Abstract

The phase degradation of an optical wave front distorted by turbulence in the propagation medium may be corrected in a piecewise-linear fashion by using an array of small circular mirrors. An option in the correction scheme is to compensate for overall tilt separately. We have evaluated power spectra and variances of the piston and tilt motions of the mirror segments as well as the motion of the overall tilt corrector. The form of the spectra for any propagation medium is an aperture integral of the product of the phase-difference power spectrum, describing the medium, and a generalized transfer function, representing the aperture and its segments. In the case of low-power atmospheric propagation, the necessary propagation results are linear in turbulence strength; hence the path may be sectioned into a large number of thin slices. A set of standard curves is found to represent a generalized slice, and the differential contributions may be summed to represent any propagation path. The standard curves, further modeled in terms of power-law dependencies, are practical for use on a desk calculator.

© 1976 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |

  1. R. A. Muller and A. Buffington, J. Opt. Soc. Am. 64, 1200 (1974).
  2. J. W. Hardy, J. Feinleib, and J. C. Wyant, Digest, Topical Meeting on Optical Propagation Through Turbulence, O. S. A., July 1974, paper ThB1.
  3. L. Miller, W. P. Brown, Jr., J. A. Jenney, and T. R. O'Meara, Digest, Topical Meeting on Optical Propagation Through Turbulence, O. S. A., July 1974, paper ThB2.
  4. J. E. Pearson, W. B. Bridges, L. S. Horowitz, T. J. Walsh, R. F. Ogrodnik, Digest, Topical Meeting on Optical Propagation Through Turbulence, O. S. A., July 1974, paper ThB5.
  5. D. L. Fried, Digest, Topical Meeting on Optical Propagation Through Turbulence, O. S. A., July 1974, paper TuA6.
  6. V. N. Mahajan, J. Opt. Soc. Am. 65, 271 (1975).
  7. D. L. Fried and H. T. Yura, J. Opt. Soc. Am. 62, 600 (1972).
  8. H. V. Hance and D. L. Fried, J. Opt. Soc. Am. 63, 1015 (1973).
  9. V. I. Tatarskii, The Effects of the Turbulent Atmosphere on Wave Propagation, (U. S. Dept. of Commerce, Washington, D. C., NTIS T68-50464, 1971).
  10. J. W. Strohbehn, Proc. IEEE 56, 1301 (1968).
  11. J. L. Bufton, Digest, Topical Meeting on Optical Propagation Through Turbulence, O. S. A., July 1974, paper WA3.
  12. R. S. Lawrence, G. R. Ochs, and S. F. Clifford, J. Opt. Soc. Am. 60, 826 (1970).
  13. R. W. Lee and J. C. Harp, Proc. IEEE 57, 375 (1969).
  14. S. F. Clifford, J. Opt. Soc. Am. 61, 1285 (1971).
  15. G. W. Reinhardt and S. A. Collins, Jr., J. Opt. Soc. Am. 62, 1526 (1972).
  16. R. F. Lutomirski and E. G. Buser, Appl. Opt. 13, 2869 (1974).
  17. R. S. Lawrence and J. W. Strohbehn, Proc. IEEE 58, 1523 (1970).
  18. D. L. Fried, Proc. IEEE 55, 57 (1967).
  19. D. L. Fried, J. Opt. Soc. Am. 57, 175 (1967).

Brown, Jr., W. P.

L. Miller, W. P. Brown, Jr., J. A. Jenney, and T. R. O'Meara, Digest, Topical Meeting on Optical Propagation Through Turbulence, O. S. A., July 1974, paper ThB2.

Buffington, A.

R. A. Muller and A. Buffington, J. Opt. Soc. Am. 64, 1200 (1974).

Bufton, J. L.

J. L. Bufton, Digest, Topical Meeting on Optical Propagation Through Turbulence, O. S. A., July 1974, paper WA3.

Buser, E. G.

R. F. Lutomirski and E. G. Buser, Appl. Opt. 13, 2869 (1974).

Clifford, S. F.

R. S. Lawrence, G. R. Ochs, and S. F. Clifford, J. Opt. Soc. Am. 60, 826 (1970).

S. F. Clifford, J. Opt. Soc. Am. 61, 1285 (1971).

Collins, Jr., S. A.

G. W. Reinhardt and S. A. Collins, Jr., J. Opt. Soc. Am. 62, 1526 (1972).

Feinleib, J.

J. W. Hardy, J. Feinleib, and J. C. Wyant, Digest, Topical Meeting on Optical Propagation Through Turbulence, O. S. A., July 1974, paper ThB1.

Fried, D. L.

D. L. Fried, Digest, Topical Meeting on Optical Propagation Through Turbulence, O. S. A., July 1974, paper TuA6.

D. L. Fried and H. T. Yura, J. Opt. Soc. Am. 62, 600 (1972).

H. V. Hance and D. L. Fried, J. Opt. Soc. Am. 63, 1015 (1973).

D. L. Fried, Proc. IEEE 55, 57 (1967).

D. L. Fried, J. Opt. Soc. Am. 57, 175 (1967).

Hance, H. V.

H. V. Hance and D. L. Fried, J. Opt. Soc. Am. 63, 1015 (1973).

Hardy, J. W.

J. W. Hardy, J. Feinleib, and J. C. Wyant, Digest, Topical Meeting on Optical Propagation Through Turbulence, O. S. A., July 1974, paper ThB1.

Harp, J. C.

R. W. Lee and J. C. Harp, Proc. IEEE 57, 375 (1969).

Jenney, J. A.

L. Miller, W. P. Brown, Jr., J. A. Jenney, and T. R. O'Meara, Digest, Topical Meeting on Optical Propagation Through Turbulence, O. S. A., July 1974, paper ThB2.

Lawrence, R. S.

R. S. Lawrence and J. W. Strohbehn, Proc. IEEE 58, 1523 (1970).

R. S. Lawrence, G. R. Ochs, and S. F. Clifford, J. Opt. Soc. Am. 60, 826 (1970).

Lee, R. W.

R. W. Lee and J. C. Harp, Proc. IEEE 57, 375 (1969).

Lutomirski, R. F.

R. F. Lutomirski and E. G. Buser, Appl. Opt. 13, 2869 (1974).

Mahajan, V. N.

V. N. Mahajan, J. Opt. Soc. Am. 65, 271 (1975).

Miller, L.

L. Miller, W. P. Brown, Jr., J. A. Jenney, and T. R. O'Meara, Digest, Topical Meeting on Optical Propagation Through Turbulence, O. S. A., July 1974, paper ThB2.

Muller, R. A.

R. A. Muller and A. Buffington, J. Opt. Soc. Am. 64, 1200 (1974).

O’Meara, T. R.

L. Miller, W. P. Brown, Jr., J. A. Jenney, and T. R. O'Meara, Digest, Topical Meeting on Optical Propagation Through Turbulence, O. S. A., July 1974, paper ThB2.

Ochs, G. R.

R. S. Lawrence, G. R. Ochs, and S. F. Clifford, J. Opt. Soc. Am. 60, 826 (1970).

Pearson, J. E.

J. E. Pearson, W. B. Bridges, L. S. Horowitz, T. J. Walsh, R. F. Ogrodnik, Digest, Topical Meeting on Optical Propagation Through Turbulence, O. S. A., July 1974, paper ThB5.

Reinhardt, G. W.

G. W. Reinhardt and S. A. Collins, Jr., J. Opt. Soc. Am. 62, 1526 (1972).

Strohbehn, J. W.

J. W. Strohbehn, Proc. IEEE 56, 1301 (1968).

R. S. Lawrence and J. W. Strohbehn, Proc. IEEE 58, 1523 (1970).

Tatarskii, V. I.

V. I. Tatarskii, The Effects of the Turbulent Atmosphere on Wave Propagation, (U. S. Dept. of Commerce, Washington, D. C., NTIS T68-50464, 1971).

Wyant, J. C.

J. W. Hardy, J. Feinleib, and J. C. Wyant, Digest, Topical Meeting on Optical Propagation Through Turbulence, O. S. A., July 1974, paper ThB1.

Yura, H. T.

D. L. Fried and H. T. Yura, J. Opt. Soc. Am. 62, 600 (1972).

Other (19)

R. A. Muller and A. Buffington, J. Opt. Soc. Am. 64, 1200 (1974).

J. W. Hardy, J. Feinleib, and J. C. Wyant, Digest, Topical Meeting on Optical Propagation Through Turbulence, O. S. A., July 1974, paper ThB1.

L. Miller, W. P. Brown, Jr., J. A. Jenney, and T. R. O'Meara, Digest, Topical Meeting on Optical Propagation Through Turbulence, O. S. A., July 1974, paper ThB2.

J. E. Pearson, W. B. Bridges, L. S. Horowitz, T. J. Walsh, R. F. Ogrodnik, Digest, Topical Meeting on Optical Propagation Through Turbulence, O. S. A., July 1974, paper ThB5.

D. L. Fried, Digest, Topical Meeting on Optical Propagation Through Turbulence, O. S. A., July 1974, paper TuA6.

V. N. Mahajan, J. Opt. Soc. Am. 65, 271 (1975).

D. L. Fried and H. T. Yura, J. Opt. Soc. Am. 62, 600 (1972).

H. V. Hance and D. L. Fried, J. Opt. Soc. Am. 63, 1015 (1973).

V. I. Tatarskii, The Effects of the Turbulent Atmosphere on Wave Propagation, (U. S. Dept. of Commerce, Washington, D. C., NTIS T68-50464, 1971).

J. W. Strohbehn, Proc. IEEE 56, 1301 (1968).

J. L. Bufton, Digest, Topical Meeting on Optical Propagation Through Turbulence, O. S. A., July 1974, paper WA3.

R. S. Lawrence, G. R. Ochs, and S. F. Clifford, J. Opt. Soc. Am. 60, 826 (1970).

R. W. Lee and J. C. Harp, Proc. IEEE 57, 375 (1969).

S. F. Clifford, J. Opt. Soc. Am. 61, 1285 (1971).

G. W. Reinhardt and S. A. Collins, Jr., J. Opt. Soc. Am. 62, 1526 (1972).

R. F. Lutomirski and E. G. Buser, Appl. Opt. 13, 2869 (1974).

R. S. Lawrence and J. W. Strohbehn, Proc. IEEE 58, 1523 (1970).

D. L. Fried, Proc. IEEE 55, 57 (1967).

D. L. Fried, J. Opt. Soc. Am. 57, 175 (1967).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.