OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 70, Iss. 1 — Jan. 1, 1980
  • pp: 97–103

Differential detection of coherence functions and its application

Takuso Sato, Shusou Wadaka, Tetsuo Watanabe, and Osamu Ikeda  »View Author Affiliations

JOSA, Vol. 70, Issue 1, pp. 97-103 (1980)

View Full Text Article

Acrobat PDF (635 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Coherence functions on infinitesimal intervals are measured sequentially by detecting intensities after interfering with neighboring wave fields. They are combined arithmetically so that the coherence function over any desired interval is obtained. This method has special features: (i) the effect of turbulence in front of the detector can be eliminated; and, (ii) the coherence function over any distance can be obtained without physically expanding the span of the arm of the interferometer. The principal algorithm of coherence function derivation, discussions about the effectiveness and limitation of the method, and an application of the method are described.

© 1980 Optical Society of America

Takuso Sato, Shusou Wadaka, Tetsuo Watanabe, and Osamu Ikeda, "Differential detection of coherence functions and its application," J. Opt. Soc. Am. 70, 97-103 (1980)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford, England, 1970), Chap. 10.
  2. M. V. R. K. Murty, "Interference between Wavefronts Rotated or Reversed with Respect to Each Other and its Relation to Spatial Coherence," J. Opt. Soc. Am. 54, 1187–1190 (1964).
  3. L. Mertz, Transformations in Optics (Wiley, New York, 1965), Chap.
  4. H. W. Wessely and J. O. Bolstad, "Interferometric Technique for Measuring the Spatial-Correlation Function of Optical Radiation Fields," J. Opt. Soc. Am. 60, 678–682 (1970).
  5. M. Bertolotti, M. Carnevale, L. Muzii, and D. Sette, "Reversing-Front Interferometer for Phase-Correlation Measurements in the Turbulent Atmosphere," Appl. Opt. 9, 510–512 (1970).
  6. A. Labeyrie, "Attainment of Diffraction Limited Resolution in Large Telescopes by Fourier Analysing Speckle Patterns in Star Images," Astron. Astrophys. 6, 85–87 (1970).
  7. J. W. Goodman et al., "Wavefront-Reconstruction Imaging Through Random Media," Appl. Phys. Lett. 8, 311–313 (1966).
  8. V. I, Tatarski, "The effects of the turbulent atmosphere on wave propagation," (U. S. Dept. of Commerce, TT-68–50464, Springfield, Va., 1971).
  9. A. Ishimaru, "Phase fluctuation in a turbulent medium," Appl. Opt. 16, 3190–3192 (1977).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited