Abstract

We report on a method to generate a stationary interference pattern from two independent optical sources, each illuminating a single slit in Young’s interference experiment. The pattern arises as a result of the action of surface plasmons traveling between subwavelength slits milled in a metal film. The visibility of the interference pattern can be manipulated by tuning the wavelength of one of the optical sources.

© 2007 Optical Society of America

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References

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  1. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, 1995).
  2. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge University Press, 1999).
  3. E. Wolf, Opt. Lett. 8, 250 (1983).
    [CrossRef] [PubMed]
  4. H. F. Schouten, N. Kuzmin, G. Dubois, T. D. Visser, G. Gbur, P. F. A. Alkemade, H. Blok, G. W. 't Hooft, D. Lenstra, and E. R. Eliel, Phys. Rev. Lett. 94, 053901 (2005).
    [CrossRef] [PubMed]
  5. R. Carminati and J.-J. Greffet, Phys. Rev. Lett. 82, 1660 (1999).
    [CrossRef]
  6. H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer, 1988).
  7. P. Lalanne and J. P. Hugonin, Nat. Phys. 2, 551 (2006).
    [CrossRef]
  8. W. Barnes, A. Dereux, and T. Ebbesen, Nature 424, 824 (2003).
    [CrossRef] [PubMed]
  9. P. Lalanne, J. P. Hugonin, and J. C. Rodier, Phys. Rev. Lett. 95, 263902 (2005).
    [CrossRef]

2006 (1)

P. Lalanne and J. P. Hugonin, Nat. Phys. 2, 551 (2006).
[CrossRef]

2005 (2)

H. F. Schouten, N. Kuzmin, G. Dubois, T. D. Visser, G. Gbur, P. F. A. Alkemade, H. Blok, G. W. 't Hooft, D. Lenstra, and E. R. Eliel, Phys. Rev. Lett. 94, 053901 (2005).
[CrossRef] [PubMed]

P. Lalanne, J. P. Hugonin, and J. C. Rodier, Phys. Rev. Lett. 95, 263902 (2005).
[CrossRef]

2003 (1)

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

1999 (1)

R. Carminati and J.-J. Greffet, Phys. Rev. Lett. 82, 1660 (1999).
[CrossRef]

1983 (1)

Alkemade, P. F. A.

H. F. Schouten, N. Kuzmin, G. Dubois, T. D. Visser, G. Gbur, P. F. A. Alkemade, H. Blok, G. W. 't Hooft, D. Lenstra, and E. R. Eliel, Phys. Rev. Lett. 94, 053901 (2005).
[CrossRef] [PubMed]

Barnes, W.

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

Blok, H.

H. F. Schouten, N. Kuzmin, G. Dubois, T. D. Visser, G. Gbur, P. F. A. Alkemade, H. Blok, G. W. 't Hooft, D. Lenstra, and E. R. Eliel, Phys. Rev. Lett. 94, 053901 (2005).
[CrossRef] [PubMed]

Born, M.

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

Carminati, R.

R. Carminati and J.-J. Greffet, Phys. Rev. Lett. 82, 1660 (1999).
[CrossRef]

Dereux, A.

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

Dubois, G.

H. F. Schouten, N. Kuzmin, G. Dubois, T. D. Visser, G. Gbur, P. F. A. Alkemade, H. Blok, G. W. 't Hooft, D. Lenstra, and E. R. Eliel, Phys. Rev. Lett. 94, 053901 (2005).
[CrossRef] [PubMed]

Ebbesen, T.

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

Eliel, E. R.

H. F. Schouten, N. Kuzmin, G. Dubois, T. D. Visser, G. Gbur, P. F. A. Alkemade, H. Blok, G. W. 't Hooft, D. Lenstra, and E. R. Eliel, Phys. Rev. Lett. 94, 053901 (2005).
[CrossRef] [PubMed]

Gbur, G.

H. F. Schouten, N. Kuzmin, G. Dubois, T. D. Visser, G. Gbur, P. F. A. Alkemade, H. Blok, G. W. 't Hooft, D. Lenstra, and E. R. Eliel, Phys. Rev. Lett. 94, 053901 (2005).
[CrossRef] [PubMed]

Greffet, J.-J.

R. Carminati and J.-J. Greffet, Phys. Rev. Lett. 82, 1660 (1999).
[CrossRef]

Hugonin, J. P.

P. Lalanne and J. P. Hugonin, Nat. Phys. 2, 551 (2006).
[CrossRef]

P. Lalanne, J. P. Hugonin, and J. C. Rodier, Phys. Rev. Lett. 95, 263902 (2005).
[CrossRef]

Kuzmin, N.

H. F. Schouten, N. Kuzmin, G. Dubois, T. D. Visser, G. Gbur, P. F. A. Alkemade, H. Blok, G. W. 't Hooft, D. Lenstra, and E. R. Eliel, Phys. Rev. Lett. 94, 053901 (2005).
[CrossRef] [PubMed]

Lalanne, P.

P. Lalanne and J. P. Hugonin, Nat. Phys. 2, 551 (2006).
[CrossRef]

P. Lalanne, J. P. Hugonin, and J. C. Rodier, Phys. Rev. Lett. 95, 263902 (2005).
[CrossRef]

Lenstra, D.

H. F. Schouten, N. Kuzmin, G. Dubois, T. D. Visser, G. Gbur, P. F. A. Alkemade, H. Blok, G. W. 't Hooft, D. Lenstra, and E. R. Eliel, Phys. Rev. Lett. 94, 053901 (2005).
[CrossRef] [PubMed]

Mandel, L.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, 1995).

Raether, H.

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

Rodier, J. C.

P. Lalanne, J. P. Hugonin, and J. C. Rodier, Phys. Rev. Lett. 95, 263902 (2005).
[CrossRef]

Schouten, H. F.

H. F. Schouten, N. Kuzmin, G. Dubois, T. D. Visser, G. Gbur, P. F. A. Alkemade, H. Blok, G. W. 't Hooft, D. Lenstra, and E. R. Eliel, Phys. Rev. Lett. 94, 053901 (2005).
[CrossRef] [PubMed]

't Hooft, G. W.

H. F. Schouten, N. Kuzmin, G. Dubois, T. D. Visser, G. Gbur, P. F. A. Alkemade, H. Blok, G. W. 't Hooft, D. Lenstra, and E. R. Eliel, Phys. Rev. Lett. 94, 053901 (2005).
[CrossRef] [PubMed]

Visser, T. D.

H. F. Schouten, N. Kuzmin, G. Dubois, T. D. Visser, G. Gbur, P. F. A. Alkemade, H. Blok, G. W. 't Hooft, D. Lenstra, and E. R. Eliel, Phys. Rev. Lett. 94, 053901 (2005).
[CrossRef] [PubMed]

Wolf, E.

E. Wolf, Opt. Lett. 8, 250 (1983).
[CrossRef] [PubMed]

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

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, 1995).

Nat. Phys. (1)

P. Lalanne and J. P. Hugonin, Nat. Phys. 2, 551 (2006).
[CrossRef]

Nature (1)

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

Opt. Lett. (1)

Phys. Rev. Lett. (3)

H. F. Schouten, N. Kuzmin, G. Dubois, T. D. Visser, G. Gbur, P. F. A. Alkemade, H. Blok, G. W. 't Hooft, D. Lenstra, and E. R. Eliel, Phys. Rev. Lett. 94, 053901 (2005).
[CrossRef] [PubMed]

R. Carminati and J.-J. Greffet, Phys. Rev. Lett. 82, 1660 (1999).
[CrossRef]

P. Lalanne, J. P. Hugonin, and J. C. Rodier, Phys. Rev. Lett. 95, 263902 (2005).
[CrossRef]

Other (3)

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, 1995).

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

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

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Figures (4)

Fig. 1
Fig. 1

Sketch of the experimental setup. The outputs of a fiber-coupled diode and a Ti:sapphire laser are individually focused on one of a pair of 200 nm wide slits, separated by 25 μ m , in a thin gold film. The light diffracted at the two parallel slits is imaged onto a CCD camera. A, attenuator; M, mirror; BS, beam splitter; λ 2 , half-wave plate; P, polarizer; L, lens; S, gold sample. The inset shows the illumination of the double slit.

Fig. 2
Fig. 2

(a) Far-field pattern for the case when both laser beams are TE-polarized (polarization parallel to the slits). The semiconductor laser emits at 812 nm , while the Ti:sapphire laser is tuned to 808 nm . (b) Experimental far-field pattern when the polarization of both laser beams is perpendicular to the two slits (TM-polarization). Large-period fringes with a visibility V 20 % are easily discerned. The arrow indicates the period of the fringes.

Fig. 3
Fig. 3

Interference patterns recorded with only a single slit illuminated by the TM-polarized output of the Ti:sapphire laser for, from top to bottom, λ = 767 nm , λ = 775 nm , and λ = 784 nm .

Fig. 4
Fig. 4

Fringe visibility of the recorded pattern (for TM-polarization) as a function of the wavelength of the Ti:sapphire lasers.

Equations (5)

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Γ ( P 1 , P 2 , τ ) = E * ( P 1 , t ) E ( P 2 , t + τ ) ,
γ ( P 1 , P 2 , τ ) = Γ ( P 1 , P 2 , τ ) [ I ( P 1 ) I ( P 2 ) ] 1 2 ,
V = γ ( P 1 , P 2 , τ ) ,
Δ ϕ ( ω ) = k sp ( ω ) d + ψ .
k 0 d sin θ ± Δ ϕ ( ω ) = 2 π m ,

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