Abstract

We present a novel method not only for determining the angular separation of unknown two-point spectral sources but also for obtaining each of their spectral profiles from measurements of both their complex degree of spectral coherence and their spectra across an observation area in the space-frequency domain. The theoretical predictions are fully proved by an experimental demonstration with a pair of uncorrelated two-point spectral sources.

© 1998 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. L. Mandel and E. Wolf, J. Opt. Soc. Am. 66, 529 (1976).
    [CrossRef]
  2. E. Wolf, Phys. Rev. Lett. 56, 1370 (1986).
    [CrossRef] [PubMed]
  3. E. Wolf and D. F. V. James, Rep. Prog. Phys. 59, 771 (1996).
    [CrossRef]
  4. G. S. Agrawal and D. F. V. James, J. Mod. Opt. 40, 1431 (1993).
    [CrossRef]
  5. D. N. Rao and V. N. Kumar, J. Mod. Opt. 41, 1757 (1994).
    [CrossRef]
  6. D. S. Mehta, H. C. Kandpal, K. Saxena, J. S. Vaishya, and K. C. Joshi, Opt. Commun. 119, 352 (1995).
    [CrossRef]
  7. D. F. V. James and E. Wolf, Radio Sci. 26, 1239 (1991).
    [CrossRef]
  8. H. C. Kandpal, K. Saxena, D. S. Mehta, J. S. Vaishya, and K. C. Joshi, J. Mod. Opt. 42, 447 (1995).
    [CrossRef]
  9. H. C. Kandpal, J. S. Vaishya, K. Saxena, D. S. Mehta, and K. C. Joshi, J. Mod. Opt. 42, 455 (1995).
    [CrossRef]
  10. D. F. V. James, H. C. Kandpal, and E. Wolf, Astrophys. J. 445, 406 (1995).
    [CrossRef]
  11. H. Arimoto and Y. Ohtsuka, Opt. Lett. 22, 958 (1997).
    [CrossRef] [PubMed]
  12. A. A. Michelson, Studies in Optics (U. Chicago Press, Chicago, Ill., 1962).
  13. Y. Ohtsuka, Opt. Rev. 5, 27 (1998).
    [CrossRef]

1998

Y. Ohtsuka, Opt. Rev. 5, 27 (1998).
[CrossRef]

1997

1996

E. Wolf and D. F. V. James, Rep. Prog. Phys. 59, 771 (1996).
[CrossRef]

1995

D. S. Mehta, H. C. Kandpal, K. Saxena, J. S. Vaishya, and K. C. Joshi, Opt. Commun. 119, 352 (1995).
[CrossRef]

H. C. Kandpal, K. Saxena, D. S. Mehta, J. S. Vaishya, and K. C. Joshi, J. Mod. Opt. 42, 447 (1995).
[CrossRef]

H. C. Kandpal, J. S. Vaishya, K. Saxena, D. S. Mehta, and K. C. Joshi, J. Mod. Opt. 42, 455 (1995).
[CrossRef]

D. F. V. James, H. C. Kandpal, and E. Wolf, Astrophys. J. 445, 406 (1995).
[CrossRef]

1994

D. N. Rao and V. N. Kumar, J. Mod. Opt. 41, 1757 (1994).
[CrossRef]

1993

G. S. Agrawal and D. F. V. James, J. Mod. Opt. 40, 1431 (1993).
[CrossRef]

1991

D. F. V. James and E. Wolf, Radio Sci. 26, 1239 (1991).
[CrossRef]

1986

E. Wolf, Phys. Rev. Lett. 56, 1370 (1986).
[CrossRef] [PubMed]

1976

Agrawal, G. S.

G. S. Agrawal and D. F. V. James, J. Mod. Opt. 40, 1431 (1993).
[CrossRef]

Arimoto, H.

James, D. F. V.

E. Wolf and D. F. V. James, Rep. Prog. Phys. 59, 771 (1996).
[CrossRef]

D. F. V. James, H. C. Kandpal, and E. Wolf, Astrophys. J. 445, 406 (1995).
[CrossRef]

G. S. Agrawal and D. F. V. James, J. Mod. Opt. 40, 1431 (1993).
[CrossRef]

D. F. V. James and E. Wolf, Radio Sci. 26, 1239 (1991).
[CrossRef]

Joshi, K. C.

D. S. Mehta, H. C. Kandpal, K. Saxena, J. S. Vaishya, and K. C. Joshi, Opt. Commun. 119, 352 (1995).
[CrossRef]

H. C. Kandpal, K. Saxena, D. S. Mehta, J. S. Vaishya, and K. C. Joshi, J. Mod. Opt. 42, 447 (1995).
[CrossRef]

H. C. Kandpal, J. S. Vaishya, K. Saxena, D. S. Mehta, and K. C. Joshi, J. Mod. Opt. 42, 455 (1995).
[CrossRef]

Kandpal, H. C.

H. C. Kandpal, J. S. Vaishya, K. Saxena, D. S. Mehta, and K. C. Joshi, J. Mod. Opt. 42, 455 (1995).
[CrossRef]

D. F. V. James, H. C. Kandpal, and E. Wolf, Astrophys. J. 445, 406 (1995).
[CrossRef]

D. S. Mehta, H. C. Kandpal, K. Saxena, J. S. Vaishya, and K. C. Joshi, Opt. Commun. 119, 352 (1995).
[CrossRef]

H. C. Kandpal, K. Saxena, D. S. Mehta, J. S. Vaishya, and K. C. Joshi, J. Mod. Opt. 42, 447 (1995).
[CrossRef]

Kumar, V. N.

D. N. Rao and V. N. Kumar, J. Mod. Opt. 41, 1757 (1994).
[CrossRef]

Mandel, L.

Mehta, D. S.

D. S. Mehta, H. C. Kandpal, K. Saxena, J. S. Vaishya, and K. C. Joshi, Opt. Commun. 119, 352 (1995).
[CrossRef]

H. C. Kandpal, J. S. Vaishya, K. Saxena, D. S. Mehta, and K. C. Joshi, J. Mod. Opt. 42, 455 (1995).
[CrossRef]

H. C. Kandpal, K. Saxena, D. S. Mehta, J. S. Vaishya, and K. C. Joshi, J. Mod. Opt. 42, 447 (1995).
[CrossRef]

Michelson, A. A.

A. A. Michelson, Studies in Optics (U. Chicago Press, Chicago, Ill., 1962).

Ohtsuka, Y.

Rao, D. N.

D. N. Rao and V. N. Kumar, J. Mod. Opt. 41, 1757 (1994).
[CrossRef]

Saxena, K.

H. C. Kandpal, K. Saxena, D. S. Mehta, J. S. Vaishya, and K. C. Joshi, J. Mod. Opt. 42, 447 (1995).
[CrossRef]

D. S. Mehta, H. C. Kandpal, K. Saxena, J. S. Vaishya, and K. C. Joshi, Opt. Commun. 119, 352 (1995).
[CrossRef]

H. C. Kandpal, J. S. Vaishya, K. Saxena, D. S. Mehta, and K. C. Joshi, J. Mod. Opt. 42, 455 (1995).
[CrossRef]

Vaishya, J. S.

H. C. Kandpal, K. Saxena, D. S. Mehta, J. S. Vaishya, and K. C. Joshi, J. Mod. Opt. 42, 447 (1995).
[CrossRef]

H. C. Kandpal, J. S. Vaishya, K. Saxena, D. S. Mehta, and K. C. Joshi, J. Mod. Opt. 42, 455 (1995).
[CrossRef]

D. S. Mehta, H. C. Kandpal, K. Saxena, J. S. Vaishya, and K. C. Joshi, Opt. Commun. 119, 352 (1995).
[CrossRef]

Wolf, E.

E. Wolf and D. F. V. James, Rep. Prog. Phys. 59, 771 (1996).
[CrossRef]

D. F. V. James, H. C. Kandpal, and E. Wolf, Astrophys. J. 445, 406 (1995).
[CrossRef]

D. F. V. James and E. Wolf, Radio Sci. 26, 1239 (1991).
[CrossRef]

E. Wolf, Phys. Rev. Lett. 56, 1370 (1986).
[CrossRef] [PubMed]

L. Mandel and E. Wolf, J. Opt. Soc. Am. 66, 529 (1976).
[CrossRef]

Astrophys. J.

D. F. V. James, H. C. Kandpal, and E. Wolf, Astrophys. J. 445, 406 (1995).
[CrossRef]

J. Mod. Opt.

G. S. Agrawal and D. F. V. James, J. Mod. Opt. 40, 1431 (1993).
[CrossRef]

D. N. Rao and V. N. Kumar, J. Mod. Opt. 41, 1757 (1994).
[CrossRef]

H. C. Kandpal, K. Saxena, D. S. Mehta, J. S. Vaishya, and K. C. Joshi, J. Mod. Opt. 42, 447 (1995).
[CrossRef]

H. C. Kandpal, J. S. Vaishya, K. Saxena, D. S. Mehta, and K. C. Joshi, J. Mod. Opt. 42, 455 (1995).
[CrossRef]

J. Opt. Soc. Am.

Opt. Commun.

D. S. Mehta, H. C. Kandpal, K. Saxena, J. S. Vaishya, and K. C. Joshi, Opt. Commun. 119, 352 (1995).
[CrossRef]

Opt. Lett.

Opt. Rev.

Y. Ohtsuka, Opt. Rev. 5, 27 (1998).
[CrossRef]

Phys. Rev. Lett.

E. Wolf, Phys. Rev. Lett. 56, 1370 (1986).
[CrossRef] [PubMed]

Radio Sci.

D. F. V. James and E. Wolf, Radio Sci. 26, 1239 (1991).
[CrossRef]

Rep. Prog. Phys.

E. Wolf and D. F. V. James, Rep. Prog. Phys. 59, 771 (1996).
[CrossRef]

Other

A. A. Michelson, Studies in Optics (U. Chicago Press, Chicago, Ill., 1962).

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 (3)

Fig. 1
Fig. 1

Optical system considered.

Fig. 2
Fig. 2

Measured complex degree of spectral coherence. (a)  Absolute value of μ as a function of Δξ. (b)  Argument of μ as a function of Δξ.

Fig. 3
Fig. 3

Obtained spectral profiles compared with the original source spectral profiles (dashed and dotted curves, respectively).

Equations (4)

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

μΔξ;ω=Wξ,-ξ;ωWξ, ξ;ωW-ξ,-ξ;ω1/2=w/2πcz12Sx1;ωSoωexpiωcz1x1Δξ+ω/2πcz22Sx2;ωSoωexpiωcz2x2Δξ,
-μΔξ; ωpexpiωpczmxΔξdΔξ=R1ωpδx-x1z1+R2ωpδx-x2z2, m=1, 2,
R1ωp=ωp/2πcz12Sx1;ωpSoωp, R2ωp=ωp/2πcz22Sx2;ωpSoωp.
Sx1;ωp=βωp2SoωpR1ωp, Sx2;ωp=βωp2SoωpR2ωp,

Metrics