OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 67, Iss. 3 — Mar. 1, 1977
  • pp: 383–390

Optical resolution through a turbulent medium with adaptive phase compensations

J. Y. Wang  »View Author Affiliations

JOSA, Vol. 67, Issue 3, pp. 383-390 (1977)

View Full Text Article

Acrobat PDF (877 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The theory of short-term average modulation transfer function developed by Fried is extended by considering the correlation between the turbulence-induced phase distortion and the residual phase aberrations after adaptive phase compensations. Calculation of the optical resolution shows that the original approximation is valid for the normalized lens diameter D/r0 less than 4.0; conversely, for D/r0 greater than 4.0 the optical resolution becomes arbitrarily large because the MTF is unrealistically overcorrected at high spatial frequencies. The extended formulation is then applied to the cases with higher-order phase compensations such as focus and astigmatism. The peak optical resolution occurs at larger values of D/r0 when the higher-order corrections are included.

© 1977 Optical Society of America

J. Y. Wang, "Optical resolution through a turbulent medium with adaptive phase compensations," J. Opt. Soc. Am. 67, 383-390 (1977)

Sort:  Author  |  Journal  |  Reset


  1. V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw-Hill, New York, 1961).
  2. A. D. Varvatsis and M. I. Sancer, Can. J. Phys. 49, 1233 (1971).
  3. W. P. Brown, Jr., J. Opt. Soc. Am. 61, 1051 (1971).
  4. H. T. Yura, Appl. Opt. 10, 2771 (1971).
  5. D. A. deWolf, "Effects of Turbulence Instabilities on Laser Propagation," RADC-TR-72-119 (April 1972) (unpublished).
  6. D. L. Fried, J. Opt. Soc. Am. 56, 1372 (1966).
  7. D. L. Fried, Proc. IEEE 55, 57 (1967).
  8. R. F. Lutomirski and H. T. Yura, Appl. Opt. 10, 1652 (1971).
  9. G. R. Heidbreder, IEEE Trans. Antennas Propag. AP-15, 90 (1967).
  10. H. T. Yura, J. Opt. Soc. Am. 63, 567 (1973).
  11. T. Chiba, Appl. Opt. 10, 2456 (1971).
  12. J. A. Dowling and P. M. Livingston, J. Opt. Soc. Am. 63, 846 (1973).
  13. J. R. Dunphy and J. R. Kerr, J. Opt. Soc. Am. 64, 1015 (1974).
  14. W. T. Cathey, C. L. Hayes, W. C. Davis, and V. F. Pizzurro, Appl. Opt. 9, 701 (1970).
  15. J. E. Pearson, W. B. Bridges, S. Hansen, T. A. Nussmeier, and M. E. Pedinoff, Appl. Opt. 15, 611 (1976).
  16. A. Buffington, F. S. Crawford, R. A. Muller, A. J. Schwemiu, and R. G. Smith, "Active Image Restoration with a Flexible Mirror," in Proceedings of the SPIE, Imaging through the Atmosphere, Vol. 75, March 1976, p. 90.
  17. R. V. Wick and R. W. Goranson, "Infrared Position Sensing Detector: A Photopot for CO2 Lasers," in Laser Digest, AFWL-TR-75-229 (October 1975) (unpublished).
  18. J. C. Wyant, Appl. Opt. 14, 2622 (1975).
  19. J. Feinleib and J. W. Hardy, "Wideband Adaptive Optics for Imaging," in Proceedings of the SPIE, Imaging through the Atmosphere, Vol. 75, March 1976, p. 103.
  20. D. L. Fried, J. Opt. Soc. Am. 55, 1427 (1965).
  21. J. Herrmann, "Properties of Phase-Conjugate COAT," in Proceedings of the Optical Society of America Annual Meeting, Boston, October 1975, see J. Opt. Soc. Am. 65, 1212A (1975).
  22. D. R. Dean and L. T. James, "Adaptive Laser Optics Techniques (ALOT)," in Proceedings of the High Energy Laser Conference, San Diego, Calif., October 1975 (unpublished).
  23. M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1975), p. 465.
  24. C. B. Hogge and R. R. Butts, IEEE Trans. Antennas Propag. AP-24, 144 (1976).
  25. R. J. Noll, J. Opt. Soc. Am. 66, 207 (1976).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited