Abstract

A superresolution phenomenon in images of diffraction gratings obtained with a near-field optical microscope probe positioned at distances of the order of 1 µm from the surface was recently reported [Appl. Opt. 33, 876 (1994)]. This experiment was interpreted in terms of evanescent waves observed in the far field. We show that the effect observed in that experiment is a very well known far-field optical phenomenon called the Talbot effect. The existence of self-imaging Talbot planes for gratings with periods of the order of a few micrometers appears promising for many practical applications.

© 1998 Optical Society of America

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References

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  1. D. W. Pohl and D. Courjon, eds., Near-Field Optics (Kluwer, Dordrecht, The Netherlands, 1993).
    [CrossRef]
  2. J. J. Greffet and R. Carminati, Prog. Surf. Sci. 56, 133 (1997).
    [CrossRef]
  3. S. Bozhevolnyi, M. Xiao, and O. Keller, Appl. Opt. 33, 876 (1994).
    [CrossRef] [PubMed]
  4. M. Xiao, Opt. Commun. 132, 403 (1996); Chem. Phys. Lett. 258, 363 (1996); J. Mod. Opt. 44, 327 (1997).
    [CrossRef]
  5. E. Wolf and J. T. Foley, Opt. Lett. 23, 16 (1998).
    [CrossRef]
  6. W. H. F. Talbot, Philos. Mag. 9, 401 (1836).
  7. A. W. Lohmann and J. A. Thomas, Appl. Opt. 29, 4337 (1990).
    [CrossRef] [PubMed]
  8. K. Tatah, A. Fukumoto, T. J. Suleski, and D. C. O’Shea, Appl. Opt. 36, 3577 (1997).
    [CrossRef] [PubMed]
  9. L. Novotny, D. W. Pohl, and B. Hecht, Ultramicroscopy 61, 1 (1995).
    [CrossRef]

1998 (1)

1997 (2)

1996 (1)

M. Xiao, Opt. Commun. 132, 403 (1996); Chem. Phys. Lett. 258, 363 (1996); J. Mod. Opt. 44, 327 (1997).
[CrossRef]

1995 (1)

L. Novotny, D. W. Pohl, and B. Hecht, Ultramicroscopy 61, 1 (1995).
[CrossRef]

1994 (1)

1990 (1)

1836 (1)

W. H. F. Talbot, Philos. Mag. 9, 401 (1836).

Bozhevolnyi, S.

Carminati, R.

J. J. Greffet and R. Carminati, Prog. Surf. Sci. 56, 133 (1997).
[CrossRef]

Foley, J. T.

Fukumoto, A.

Greffet, J. J.

J. J. Greffet and R. Carminati, Prog. Surf. Sci. 56, 133 (1997).
[CrossRef]

Hecht, B.

L. Novotny, D. W. Pohl, and B. Hecht, Ultramicroscopy 61, 1 (1995).
[CrossRef]

Keller, O.

Lohmann, A. W.

Novotny, L.

L. Novotny, D. W. Pohl, and B. Hecht, Ultramicroscopy 61, 1 (1995).
[CrossRef]

O’Shea, D. C.

Pohl, D. W.

L. Novotny, D. W. Pohl, and B. Hecht, Ultramicroscopy 61, 1 (1995).
[CrossRef]

Suleski, T. J.

Talbot, W. H. F.

W. H. F. Talbot, Philos. Mag. 9, 401 (1836).

Tatah, K.

Thomas, J. A.

Wolf, E.

Xiao, M.

M. Xiao, Opt. Commun. 132, 403 (1996); Chem. Phys. Lett. 258, 363 (1996); J. Mod. Opt. 44, 327 (1997).
[CrossRef]

S. Bozhevolnyi, M. Xiao, and O. Keller, Appl. Opt. 33, 876 (1994).
[CrossRef] [PubMed]

Appl. Opt. (3)

Opt. Commun. (1)

M. Xiao, Opt. Commun. 132, 403 (1996); Chem. Phys. Lett. 258, 363 (1996); J. Mod. Opt. 44, 327 (1997).
[CrossRef]

Opt. Lett. (1)

Philos. Mag. (1)

W. H. F. Talbot, Philos. Mag. 9, 401 (1836).

Prog. Surf. Sci. (1)

J. J. Greffet and R. Carminati, Prog. Surf. Sci. 56, 133 (1997).
[CrossRef]

Ultramicroscopy (1)

L. Novotny, D. W. Pohl, and B. Hecht, Ultramicroscopy 61, 1 (1995).
[CrossRef]

Other (1)

D. W. Pohl and D. Courjon, eds., Near-Field Optics (Kluwer, Dordrecht, The Netherlands, 1993).
[CrossRef]

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Figures (1)

Fig. 1
Fig. 1

Field distributions of a grating at different distances near the Talbot plane at Ztm=3.36 µm.

Equations (2)

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Ex,z=nCn exp2πinx/aexpiknz,kn=2π1/λ2-n2/a21/2.
1/λ2-1/a21/2Ztm=1/λ2-22/a21/2Ztm+n2=1/λ2-32/a21/2Ztm+n3=,

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