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

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  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

1997

1996

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

1995

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

1994

1990

1836

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.

Opt. Commun.

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

Opt. Lett.

Philos. Mag.

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

Prog. Surf. Sci.

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

Ultramicroscopy

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

Other

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

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 (1)

Fig. 1
Fig. 1

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

Equations (2)

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

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=,

Metrics