Abstract

An efficient device using a transparent grooved screen and three detector channels is described for measuring the complex coherence factor between two optical beams. The device statically provides both in-phase and quadrature fringe components, the same signals as are customarily available in radio interferometry. The deleterious effects of a nonaplanatism in stellar interferometry are described along with a novel configuration for interferometrically combining two telescopes to provide simultaneously fringes anywhere in the field of view with the goal of optical aperture synthesis. Complex fringe detection also has certain applications in spectral interferometry, and a suitable interferometer with achromatized throughput is described. That interferometer may also be used for distance or thickness measurement.

© 1983 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. V. Oppenheim, J. S. Lim, Proc. IEEE 69, 529 (1981).
    [CrossRef]
  2. J. W. Goodman, Prog. Opt. 8, 1 (1970).
    [CrossRef]
  3. L. Mertz, Appl. Opt. 22, 1535 (1983).
    [CrossRef] [PubMed]
  4. J. F. Walkup, J. W. Goodman, J. Opt. Soc. Am. 63, 399 (1973).
    [CrossRef]
  5. J. S. Wilczynski, J. Opt. Soc. Am. 57, 1415 (1967).
  6. A. B. Meinel, Appl. Opt. 9, 2501 (1970).
    [CrossRef] [PubMed]
  7. A. Labeyrie, Ann. Rev. Astron. Astrophys. 16, 77 (1978).
    [CrossRef]
  8. J. Davis, W. J. Tango, “High Angular Resolution Stellar Interferometry,” I.A.U. Colloquium 50, papers 8, 10, 13, 14, and 20.
  9. H. W. Schnopper, J. P. Delvaille, A. Epstein, H. Helmken, S. S. Murray, G. Clark, G. Jernigan, R. Doxsey, Astrophys. J. 210, L75 (1976).
    [CrossRef]
  10. L. W. Fredrick, C. D. Smith, Proc. Soc. Photo-Opt. Instrum. Eng. 331, 448 (1982).
  11. W. C. Wickes, R. H. Dicke, Astron. J. 79, 1433 (1974).
    [CrossRef]
  12. A. C. S. Readhead, P. N. Wilkinson, Astrophys. J. 223, 25 (1978).
    [CrossRef]
  13. T. J. Pearson, S. C. Unwin, M. H. Cohen, R. P. Linfield, A. C. S. Readhead, G. A. Seilstad, R. S. Simon, R. C. Walker, Nature 290, 365 (1981).
    [CrossRef]
  14. A. M. Cruise, Mon. Not. R. Astron. Soc., 170, 305 (1975).
  15. W. M. Sinton, Astron. J. 59, 369 (1954).
    [CrossRef]
  16. C. G. Wynne, Opt. Commun. 28, 21 (1979).
    [CrossRef]
  17. D. W. Cutter, A. W. Lohmann, Opt. Commun. 12, 220 (1974).
    [CrossRef]

1983

1982

L. W. Fredrick, C. D. Smith, Proc. Soc. Photo-Opt. Instrum. Eng. 331, 448 (1982).

1981

T. J. Pearson, S. C. Unwin, M. H. Cohen, R. P. Linfield, A. C. S. Readhead, G. A. Seilstad, R. S. Simon, R. C. Walker, Nature 290, 365 (1981).
[CrossRef]

A. V. Oppenheim, J. S. Lim, Proc. IEEE 69, 529 (1981).
[CrossRef]

1979

C. G. Wynne, Opt. Commun. 28, 21 (1979).
[CrossRef]

1978

A. Labeyrie, Ann. Rev. Astron. Astrophys. 16, 77 (1978).
[CrossRef]

A. C. S. Readhead, P. N. Wilkinson, Astrophys. J. 223, 25 (1978).
[CrossRef]

1976

H. W. Schnopper, J. P. Delvaille, A. Epstein, H. Helmken, S. S. Murray, G. Clark, G. Jernigan, R. Doxsey, Astrophys. J. 210, L75 (1976).
[CrossRef]

1975

A. M. Cruise, Mon. Not. R. Astron. Soc., 170, 305 (1975).

1974

D. W. Cutter, A. W. Lohmann, Opt. Commun. 12, 220 (1974).
[CrossRef]

W. C. Wickes, R. H. Dicke, Astron. J. 79, 1433 (1974).
[CrossRef]

1973

1970

1967

J. S. Wilczynski, J. Opt. Soc. Am. 57, 1415 (1967).

1954

W. M. Sinton, Astron. J. 59, 369 (1954).
[CrossRef]

Clark, G.

H. W. Schnopper, J. P. Delvaille, A. Epstein, H. Helmken, S. S. Murray, G. Clark, G. Jernigan, R. Doxsey, Astrophys. J. 210, L75 (1976).
[CrossRef]

Cohen, M. H.

T. J. Pearson, S. C. Unwin, M. H. Cohen, R. P. Linfield, A. C. S. Readhead, G. A. Seilstad, R. S. Simon, R. C. Walker, Nature 290, 365 (1981).
[CrossRef]

Cruise, A. M.

A. M. Cruise, Mon. Not. R. Astron. Soc., 170, 305 (1975).

Cutter, D. W.

D. W. Cutter, A. W. Lohmann, Opt. Commun. 12, 220 (1974).
[CrossRef]

Davis, J.

J. Davis, W. J. Tango, “High Angular Resolution Stellar Interferometry,” I.A.U. Colloquium 50, papers 8, 10, 13, 14, and 20.

Delvaille, J. P.

H. W. Schnopper, J. P. Delvaille, A. Epstein, H. Helmken, S. S. Murray, G. Clark, G. Jernigan, R. Doxsey, Astrophys. J. 210, L75 (1976).
[CrossRef]

Dicke, R. H.

W. C. Wickes, R. H. Dicke, Astron. J. 79, 1433 (1974).
[CrossRef]

Doxsey, R.

H. W. Schnopper, J. P. Delvaille, A. Epstein, H. Helmken, S. S. Murray, G. Clark, G. Jernigan, R. Doxsey, Astrophys. J. 210, L75 (1976).
[CrossRef]

Epstein, A.

H. W. Schnopper, J. P. Delvaille, A. Epstein, H. Helmken, S. S. Murray, G. Clark, G. Jernigan, R. Doxsey, Astrophys. J. 210, L75 (1976).
[CrossRef]

Fredrick, L. W.

L. W. Fredrick, C. D. Smith, Proc. Soc. Photo-Opt. Instrum. Eng. 331, 448 (1982).

Goodman, J. W.

Helmken, H.

H. W. Schnopper, J. P. Delvaille, A. Epstein, H. Helmken, S. S. Murray, G. Clark, G. Jernigan, R. Doxsey, Astrophys. J. 210, L75 (1976).
[CrossRef]

Jernigan, G.

H. W. Schnopper, J. P. Delvaille, A. Epstein, H. Helmken, S. S. Murray, G. Clark, G. Jernigan, R. Doxsey, Astrophys. J. 210, L75 (1976).
[CrossRef]

Labeyrie, A.

A. Labeyrie, Ann. Rev. Astron. Astrophys. 16, 77 (1978).
[CrossRef]

Lim, J. S.

A. V. Oppenheim, J. S. Lim, Proc. IEEE 69, 529 (1981).
[CrossRef]

Linfield, R. P.

T. J. Pearson, S. C. Unwin, M. H. Cohen, R. P. Linfield, A. C. S. Readhead, G. A. Seilstad, R. S. Simon, R. C. Walker, Nature 290, 365 (1981).
[CrossRef]

Lohmann, A. W.

D. W. Cutter, A. W. Lohmann, Opt. Commun. 12, 220 (1974).
[CrossRef]

Meinel, A. B.

Mertz, L.

Murray, S. S.

H. W. Schnopper, J. P. Delvaille, A. Epstein, H. Helmken, S. S. Murray, G. Clark, G. Jernigan, R. Doxsey, Astrophys. J. 210, L75 (1976).
[CrossRef]

Oppenheim, A. V.

A. V. Oppenheim, J. S. Lim, Proc. IEEE 69, 529 (1981).
[CrossRef]

Pearson, T. J.

T. J. Pearson, S. C. Unwin, M. H. Cohen, R. P. Linfield, A. C. S. Readhead, G. A. Seilstad, R. S. Simon, R. C. Walker, Nature 290, 365 (1981).
[CrossRef]

Readhead, A. C. S.

T. J. Pearson, S. C. Unwin, M. H. Cohen, R. P. Linfield, A. C. S. Readhead, G. A. Seilstad, R. S. Simon, R. C. Walker, Nature 290, 365 (1981).
[CrossRef]

A. C. S. Readhead, P. N. Wilkinson, Astrophys. J. 223, 25 (1978).
[CrossRef]

Schnopper, H. W.

H. W. Schnopper, J. P. Delvaille, A. Epstein, H. Helmken, S. S. Murray, G. Clark, G. Jernigan, R. Doxsey, Astrophys. J. 210, L75 (1976).
[CrossRef]

Seilstad, G. A.

T. J. Pearson, S. C. Unwin, M. H. Cohen, R. P. Linfield, A. C. S. Readhead, G. A. Seilstad, R. S. Simon, R. C. Walker, Nature 290, 365 (1981).
[CrossRef]

Simon, R. S.

T. J. Pearson, S. C. Unwin, M. H. Cohen, R. P. Linfield, A. C. S. Readhead, G. A. Seilstad, R. S. Simon, R. C. Walker, Nature 290, 365 (1981).
[CrossRef]

Sinton, W. M.

W. M. Sinton, Astron. J. 59, 369 (1954).
[CrossRef]

Smith, C. D.

L. W. Fredrick, C. D. Smith, Proc. Soc. Photo-Opt. Instrum. Eng. 331, 448 (1982).

Tango, W. J.

J. Davis, W. J. Tango, “High Angular Resolution Stellar Interferometry,” I.A.U. Colloquium 50, papers 8, 10, 13, 14, and 20.

Unwin, S. C.

T. J. Pearson, S. C. Unwin, M. H. Cohen, R. P. Linfield, A. C. S. Readhead, G. A. Seilstad, R. S. Simon, R. C. Walker, Nature 290, 365 (1981).
[CrossRef]

Walker, R. C.

T. J. Pearson, S. C. Unwin, M. H. Cohen, R. P. Linfield, A. C. S. Readhead, G. A. Seilstad, R. S. Simon, R. C. Walker, Nature 290, 365 (1981).
[CrossRef]

Walkup, J. F.

Wickes, W. C.

W. C. Wickes, R. H. Dicke, Astron. J. 79, 1433 (1974).
[CrossRef]

Wilczynski, J. S.

J. S. Wilczynski, J. Opt. Soc. Am. 57, 1415 (1967).

Wilkinson, P. N.

A. C. S. Readhead, P. N. Wilkinson, Astrophys. J. 223, 25 (1978).
[CrossRef]

Wynne, C. G.

C. G. Wynne, Opt. Commun. 28, 21 (1979).
[CrossRef]

Ann. Rev. Astron. Astrophys.

A. Labeyrie, Ann. Rev. Astron. Astrophys. 16, 77 (1978).
[CrossRef]

Appl. Opt.

Astron. J.

W. C. Wickes, R. H. Dicke, Astron. J. 79, 1433 (1974).
[CrossRef]

W. M. Sinton, Astron. J. 59, 369 (1954).
[CrossRef]

Astrophys. J.

H. W. Schnopper, J. P. Delvaille, A. Epstein, H. Helmken, S. S. Murray, G. Clark, G. Jernigan, R. Doxsey, Astrophys. J. 210, L75 (1976).
[CrossRef]

A. C. S. Readhead, P. N. Wilkinson, Astrophys. J. 223, 25 (1978).
[CrossRef]

J. Opt. Soc. Am.

J. S. Wilczynski, J. Opt. Soc. Am. 57, 1415 (1967).

J. F. Walkup, J. W. Goodman, J. Opt. Soc. Am. 63, 399 (1973).
[CrossRef]

Mon. Not. R. Astron. Soc.

A. M. Cruise, Mon. Not. R. Astron. Soc., 170, 305 (1975).

Nature

T. J. Pearson, S. C. Unwin, M. H. Cohen, R. P. Linfield, A. C. S. Readhead, G. A. Seilstad, R. S. Simon, R. C. Walker, Nature 290, 365 (1981).
[CrossRef]

Opt. Commun.

C. G. Wynne, Opt. Commun. 28, 21 (1979).
[CrossRef]

D. W. Cutter, A. W. Lohmann, Opt. Commun. 12, 220 (1974).
[CrossRef]

Proc. IEEE

A. V. Oppenheim, J. S. Lim, Proc. IEEE 69, 529 (1981).
[CrossRef]

Proc. Soc. Photo-Opt. Instrum. Eng.

L. W. Fredrick, C. D. Smith, Proc. Soc. Photo-Opt. Instrum. Eng. 331, 448 (1982).

Prog. Opt.

J. W. Goodman, Prog. Opt. 8, 1 (1970).
[CrossRef]

Other

J. Davis, W. J. Tango, “High Angular Resolution Stellar Interferometry,” I.A.U. Colloquium 50, papers 8, 10, 13, 14, and 20.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (6)

Fig. 1
Fig. 1

Complex fringe detector

Fig. 2
Fig. 2

Direct current coupled quadrature vs in-phase signals derived from complex fringe detector. Central dot is with no incident light, circular trace is with scanned Young’s fringes.

Fig. 3
Fig. 3

Comparison of Fizeau (A) and Michelson (B) stellar interferometers showing a typical field of four stars with or without fringes.

Fig. 4
Fig. 4

Interferometric combining of two telescopes for the complex fringe detector.

Fig. 5
Fig. 5

Spectroscopic interferometer for the complex fringe detector.

Fig. 6
Fig. 6

Better beam combining prism for the complex fringe detector.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

Z = A exp ( - 2 π i / 3 ) + B exp ( 0 i ) + C exp ( + 2 π i / 3 ) ,
I = ( - 1 / 2 ) A + B + ( - 1 / 2 ) C ,
Q = ( - 3 / 2 ) A + ( + 3 / 2 ) C .
2 H ( θ ) = Z ( θ ) + Z * ( θ + π ) ,

Metrics