Abstract

We discuss the experimental conditions for which the resolution limit for astronomical speckle interferometry may be the diffraction limit. We show that the point spread function is not spatially statistically stationary with wavelength across the speckle patterns.

© 1976 Optical Society of America

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References

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  1. J. W. Harvey and J. B. Breckinridge, Astrophys. J. Lett. 182, L137–L139 (1973).
    [Crossref]
  2. J. W. Harvey and M. Schwartschild, Astrophys. J. 196, 221–226 (1975).
    [Crossref]
  3. A. Labeyrie, Nouv. Rev. Opt. 5, 141–151 (1974).
    [Crossref]
  4. D. Y. Gezari, A. Labeyrie, and R. V. Stachnik, Astrophys. J. 173, L1 (1975).
    [Crossref]
  5. S. P. Worden, Publ. Astron. Soc. Pacific 88, 69–72 (1976).
    [Crossref]
  6. K. Korff, J. Opt. Soc. Am. 63, 971 (1973).
    [Crossref]
  7. J. C. Dainty, Mon. Not. R. Astronom. Soc. 169, 631 (1974).
  8. T. Asakura, H. Fujii, and K. Murata, Opt. Acta 19, 273–290 (1972).
    [Crossref]
  9. N. George and A. Jain, Appl. Phys. 4, 201 (1974).
    [Crossref]
  10. G. Parry, Opt. Acta 21, 763 (1974).
    [Crossref]
  11. G. Parry, Laser Speckle, edited by J. C. Dainty (Springer-Verlag, Berlin, 1975).
  12. C. R. Lynds, S. P. Worden, and J. W. Harvey, Astrophys. J. 207, 174–180 (1976).
    [Crossref]
  13. K. T. Knox and B. J. Thompson, Astrophys. J. 193, L45 (1974).
    [Crossref]
  14. P. T. Gough and R. H. T. Bates, Opt. Acta 21, 243 (1974); and P. J. Napier and R. H. T. Bates, Astron. Astrophys. Suppl. 15, 427 (1974).
    [Crossref]
  15. D. L. Fried and G. E. Mevers, Appl. Opt. 13, 2620 (1974).
    [Crossref] [PubMed]
  16. J. W. Strohbehn, Prog. Opt. 9, 75–122 (1971).
  17. J. B. Breckinridge, J. Opt. Soc. Am. 66, 143 (1976).
    [Crossref]
  18. I. Ghozeil and J. Simmons, Appl. Opt. 13, 1773–1777 (1974).
    [Crossref] [PubMed]
  19. J. C. Dainty and R. Shaw, Image Science (Academic, New York, 1974), p. 160.

1976 (3)

S. P. Worden, Publ. Astron. Soc. Pacific 88, 69–72 (1976).
[Crossref]

C. R. Lynds, S. P. Worden, and J. W. Harvey, Astrophys. J. 207, 174–180 (1976).
[Crossref]

J. B. Breckinridge, J. Opt. Soc. Am. 66, 143 (1976).
[Crossref]

1975 (2)

J. W. Harvey and M. Schwartschild, Astrophys. J. 196, 221–226 (1975).
[Crossref]

D. Y. Gezari, A. Labeyrie, and R. V. Stachnik, Astrophys. J. 173, L1 (1975).
[Crossref]

1974 (8)

A. Labeyrie, Nouv. Rev. Opt. 5, 141–151 (1974).
[Crossref]

J. C. Dainty, Mon. Not. R. Astronom. Soc. 169, 631 (1974).

I. Ghozeil and J. Simmons, Appl. Opt. 13, 1773–1777 (1974).
[Crossref] [PubMed]

N. George and A. Jain, Appl. Phys. 4, 201 (1974).
[Crossref]

G. Parry, Opt. Acta 21, 763 (1974).
[Crossref]

K. T. Knox and B. J. Thompson, Astrophys. J. 193, L45 (1974).
[Crossref]

P. T. Gough and R. H. T. Bates, Opt. Acta 21, 243 (1974); and P. J. Napier and R. H. T. Bates, Astron. Astrophys. Suppl. 15, 427 (1974).
[Crossref]

D. L. Fried and G. E. Mevers, Appl. Opt. 13, 2620 (1974).
[Crossref] [PubMed]

1973 (2)

K. Korff, J. Opt. Soc. Am. 63, 971 (1973).
[Crossref]

J. W. Harvey and J. B. Breckinridge, Astrophys. J. Lett. 182, L137–L139 (1973).
[Crossref]

1972 (1)

T. Asakura, H. Fujii, and K. Murata, Opt. Acta 19, 273–290 (1972).
[Crossref]

1971 (1)

J. W. Strohbehn, Prog. Opt. 9, 75–122 (1971).

Asakura, T.

T. Asakura, H. Fujii, and K. Murata, Opt. Acta 19, 273–290 (1972).
[Crossref]

Bates, R. H. T.

P. T. Gough and R. H. T. Bates, Opt. Acta 21, 243 (1974); and P. J. Napier and R. H. T. Bates, Astron. Astrophys. Suppl. 15, 427 (1974).
[Crossref]

Breckinridge, J. B.

J. B. Breckinridge, J. Opt. Soc. Am. 66, 143 (1976).
[Crossref]

J. W. Harvey and J. B. Breckinridge, Astrophys. J. Lett. 182, L137–L139 (1973).
[Crossref]

Dainty, J. C.

J. C. Dainty, Mon. Not. R. Astronom. Soc. 169, 631 (1974).

J. C. Dainty and R. Shaw, Image Science (Academic, New York, 1974), p. 160.

Fried, D. L.

Fujii, H.

T. Asakura, H. Fujii, and K. Murata, Opt. Acta 19, 273–290 (1972).
[Crossref]

George, N.

N. George and A. Jain, Appl. Phys. 4, 201 (1974).
[Crossref]

Gezari, D. Y.

D. Y. Gezari, A. Labeyrie, and R. V. Stachnik, Astrophys. J. 173, L1 (1975).
[Crossref]

Ghozeil, I.

Gough, P. T.

P. T. Gough and R. H. T. Bates, Opt. Acta 21, 243 (1974); and P. J. Napier and R. H. T. Bates, Astron. Astrophys. Suppl. 15, 427 (1974).
[Crossref]

Harvey, J. W.

C. R. Lynds, S. P. Worden, and J. W. Harvey, Astrophys. J. 207, 174–180 (1976).
[Crossref]

J. W. Harvey and M. Schwartschild, Astrophys. J. 196, 221–226 (1975).
[Crossref]

J. W. Harvey and J. B. Breckinridge, Astrophys. J. Lett. 182, L137–L139 (1973).
[Crossref]

Jain, A.

N. George and A. Jain, Appl. Phys. 4, 201 (1974).
[Crossref]

Knox, K. T.

K. T. Knox and B. J. Thompson, Astrophys. J. 193, L45 (1974).
[Crossref]

Korff, K.

Labeyrie, A.

D. Y. Gezari, A. Labeyrie, and R. V. Stachnik, Astrophys. J. 173, L1 (1975).
[Crossref]

A. Labeyrie, Nouv. Rev. Opt. 5, 141–151 (1974).
[Crossref]

Lynds, C. R.

C. R. Lynds, S. P. Worden, and J. W. Harvey, Astrophys. J. 207, 174–180 (1976).
[Crossref]

Mevers, G. E.

Murata, K.

T. Asakura, H. Fujii, and K. Murata, Opt. Acta 19, 273–290 (1972).
[Crossref]

Parry, G.

G. Parry, Opt. Acta 21, 763 (1974).
[Crossref]

G. Parry, Laser Speckle, edited by J. C. Dainty (Springer-Verlag, Berlin, 1975).

Schwartschild, M.

J. W. Harvey and M. Schwartschild, Astrophys. J. 196, 221–226 (1975).
[Crossref]

Shaw, R.

J. C. Dainty and R. Shaw, Image Science (Academic, New York, 1974), p. 160.

Simmons, J.

Stachnik, R. V.

D. Y. Gezari, A. Labeyrie, and R. V. Stachnik, Astrophys. J. 173, L1 (1975).
[Crossref]

Strohbehn, J. W.

J. W. Strohbehn, Prog. Opt. 9, 75–122 (1971).

Thompson, B. J.

K. T. Knox and B. J. Thompson, Astrophys. J. 193, L45 (1974).
[Crossref]

Worden, S. P.

C. R. Lynds, S. P. Worden, and J. W. Harvey, Astrophys. J. 207, 174–180 (1976).
[Crossref]

S. P. Worden, Publ. Astron. Soc. Pacific 88, 69–72 (1976).
[Crossref]

Appl. Opt. (2)

Appl. Phys. (1)

N. George and A. Jain, Appl. Phys. 4, 201 (1974).
[Crossref]

Astrophys. J. (4)

C. R. Lynds, S. P. Worden, and J. W. Harvey, Astrophys. J. 207, 174–180 (1976).
[Crossref]

K. T. Knox and B. J. Thompson, Astrophys. J. 193, L45 (1974).
[Crossref]

J. W. Harvey and M. Schwartschild, Astrophys. J. 196, 221–226 (1975).
[Crossref]

D. Y. Gezari, A. Labeyrie, and R. V. Stachnik, Astrophys. J. 173, L1 (1975).
[Crossref]

Astrophys. J. Lett. (1)

J. W. Harvey and J. B. Breckinridge, Astrophys. J. Lett. 182, L137–L139 (1973).
[Crossref]

J. Opt. Soc. Am. (2)

Mon. Not. R. Astronom. Soc. (1)

J. C. Dainty, Mon. Not. R. Astronom. Soc. 169, 631 (1974).

Nouv. Rev. Opt. (1)

A. Labeyrie, Nouv. Rev. Opt. 5, 141–151 (1974).
[Crossref]

Opt. Acta (3)

P. T. Gough and R. H. T. Bates, Opt. Acta 21, 243 (1974); and P. J. Napier and R. H. T. Bates, Astron. Astrophys. Suppl. 15, 427 (1974).
[Crossref]

T. Asakura, H. Fujii, and K. Murata, Opt. Acta 19, 273–290 (1972).
[Crossref]

G. Parry, Opt. Acta 21, 763 (1974).
[Crossref]

Prog. Opt. (1)

J. W. Strohbehn, Prog. Opt. 9, 75–122 (1971).

Publ. Astron. Soc. Pacific (1)

S. P. Worden, Publ. Astron. Soc. Pacific 88, 69–72 (1976).
[Crossref]

Other (2)

J. C. Dainty and R. Shaw, Image Science (Academic, New York, 1974), p. 160.

G. Parry, Laser Speckle, edited by J. C. Dainty (Springer-Verlag, Berlin, 1975).

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Figures (1)

FIG. 1
FIG. 1

Coherent image processor output. Central spike is obscured with mask. Illumination is proportional to the probability density distribution of the separation of speckles recorded with the two-wavelength pass band interference filter. The two short arcs at a large distance from the field center are spurious reflections. The step down in intensity with radius is not explained.

Tables (1)

Tables Icon

TABLE I Counts of the number of speckle elements per square second of arc is shown for six independent speckle images recorded within 5 min of each other at the 4 m telescope at Kitt Peak. Seeing was average, or 2 to 3 arc sec. The average number of counted speckles for each entire pattern is 2507.

Equations (7)

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T ( r , θ ; n , λ , Δ λ ) = i = 1 N a ( r ) δ ( θ - θ i , r - R i , 0 ) + i = 1 K a ( r ) δ ( θ - θ i , r - R i , n ) g i ( r , n , λ , Δ λ ) ,
g i ( r , n , λ , Δ λ ) = g i 1 ( r , n , λ 1 , Δ λ ) + g i 2 ( r , n , λ 2 , Δ λ ) .
Δ ρ = ( Δ λ ) · n / ( 2 r 0 cos ρ ) .
N = D 2 / 4 r 0 2 ,
n = ( N + K ) / N - 1.
tan ρ = ( W ) · λ / D ,
Δ ρ ( Δ λ / 1.22 λ ) ( D / 2 r 0 ) ( n ) .