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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 58, Iss. 5 — May. 1, 1968
  • pp: 614–619

Fourier-Transform Holograms with Partially Coherent Light: Holographic Measurement of Spatial Coherence

MICHAEL LURIE  »View Author Affiliations


JOSA, Vol. 58, Issue 5, pp. 614-619 (1968)
http://dx.doi.org/10.1364/JOSA.58.000614


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Abstract

The results of previous work on the theory of holography with partially coherent light are applied to the measurement of spatial coherence by means of Fourier-transform holograms. It is shown that if a Fourier-transform hologram is made using a coherent reference beam, the amplitude at any point in the reconstructed image will be multiplied by the magnitude of the normalized degree of coherence between the reference beam and the light from the corresponding point on the object. Thus, the reconstructed image can be used to measure coherence. An example of such a measurement is discussed in detail. The usefulness ot the partial-coherence approach in interpreting several known holographic phenomena is mentioned.

Citation
MICHAEL LURIE, "Fourier-Transform Holograms with Partially Coherent Light: Holographic Measurement of Spatial Coherence," J. Opt. Soc. Am. 58, 614-619 (1968)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-58-5-614


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References

  1. D. J. de Bitetto, Appl. Phys. Letters 8, 78 (1966).
  2. G. W. Stroke and R. C. Restrick, Appl. Phys. Letters 7, 229 (1965).
  3. M. Lurie, J. Opt. Soc. Am. 56, 1369 (1966).
  4. E. Leith and J. Upatnieks, J. Opt. Soc. Am. 54, 1295 (1964).
  5. G. W. Stroke, D. Brumm, and A. Funkhouser, J. Opt. Soc. Am. 55, 1327 (1965).
  6. J. T. Winthrop and C. R. Worthington, Phys. Letters 15, 124 (1965).
  7. M. Lurie, dissertation, Newark College of Engineering (June 1967).
  8. See, for example, M. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1964), Sec. 10.3.1.
  9. See, for example, M, Born and E. Wolf, Ref. 8, Sec. 10,4,2,
  10. M. J. Beran and G. B. Parrent, Jr., Theory of Partial Coherence (Prentice-Hall, Engelwood Cliffs, N. J., 1964), p. 28.
  11. R. L. Powell and K. A. Stetson, J. Opt. Soc. Am. 55, 1593 (1965).
  12. Sun Lu, H. W. Hermstreet, Jr., and H. J. Caulfield, Phys. Letters 25A, 294 (1967).
  13. M. Lurie, J. Opt. Soc. Am. 57, 573A (1967).

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