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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 67, Iss. 3 — Mar. 1, 1977
  • pp: 378–382

Optimal wave-front estimation

Richard H. Hudgin  »View Author Affiliations


JOSA, Vol. 67, Issue 3, pp. 378-382 (1977)
http://dx.doi.org/10.1364/JOSA.67.000378


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Abstract

In a compensated imaging (CI) system the wave-front distortion is changing randomly in time and the data processing must follow the changes and even, to some extent, predict them. Furthermore, the system is not infinitely fast; it has time delays and bandwidth limitations which can be quite significant. Couple to this the substantial photon noise in the wave-front measurements, and it becomes desirable to find the optimal data processing to use for system control. This paper derives the optimal linear control algorithm assuming the aberration and noise statistics are known for a compensated imaging system, and discusses the properties of this algorithm.

© 1977 the Optical Society of America

Citation
Richard H. Hudgin, "Optimal wave-front estimation," J. Opt. Soc. Am. 67, 378-382 (1977)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-67-3-378


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References

  1. J. Hardy, J. Lefebvre, and C. Koliopoulos, "Real-time atmospheric compensation," J. Opt. Soc. Am. 67, 360–369 (1977) (this issue).
  2. J. Hardy, C. Koliopoulos, and K. Bowker, "Real-time AC grating interferometer wavefront sensor,"(unpublished).
  3. R. Hudgin, "Wave-front reconstruction for compensated imaging," J. Opt. Soc. Am. 67, 375–378 (1977) (previous paper).
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  8. Analog Data Processor, U. S. Patent, 3,921,080 November 18, 1975, Assigned to Itek Corporation, Lexington, Mass.
  9. J. Feinleib, S. G. Lipson, and P. F. Cone, "Monolithic Piezoelectric mirror for wavefront correction," Appl. Phys. Lett. 25, 311 (1974).
  10. J. W. Hardy, C. L. Koliopoulos, and J. K. Bowker," Radial Grating A. C. Interferometer,"(unpublished).
  11. Freeman J. Dyson, "Photon noise and atmospheric noise in active optical systems," J. Opt. Soc. Am. 65, 551–558 (1975).
  12. R. Hudgin, "Wave-front compensation error due to finite corrector-element size," J. Opt. Soc. Am. 67, 393–395 (1977) (this issue).
  13. E. Wallner, "Minimizing atmospheric dispersion effects in compensated imaging," J. Opt. Soc. Am. 67, 407–409 (1977) (this issue).

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