Abstract

To increase the accuracy of wave-front evaluation, we propose to exploit the natural capability of multiple lateral shearing interferometers to measure simultaneously more than two orthogonal phase derivatives. We also describe a method, based on Fourier-transform analysis, that uses this multiple information to reconstruct the wave-front under study.

© 2005 Optical Society of America

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References

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  1. M. V. R. K. Murty, Appl. Opt. 3, 531 (1964).
    [CrossRef]
  2. M. P. Rimmer, Appl. Opt. 13, 623 (1974).
    [CrossRef] [PubMed]
  3. P. P. Naulleau, K. A. Goldberg, and J. Bokor, J. Vac. Sci. Technol. B 18, 2939 (2000).
    [CrossRef]
  4. J. Primot and L. Sogno, J. Opt. Soc. Am. A 12, 2679 (1995).
    [CrossRef]
  5. J. C. Chanteloup, F. Druon, M. Nantel, A. Maksimchuk, and G. Mourou, Opt. Lett. 23, 621 (1998).
    [CrossRef]
  6. J. Queneuille, F. Druon, A. Maksimchuk, G. Chériaux, G. Mourou, and K. Nemoto, Opt. Lett. 25, 508 (2000).
    [CrossRef]
  7. F. Druon, G. Chériaux, J. Faure, J. Nees, M. Nantel, A. Maksimchuk, G. Mourou, J. C. Chanteloup, and G. Vdovin, Opt. Lett. 23, 1043 (1998).
    [CrossRef]
  8. B. Wattellier, C. Sauteret, J. C. Chanteloup, and A. Migus, Opt. Lett. 27, 213 (2002).
    [CrossRef]
  9. V. I. Sokolov, A. M. Nugumanov, and R. V. Smirnov, Opt. Commun. 189, 377 (2001).
    [CrossRef]
  10. J. Primot and N. Guérineau, Appl. Opt. 39, 5715 (2000).
    [CrossRef]
  11. J. C. Chanteloup and M. Cohen, Proc. SPIE 5252, 282 (2004).
    [CrossRef]
  12. R. V. Shack and B. C. Platt, J. Opt. Soc. Am. 61, 656 (1971).
  13. F. Roddier, Opt. Eng. 29, 1239 (1990).
    [CrossRef]
  14. J. Primot, Opt. Commun. 222, 81 (2003).
    [CrossRef]
  15. K. Ichikawa, A. Lohmann, and M. Takeda, Appl. Opt. 27, 3433 (1988).
    [CrossRef] [PubMed]
  16. R. W. Gershberg, Opt. Acta 21, 709 (1974).
    [CrossRef]
  17. F. Roddier and C. Roddier, Appl. Opt. 30, 1325 (1991).
    [CrossRef] [PubMed]
  18. R. Legarda-Sáenz, M. Rivera, R. Rodríguez-Vera, and G. Trujillo-Schiaffino, Opt. Lett. 25, 1089 (2000).
    [CrossRef]

2004 (1)

J. C. Chanteloup and M. Cohen, Proc. SPIE 5252, 282 (2004).
[CrossRef]

2003 (1)

J. Primot, Opt. Commun. 222, 81 (2003).
[CrossRef]

2002 (1)

2001 (1)

V. I. Sokolov, A. M. Nugumanov, and R. V. Smirnov, Opt. Commun. 189, 377 (2001).
[CrossRef]

2000 (4)

1998 (2)

1995 (1)

1991 (1)

1990 (1)

F. Roddier, Opt. Eng. 29, 1239 (1990).
[CrossRef]

1988 (1)

1974 (2)

1971 (1)

R. V. Shack and B. C. Platt, J. Opt. Soc. Am. 61, 656 (1971).

1964 (1)

Bokor, J.

P. P. Naulleau, K. A. Goldberg, and J. Bokor, J. Vac. Sci. Technol. B 18, 2939 (2000).
[CrossRef]

Chanteloup, J. C.

Chériaux, G.

Cohen, M.

J. C. Chanteloup and M. Cohen, Proc. SPIE 5252, 282 (2004).
[CrossRef]

Druon, F.

Faure, J.

Gershberg, R. W.

R. W. Gershberg, Opt. Acta 21, 709 (1974).
[CrossRef]

Goldberg, K. A.

P. P. Naulleau, K. A. Goldberg, and J. Bokor, J. Vac. Sci. Technol. B 18, 2939 (2000).
[CrossRef]

Guérineau, N.

Ichikawa, K.

Legarda-Sáenz, R.

Lohmann, A.

Maksimchuk, A.

Migus, A.

Mourou, G.

Murty, M. V. R. K.

Nantel, M.

Naulleau, P. P.

P. P. Naulleau, K. A. Goldberg, and J. Bokor, J. Vac. Sci. Technol. B 18, 2939 (2000).
[CrossRef]

Nees, J.

Nemoto, K.

Nugumanov, A. M.

V. I. Sokolov, A. M. Nugumanov, and R. V. Smirnov, Opt. Commun. 189, 377 (2001).
[CrossRef]

Platt, B. C.

R. V. Shack and B. C. Platt, J. Opt. Soc. Am. 61, 656 (1971).

Primot, J.

Queneuille, J.

Rimmer, M. P.

Rivera, M.

Roddier, C.

Roddier, F.

Rodríguez-Vera, R.

Sauteret, C.

Shack, R. V.

R. V. Shack and B. C. Platt, J. Opt. Soc. Am. 61, 656 (1971).

Smirnov, R. V.

V. I. Sokolov, A. M. Nugumanov, and R. V. Smirnov, Opt. Commun. 189, 377 (2001).
[CrossRef]

Sogno, L.

Sokolov, V. I.

V. I. Sokolov, A. M. Nugumanov, and R. V. Smirnov, Opt. Commun. 189, 377 (2001).
[CrossRef]

Takeda, M.

Trujillo-Schiaffino, G.

Vdovin, G.

Wattellier, B.

Appl. Opt. (5)

J. Opt. Soc. Am. (1)

R. V. Shack and B. C. Platt, J. Opt. Soc. Am. 61, 656 (1971).

J. Opt. Soc. Am. A (1)

J. Vac. Sci. Technol. B (1)

P. P. Naulleau, K. A. Goldberg, and J. Bokor, J. Vac. Sci. Technol. B 18, 2939 (2000).
[CrossRef]

Opt. Acta (1)

R. W. Gershberg, Opt. Acta 21, 709 (1974).
[CrossRef]

Opt. Commun. (2)

V. I. Sokolov, A. M. Nugumanov, and R. V. Smirnov, Opt. Commun. 189, 377 (2001).
[CrossRef]

J. Primot, Opt. Commun. 222, 81 (2003).
[CrossRef]

Opt. Eng. (1)

F. Roddier, Opt. Eng. 29, 1239 (1990).
[CrossRef]

Opt. Lett. (5)

Proc. SPIE (1)

J. C. Chanteloup and M. Cohen, Proc. SPIE 5252, 282 (2004).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Schematic interference pattern of four replicas in a Cartesian geometry and definitions of the shear directions.

Fig. 2
Fig. 2

(a) Computed impinging wave front W0, (b) reconstructed wave front with two orthogonal derivatives W2G, (c) reconstructed wave front with four derivatives W4G, (d) histograms of the difference between the noiseless and the reconstructed wave fronts with two orthogonal derivatives (dashed curve) and with four derivatives (solid curve).

Fig. 3
Fig. 3

Fourier transform of the interferogram produced with a MHM.

Equations (3)

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

G˜xj=2iπujW˜,
EW˜=jG˜xj-2iπujW˜2.
W˜e=-i2πjujG˜xjjuj2.

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