Abstract

We observe the interference of de Broglie waves in the diffraction near field of a microfabricated grating. The reduction of the grating period by self-imaging of second to seventh order is spatially resolved. We investigate the dependence of this effect on the de Broglie wavelength by a time-to-flight technique.

© 1997 Optical Society of America

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  1. C. S. Adams, M. Sigel, and J. Mlynek, Phys. Rep. 240, 143 (1994).
    [CrossRef]
  2. P. Berman, in Atom Interferometry, P. Berman, ed. (Academic, London, 1996).
  3. G. Timp, R. E. Behringer, T. M. Tennant, J. E. Cunningham, M. Prentiss, and K. K. Berggren, Phys. Rev. Lett. 69, 1636 (1992).
    [CrossRef] [PubMed]
  4. R. Gupta, J. J. McClelland, Z. J. Jabbour, and R. J. Celotta, Appl. Phys. Lett. 67, 1378 (1995).
    [CrossRef]
  5. U. Drodofsky, J. Stuhler, B. Brezger, T. Schulze, M. Drewsen, T. Pfau, and J. Mlynek, Microelectron. Eng. 35, 285 (1997).
    [CrossRef]
  6. U. Drodofsky, J. Stuhler, Th. Schulze, M. Drewsen, B. Brezger, T. Pfau, and J. Mlynek, “Hexagonal nano-structures generated by light masks for neutral atoms,” Appl. Phys. B (to be published).
  7. R. W. McGowan, D. M. Giltner, and S. A. Lee, Opt. Lett. 20, 2535 (1995).
    [CrossRef]
  8. K. K. Berggren, A. Bard, J. L. Wilbur, J. D. Gillaspy, A. G. Helg, J. J. McClelland, S. L. Rolston, W. D. Phillips, M. Prentiss, and G. M. Whitesides, Science 269, 1255 (1995).
    [CrossRef] [PubMed]
  9. S. Nowak, T. Pfau, and J. Mlynek, Appl. Phys. B 63, 203 (1996).
    [CrossRef]
  10. M. Morinaga, M. Yasuda, T. Kishimoto, and F. Shimizu, Phys. Rev. Lett. 77, 802 (1996).
    [CrossRef] [PubMed]
  11. O. Carnal, M. Sigel, T. Sleator, H. Takuma, and J. Mlynek, Phys. Rev. Lett. 67, 3231 (1991).
    [CrossRef] [PubMed]
  12. H. F. Talbot, Philos. Mag. 9, 401 (1836).
  13. U. Janicke and M. Wilkens, J. Phys. II France 4, 1975 (1994).
    [CrossRef]
  14. J. F. Clauser and M. W. Reinsch, Appl. Phys. B 54, 380 (1992).
    [CrossRef]
  15. O. Carnal, Q. A. Turchette, and H. J. Kimble, Phys. Rev. A 51, 3079 (1995).
    [CrossRef] [PubMed]
  16. B. Dubetsky and P. R. Berman, Adv. At. Mol. Phys. 37, 407 (1997).
  17. M. S. Chapman, C. R. Ekstrom, T. D. Hammond, J. Schmiedmayer, B. E. Tannian, S. Wehinger, and D. E. Pritchard, Phys. Rev. A 51, R14 (1995).
    [CrossRef]
  18. J. F. Clauser and S. Li, Phys. Rev. A 49, R2213 (1994).
    [CrossRef]
  19. C. Kurtsiefer and J. Mlynek, Appl. Phys. B 64, 85 (1996).
    [CrossRef]
  20. C. David, H. U. Müller, B. Völkel, and M. Grunze, Microelectron. Eng. 30, 57 (1996).
    [CrossRef]
  21. A. Faulstich, A. Schnetz, M. Sigel, T. Sleator, O. Carnal, V. Balykin, H. Takuma, and J. Mlynek, Europhys. Lett. 17, 393 (1992).
    [CrossRef]

1997 (2)

B. Dubetsky and P. R. Berman, Adv. At. Mol. Phys. 37, 407 (1997).

U. Drodofsky, J. Stuhler, B. Brezger, T. Schulze, M. Drewsen, T. Pfau, and J. Mlynek, Microelectron. Eng. 35, 285 (1997).
[CrossRef]

1996 (4)

C. Kurtsiefer and J. Mlynek, Appl. Phys. B 64, 85 (1996).
[CrossRef]

C. David, H. U. Müller, B. Völkel, and M. Grunze, Microelectron. Eng. 30, 57 (1996).
[CrossRef]

S. Nowak, T. Pfau, and J. Mlynek, Appl. Phys. B 63, 203 (1996).
[CrossRef]

M. Morinaga, M. Yasuda, T. Kishimoto, and F. Shimizu, Phys. Rev. Lett. 77, 802 (1996).
[CrossRef] [PubMed]

1995 (5)

K. K. Berggren, A. Bard, J. L. Wilbur, J. D. Gillaspy, A. G. Helg, J. J. McClelland, S. L. Rolston, W. D. Phillips, M. Prentiss, and G. M. Whitesides, Science 269, 1255 (1995).
[CrossRef] [PubMed]

O. Carnal, Q. A. Turchette, and H. J. Kimble, Phys. Rev. A 51, 3079 (1995).
[CrossRef] [PubMed]

M. S. Chapman, C. R. Ekstrom, T. D. Hammond, J. Schmiedmayer, B. E. Tannian, S. Wehinger, and D. E. Pritchard, Phys. Rev. A 51, R14 (1995).
[CrossRef]

R. W. McGowan, D. M. Giltner, and S. A. Lee, Opt. Lett. 20, 2535 (1995).
[CrossRef]

R. Gupta, J. J. McClelland, Z. J. Jabbour, and R. J. Celotta, Appl. Phys. Lett. 67, 1378 (1995).
[CrossRef]

1994 (3)

C. S. Adams, M. Sigel, and J. Mlynek, Phys. Rep. 240, 143 (1994).
[CrossRef]

J. F. Clauser and S. Li, Phys. Rev. A 49, R2213 (1994).
[CrossRef]

U. Janicke and M. Wilkens, J. Phys. II France 4, 1975 (1994).
[CrossRef]

1992 (3)

J. F. Clauser and M. W. Reinsch, Appl. Phys. B 54, 380 (1992).
[CrossRef]

A. Faulstich, A. Schnetz, M. Sigel, T. Sleator, O. Carnal, V. Balykin, H. Takuma, and J. Mlynek, Europhys. Lett. 17, 393 (1992).
[CrossRef]

G. Timp, R. E. Behringer, T. M. Tennant, J. E. Cunningham, M. Prentiss, and K. K. Berggren, Phys. Rev. Lett. 69, 1636 (1992).
[CrossRef] [PubMed]

1991 (1)

O. Carnal, M. Sigel, T. Sleator, H. Takuma, and J. Mlynek, Phys. Rev. Lett. 67, 3231 (1991).
[CrossRef] [PubMed]

1836 (1)

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

Adams, C. S.

C. S. Adams, M. Sigel, and J. Mlynek, Phys. Rep. 240, 143 (1994).
[CrossRef]

Balykin, V.

A. Faulstich, A. Schnetz, M. Sigel, T. Sleator, O. Carnal, V. Balykin, H. Takuma, and J. Mlynek, Europhys. Lett. 17, 393 (1992).
[CrossRef]

Bard, A.

K. K. Berggren, A. Bard, J. L. Wilbur, J. D. Gillaspy, A. G. Helg, J. J. McClelland, S. L. Rolston, W. D. Phillips, M. Prentiss, and G. M. Whitesides, Science 269, 1255 (1995).
[CrossRef] [PubMed]

Behringer, R. E.

G. Timp, R. E. Behringer, T. M. Tennant, J. E. Cunningham, M. Prentiss, and K. K. Berggren, Phys. Rev. Lett. 69, 1636 (1992).
[CrossRef] [PubMed]

Berggren, K. K.

K. K. Berggren, A. Bard, J. L. Wilbur, J. D. Gillaspy, A. G. Helg, J. J. McClelland, S. L. Rolston, W. D. Phillips, M. Prentiss, and G. M. Whitesides, Science 269, 1255 (1995).
[CrossRef] [PubMed]

G. Timp, R. E. Behringer, T. M. Tennant, J. E. Cunningham, M. Prentiss, and K. K. Berggren, Phys. Rev. Lett. 69, 1636 (1992).
[CrossRef] [PubMed]

Berman, P.

P. Berman, in Atom Interferometry, P. Berman, ed. (Academic, London, 1996).

Berman, P. R.

B. Dubetsky and P. R. Berman, Adv. At. Mol. Phys. 37, 407 (1997).

Brezger, B.

U. Drodofsky, J. Stuhler, B. Brezger, T. Schulze, M. Drewsen, T. Pfau, and J. Mlynek, Microelectron. Eng. 35, 285 (1997).
[CrossRef]

U. Drodofsky, J. Stuhler, Th. Schulze, M. Drewsen, B. Brezger, T. Pfau, and J. Mlynek, “Hexagonal nano-structures generated by light masks for neutral atoms,” Appl. Phys. B (to be published).

Carnal, O.

O. Carnal, Q. A. Turchette, and H. J. Kimble, Phys. Rev. A 51, 3079 (1995).
[CrossRef] [PubMed]

A. Faulstich, A. Schnetz, M. Sigel, T. Sleator, O. Carnal, V. Balykin, H. Takuma, and J. Mlynek, Europhys. Lett. 17, 393 (1992).
[CrossRef]

O. Carnal, M. Sigel, T. Sleator, H. Takuma, and J. Mlynek, Phys. Rev. Lett. 67, 3231 (1991).
[CrossRef] [PubMed]

Celotta, R. J.

R. Gupta, J. J. McClelland, Z. J. Jabbour, and R. J. Celotta, Appl. Phys. Lett. 67, 1378 (1995).
[CrossRef]

Chapman, M. S.

M. S. Chapman, C. R. Ekstrom, T. D. Hammond, J. Schmiedmayer, B. E. Tannian, S. Wehinger, and D. E. Pritchard, Phys. Rev. A 51, R14 (1995).
[CrossRef]

Clauser, J. F.

J. F. Clauser and S. Li, Phys. Rev. A 49, R2213 (1994).
[CrossRef]

J. F. Clauser and M. W. Reinsch, Appl. Phys. B 54, 380 (1992).
[CrossRef]

Cunningham, J. E.

G. Timp, R. E. Behringer, T. M. Tennant, J. E. Cunningham, M. Prentiss, and K. K. Berggren, Phys. Rev. Lett. 69, 1636 (1992).
[CrossRef] [PubMed]

David, C.

C. David, H. U. Müller, B. Völkel, and M. Grunze, Microelectron. Eng. 30, 57 (1996).
[CrossRef]

Drewsen, M.

U. Drodofsky, J. Stuhler, B. Brezger, T. Schulze, M. Drewsen, T. Pfau, and J. Mlynek, Microelectron. Eng. 35, 285 (1997).
[CrossRef]

U. Drodofsky, J. Stuhler, Th. Schulze, M. Drewsen, B. Brezger, T. Pfau, and J. Mlynek, “Hexagonal nano-structures generated by light masks for neutral atoms,” Appl. Phys. B (to be published).

Drodofsky, U.

U. Drodofsky, J. Stuhler, B. Brezger, T. Schulze, M. Drewsen, T. Pfau, and J. Mlynek, Microelectron. Eng. 35, 285 (1997).
[CrossRef]

U. Drodofsky, J. Stuhler, Th. Schulze, M. Drewsen, B. Brezger, T. Pfau, and J. Mlynek, “Hexagonal nano-structures generated by light masks for neutral atoms,” Appl. Phys. B (to be published).

Dubetsky, B.

B. Dubetsky and P. R. Berman, Adv. At. Mol. Phys. 37, 407 (1997).

Ekstrom, C. R.

M. S. Chapman, C. R. Ekstrom, T. D. Hammond, J. Schmiedmayer, B. E. Tannian, S. Wehinger, and D. E. Pritchard, Phys. Rev. A 51, R14 (1995).
[CrossRef]

Faulstich, A.

A. Faulstich, A. Schnetz, M. Sigel, T. Sleator, O. Carnal, V. Balykin, H. Takuma, and J. Mlynek, Europhys. Lett. 17, 393 (1992).
[CrossRef]

Gillaspy, J. D.

K. K. Berggren, A. Bard, J. L. Wilbur, J. D. Gillaspy, A. G. Helg, J. J. McClelland, S. L. Rolston, W. D. Phillips, M. Prentiss, and G. M. Whitesides, Science 269, 1255 (1995).
[CrossRef] [PubMed]

Giltner, D. M.

Grunze, M.

C. David, H. U. Müller, B. Völkel, and M. Grunze, Microelectron. Eng. 30, 57 (1996).
[CrossRef]

Gupta, R.

R. Gupta, J. J. McClelland, Z. J. Jabbour, and R. J. Celotta, Appl. Phys. Lett. 67, 1378 (1995).
[CrossRef]

Hammond, T. D.

M. S. Chapman, C. R. Ekstrom, T. D. Hammond, J. Schmiedmayer, B. E. Tannian, S. Wehinger, and D. E. Pritchard, Phys. Rev. A 51, R14 (1995).
[CrossRef]

Helg, A. G.

K. K. Berggren, A. Bard, J. L. Wilbur, J. D. Gillaspy, A. G. Helg, J. J. McClelland, S. L. Rolston, W. D. Phillips, M. Prentiss, and G. M. Whitesides, Science 269, 1255 (1995).
[CrossRef] [PubMed]

Jabbour, Z. J.

R. Gupta, J. J. McClelland, Z. J. Jabbour, and R. J. Celotta, Appl. Phys. Lett. 67, 1378 (1995).
[CrossRef]

Janicke, U.

U. Janicke and M. Wilkens, J. Phys. II France 4, 1975 (1994).
[CrossRef]

Kimble, H. J.

O. Carnal, Q. A. Turchette, and H. J. Kimble, Phys. Rev. A 51, 3079 (1995).
[CrossRef] [PubMed]

Kishimoto, T.

M. Morinaga, M. Yasuda, T. Kishimoto, and F. Shimizu, Phys. Rev. Lett. 77, 802 (1996).
[CrossRef] [PubMed]

Kurtsiefer, C.

C. Kurtsiefer and J. Mlynek, Appl. Phys. B 64, 85 (1996).
[CrossRef]

Lee, S. A.

Li, S.

J. F. Clauser and S. Li, Phys. Rev. A 49, R2213 (1994).
[CrossRef]

McClelland, J. J.

R. Gupta, J. J. McClelland, Z. J. Jabbour, and R. J. Celotta, Appl. Phys. Lett. 67, 1378 (1995).
[CrossRef]

K. K. Berggren, A. Bard, J. L. Wilbur, J. D. Gillaspy, A. G. Helg, J. J. McClelland, S. L. Rolston, W. D. Phillips, M. Prentiss, and G. M. Whitesides, Science 269, 1255 (1995).
[CrossRef] [PubMed]

McGowan, R. W.

Mlynek, J.

U. Drodofsky, J. Stuhler, B. Brezger, T. Schulze, M. Drewsen, T. Pfau, and J. Mlynek, Microelectron. Eng. 35, 285 (1997).
[CrossRef]

C. Kurtsiefer and J. Mlynek, Appl. Phys. B 64, 85 (1996).
[CrossRef]

S. Nowak, T. Pfau, and J. Mlynek, Appl. Phys. B 63, 203 (1996).
[CrossRef]

C. S. Adams, M. Sigel, and J. Mlynek, Phys. Rep. 240, 143 (1994).
[CrossRef]

A. Faulstich, A. Schnetz, M. Sigel, T. Sleator, O. Carnal, V. Balykin, H. Takuma, and J. Mlynek, Europhys. Lett. 17, 393 (1992).
[CrossRef]

O. Carnal, M. Sigel, T. Sleator, H. Takuma, and J. Mlynek, Phys. Rev. Lett. 67, 3231 (1991).
[CrossRef] [PubMed]

U. Drodofsky, J. Stuhler, Th. Schulze, M. Drewsen, B. Brezger, T. Pfau, and J. Mlynek, “Hexagonal nano-structures generated by light masks for neutral atoms,” Appl. Phys. B (to be published).

Morinaga, M.

M. Morinaga, M. Yasuda, T. Kishimoto, and F. Shimizu, Phys. Rev. Lett. 77, 802 (1996).
[CrossRef] [PubMed]

Müller, H. U.

C. David, H. U. Müller, B. Völkel, and M. Grunze, Microelectron. Eng. 30, 57 (1996).
[CrossRef]

Nowak, S.

S. Nowak, T. Pfau, and J. Mlynek, Appl. Phys. B 63, 203 (1996).
[CrossRef]

Pfau, T.

U. Drodofsky, J. Stuhler, B. Brezger, T. Schulze, M. Drewsen, T. Pfau, and J. Mlynek, Microelectron. Eng. 35, 285 (1997).
[CrossRef]

S. Nowak, T. Pfau, and J. Mlynek, Appl. Phys. B 63, 203 (1996).
[CrossRef]

U. Drodofsky, J. Stuhler, Th. Schulze, M. Drewsen, B. Brezger, T. Pfau, and J. Mlynek, “Hexagonal nano-structures generated by light masks for neutral atoms,” Appl. Phys. B (to be published).

Phillips, W. D.

K. K. Berggren, A. Bard, J. L. Wilbur, J. D. Gillaspy, A. G. Helg, J. J. McClelland, S. L. Rolston, W. D. Phillips, M. Prentiss, and G. M. Whitesides, Science 269, 1255 (1995).
[CrossRef] [PubMed]

Prentiss, M.

K. K. Berggren, A. Bard, J. L. Wilbur, J. D. Gillaspy, A. G. Helg, J. J. McClelland, S. L. Rolston, W. D. Phillips, M. Prentiss, and G. M. Whitesides, Science 269, 1255 (1995).
[CrossRef] [PubMed]

G. Timp, R. E. Behringer, T. M. Tennant, J. E. Cunningham, M. Prentiss, and K. K. Berggren, Phys. Rev. Lett. 69, 1636 (1992).
[CrossRef] [PubMed]

Pritchard, D. E.

M. S. Chapman, C. R. Ekstrom, T. D. Hammond, J. Schmiedmayer, B. E. Tannian, S. Wehinger, and D. E. Pritchard, Phys. Rev. A 51, R14 (1995).
[CrossRef]

Reinsch, M. W.

J. F. Clauser and M. W. Reinsch, Appl. Phys. B 54, 380 (1992).
[CrossRef]

Rolston, S. L.

K. K. Berggren, A. Bard, J. L. Wilbur, J. D. Gillaspy, A. G. Helg, J. J. McClelland, S. L. Rolston, W. D. Phillips, M. Prentiss, and G. M. Whitesides, Science 269, 1255 (1995).
[CrossRef] [PubMed]

Schmiedmayer, J.

M. S. Chapman, C. R. Ekstrom, T. D. Hammond, J. Schmiedmayer, B. E. Tannian, S. Wehinger, and D. E. Pritchard, Phys. Rev. A 51, R14 (1995).
[CrossRef]

Schnetz, A.

A. Faulstich, A. Schnetz, M. Sigel, T. Sleator, O. Carnal, V. Balykin, H. Takuma, and J. Mlynek, Europhys. Lett. 17, 393 (1992).
[CrossRef]

Schulze, T.

U. Drodofsky, J. Stuhler, B. Brezger, T. Schulze, M. Drewsen, T. Pfau, and J. Mlynek, Microelectron. Eng. 35, 285 (1997).
[CrossRef]

Schulze, Th.

U. Drodofsky, J. Stuhler, Th. Schulze, M. Drewsen, B. Brezger, T. Pfau, and J. Mlynek, “Hexagonal nano-structures generated by light masks for neutral atoms,” Appl. Phys. B (to be published).

Shimizu, F.

M. Morinaga, M. Yasuda, T. Kishimoto, and F. Shimizu, Phys. Rev. Lett. 77, 802 (1996).
[CrossRef] [PubMed]

Sigel, M.

C. S. Adams, M. Sigel, and J. Mlynek, Phys. Rep. 240, 143 (1994).
[CrossRef]

A. Faulstich, A. Schnetz, M. Sigel, T. Sleator, O. Carnal, V. Balykin, H. Takuma, and J. Mlynek, Europhys. Lett. 17, 393 (1992).
[CrossRef]

O. Carnal, M. Sigel, T. Sleator, H. Takuma, and J. Mlynek, Phys. Rev. Lett. 67, 3231 (1991).
[CrossRef] [PubMed]

Sleator, T.

A. Faulstich, A. Schnetz, M. Sigel, T. Sleator, O. Carnal, V. Balykin, H. Takuma, and J. Mlynek, Europhys. Lett. 17, 393 (1992).
[CrossRef]

O. Carnal, M. Sigel, T. Sleator, H. Takuma, and J. Mlynek, Phys. Rev. Lett. 67, 3231 (1991).
[CrossRef] [PubMed]

Stuhler, J.

U. Drodofsky, J. Stuhler, B. Brezger, T. Schulze, M. Drewsen, T. Pfau, and J. Mlynek, Microelectron. Eng. 35, 285 (1997).
[CrossRef]

U. Drodofsky, J. Stuhler, Th. Schulze, M. Drewsen, B. Brezger, T. Pfau, and J. Mlynek, “Hexagonal nano-structures generated by light masks for neutral atoms,” Appl. Phys. B (to be published).

Takuma, H.

A. Faulstich, A. Schnetz, M. Sigel, T. Sleator, O. Carnal, V. Balykin, H. Takuma, and J. Mlynek, Europhys. Lett. 17, 393 (1992).
[CrossRef]

O. Carnal, M. Sigel, T. Sleator, H. Takuma, and J. Mlynek, Phys. Rev. Lett. 67, 3231 (1991).
[CrossRef] [PubMed]

Talbot, H. F.

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

Tannian, B. E.

M. S. Chapman, C. R. Ekstrom, T. D. Hammond, J. Schmiedmayer, B. E. Tannian, S. Wehinger, and D. E. Pritchard, Phys. Rev. A 51, R14 (1995).
[CrossRef]

Tennant, T. M.

G. Timp, R. E. Behringer, T. M. Tennant, J. E. Cunningham, M. Prentiss, and K. K. Berggren, Phys. Rev. Lett. 69, 1636 (1992).
[CrossRef] [PubMed]

Timp, G.

G. Timp, R. E. Behringer, T. M. Tennant, J. E. Cunningham, M. Prentiss, and K. K. Berggren, Phys. Rev. Lett. 69, 1636 (1992).
[CrossRef] [PubMed]

Turchette, Q. A.

O. Carnal, Q. A. Turchette, and H. J. Kimble, Phys. Rev. A 51, 3079 (1995).
[CrossRef] [PubMed]

Völkel, B.

C. David, H. U. Müller, B. Völkel, and M. Grunze, Microelectron. Eng. 30, 57 (1996).
[CrossRef]

Wehinger, S.

M. S. Chapman, C. R. Ekstrom, T. D. Hammond, J. Schmiedmayer, B. E. Tannian, S. Wehinger, and D. E. Pritchard, Phys. Rev. A 51, R14 (1995).
[CrossRef]

Whitesides, G. M.

K. K. Berggren, A. Bard, J. L. Wilbur, J. D. Gillaspy, A. G. Helg, J. J. McClelland, S. L. Rolston, W. D. Phillips, M. Prentiss, and G. M. Whitesides, Science 269, 1255 (1995).
[CrossRef] [PubMed]

Wilbur, J. L.

K. K. Berggren, A. Bard, J. L. Wilbur, J. D. Gillaspy, A. G. Helg, J. J. McClelland, S. L. Rolston, W. D. Phillips, M. Prentiss, and G. M. Whitesides, Science 269, 1255 (1995).
[CrossRef] [PubMed]

Wilkens, M.

U. Janicke and M. Wilkens, J. Phys. II France 4, 1975 (1994).
[CrossRef]

Yasuda, M.

M. Morinaga, M. Yasuda, T. Kishimoto, and F. Shimizu, Phys. Rev. Lett. 77, 802 (1996).
[CrossRef] [PubMed]

Adv. At. Mol. Phys. (1)

B. Dubetsky and P. R. Berman, Adv. At. Mol. Phys. 37, 407 (1997).

Appl. Phys. B (3)

J. F. Clauser and M. W. Reinsch, Appl. Phys. B 54, 380 (1992).
[CrossRef]

S. Nowak, T. Pfau, and J. Mlynek, Appl. Phys. B 63, 203 (1996).
[CrossRef]

C. Kurtsiefer and J. Mlynek, Appl. Phys. B 64, 85 (1996).
[CrossRef]

Appl. Phys. Lett. (1)

R. Gupta, J. J. McClelland, Z. J. Jabbour, and R. J. Celotta, Appl. Phys. Lett. 67, 1378 (1995).
[CrossRef]

Europhys. Lett. (1)

A. Faulstich, A. Schnetz, M. Sigel, T. Sleator, O. Carnal, V. Balykin, H. Takuma, and J. Mlynek, Europhys. Lett. 17, 393 (1992).
[CrossRef]

J. Phys. II France (1)

U. Janicke and M. Wilkens, J. Phys. II France 4, 1975 (1994).
[CrossRef]

Microelectron. Eng. (2)

U. Drodofsky, J. Stuhler, B. Brezger, T. Schulze, M. Drewsen, T. Pfau, and J. Mlynek, Microelectron. Eng. 35, 285 (1997).
[CrossRef]

C. David, H. U. Müller, B. Völkel, and M. Grunze, Microelectron. Eng. 30, 57 (1996).
[CrossRef]

Opt. Lett. (1)

Philos. Mag. (1)

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

Phys. Rep. (1)

C. S. Adams, M. Sigel, and J. Mlynek, Phys. Rep. 240, 143 (1994).
[CrossRef]

Phys. Rev. A (3)

O. Carnal, Q. A. Turchette, and H. J. Kimble, Phys. Rev. A 51, 3079 (1995).
[CrossRef] [PubMed]

M. S. Chapman, C. R. Ekstrom, T. D. Hammond, J. Schmiedmayer, B. E. Tannian, S. Wehinger, and D. E. Pritchard, Phys. Rev. A 51, R14 (1995).
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Figures (5)

Fig. 1
Fig. 1

Ray-tracing results for the two settings of L1 in the experiment (see below): (a) L1=0.24 m, (b) L1=0.79 m. All other parameters were identical in (a) and (b): L0=1.27 m, d=6.55 µm, Δx=0.65 µm, b=2 µm (see text). The arrows indicate the parameter settings, for which higher-order self-imaging of the grating can be observed.

Fig. 2
Fig. 2

(a) Schematic of the experimental setup. The pulsed metastable helium beam is produced in a switched dc gas discharge, and time-of-flight detection is done by the time-resolving detection scheme. (b) Typical de Broglie wavelength spectrum in the atom beam.

Fig. 3
Fig. 3

Scanning electron microscope pictures of the diffraction grating. The grating consists of a free-standing silicon membrane with 0.6-µm-wide slits. The suspending bars have distances of 15 µm. Magnifications are (a) 750, (b) 7500.

Fig. 4
Fig. 4

Experimental results for two different settings of L1 (see Fig.  2): (a) L1=0.24 m, (b) L1=0.79 m. We plot the spatial atom distribution versus the de Broglie wavelength λdB. The intensity is encoded in the gray scale. The arrows indicate the locations at which Talbot fringes of the mth order are observed.

Fig. 5
Fig. 5

Experimental atom distributions for the de Broglie wavelengths indicated by the arrows in Fig.  4, in comparison with the calculated distributions (thin curves), again for the two different settings of L1 (see Fig.  2): (a) L1=0.24 m, (b) L1=0.79 m. Note that the calculation does not include the finite detector resolution. The dashed lines indicate the zero lines for the individual curves.

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