Abstract

A semianalytical Fabry–Perot model is presented to investigate the electromagnetic enhancement by double grooves in gold substrate. The influence of hybrid wave (HW) propagating along the metal surface on field enhancement is explored systematically with a HW model. Simulation results imply that the hybrid generated by one groove can affect the mode fields in the other groove after propagating along the metallic surface. Giant electromagnetic field intensity at resonance condition is found for the groove distance of 0.6λ with the contribution of surface waves, which is nearly independent of the incidence wavelength and groove width.

© 2012 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. S. Nie and S. R. Emory, Science 275, 1102 (1997).
    [CrossRef]
  2. H. T. Miyazaki and Y. Kurokawa, IEEE J. Sel. Top. Quantum Electron. 14, 1565 (2008).
    [CrossRef]
  3. S. W. Zhang, H. T. Liu, and G. G. Mu, J. Opt. Soc. Am. A 27, 1555 (2010).
    [CrossRef]
  4. J. Le. Perchec, P. Quémerais, A. Barbara, and T. López-Ríos, Phys. Rev. Lett. 100, 066408 (2008).
    [CrossRef]
  5. F. Llopis, I. Tobías, and M. M. Jakas, J. Opt. Soc. Am. B 27, 1998 (2010).
    [CrossRef]
  6. F. J. García-Vidal and L. Martín-Moreno, Phys. Rev. B 66, 155412 (2002).
    [CrossRef]
  7. S. W. Zhang, H. T. Liu, and G. G. Mu, J. Opt. Soc. Am. A 28, 879 (2011).
    [CrossRef]
  8. H. T. Liu and P. Lalanne, Nature 452, 728 (2008).
    [CrossRef]
  9. H. T. Liu and P. Lalanne, Phys. Rev. B 82, 115418 (2010).
    [CrossRef]
  10. P. Lalanne, J. P. Hugonin, H. T. Liu, and B. Wang, Surf. Sci. Rep. 64, 453 (2009).
    [CrossRef]
  11. X. Y. Yang, H. T. Liu, and P. Lalanne, Phys. Rev. Lett. 102, 153903 (2009).
    [CrossRef]
  12. E. D. Palik, Handbook of Optical Constants of Solids Part II (Academic, 1985).
  13. P. Lalanne, J. P. Hugonin, and J. C. Rodier, J. Opt. Soc. Am. A 23, 1608 (2006).
    [CrossRef]
  14. H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer-Verlag, 1988).
  15. J. P. Hugonin and P. Lalanne, Reticolo Software for Grating Analysis (Insitut d’Optique, 2005).

2011 (1)

2010 (3)

2009 (2)

P. Lalanne, J. P. Hugonin, H. T. Liu, and B. Wang, Surf. Sci. Rep. 64, 453 (2009).
[CrossRef]

X. Y. Yang, H. T. Liu, and P. Lalanne, Phys. Rev. Lett. 102, 153903 (2009).
[CrossRef]

2008 (3)

H. T. Miyazaki and Y. Kurokawa, IEEE J. Sel. Top. Quantum Electron. 14, 1565 (2008).
[CrossRef]

J. Le. Perchec, P. Quémerais, A. Barbara, and T. López-Ríos, Phys. Rev. Lett. 100, 066408 (2008).
[CrossRef]

H. T. Liu and P. Lalanne, Nature 452, 728 (2008).
[CrossRef]

2006 (1)

2002 (1)

F. J. García-Vidal and L. Martín-Moreno, Phys. Rev. B 66, 155412 (2002).
[CrossRef]

1997 (1)

S. Nie and S. R. Emory, Science 275, 1102 (1997).
[CrossRef]

Barbara, A.

J. Le. Perchec, P. Quémerais, A. Barbara, and T. López-Ríos, Phys. Rev. Lett. 100, 066408 (2008).
[CrossRef]

Emory, S. R.

S. Nie and S. R. Emory, Science 275, 1102 (1997).
[CrossRef]

García-Vidal, F. J.

F. J. García-Vidal and L. Martín-Moreno, Phys. Rev. B 66, 155412 (2002).
[CrossRef]

Hugonin, J. P.

P. Lalanne, J. P. Hugonin, H. T. Liu, and B. Wang, Surf. Sci. Rep. 64, 453 (2009).
[CrossRef]

P. Lalanne, J. P. Hugonin, and J. C. Rodier, J. Opt. Soc. Am. A 23, 1608 (2006).
[CrossRef]

J. P. Hugonin and P. Lalanne, Reticolo Software for Grating Analysis (Insitut d’Optique, 2005).

Jakas, M. M.

Kurokawa, Y.

H. T. Miyazaki and Y. Kurokawa, IEEE J. Sel. Top. Quantum Electron. 14, 1565 (2008).
[CrossRef]

Lalanne, P.

H. T. Liu and P. Lalanne, Phys. Rev. B 82, 115418 (2010).
[CrossRef]

X. Y. Yang, H. T. Liu, and P. Lalanne, Phys. Rev. Lett. 102, 153903 (2009).
[CrossRef]

P. Lalanne, J. P. Hugonin, H. T. Liu, and B. Wang, Surf. Sci. Rep. 64, 453 (2009).
[CrossRef]

H. T. Liu and P. Lalanne, Nature 452, 728 (2008).
[CrossRef]

P. Lalanne, J. P. Hugonin, and J. C. Rodier, J. Opt. Soc. Am. A 23, 1608 (2006).
[CrossRef]

J. P. Hugonin and P. Lalanne, Reticolo Software for Grating Analysis (Insitut d’Optique, 2005).

Liu, H. T.

S. W. Zhang, H. T. Liu, and G. G. Mu, J. Opt. Soc. Am. A 28, 879 (2011).
[CrossRef]

S. W. Zhang, H. T. Liu, and G. G. Mu, J. Opt. Soc. Am. A 27, 1555 (2010).
[CrossRef]

H. T. Liu and P. Lalanne, Phys. Rev. B 82, 115418 (2010).
[CrossRef]

X. Y. Yang, H. T. Liu, and P. Lalanne, Phys. Rev. Lett. 102, 153903 (2009).
[CrossRef]

P. Lalanne, J. P. Hugonin, H. T. Liu, and B. Wang, Surf. Sci. Rep. 64, 453 (2009).
[CrossRef]

H. T. Liu and P. Lalanne, Nature 452, 728 (2008).
[CrossRef]

Llopis, F.

López-Ríos, T.

J. Le. Perchec, P. Quémerais, A. Barbara, and T. López-Ríos, Phys. Rev. Lett. 100, 066408 (2008).
[CrossRef]

Martín-Moreno, L.

F. J. García-Vidal and L. Martín-Moreno, Phys. Rev. B 66, 155412 (2002).
[CrossRef]

Miyazaki, H. T.

H. T. Miyazaki and Y. Kurokawa, IEEE J. Sel. Top. Quantum Electron. 14, 1565 (2008).
[CrossRef]

Mu, G. G.

Nie, S.

S. Nie and S. R. Emory, Science 275, 1102 (1997).
[CrossRef]

Palik, E. D.

E. D. Palik, Handbook of Optical Constants of Solids Part II (Academic, 1985).

Perchec, J. Le.

J. Le. Perchec, P. Quémerais, A. Barbara, and T. López-Ríos, Phys. Rev. Lett. 100, 066408 (2008).
[CrossRef]

Quémerais, P.

J. Le. Perchec, P. Quémerais, A. Barbara, and T. López-Ríos, Phys. Rev. Lett. 100, 066408 (2008).
[CrossRef]

Raether, H.

H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer-Verlag, 1988).

Rodier, J. C.

Tobías, I.

Wang, B.

P. Lalanne, J. P. Hugonin, H. T. Liu, and B. Wang, Surf. Sci. Rep. 64, 453 (2009).
[CrossRef]

Yang, X. Y.

X. Y. Yang, H. T. Liu, and P. Lalanne, Phys. Rev. Lett. 102, 153903 (2009).
[CrossRef]

Zhang, S. W.

IEEE J. Sel. Top. Quantum Electron. (1)

H. T. Miyazaki and Y. Kurokawa, IEEE J. Sel. Top. Quantum Electron. 14, 1565 (2008).
[CrossRef]

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

J. Opt. Soc. Am. B (1)

Nature (1)

H. T. Liu and P. Lalanne, Nature 452, 728 (2008).
[CrossRef]

Phys. Rev. B (2)

H. T. Liu and P. Lalanne, Phys. Rev. B 82, 115418 (2010).
[CrossRef]

F. J. García-Vidal and L. Martín-Moreno, Phys. Rev. B 66, 155412 (2002).
[CrossRef]

Phys. Rev. Lett. (2)

X. Y. Yang, H. T. Liu, and P. Lalanne, Phys. Rev. Lett. 102, 153903 (2009).
[CrossRef]

J. Le. Perchec, P. Quémerais, A. Barbara, and T. López-Ríos, Phys. Rev. Lett. 100, 066408 (2008).
[CrossRef]

Science (1)

S. Nie and S. R. Emory, Science 275, 1102 (1997).
[CrossRef]

Surf. Sci. Rep. (1)

P. Lalanne, J. P. Hugonin, H. T. Liu, and B. Wang, Surf. Sci. Rep. 64, 453 (2009).
[CrossRef]

Other (3)

E. D. Palik, Handbook of Optical Constants of Solids Part II (Academic, 1985).

H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer-Verlag, 1988).

J. P. Hugonin and P. Lalanne, Reticolo Software for Grating Analysis (Insitut d’Optique, 2005).

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 (4)

Fig. 1.
Fig. 1.

(a) Groove doublet in gold substrate. (b)–(g) Definitions of the scattering coefficient.

Fig. 2.
Fig. 2.

(a) EF as a function of h for w=0.05λ, d=0.5λ, λ=1μm, nm=0.26+6.82i. A-FMM data, predictions with ρHW and without ρHW of the model are shown by the circles, solid curves and plus, respectively. (b) x-z distribution of normalized electric field intensity |E|2/|Einc|2 for h=hres(m=0)=0.13λ.

Fig. 3.
Fig. 3.

(a)–(c) EFres achieved at h=hres(m=0) (d) under resonance conditions, values of the fundamental quantities |td| and |rd| as a function of d for w=0.05λ.

Fig. 4.
Fig. 4.

Real part of magnetic field of the HW as a function of x/λ˙ by a single air-gold slit for w=0.1λ at various wavelengths.

Equations (6)

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

ψin(x,z)=aψ0(x)exp(ik0neffz)+bψ0+(x)exp[ik0neff(z+h)],
a=td+rdexp(ik0neffh)b,b=rmexp(ik0neffh)a,
HHW+(x)=exp(ikSPx)+H0(x/λ)mexp(ik0x),
td=t+αHWβHW[HHW+(d)]1ρHW,rd=ra+αHWαHW[HHW+(d)]1ρHW,
EF=|ηtd1rmexp(i2k0neffh)1rdrmexp(i2k0neffh)|2,
2k0Re(neff)h+arg(rd)+arg(rm)=2mπ,

Metrics