Abstract

Several factors which make the statistics of image plane speckle different from far-field speckle are reviewed.

© 1976 Optical Society of America

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References

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  1. J. C. Dainty (editor), Laser Speckle and Related Phenomena (Springer-Verlag, Berlin, 1975).
  2. J. Ohtsubo and T. AsakuraOpt. Commun. 14, 30–34 (1975).
    [CrossRef]
  3. J. W. Goodman, Opt. Commun. 14, 324–327 (1975).
    [CrossRef]
  4. P. Dumontet, Optica Acta 2, 53–63 (1975).
    [CrossRef]
  5. E. R. Jakeman and W. T. Welford (to be published).
  6. H. Kogelnik and T. Li, Appl. Opt. 5, 1550–1567 (1966).
    [CrossRef] [PubMed]
  7. T. S. McKechnie, paper presented at Asilomar meeting.
  8. W. T. Welford, Opt. Quantum Electron. 7, 413–416 (1975).
    [CrossRef]

1975 (4)

J. Ohtsubo and T. AsakuraOpt. Commun. 14, 30–34 (1975).
[CrossRef]

J. W. Goodman, Opt. Commun. 14, 324–327 (1975).
[CrossRef]

P. Dumontet, Optica Acta 2, 53–63 (1975).
[CrossRef]

W. T. Welford, Opt. Quantum Electron. 7, 413–416 (1975).
[CrossRef]

1966 (1)

Asakura, T.

J. Ohtsubo and T. AsakuraOpt. Commun. 14, 30–34 (1975).
[CrossRef]

Dumontet, P.

P. Dumontet, Optica Acta 2, 53–63 (1975).
[CrossRef]

Goodman, J. W.

J. W. Goodman, Opt. Commun. 14, 324–327 (1975).
[CrossRef]

Jakeman, E. R.

E. R. Jakeman and W. T. Welford (to be published).

Kogelnik, H.

Li, T.

McKechnie, T. S.

T. S. McKechnie, paper presented at Asilomar meeting.

Ohtsubo, J.

J. Ohtsubo and T. AsakuraOpt. Commun. 14, 30–34 (1975).
[CrossRef]

Welford, W. T.

W. T. Welford, Opt. Quantum Electron. 7, 413–416 (1975).
[CrossRef]

E. R. Jakeman and W. T. Welford (to be published).

Appl. Opt. (1)

Opt. Commun. (2)

J. Ohtsubo and T. AsakuraOpt. Commun. 14, 30–34 (1975).
[CrossRef]

J. W. Goodman, Opt. Commun. 14, 324–327 (1975).
[CrossRef]

Opt. Quantum Electron. (1)

W. T. Welford, Opt. Quantum Electron. 7, 413–416 (1975).
[CrossRef]

Optica Acta (1)

P. Dumontet, Optica Acta 2, 53–63 (1975).
[CrossRef]

Other (3)

E. R. Jakeman and W. T. Welford (to be published).

T. S. McKechnie, paper presented at Asilomar meeting.

J. C. Dainty (editor), Laser Speckle and Related Phenomena (Springer-Verlag, Berlin, 1975).

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Figures (4)

FIG. 1
FIG. 1

Images of a phase object with sinusoidal phase distribution, (a) in focus, (b) defocused λ/4.

FIG. 2
FIG. 2

Spatial filtering optical system: the optical path length from object to image is the same along all principal rays, provided the lenses are aberration free.

FIG. 3
FIG. 3

Conventional optical system with aperture stop at the lens. The optical path length from object to image changes with the inclination of the principal ray.

FIG. 4
FIG. 4

The curved mean phase front in the point spread function, and the phase jumps from a hard-edged pupil.

Equations (4)

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A exp ( i k a cos 2 π s ξ ) = A n = - J n ( k a ) exp i 2 π n s ξ .
I ( ξ ) = A 2 [ J 0 2 ( k a ) + 4 J 1 2 ( k a ) sin 2 2 π s ξ ] .
I 1 ( ξ ) = A 2 [ J 0 2 ( k a ) + 4 J 1 2 ( k a ) sin 2 2 π s ξ - 4 J 0 ( k a ) J 1 ( k a ) sin 2 π s ξ ] .
k ξ 2 / 2 l 1 , l / ξ k w 1 ,