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.

PDF Article

References

  • View by:
  • |
  • |

  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).

de Bitetto, D. J.

D. J. de Bitetto, Appl. Phys. Letters 8, 78 (1966).

Beran, M. J.

M. J. Beran and G. B. Parrent, Jr., Theory of Partial Coherence (Prentice-Hall, Engelwood Cliffs, N. J., 1964), p. 28.

Born, M.

See, for example, M. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1964), Sec. 10.3.1.

See, for example, M, Born and E. Wolf, Ref. 8, Sec. 10,4,2,

Brumm, D.

G. W. Stroke, D. Brumm, and A. Funkhouser, J. Opt. Soc. Am. 55, 1327 (1965).

Caulfield, H. J.

Sun Lu, H. W. Hermstreet, Jr., and H. J. Caulfield, Phys. Letters 25A, 294 (1967).

Funkhouser, A.

G. W. Stroke, D. Brumm, and A. Funkhouser, J. Opt. Soc. Am. 55, 1327 (1965).

Hermstreet, Jr., H. W.

Sun Lu, H. W. Hermstreet, Jr., and H. J. Caulfield, Phys. Letters 25A, 294 (1967).

Leith, E.

E. Leith and J. Upatnieks, J. Opt. Soc. Am. 54, 1295 (1964).

Lu, Sun

Sun Lu, H. W. Hermstreet, Jr., and H. J. Caulfield, Phys. Letters 25A, 294 (1967).

Lurie, M.

M. Lurie, J. Opt. Soc. Am. 56, 1369 (1966).

M. Lurie, dissertation, Newark College of Engineering (June 1967).

M. Lurie, J. Opt. Soc. Am. 57, 573A (1967).

Parrent, Jr., G. B.

M. J. Beran and G. B. Parrent, Jr., Theory of Partial Coherence (Prentice-Hall, Engelwood Cliffs, N. J., 1964), p. 28.

Powell, R. L.

R. L. Powell and K. A. Stetson, J. Opt. Soc. Am. 55, 1593 (1965).

Restrick, R. C.

G. W. Stroke and R. C. Restrick, Appl. Phys. Letters 7, 229 (1965).

Stetson, K. A.

R. L. Powell and K. A. Stetson, J. Opt. Soc. Am. 55, 1593 (1965).

Stroke, G. W.

G. W. Stroke, D. Brumm, and A. Funkhouser, J. Opt. Soc. Am. 55, 1327 (1965).

G. W. Stroke and R. C. Restrick, Appl. Phys. Letters 7, 229 (1965).

Upatnieks, J.

E. Leith and J. Upatnieks, J. Opt. Soc. Am. 54, 1295 (1964).

Winthrop, J. T.

J. T. Winthrop and C. R. Worthington, Phys. Letters 15, 124 (1965).

Wolf, E.

See, for example, M, Born and E. Wolf, Ref. 8, Sec. 10,4,2,

See, for example, M. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1964), Sec. 10.3.1.

Worthington, C. R.

J. T. Winthrop and C. R. Worthington, Phys. Letters 15, 124 (1965).

Other

D. J. de Bitetto, Appl. Phys. Letters 8, 78 (1966).

G. W. Stroke and R. C. Restrick, Appl. Phys. Letters 7, 229 (1965).

M. Lurie, J. Opt. Soc. Am. 56, 1369 (1966).

E. Leith and J. Upatnieks, J. Opt. Soc. Am. 54, 1295 (1964).

G. W. Stroke, D. Brumm, and A. Funkhouser, J. Opt. Soc. Am. 55, 1327 (1965).

J. T. Winthrop and C. R. Worthington, Phys. Letters 15, 124 (1965).

M. Lurie, dissertation, Newark College of Engineering (June 1967).

See, for example, M. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1964), Sec. 10.3.1.

See, for example, M, Born and E. Wolf, Ref. 8, Sec. 10,4,2,

M. J. Beran and G. B. Parrent, Jr., Theory of Partial Coherence (Prentice-Hall, Engelwood Cliffs, N. J., 1964), p. 28.

R. L. Powell and K. A. Stetson, J. Opt. Soc. Am. 55, 1593 (1965).

Sun Lu, H. W. Hermstreet, Jr., and H. J. Caulfield, Phys. Letters 25A, 294 (1967).

M. Lurie, J. Opt. Soc. Am. 57, 573A (1967).

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.