Abstract

The density of wave-front dislocations for optical fields as a function of radiation parameters is investigated both theoretically and experimentally. A field with dislocations cannot be conjugated by means of flexible adaptive mirrors.

© 1983 Optical Society of America

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References

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  1. M. V. Berry, J. F. Nye, and F. J. Wright, Phil. Trans. R. Soc. London Ser. A 291, p. 454 (1979).
  2. J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).
    [Crossref]
  3. F. J. Wright, in Structural Stability in Physics, W. Gütting and H. Eikemeier, eds. (Springer-Verlag, Berlin, 1979).
  4. N. B. Baranova and B. Ya. Zel’dovich, Zh. Eksp. Teor. Fiz. 80, 1789 (1981).
  5. N. B. Baranova, B. Ya. Zel’dovich, A. V. Mamaev, N. F. Pilipetsky, and V. V. Shkunov, Pis’ma Zh. Eksp. Teor. Fiz. 33, 206 (1981).
  6. Special issue on adaptive optics, J. Opt. Soc. Am. 67(3) (1977).
  7. A. Ishimaru, Opt. Eng. 20, 063 (1981).
    [Crossref]

1981 (3)

N. B. Baranova and B. Ya. Zel’dovich, Zh. Eksp. Teor. Fiz. 80, 1789 (1981).

N. B. Baranova, B. Ya. Zel’dovich, A. V. Mamaev, N. F. Pilipetsky, and V. V. Shkunov, Pis’ma Zh. Eksp. Teor. Fiz. 33, 206 (1981).

A. Ishimaru, Opt. Eng. 20, 063 (1981).
[Crossref]

1979 (1)

M. V. Berry, J. F. Nye, and F. J. Wright, Phil. Trans. R. Soc. London Ser. A 291, p. 454 (1979).

1977 (1)

Special issue on adaptive optics, J. Opt. Soc. Am. 67(3) (1977).

1974 (1)

J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).
[Crossref]

Baranova, N. B.

N. B. Baranova and B. Ya. Zel’dovich, Zh. Eksp. Teor. Fiz. 80, 1789 (1981).

N. B. Baranova, B. Ya. Zel’dovich, A. V. Mamaev, N. F. Pilipetsky, and V. V. Shkunov, Pis’ma Zh. Eksp. Teor. Fiz. 33, 206 (1981).

Berry, M. V.

M. V. Berry, J. F. Nye, and F. J. Wright, Phil. Trans. R. Soc. London Ser. A 291, p. 454 (1979).

J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).
[Crossref]

Ishimaru, A.

A. Ishimaru, Opt. Eng. 20, 063 (1981).
[Crossref]

Mamaev, A. V.

N. B. Baranova, B. Ya. Zel’dovich, A. V. Mamaev, N. F. Pilipetsky, and V. V. Shkunov, Pis’ma Zh. Eksp. Teor. Fiz. 33, 206 (1981).

Nye, J. F.

M. V. Berry, J. F. Nye, and F. J. Wright, Phil. Trans. R. Soc. London Ser. A 291, p. 454 (1979).

J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).
[Crossref]

Pilipetsky, N. F.

N. B. Baranova, B. Ya. Zel’dovich, A. V. Mamaev, N. F. Pilipetsky, and V. V. Shkunov, Pis’ma Zh. Eksp. Teor. Fiz. 33, 206 (1981).

Shkunov, V. V.

N. B. Baranova, B. Ya. Zel’dovich, A. V. Mamaev, N. F. Pilipetsky, and V. V. Shkunov, Pis’ma Zh. Eksp. Teor. Fiz. 33, 206 (1981).

Wright, F. J.

M. V. Berry, J. F. Nye, and F. J. Wright, Phil. Trans. R. Soc. London Ser. A 291, p. 454 (1979).

F. J. Wright, in Structural Stability in Physics, W. Gütting and H. Eikemeier, eds. (Springer-Verlag, Berlin, 1979).

Zel’dovich, B. Ya.

N. B. Baranova, B. Ya. Zel’dovich, A. V. Mamaev, N. F. Pilipetsky, and V. V. Shkunov, Pis’ma Zh. Eksp. Teor. Fiz. 33, 206 (1981).

N. B. Baranova and B. Ya. Zel’dovich, Zh. Eksp. Teor. Fiz. 80, 1789 (1981).

J. Opt. Soc. Am. (1)

Special issue on adaptive optics, J. Opt. Soc. Am. 67(3) (1977).

Opt. Eng. (1)

A. Ishimaru, Opt. Eng. 20, 063 (1981).
[Crossref]

Phil. Trans. R. Soc. London Ser. A (1)

M. V. Berry, J. F. Nye, and F. J. Wright, Phil. Trans. R. Soc. London Ser. A 291, p. 454 (1979).

Pis’ma Zh. Eksp. Teor. Fiz. (1)

N. B. Baranova, B. Ya. Zel’dovich, A. V. Mamaev, N. F. Pilipetsky, and V. V. Shkunov, Pis’ma Zh. Eksp. Teor. Fiz. 33, 206 (1981).

Proc. R. Soc. London Ser. A (1)

J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).
[Crossref]

Zh. Eksp. Teor. Fiz. (1)

N. B. Baranova and B. Ya. Zel’dovich, Zh. Eksp. Teor. Fiz. 80, 1789 (1981).

Other (1)

F. J. Wright, in Structural Stability in Physics, W. Gütting and H. Eikemeier, eds. (Springer-Verlag, Berlin, 1979).

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Figures (5)

Fig. 1
Fig. 1

(a) Part of the signal-wave speckle pattern. (b) The same pattern but modulated by interference with a tilted reference wave. (c) Two dislocations of opposite signs.

Fig. 2
Fig. 2

Experimental points and theoretical line for (N)1/2 versus aperture diameter d.

Fig. 3
Fig. 3

Experimental points and theoretical line for N versus aperture width dx.

Fig. 4
Fig. 4

Interferogram of the signal wave (a) immediately behind the phase plate and (b) 4 cm and (c) 15 cm from it.

Fig. 5
Fig. 5

Experimental points and theoretical line for dislocation density ln N versus Ir/〈I〉.

Equations (4)

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2 i k E ( r , z ) z + Δ E ( r , z ) = 0
E ( r , z ) = e i α ( A x x + i A y y ) .
N S = d x d y δ [ E 1 ( x , y ) ] δ [ E 2 ( x , y ) ] | ( E 1 , E 2 ) ( x , y ) | .
N = 2 π λ 2 ( θ x 2 ¯ θ y 2 ¯ ) 1 / 2 .