Abstract

Accurate prediction of the short-term future behavior of atmospherically distorted wave fronts would permit the elimination of delays inherent in current adaptive-optics systems. It is shown by using astronomical image data that atmospherically induced wave-front distortions as represented by time series of wave-front tips and tilts measured in the visible and piston values measured in the infrared are predictable to a degree that would be useful in an adaptive-optics system. Adaptive linear predictors as well as predictors based on the back-propagation neural network are employed in this study.

© 1992 Optical Society of America

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References

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  1. T. J. Kane, C. S. Gardner, L. A. Thompson, Appl. Opt. 30, 214 (1991).
    [CrossRef] [PubMed]
  2. M. B. Jorgenson, G. J. M. Aitken, E. K. Hege, Opt. Lett. 16, 64 (1991).
    [CrossRef] [PubMed]
  3. D. E. Rumelhart, G. E. Hinton, R. J. Williams, Nature (London) 323, 533 (1985).
    [CrossRef]
  4. A. Lapedes, R. Farber, in Neural Information Processing Systems, D. Anderson, ed. (American Institute of Physics, New York, 1988), p. 442.
  5. A. S. Weigend, D. E. Rumelhart, B. A. Huberman, in Proceedings of the 1990 Connectionist Models Summer School, D. S. Touretzky, J. L. Elman, T. J. Sejnowski, G. E. Hinton, eds. (Morgan Kaufmann, San Mateo, Calif., 1990), p. 105.
  6. B. Widrow, S. D. Stearns, Adaptive Signal Processing (Prentice-Hall, Englewood Cliffs, N.J., 1985).
  7. M. Lloyd-Hart, Ph.D. dissertation (University of Arizona, Tucson, Ariz., 1991).

1991 (2)

1985 (1)

D. E. Rumelhart, G. E. Hinton, R. J. Williams, Nature (London) 323, 533 (1985).
[CrossRef]

Aitken, G. J. M.

Farber, R.

A. Lapedes, R. Farber, in Neural Information Processing Systems, D. Anderson, ed. (American Institute of Physics, New York, 1988), p. 442.

Gardner, C. S.

Hege, E. K.

Hinton, G. E.

D. E. Rumelhart, G. E. Hinton, R. J. Williams, Nature (London) 323, 533 (1985).
[CrossRef]

Huberman, B. A.

A. S. Weigend, D. E. Rumelhart, B. A. Huberman, in Proceedings of the 1990 Connectionist Models Summer School, D. S. Touretzky, J. L. Elman, T. J. Sejnowski, G. E. Hinton, eds. (Morgan Kaufmann, San Mateo, Calif., 1990), p. 105.

Jorgenson, M. B.

Kane, T. J.

Lapedes, A.

A. Lapedes, R. Farber, in Neural Information Processing Systems, D. Anderson, ed. (American Institute of Physics, New York, 1988), p. 442.

Lloyd-Hart, M.

M. Lloyd-Hart, Ph.D. dissertation (University of Arizona, Tucson, Ariz., 1991).

Rumelhart, D. E.

D. E. Rumelhart, G. E. Hinton, R. J. Williams, Nature (London) 323, 533 (1985).
[CrossRef]

A. S. Weigend, D. E. Rumelhart, B. A. Huberman, in Proceedings of the 1990 Connectionist Models Summer School, D. S. Touretzky, J. L. Elman, T. J. Sejnowski, G. E. Hinton, eds. (Morgan Kaufmann, San Mateo, Calif., 1990), p. 105.

Stearns, S. D.

B. Widrow, S. D. Stearns, Adaptive Signal Processing (Prentice-Hall, Englewood Cliffs, N.J., 1985).

Thompson, L. A.

Weigend, A. S.

A. S. Weigend, D. E. Rumelhart, B. A. Huberman, in Proceedings of the 1990 Connectionist Models Summer School, D. S. Touretzky, J. L. Elman, T. J. Sejnowski, G. E. Hinton, eds. (Morgan Kaufmann, San Mateo, Calif., 1990), p. 105.

Widrow, B.

B. Widrow, S. D. Stearns, Adaptive Signal Processing (Prentice-Hall, Englewood Cliffs, N.J., 1985).

Williams, R. J.

D. E. Rumelhart, G. E. Hinton, R. J. Williams, Nature (London) 323, 533 (1985).
[CrossRef]

Appl. Opt. (1)

Nature (London) (1)

D. E. Rumelhart, G. E. Hinton, R. J. Williams, Nature (London) 323, 533 (1985).
[CrossRef]

Opt. Lett. (1)

Other (4)

A. Lapedes, R. Farber, in Neural Information Processing Systems, D. Anderson, ed. (American Institute of Physics, New York, 1988), p. 442.

A. S. Weigend, D. E. Rumelhart, B. A. Huberman, in Proceedings of the 1990 Connectionist Models Summer School, D. S. Touretzky, J. L. Elman, T. J. Sejnowski, G. E. Hinton, eds. (Morgan Kaufmann, San Mateo, Calif., 1990), p. 105.

B. Widrow, S. D. Stearns, Adaptive Signal Processing (Prentice-Hall, Englewood Cliffs, N.J., 1985).

M. Lloyd-Hart, Ph.D. dissertation (University of Arizona, Tucson, Ariz., 1991).

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Figures (4)

Fig. 1
Fig. 1

Neural network prediction of wave-front tilts.

Fig. 2
Fig. 2

Error pdf ratios of predictive versus lagging systems.

Fig. 3
Fig. 3

Fringe patterns with mirror separations of 2.5 m. (a) Instantaneous piston correction values, (b) 59.4-ms delay in piston correction, (c) piston corrections derived from a NN prediction 59.4 ms in advance.

Fig. 4
Fig. 4

Slices through fringe patterns obtained with (a) predictions 59.4 ms in advance and mirror separations of 2.5 m and (b) predictions 118.8 ms in advance and mirror separations of 4.3 m.

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