Abstract

When a surface plasmon propagates along a microrough grating, it interacts with the periodic plus the random roughness and emits light into the diffuse background, which can present intensity maxima called diffuse light bands. We reexamine previous studies on these bands within the framework of recent studies on photonic surfaces and show that the phenomenon of diffuse light provides an experimental technique for directly imaging the dispersion relation of surface plasmons, including the gap that, under appropriate circumstances, opens in the reciprocal grating space.

© 2004 Optical Society of America

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  1. D. L. Mills, Phys. Rev. B 15, 3097 (1977).
    [CrossRef]
  2. S. R. Seshadri, J. Appl. Phys. 58, 1733 (1985).
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  3. R. A. Watts and J. R. Sambles, J. Mod. Opt. 44, 1231 (1997).
    [CrossRef]
  4. W. L. Barnes, S. C. Kitson, T. W. Preist, and J. R. Sambles, J. Opt. Soc. Am. A 14, 1654 (1997).
    [CrossRef]
  5. V. N. Konopsky and E. V. Alieva, J. Mod. Opt. 48, 1597 (2001).
    [CrossRef]
  6. M. Kretschmann, T. A. Leskova, and A. A. Maradudin, Opt. Commun. 215, 205 (2003).
    [CrossRef]
  7. I. R. Hooper and J. R. Sambles, J. Opt. Soc. Am. A 20, 836 (2003).
    [CrossRef]
  8. S. C. Kitson, W. L. Barnes, G. W. Bradberry, and J. R. Sambles, J. Appl. Phys. 79, 7383 (1996).
    [CrossRef]
  9. W. L. Barnes, T. W. Priest, S. C. Kitson, J. R. Sambles, N. P. K. Cotter, and D. J. Nash, Phys. Rev. B 51, 164 (1995).
  10. M. C. Hutley and V. M. Bird, Opt. Acta 20, 771 (1973).
    [CrossRef]
  11. J. J. Cowan, Opt. Commun. 12, 373 (1974).
    [CrossRef]
  12. E. G. Loewen, W. R. McKinney, and R. McPhedran, Proc. SPIE 503, 187 (1984).
    [CrossRef]
  13. J. M. Simon and J. M. Pagliere, Opt. Acta 33, 1035 (1986).
    [CrossRef]
  14. J. M. Simon and J. M. Pagliere, J. Mod. Opt. 35, 1549 (1988).
    [CrossRef]
  15. V. L. Brudny and R. A. Depine, J. Mod. Opt. 40, 427 (1993).
    [CrossRef]

2003

M. Kretschmann, T. A. Leskova, and A. A. Maradudin, Opt. Commun. 215, 205 (2003).
[CrossRef]

I. R. Hooper and J. R. Sambles, J. Opt. Soc. Am. A 20, 836 (2003).
[CrossRef]

2001

V. N. Konopsky and E. V. Alieva, J. Mod. Opt. 48, 1597 (2001).
[CrossRef]

1997

1996

S. C. Kitson, W. L. Barnes, G. W. Bradberry, and J. R. Sambles, J. Appl. Phys. 79, 7383 (1996).
[CrossRef]

1995

W. L. Barnes, T. W. Priest, S. C. Kitson, J. R. Sambles, N. P. K. Cotter, and D. J. Nash, Phys. Rev. B 51, 164 (1995).

1993

V. L. Brudny and R. A. Depine, J. Mod. Opt. 40, 427 (1993).
[CrossRef]

1988

J. M. Simon and J. M. Pagliere, J. Mod. Opt. 35, 1549 (1988).
[CrossRef]

1986

J. M. Simon and J. M. Pagliere, Opt. Acta 33, 1035 (1986).
[CrossRef]

1985

S. R. Seshadri, J. Appl. Phys. 58, 1733 (1985).
[CrossRef]

1984

E. G. Loewen, W. R. McKinney, and R. McPhedran, Proc. SPIE 503, 187 (1984).
[CrossRef]

1977

D. L. Mills, Phys. Rev. B 15, 3097 (1977).
[CrossRef]

1974

J. J. Cowan, Opt. Commun. 12, 373 (1974).
[CrossRef]

1973

M. C. Hutley and V. M. Bird, Opt. Acta 20, 771 (1973).
[CrossRef]

Alieva, E. V.

V. N. Konopsky and E. V. Alieva, J. Mod. Opt. 48, 1597 (2001).
[CrossRef]

Barnes, W. L.

W. L. Barnes, S. C. Kitson, T. W. Preist, and J. R. Sambles, J. Opt. Soc. Am. A 14, 1654 (1997).
[CrossRef]

S. C. Kitson, W. L. Barnes, G. W. Bradberry, and J. R. Sambles, J. Appl. Phys. 79, 7383 (1996).
[CrossRef]

W. L. Barnes, T. W. Priest, S. C. Kitson, J. R. Sambles, N. P. K. Cotter, and D. J. Nash, Phys. Rev. B 51, 164 (1995).

Bird, V. M.

M. C. Hutley and V. M. Bird, Opt. Acta 20, 771 (1973).
[CrossRef]

Bradberry, G. W.

S. C. Kitson, W. L. Barnes, G. W. Bradberry, and J. R. Sambles, J. Appl. Phys. 79, 7383 (1996).
[CrossRef]

Brudny, V. L.

V. L. Brudny and R. A. Depine, J. Mod. Opt. 40, 427 (1993).
[CrossRef]

Cotter, N. P. K.

W. L. Barnes, T. W. Priest, S. C. Kitson, J. R. Sambles, N. P. K. Cotter, and D. J. Nash, Phys. Rev. B 51, 164 (1995).

Cowan, J. J.

J. J. Cowan, Opt. Commun. 12, 373 (1974).
[CrossRef]

Depine, R. A.

V. L. Brudny and R. A. Depine, J. Mod. Opt. 40, 427 (1993).
[CrossRef]

Hooper, I. R.

Hutley, M. C.

M. C. Hutley and V. M. Bird, Opt. Acta 20, 771 (1973).
[CrossRef]

Kitson, S. C.

W. L. Barnes, S. C. Kitson, T. W. Preist, and J. R. Sambles, J. Opt. Soc. Am. A 14, 1654 (1997).
[CrossRef]

S. C. Kitson, W. L. Barnes, G. W. Bradberry, and J. R. Sambles, J. Appl. Phys. 79, 7383 (1996).
[CrossRef]

W. L. Barnes, T. W. Priest, S. C. Kitson, J. R. Sambles, N. P. K. Cotter, and D. J. Nash, Phys. Rev. B 51, 164 (1995).

Konopsky, V. N.

V. N. Konopsky and E. V. Alieva, J. Mod. Opt. 48, 1597 (2001).
[CrossRef]

Kretschmann, M.

M. Kretschmann, T. A. Leskova, and A. A. Maradudin, Opt. Commun. 215, 205 (2003).
[CrossRef]

Leskova, T. A.

M. Kretschmann, T. A. Leskova, and A. A. Maradudin, Opt. Commun. 215, 205 (2003).
[CrossRef]

Loewen, E. G.

E. G. Loewen, W. R. McKinney, and R. McPhedran, Proc. SPIE 503, 187 (1984).
[CrossRef]

Maradudin, A. A.

M. Kretschmann, T. A. Leskova, and A. A. Maradudin, Opt. Commun. 215, 205 (2003).
[CrossRef]

McKinney, W. R.

E. G. Loewen, W. R. McKinney, and R. McPhedran, Proc. SPIE 503, 187 (1984).
[CrossRef]

McPhedran, R.

E. G. Loewen, W. R. McKinney, and R. McPhedran, Proc. SPIE 503, 187 (1984).
[CrossRef]

Mills, D. L.

D. L. Mills, Phys. Rev. B 15, 3097 (1977).
[CrossRef]

Nash, D. J.

W. L. Barnes, T. W. Priest, S. C. Kitson, J. R. Sambles, N. P. K. Cotter, and D. J. Nash, Phys. Rev. B 51, 164 (1995).

Pagliere, J. M.

J. M. Simon and J. M. Pagliere, J. Mod. Opt. 35, 1549 (1988).
[CrossRef]

J. M. Simon and J. M. Pagliere, Opt. Acta 33, 1035 (1986).
[CrossRef]

Preist, T. W.

Priest, T. W.

W. L. Barnes, T. W. Priest, S. C. Kitson, J. R. Sambles, N. P. K. Cotter, and D. J. Nash, Phys. Rev. B 51, 164 (1995).

Sambles, J. R.

I. R. Hooper and J. R. Sambles, J. Opt. Soc. Am. A 20, 836 (2003).
[CrossRef]

R. A. Watts and J. R. Sambles, J. Mod. Opt. 44, 1231 (1997).
[CrossRef]

W. L. Barnes, S. C. Kitson, T. W. Preist, and J. R. Sambles, J. Opt. Soc. Am. A 14, 1654 (1997).
[CrossRef]

S. C. Kitson, W. L. Barnes, G. W. Bradberry, and J. R. Sambles, J. Appl. Phys. 79, 7383 (1996).
[CrossRef]

W. L. Barnes, T. W. Priest, S. C. Kitson, J. R. Sambles, N. P. K. Cotter, and D. J. Nash, Phys. Rev. B 51, 164 (1995).

Seshadri, S. R.

S. R. Seshadri, J. Appl. Phys. 58, 1733 (1985).
[CrossRef]

Simon, J. M.

J. M. Simon and J. M. Pagliere, J. Mod. Opt. 35, 1549 (1988).
[CrossRef]

J. M. Simon and J. M. Pagliere, Opt. Acta 33, 1035 (1986).
[CrossRef]

Watts, R. A.

R. A. Watts and J. R. Sambles, J. Mod. Opt. 44, 1231 (1997).
[CrossRef]

J. Appl. Phys.

S. C. Kitson, W. L. Barnes, G. W. Bradberry, and J. R. Sambles, J. Appl. Phys. 79, 7383 (1996).
[CrossRef]

S. R. Seshadri, J. Appl. Phys. 58, 1733 (1985).
[CrossRef]

J. Mod. Opt.

R. A. Watts and J. R. Sambles, J. Mod. Opt. 44, 1231 (1997).
[CrossRef]

V. N. Konopsky and E. V. Alieva, J. Mod. Opt. 48, 1597 (2001).
[CrossRef]

J. M. Simon and J. M. Pagliere, J. Mod. Opt. 35, 1549 (1988).
[CrossRef]

V. L. Brudny and R. A. Depine, J. Mod. Opt. 40, 427 (1993).
[CrossRef]

J. Opt. Soc. Am. A

Opt. Acta

J. M. Simon and J. M. Pagliere, Opt. Acta 33, 1035 (1986).
[CrossRef]

M. C. Hutley and V. M. Bird, Opt. Acta 20, 771 (1973).
[CrossRef]

Opt. Commun.

J. J. Cowan, Opt. Commun. 12, 373 (1974).
[CrossRef]

M. Kretschmann, T. A. Leskova, and A. A. Maradudin, Opt. Commun. 215, 205 (2003).
[CrossRef]

Phys. Rev. B

W. L. Barnes, T. W. Priest, S. C. Kitson, J. R. Sambles, N. P. K. Cotter, and D. J. Nash, Phys. Rev. B 51, 164 (1995).

D. L. Mills, Phys. Rev. B 15, 3097 (1977).
[CrossRef]

Proc. SPIE

E. G. Loewen, W. R. McKinney, and R. McPhedran, Proc. SPIE 503, 187 (1984).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Grating profile obtained from atomic-force microscope image.

Fig. 2
Fig. 2

Experimental setup to observe the bands.

Fig. 3
Fig. 3

Portions of the bands for (a) p-polarized and (b) s-polarized incidence.

Equations (7)

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

Re Ksp=ωc1+1/2>ωc,
Ksp=k0 sin θ0+nKg,
FKsp,ω,φ=0.
fr=--Aα,γexpiαx+βy+γzdαdγ,
α=ωcsin θ cos φ, β=ωccos θ, γ=ωcsin θ sin φ.
ωcsin θ cos φ=Ksp cos φ+n2πd=Ksp·xˆ+n2πd, ωcsin θ sin φ=Ksp sin φ=Ksp·zˆ.
rb=cωR0Ksp·xˆ+n2πdcos θxˆ+yˆ+Ksp·zˆcos θzˆ.

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