Abstract

The structure and dynamics of speckles formed by a weak diffuser in the presence of severe spherical aberration have been studied. Two cases were considered. In the first case the diffuser is treated as an object, and the speckles are observed in the paraxial, least confusion, and marginal planes. In the second case the diffuser placed in various planes is illuminated by a spherically aberrated wave front from a lens. The results are illustrated by photographs, and heuristic arguments are given to account for them.

© 1980 Optical Society of America

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References

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  1. E. Archbold, A. E. Ennos, Opt. Acta 19, 253 (1972).
    [CrossRef]
  2. K. A. Stetson, J. Opt. Soc. Am. 67, 1587 (1977).
    [CrossRef]
  3. K. A. Stetson, in Speckle Metrology, R. K. Erf, Ed. (Academic, New York, 1978), Chap. 10, p. 295.
    [CrossRef]
  4. M. L. Roblin, G. Schalow, B. Chourabi, J. Opt. (Paris) 8, 149 (1977).
    [CrossRef]
  5. M. Menu, M. L. Roblin, J. Opt. (Paris) 10, 71 (1979).
    [CrossRef]
  6. L. H. Tanner, Appl. Opt. 13, 2026 (1974).
    [CrossRef] [PubMed]
  7. K. Ouchi, Opt. Quantum Electron. 11, 345 (1979).
    [CrossRef]
  8. R. D. Bahuguna, K. K. Gupta, K. Singh, J. Opt. Soc. Am. 69, 877 (1979).
    [CrossRef]
  9. L. H. Tanner, Brighton Polytechnic (U.K.); private communication.
  10. This assumption has been considered only for the sake of simplicity as the energy spread by a diffuser is in general not uniform. See J. M. Elson, J. M. Bennett, J. Opt. Soc. Am. 69, 31 (1979).
    [CrossRef]

1979 (4)

1977 (2)

K. A. Stetson, J. Opt. Soc. Am. 67, 1587 (1977).
[CrossRef]

M. L. Roblin, G. Schalow, B. Chourabi, J. Opt. (Paris) 8, 149 (1977).
[CrossRef]

1974 (1)

1972 (1)

E. Archbold, A. E. Ennos, Opt. Acta 19, 253 (1972).
[CrossRef]

Archbold, E.

E. Archbold, A. E. Ennos, Opt. Acta 19, 253 (1972).
[CrossRef]

Bahuguna, R. D.

Bennett, J. M.

Chourabi, B.

M. L. Roblin, G. Schalow, B. Chourabi, J. Opt. (Paris) 8, 149 (1977).
[CrossRef]

Elson, J. M.

Ennos, A. E.

E. Archbold, A. E. Ennos, Opt. Acta 19, 253 (1972).
[CrossRef]

Gupta, K. K.

Menu, M.

M. Menu, M. L. Roblin, J. Opt. (Paris) 10, 71 (1979).
[CrossRef]

Ouchi, K.

K. Ouchi, Opt. Quantum Electron. 11, 345 (1979).
[CrossRef]

Roblin, M. L.

M. Menu, M. L. Roblin, J. Opt. (Paris) 10, 71 (1979).
[CrossRef]

M. L. Roblin, G. Schalow, B. Chourabi, J. Opt. (Paris) 8, 149 (1977).
[CrossRef]

Schalow, G.

M. L. Roblin, G. Schalow, B. Chourabi, J. Opt. (Paris) 8, 149 (1977).
[CrossRef]

Singh, K.

Stetson, K. A.

K. A. Stetson, J. Opt. Soc. Am. 67, 1587 (1977).
[CrossRef]

K. A. Stetson, in Speckle Metrology, R. K. Erf, Ed. (Academic, New York, 1978), Chap. 10, p. 295.
[CrossRef]

Tanner, L. H.

L. H. Tanner, Appl. Opt. 13, 2026 (1974).
[CrossRef] [PubMed]

L. H. Tanner, Brighton Polytechnic (U.K.); private communication.

Appl. Opt. (1)

J. Opt. (Paris) (2)

M. L. Roblin, G. Schalow, B. Chourabi, J. Opt. (Paris) 8, 149 (1977).
[CrossRef]

M. Menu, M. L. Roblin, J. Opt. (Paris) 10, 71 (1979).
[CrossRef]

J. Opt. Soc. Am. (3)

Opt. Acta (1)

E. Archbold, A. E. Ennos, Opt. Acta 19, 253 (1972).
[CrossRef]

Opt. Quantum Electron. (1)

K. Ouchi, Opt. Quantum Electron. 11, 345 (1979).
[CrossRef]

Other (2)

L. H. Tanner, Brighton Polytechnic (U.K.); private communication.

K. A. Stetson, in Speckle Metrology, R. K. Erf, Ed. (Academic, New York, 1978), Chap. 10, p. 295.
[CrossRef]

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Figures (10)

Fig. 1
Fig. 1

Speckle formation with weak diffuser in presence of severe spherical aberration.

Fig. 2
Fig. 2

Speckles by weak diffuser WD illuminated by spherically aberrated lens L. S is point source formed by laser light, A is aperture, and T is observation plane.

Fig. 3
Fig. 3

Speckle pattern at plane T with diffuser in paraxial plane: (a) diffuser at rest; (b) for vertical translatory motion of diffuser.

Fig. 4
Fig. 4

Speckle pattern at plane T with diffuser in least confusion plane: (a) diffuser at rest; (b) for a vertical translatory motion of diffuser.

Fig. 5
Fig. 5

Speckle pattern at plane T with diffuser in plane between marginal plane and lens: (a) diffuser at rest; (b) for a vertical translatory motion of diffuser.

Fig. 6
Fig. 6

Pattern at plane T due to point obstruction placed at paraxial plane: (a) at optical axis; (b) shifted horizontally.

Fig. 7
Fig. 7

Pattern at plane T due to line obstruction placed in the paraxial plane: (a) crossing axis; (b), (c) with increasing horizontal shifts.

Fig. 8
Fig. 8

Pattern at plane T due to point obstruction at least confusion plane: (a) point on axis; (b), (c) with increasing horizontal shifts. Regions marked โˆŠ1 and โˆŠ3 correspond to elongated speckles near rim and โˆŠ2 to radially streaky speckles near center.

Fig. 9
Fig. 9

Pattern at plane T due to line obstruction placed in least confusion plane: (a) crosssing axis; (b), (c) with increasing horizontal shifts.

Fig. 10
Fig. 10

Pattern due to vertical grating structure in least confusion plane.

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