Abstract

A waveguide mode of a subwavelength rectangular hole in a real metal is analyzed. Due to coupling between surface plasmons on the long edges of the hole, the cut-off wavelength increases as the hole-width is reduced. The cut-off wavelength is found to be much larger than Rayleigh�??s criterion for perfect metals �?? 2.3 times as large for a 15 nm wide hole. The analytical results are verified by finite-difference calculations. The finite difference calculations also show the influence of including material loss.

© 2005 Optical Society of America

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References

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  1. Lord Rayleigh, �??On the Passage of Electric Waves Through Tubes,�?? Philos. Mag. 43, 125-132 (1897).
  2. H. A. Bethe, �??Theory of Diffraction by Small Holes,�?? Phys. Rev. 66, 163-182 (1944).
    [CrossRef]
  3. T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, P. A. Wolff, �??Extraordinary Optical Transmission through Sub-Wavelength Hole Arrays,�?? Nature 391, 667-669 (1998).
    [CrossRef]
  4. H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, T. W. Ebbesen, �??Beaming Light from a Subwavelength Aperture,�?? Science 297, 820-822 (2002).
    [CrossRef]
  5. R. Gordon, A. G. Brolo, A. McKinnon, A. Rajora, B. Leathem, and K. L. Kavanagh, �??Strong Polarization in the Optical Transmission through Elliptical Nanohole Arrays,�?? Phys. Rev. Lett. 92, 037401 (2004).
    [CrossRef]
  6. K. J. K. Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, �??Strong Influence of Hole Shape on Extraordinary Transmission through Periodic Arrays of Subwavelength Holes,�?? Phys. Rev. Lett. 92, 183901 (2004).
    [CrossRef]
  7. A. Degiron, H. J. Lezec, N. Yamamoto, T. W. Ebbesen, �??Optical Transmission Properties of a Single Subwavelength Aperture in a Real Metal,�?? Opt. Commun. 239, 61-66 (2004).
    [CrossRef]
  8. Johnson and Christy, �??Optical Constants of the Nobel Metals,�?? Phys. Rev. B 12, 4370-4379 (1972).
  9. R. C. Booton Jr., Computational Methods for Electromagnetics and Microwaves, (John Wiley & Sons, New York, 1992).

Nature (1)

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, P. A. Wolff, �??Extraordinary Optical Transmission through Sub-Wavelength Hole Arrays,�?? Nature 391, 667-669 (1998).
[CrossRef]

Opt. Commun. (1)

A. Degiron, H. J. Lezec, N. Yamamoto, T. W. Ebbesen, �??Optical Transmission Properties of a Single Subwavelength Aperture in a Real Metal,�?? Opt. Commun. 239, 61-66 (2004).
[CrossRef]

Philos. Mag. (1)

Lord Rayleigh, �??On the Passage of Electric Waves Through Tubes,�?? Philos. Mag. 43, 125-132 (1897).

Phys. Rev. (1)

H. A. Bethe, �??Theory of Diffraction by Small Holes,�?? Phys. Rev. 66, 163-182 (1944).
[CrossRef]

Phys. Rev. B (1)

Johnson and Christy, �??Optical Constants of the Nobel Metals,�?? Phys. Rev. B 12, 4370-4379 (1972).

Phys. Rev. Lett. (2)

R. Gordon, A. G. Brolo, A. McKinnon, A. Rajora, B. Leathem, and K. L. Kavanagh, �??Strong Polarization in the Optical Transmission through Elliptical Nanohole Arrays,�?? Phys. Rev. Lett. 92, 037401 (2004).
[CrossRef]

K. J. K. Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, �??Strong Influence of Hole Shape on Extraordinary Transmission through Periodic Arrays of Subwavelength Holes,�?? Phys. Rev. Lett. 92, 183901 (2004).
[CrossRef]

Science (1)

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, T. W. Ebbesen, �??Beaming Light from a Subwavelength Aperture,�?? Science 297, 820-822 (2002).
[CrossRef]

Other (1)

R. C. Booton Jr., Computational Methods for Electromagnetics and Microwaves, (John Wiley & Sons, New York, 1992).

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