Abstract

<p>The higher-order coherence functions of optical fields involving phase fluctuations have not yet been studied extensively. We discuss here an experiment which can in principle yield the fourth-order coherence function. This experiment is a study of the correlation function of the irradiance fluctuations obtained in some interference experiments. Two kinds of delay are then used: optical delays in the interferometer and electrical delays with suitable variations in the correlator.</p><p>The results of the experiment are calculated theoretically with a particular statistical model of laser light. The possibility of using a spectrum analyzer instead of a correlator is discussed.</p>

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  1. B. Picinbono and E. Boileau, J. Opt. Soc. Am. 58, 784 (1968).
  2. R. Hanbury Brown, J. Phys. Radium 20, 898 (1959).
  3. C. Freed and H. A. Haus, IEEE Quantum Electronics QE-2, 190 (1966).
  4. J. A. Armstrong and A. W. Smith, Phys. Rev. 140, 1A, 155 (1965).
  5. J. A. Armstrong and A. W. Smith, in Progress in Optics 6, E. Wolf, Ed. (North-Holland Publishing Co., Amsterdam, 1967).
  6. A. E. Siegman, B. Daino, and K. R. Manes, IEEE Quantum Electronics QE-3, 180 (1967).
  7. J. A. Armstrong, J. Opt. Soc. Am. 56, 1024 (1966). 1238
  8. D. Dialetis and E. Wolf, Nuovo Cimento 47, 113 (1967).
  9. H. Risken, Z. Physik 186, 85 (1965); H. Risken, C. Schmid, and W. Weidlich, 194, 337 (1966).
  10. W. Martienssen and E. Spiller, Phys. Rev. Letters 16, 531 (1966); Phys. Rev. 145, 286 (1966); F. T. Arecchi, A. Berné, and P. Bulamacchi, Phys. Rev. Letters 16, 32 (1966); F. Arecchi, E. Gatti, and A. Sona, Phys. Letters 20, 27 (1966).
  11. M. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1964).
  12. A. Blaquière, Ann. Radioélec. 8, 36, 153 (1963); Analyse des systemnes non linèaires (Presses Universitaires de France, Paris, 1966), p. 375.
  13. B. Picinbono and E. Boileau, Compt. Rend. 261, 5028 (1966).
  14. C. Freed and H. A. Haus, Phys. Rev. 141, 287 (1966).
  15. K. Shimoda and A. Javan, J. Appl. Phys. 36, 718 (1965).
  16. M. S. Lipsett and P. H. Lee, Appl. Opt. 5, 223 (1966).
  17. W. E. Ahearn and J. W. Crowe, IEEE Quantum Electronics QE-2, 597 (1966).
  18. A. Blanc-Lapierre and R. Fortet, Thérie des fonctions aléatoires (Masson, Paris, 1953).

Ahearn, W. E.

W. E. Ahearn and J. W. Crowe, IEEE Quantum Electronics QE-2, 597 (1966).

Armstrong, J. A.

J. A. Armstrong and A. W. Smith, Phys. Rev. 140, 1A, 155 (1965).

J. A. Armstrong and A. W. Smith, in Progress in Optics 6, E. Wolf, Ed. (North-Holland Publishing Co., Amsterdam, 1967).

J. A. Armstrong, J. Opt. Soc. Am. 56, 1024 (1966). 1238

Blanc-Lapierre, A.

A. Blanc-Lapierre and R. Fortet, Thérie des fonctions aléatoires (Masson, Paris, 1953).

Blaquière, A.

A. Blaquière, Ann. Radioélec. 8, 36, 153 (1963); Analyse des systemnes non linèaires (Presses Universitaires de France, Paris, 1966), p. 375.

Boileau, E.

B. Picinbono and E. Boileau, Compt. Rend. 261, 5028 (1966).

B. Picinbono and E. Boileau, J. Opt. Soc. Am. 58, 784 (1968).

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1964).

Brown, R. Hanbury

R. Hanbury Brown, J. Phys. Radium 20, 898 (1959).

Crowe, J. W.

W. E. Ahearn and J. W. Crowe, IEEE Quantum Electronics QE-2, 597 (1966).

Daino, B.

A. E. Siegman, B. Daino, and K. R. Manes, IEEE Quantum Electronics QE-3, 180 (1967).

Dialetis, D.

D. Dialetis and E. Wolf, Nuovo Cimento 47, 113 (1967).

Fortet, R.

A. Blanc-Lapierre and R. Fortet, Thérie des fonctions aléatoires (Masson, Paris, 1953).

Freed, C.

C. Freed and H. A. Haus, Phys. Rev. 141, 287 (1966).

C. Freed and H. A. Haus, IEEE Quantum Electronics QE-2, 190 (1966).

Haus, H. A.

C. Freed and H. A. Haus, IEEE Quantum Electronics QE-2, 190 (1966).

C. Freed and H. A. Haus, Phys. Rev. 141, 287 (1966).

Javan, A.

K. Shimoda and A. Javan, J. Appl. Phys. 36, 718 (1965).

Lee, P. H.

M. S. Lipsett and P. H. Lee, Appl. Opt. 5, 223 (1966).

Lipsett, M. S.

M. S. Lipsett and P. H. Lee, Appl. Opt. 5, 223 (1966).

Manes, K. R.

A. E. Siegman, B. Daino, and K. R. Manes, IEEE Quantum Electronics QE-3, 180 (1967).

Martienssen, W.

W. Martienssen and E. Spiller, Phys. Rev. Letters 16, 531 (1966); Phys. Rev. 145, 286 (1966); F. T. Arecchi, A. Berné, and P. Bulamacchi, Phys. Rev. Letters 16, 32 (1966); F. Arecchi, E. Gatti, and A. Sona, Phys. Letters 20, 27 (1966).

Picinbono, B.

B. Picinbono and E. Boileau, J. Opt. Soc. Am. 58, 784 (1968).

B. Picinbono and E. Boileau, Compt. Rend. 261, 5028 (1966).

Risken, H.

H. Risken, Z. Physik 186, 85 (1965); H. Risken, C. Schmid, and W. Weidlich, 194, 337 (1966).

Shimoda, K.

K. Shimoda and A. Javan, J. Appl. Phys. 36, 718 (1965).

Siegman, A. E.

A. E. Siegman, B. Daino, and K. R. Manes, IEEE Quantum Electronics QE-3, 180 (1967).

Smith, A. W.

J. A. Armstrong and A. W. Smith, in Progress in Optics 6, E. Wolf, Ed. (North-Holland Publishing Co., Amsterdam, 1967).

J. A. Armstrong and A. W. Smith, Phys. Rev. 140, 1A, 155 (1965).

Spiller, E.

W. Martienssen and E. Spiller, Phys. Rev. Letters 16, 531 (1966); Phys. Rev. 145, 286 (1966); F. T. Arecchi, A. Berné, and P. Bulamacchi, Phys. Rev. Letters 16, 32 (1966); F. Arecchi, E. Gatti, and A. Sona, Phys. Letters 20, 27 (1966).

Wolf, E.

D. Dialetis and E. Wolf, Nuovo Cimento 47, 113 (1967).

M. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1964).

Other (18)

B. Picinbono and E. Boileau, J. Opt. Soc. Am. 58, 784 (1968).

R. Hanbury Brown, J. Phys. Radium 20, 898 (1959).

C. Freed and H. A. Haus, IEEE Quantum Electronics QE-2, 190 (1966).

J. A. Armstrong and A. W. Smith, Phys. Rev. 140, 1A, 155 (1965).

J. A. Armstrong and A. W. Smith, in Progress in Optics 6, E. Wolf, Ed. (North-Holland Publishing Co., Amsterdam, 1967).

A. E. Siegman, B. Daino, and K. R. Manes, IEEE Quantum Electronics QE-3, 180 (1967).

J. A. Armstrong, J. Opt. Soc. Am. 56, 1024 (1966). 1238

D. Dialetis and E. Wolf, Nuovo Cimento 47, 113 (1967).

H. Risken, Z. Physik 186, 85 (1965); H. Risken, C. Schmid, and W. Weidlich, 194, 337 (1966).

W. Martienssen and E. Spiller, Phys. Rev. Letters 16, 531 (1966); Phys. Rev. 145, 286 (1966); F. T. Arecchi, A. Berné, and P. Bulamacchi, Phys. Rev. Letters 16, 32 (1966); F. Arecchi, E. Gatti, and A. Sona, Phys. Letters 20, 27 (1966).

M. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1964).

A. Blaquière, Ann. Radioélec. 8, 36, 153 (1963); Analyse des systemnes non linèaires (Presses Universitaires de France, Paris, 1966), p. 375.

B. Picinbono and E. Boileau, Compt. Rend. 261, 5028 (1966).

C. Freed and H. A. Haus, Phys. Rev. 141, 287 (1966).

K. Shimoda and A. Javan, J. Appl. Phys. 36, 718 (1965).

M. S. Lipsett and P. H. Lee, Appl. Opt. 5, 223 (1966).

W. E. Ahearn and J. W. Crowe, IEEE Quantum Electronics QE-2, 597 (1966).

A. Blanc-Lapierre and R. Fortet, Thérie des fonctions aléatoires (Masson, Paris, 1953).

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