Abstract

A method is described by which a wavefront-reconstruction technique is utilized to record the effects of a turbulent medium on the propagation of optical beams. By this technique both amplitude and phase information in a two-dimensional cross section of a received optical beam are recorded. The mode structure of the source is not seen to be critical in this application.

© 1971 Optical Society of America

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References

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  1. E. N. Leith, J. Upatnieks, J. Soc. Photo. Instrum. Eng. 4, 3 (1965).
  2. H. Kogelnik, Bell Syst. Tech. J. XLIV, 2451 (1965).
  3. J. W. Goodman, W. H. Huntley, D. W. Jackson, M. Lehmann, Appl. Phys. Lett. 8, 311 (1966).
    [CrossRef]
  4. J. D. Gaskill, J. Opt. Soc. Amer. 59, 308 (1969).
    [CrossRef]
  5. P. H. Deitz, N. J. Wright, J. Opt. Soc. Amer. 59, 527 (1969).
    [CrossRef]
  6. H. P. Barber, Appl. Opt. 7, 559 (1968).
    [CrossRef] [PubMed]
  7. D. Gabor, G. W. Stroke, D. Brumm, A. Funkhouser, A. Labeyrie, Nature 208, 1159 (1965).
    [CrossRef]
  8. L. O. Heflinger, R. F. Wuerker, R. E. Brooks, J. Appl. Phys. 37, 642 (1966).
    [CrossRef]
  9. T. S. Jaseja, A. Javan, C. H. Townes, Phys. Rev. Lett. 10, 165 (1963).
    [CrossRef]
  10. M. J. Beran, G. B. Parrent, Theory of Partial Coherence (Prentice-Hall, Englewood Cliffs, N.J., 1964), Eq. (4-4).
  11. W. B. Bridges, Research Rept. No. 389, Hughes Research Laboratories (Malibu), July (1968).
  12. S. Lowenthal, E. Leiba, M. Lucas, A. Werts, Compt. Rend. Acad. Sci. Paris 226(B), 1363 (1968).
  13. J. S. Chivian, R. N. Claytor, D. D. Eden, Appl. Phys. Lett. 15, 123 (1969).
    [CrossRef]
  14. J. G. Hirschberg, Rep. MIAPH-OP-69.12, Physics Dept., U. of Miami (1969).
  15. W. E. Woodmansee, Appl. Opt. 7, 1721 (1968).
    [CrossRef] [PubMed]
  16. J. L. Fergason, Appl. Opt. 7, 1729 (1968).
    [CrossRef] [PubMed]
  17. S. Spinak, P. P. Barron, S. Karp, R. B. Hankin, R. H. Meier, Appl. Opt. 7, 17 (1968).
    [CrossRef] [PubMed]
  18. P. M. Livingston, P. H. Deitz, E. C. Alcaraz, J. Opt. Soc. Amer. 60, 925 (1970).
    [CrossRef]

1970 (1)

P. M. Livingston, P. H. Deitz, E. C. Alcaraz, J. Opt. Soc. Amer. 60, 925 (1970).
[CrossRef]

1969 (3)

J. S. Chivian, R. N. Claytor, D. D. Eden, Appl. Phys. Lett. 15, 123 (1969).
[CrossRef]

J. D. Gaskill, J. Opt. Soc. Amer. 59, 308 (1969).
[CrossRef]

P. H. Deitz, N. J. Wright, J. Opt. Soc. Amer. 59, 527 (1969).
[CrossRef]

1968 (5)

1966 (2)

J. W. Goodman, W. H. Huntley, D. W. Jackson, M. Lehmann, Appl. Phys. Lett. 8, 311 (1966).
[CrossRef]

L. O. Heflinger, R. F. Wuerker, R. E. Brooks, J. Appl. Phys. 37, 642 (1966).
[CrossRef]

1965 (3)

D. Gabor, G. W. Stroke, D. Brumm, A. Funkhouser, A. Labeyrie, Nature 208, 1159 (1965).
[CrossRef]

E. N. Leith, J. Upatnieks, J. Soc. Photo. Instrum. Eng. 4, 3 (1965).

H. Kogelnik, Bell Syst. Tech. J. XLIV, 2451 (1965).

1963 (1)

T. S. Jaseja, A. Javan, C. H. Townes, Phys. Rev. Lett. 10, 165 (1963).
[CrossRef]

Alcaraz, E. C.

P. M. Livingston, P. H. Deitz, E. C. Alcaraz, J. Opt. Soc. Amer. 60, 925 (1970).
[CrossRef]

Barber, H. P.

Barron, P. P.

Beran, M. J.

M. J. Beran, G. B. Parrent, Theory of Partial Coherence (Prentice-Hall, Englewood Cliffs, N.J., 1964), Eq. (4-4).

Bridges, W. B.

W. B. Bridges, Research Rept. No. 389, Hughes Research Laboratories (Malibu), July (1968).

Brooks, R. E.

L. O. Heflinger, R. F. Wuerker, R. E. Brooks, J. Appl. Phys. 37, 642 (1966).
[CrossRef]

Brumm, D.

D. Gabor, G. W. Stroke, D. Brumm, A. Funkhouser, A. Labeyrie, Nature 208, 1159 (1965).
[CrossRef]

Chivian, J. S.

J. S. Chivian, R. N. Claytor, D. D. Eden, Appl. Phys. Lett. 15, 123 (1969).
[CrossRef]

Claytor, R. N.

J. S. Chivian, R. N. Claytor, D. D. Eden, Appl. Phys. Lett. 15, 123 (1969).
[CrossRef]

Deitz, P. H.

P. M. Livingston, P. H. Deitz, E. C. Alcaraz, J. Opt. Soc. Amer. 60, 925 (1970).
[CrossRef]

P. H. Deitz, N. J. Wright, J. Opt. Soc. Amer. 59, 527 (1969).
[CrossRef]

Eden, D. D.

J. S. Chivian, R. N. Claytor, D. D. Eden, Appl. Phys. Lett. 15, 123 (1969).
[CrossRef]

Fergason, J. L.

Funkhouser, A.

D. Gabor, G. W. Stroke, D. Brumm, A. Funkhouser, A. Labeyrie, Nature 208, 1159 (1965).
[CrossRef]

Gabor, D.

D. Gabor, G. W. Stroke, D. Brumm, A. Funkhouser, A. Labeyrie, Nature 208, 1159 (1965).
[CrossRef]

Gaskill, J. D.

J. D. Gaskill, J. Opt. Soc. Amer. 59, 308 (1969).
[CrossRef]

Goodman, J. W.

J. W. Goodman, W. H. Huntley, D. W. Jackson, M. Lehmann, Appl. Phys. Lett. 8, 311 (1966).
[CrossRef]

Hankin, R. B.

Heflinger, L. O.

L. O. Heflinger, R. F. Wuerker, R. E. Brooks, J. Appl. Phys. 37, 642 (1966).
[CrossRef]

Hirschberg, J. G.

J. G. Hirschberg, Rep. MIAPH-OP-69.12, Physics Dept., U. of Miami (1969).

Huntley, W. H.

J. W. Goodman, W. H. Huntley, D. W. Jackson, M. Lehmann, Appl. Phys. Lett. 8, 311 (1966).
[CrossRef]

Jackson, D. W.

J. W. Goodman, W. H. Huntley, D. W. Jackson, M. Lehmann, Appl. Phys. Lett. 8, 311 (1966).
[CrossRef]

Jaseja, T. S.

T. S. Jaseja, A. Javan, C. H. Townes, Phys. Rev. Lett. 10, 165 (1963).
[CrossRef]

Javan, A.

T. S. Jaseja, A. Javan, C. H. Townes, Phys. Rev. Lett. 10, 165 (1963).
[CrossRef]

Karp, S.

Kogelnik, H.

H. Kogelnik, Bell Syst. Tech. J. XLIV, 2451 (1965).

Labeyrie, A.

D. Gabor, G. W. Stroke, D. Brumm, A. Funkhouser, A. Labeyrie, Nature 208, 1159 (1965).
[CrossRef]

Lehmann, M.

J. W. Goodman, W. H. Huntley, D. W. Jackson, M. Lehmann, Appl. Phys. Lett. 8, 311 (1966).
[CrossRef]

Leiba, E.

S. Lowenthal, E. Leiba, M. Lucas, A. Werts, Compt. Rend. Acad. Sci. Paris 226(B), 1363 (1968).

Leith, E. N.

E. N. Leith, J. Upatnieks, J. Soc. Photo. Instrum. Eng. 4, 3 (1965).

Livingston, P. M.

P. M. Livingston, P. H. Deitz, E. C. Alcaraz, J. Opt. Soc. Amer. 60, 925 (1970).
[CrossRef]

Lowenthal, S.

S. Lowenthal, E. Leiba, M. Lucas, A. Werts, Compt. Rend. Acad. Sci. Paris 226(B), 1363 (1968).

Lucas, M.

S. Lowenthal, E. Leiba, M. Lucas, A. Werts, Compt. Rend. Acad. Sci. Paris 226(B), 1363 (1968).

Meier, R. H.

Parrent, G. B.

M. J. Beran, G. B. Parrent, Theory of Partial Coherence (Prentice-Hall, Englewood Cliffs, N.J., 1964), Eq. (4-4).

Spinak, S.

Stroke, G. W.

D. Gabor, G. W. Stroke, D. Brumm, A. Funkhouser, A. Labeyrie, Nature 208, 1159 (1965).
[CrossRef]

Townes, C. H.

T. S. Jaseja, A. Javan, C. H. Townes, Phys. Rev. Lett. 10, 165 (1963).
[CrossRef]

Upatnieks, J.

E. N. Leith, J. Upatnieks, J. Soc. Photo. Instrum. Eng. 4, 3 (1965).

Werts, A.

S. Lowenthal, E. Leiba, M. Lucas, A. Werts, Compt. Rend. Acad. Sci. Paris 226(B), 1363 (1968).

Woodmansee, W. E.

Wright, N. J.

P. H. Deitz, N. J. Wright, J. Opt. Soc. Amer. 59, 527 (1969).
[CrossRef]

Wuerker, R. F.

L. O. Heflinger, R. F. Wuerker, R. E. Brooks, J. Appl. Phys. 37, 642 (1966).
[CrossRef]

Appl. Opt. (4)

Appl. Phys. Lett. (2)

J. W. Goodman, W. H. Huntley, D. W. Jackson, M. Lehmann, Appl. Phys. Lett. 8, 311 (1966).
[CrossRef]

J. S. Chivian, R. N. Claytor, D. D. Eden, Appl. Phys. Lett. 15, 123 (1969).
[CrossRef]

Bell Syst. Tech. J. (1)

H. Kogelnik, Bell Syst. Tech. J. XLIV, 2451 (1965).

Compt. Rend. Acad. Sci. Paris (1)

S. Lowenthal, E. Leiba, M. Lucas, A. Werts, Compt. Rend. Acad. Sci. Paris 226(B), 1363 (1968).

J. Appl. Phys. (1)

L. O. Heflinger, R. F. Wuerker, R. E. Brooks, J. Appl. Phys. 37, 642 (1966).
[CrossRef]

J. Opt. Soc. Amer. (3)

J. D. Gaskill, J. Opt. Soc. Amer. 59, 308 (1969).
[CrossRef]

P. H. Deitz, N. J. Wright, J. Opt. Soc. Amer. 59, 527 (1969).
[CrossRef]

P. M. Livingston, P. H. Deitz, E. C. Alcaraz, J. Opt. Soc. Amer. 60, 925 (1970).
[CrossRef]

J. Soc. Photo. Instrum. Eng. (1)

E. N. Leith, J. Upatnieks, J. Soc. Photo. Instrum. Eng. 4, 3 (1965).

Nature (1)

D. Gabor, G. W. Stroke, D. Brumm, A. Funkhouser, A. Labeyrie, Nature 208, 1159 (1965).
[CrossRef]

Phys. Rev. Lett. (1)

T. S. Jaseja, A. Javan, C. H. Townes, Phys. Rev. Lett. 10, 165 (1963).
[CrossRef]

Other (3)

M. J. Beran, G. B. Parrent, Theory of Partial Coherence (Prentice-Hall, Englewood Cliffs, N.J., 1964), Eq. (4-4).

W. B. Bridges, Research Rept. No. 389, Hughes Research Laboratories (Malibu), July (1968).

J. G. Hirschberg, Rep. MIAPH-OP-69.12, Physics Dept., U. of Miami (1969).

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Figures (4)

Fig. 1
Fig. 1

Ray diagram of optical assembly.

Fig. 2
Fig. 2

Reconstruction view past two narrow obstacles in the near field. Source is located over the right obstacle; near field (obstacles) in focus in (a) and far field (source) in focus in (b). Source out of focus in (a) exhibits coma due to receiver characteristics.

Fig. 3
Fig. 3

Second reconstruction view; source is behind the left (taller) obstacle. Near field in focus in (a) and far field in (b).

Fig. 4
Fig. 4

Third reconstruction view; source is to the left of the obstacles. Focal plane in near-field focus in (a) and far field in (b).

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