, H. J.

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef]

Li, R.

R. Li, C. Cheng, F.-F. Ren, J. Chen, Y.-X. Fan, J. Ding, and H.-T. Wang, Appl. Phys. Lett. 92, 141115 (2008).
[CrossRef]

Lundberg, D. J.

N. Kedei, D. J. Lundberg, A. Toth, P. Welburn, S. H. Garfield, and P. M. Blumberg, Cancer Res. 64, 3243 (2004).
[CrossRef]

Martín-Moreno, L.

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef]

Mihalache, D.

D. Mihalache, J. Optoelectron. Adv. Mater. 13, 1055 (2011).

Montgomery, J. M.

J. M. Montgomery and S. K. Gray, Phys. Rev. B 77, 125407 (2008).
[CrossRef]

Papasimakis, N.

N. I. Zheludev, S. L. Prosvirnin, N. Papasimakis, and V. A. Fedotov, Nat. Photon. 2, 351 (2008).
[CrossRef]

Pedarnig, J. D.

M. Specht, J. D. Pedarnig, W. M. Heckl, and T. W. Hänsch, Phys. Rev. Lett. 68, 476 (1992).
[CrossRef]

Perelman, L. T.

K. Kneipp, Y. Wang, H. Kneipp, L. T. Perelman, I. Itzkan, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 78, 1667 (1997).
[CrossRef]

Pile, D. F. P.

D. K. Gramatrev and D. F. P. Pile, Appl. Phys. Lett. 85, 6323 (2004).
[CrossRef]

Polo, J. A.

J. A. Polo and A. Lakhtakia, Laser Photon. Rev. 5, 234 (2011).
[CrossRef]

Prosvirnin, S. L.

N. I. Zheludev, S. L. Prosvirnin, N. Papasimakis, and V. A. Fedotov, Nat. Photon. 2, 351 (2008).
[CrossRef]

Quidant, R.

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

Ren, F.-F.

R. Li, C. Cheng, F.-F. Ren, J. Chen, Y.-X. Fan, J. Ding, and H.-T. Wang, Appl. Phys. Lett. 92, 141115 (2008).
[CrossRef]

Righini, M.

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

Schider, G.

H. Ditlbacher, J. R. Krenn, G. Schider, A. Leitner, and F. R. Aussenegg, Appl. Phys. Lett. 81, 1762 (2002).
[CrossRef]

Schultz, D. A.

D. A. Schultz, Curr. Opin. Biotechnol. 14, 13 (2003).
[CrossRef]

Specht, M.

M. Specht, J. D. Pedarnig, W. M. Heckl, and T. W. Hänsch, Phys. Rev. Lett. 68, 476 (1992).
[CrossRef]

Stockman, M. I.

D. J. Bergman and M. I. Stockman, Phys. Rev. Lett. 90, 027402 (2003).
[CrossRef]

Takayama, O.

O. Takayama, L.-C. Crasovan, D. Artigas, and L. Torner, Phys. Rev. Lett. 102, 043903 (2009).
[CrossRef]

Torner, L.

O. Takayama, L.-C. Crasovan, D. Artigas, and L. Torner, Phys. Rev. Lett. 102, 043903 (2009).
[CrossRef]

D. Artigas and L. Torner, Phys. Rev. Lett. 94, 013901 (2005).
[CrossRef]

Toth, A.

N. Kedei, D. J. Lundberg, A. Toth, P. Welburn, S. H. Garfield, and P. M. Blumberg, Cancer Res. 64, 3243 (2004).
[CrossRef]

Wang, H.-T.

R. Li, C. Cheng, F.-F. Ren, J. Chen, Y.-X. Fan, J. Ding, and H.-T. Wang, Appl. Phys. Lett. 92, 141115 (2008).
[CrossRef]

Wang, Y.

K. Kneipp, Y. Wang, H. Kneipp, L. T. Perelman, I. Itzkan, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 78, 1667 (1997).
[CrossRef]

Welburn, P.

N. Kedei, D. J. Lundberg, A. Toth, P. Welburn, S. H. Garfield, and P. M. Blumberg, Cancer Res. 64, 3243 (2004).
[CrossRef]

Zelenina, A. S.

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

Zheludev, N. I.

N. I. Zheludev, S. L. Prosvirnin, N. Papasimakis, and V. A. Fedotov, Nat. Photon. 2, 351 (2008).
[CrossRef]

Appl. Phys. Lett.

H. Ditlbacher, J. R. Krenn, G. Schider, A. Leitner, and F. R. Aussenegg, Appl. Phys. Lett. 81, 1762 (2002).
[CrossRef]

R. Li, C. Cheng, F.-F. Ren, J. Chen, Y.-X. Fan, J. Ding, and H.-T. Wang, Appl. Phys. Lett. 92, 141115 (2008).
[CrossRef]

D. K. Gramatrev and D. F. P. Pile, Appl. Phys. Lett. 85, 6323 (2004).
[CrossRef]

Cancer Res.

N. Kedei, D. J. Lundberg, A. Toth, P. Welburn, S. H. Garfield, and P. M. Blumberg, Cancer Res. 64, 3243 (2004).
[CrossRef]

Curr. Opin. Biotechnol.

D. A. Schultz, Curr. Opin. Biotechnol. 14, 13 (2003).
[CrossRef]

IEEE J. Quantum Electron.

D. Artigas and F. Dios, IEEE J. Quantum Electron. 301587 (1994).
[CrossRef]

J. Optoelectron. Adv. Mater.

D. Mihalache, J. Optoelectron. Adv. Mater. 13, 1055 (2011).

Laser Photon. Rev.

J. A. Polo and A. Lakhtakia, Laser Photon. Rev. 5, 234 (2011).
[CrossRef]

Nat. Photon.

N. I. Zheludev, S. L. Prosvirnin, N. Papasimakis, and V. A. Fedotov, Nat. Photon. 2, 351 (2008).
[CrossRef]

Nat. Phys.

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

Nature

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

Phys. Rev. B

J. M. Montgomery and S. K. Gray, Phys. Rev. B 77, 125407 (2008).
[CrossRef]

Phys. Rev. Lett.

D. Artigas and L. Torner, Phys. Rev. Lett. 94, 013901 (2005).
[CrossRef]

M. Specht, J. D. Pedarnig, W. M. Heckl, and T. W. Hänsch, Phys. Rev. Lett. 68, 476 (1992).
[CrossRef]

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef]

K. Kneipp, Y. Wang, H. Kneipp, L. T. Perelman, I. Itzkan, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 78, 1667 (1997).
[CrossRef]

D. J. Bergman and M. I. Stockman, Phys. Rev. Lett. 90, 027402 (2003).
[CrossRef]

O. Takayama, L.-C. Crasovan, D. Artigas, and L. Torner, Phys. Rev. Lett. 102, 043903 (2009).
[CrossRef]

Sov. Phys. JETP

M. I. Dyakonov, Sov. Phys. JETP 67, 714 (1988).
[CrossRef]

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Figures (4)

Fig. 1.
Fig. 1.

Planar structure under consideration consisting of a uniaxial layer (infinite dimensions in the yz plane) with ordinary and extraordinary refractive indices, no and ne, respectively, and thickness d sandwiched between an isotropic layer with refractive index of nc and a metal layer with permittivity εm.

Fig. 2.
Fig. 2.

(a) Calculated dispersion relation for dyakonons (blue) and plasmons (red) in terms of the optic axis orientation, θ, for isotropic-uniaxial and uniaxial–metal interface, respectively. (b) Dispersion relation for the eigenmodes of the whole isotropic-uniaxial-metal structure. Solid and dashed lines correspond to results without and with absorption, respectively. Absolute value of the field profiles for (c) Ex (TM), (d) Ey (TE) in mode A, (e) Ex (TM), and (f) Ey (TE) in mode B at θ=42.0° without considering metal absorption. Field peaks Ex in mode A (c) and Ey in mode B (f) at the uniaxial–metal interface are negative. The parameters defining the structure are nc=1.540, no=1.350, ne=1.922, d=2λ, and εm=16.22+0.52i.

Fig. 3.
Fig. 3.

Calculated fields for the case in Fig. 2 at θ=42.0° (a) Ex (TM) and (b) Ey (TE). Dark color in the figures corresponds to null field. The maximum field in (a) is three times larger than in (b). (c) Total power associated with dyakonons (blue) and plasmons (red) in terms of propagation distance.

Fig. 4.
Fig. 4.

(a) Calculated field amplitudes Ey (TE) and (b) power associated with dyakonons (blue) and plasmons (red) for a propagation angle with respect to the optic axis θ=44.5°. The parameters of the structure are given in Fig. 2.

Equations (1)

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Eb(x,y)=[A⃗o+exp[k0γox]A⃗e+exp[koγex]]+[A⃗oexp[k0γox]A⃗eexp[koγex]]×exp[i(Nkozωt)],

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