Abstract

Extending the concept of the classical addition of wave packets to that of a random ensemble, a hypothesis has been proposed that treats the classical field as such an ensemble. Computations of the resulting field envelope and short-term counting statistics were also made. As a consequence, a test was proposed that would essentially measure the “shot noise” inherent in such a model and differentiate it from the discreteness resulting from the photodetection process. In this paper the test is examined in terms of the resources and environment necessary to perform it.

© 1976 Optical Society of America

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References

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  1. P. A. M. Dirac, Quantum Mechanics, 3rd ed. (Oxford U. P., London), p. 9.
  2. A. T. Forrester, R. A. Gudmundsen, and P. O. Johnson, "Photoelectric Mixing of Incoherent Light," Phys. Rev. 99, 1691 (1955).
  3. L. Mandel and E. Wolf, "Coherence Properties of Optical Fields," Rev. Mod. Phys. 37, 231 (1965).
  4. S. Karp, R. M. Galiardi, and I. S. Reed, "Radiation Models Using Discrete Radiator Ensembles," Proc. IEEE 56, 1704 (1968).
  5. S. Karp, "Statistical Properties of Ensembles of Classical Wave Packets," J. Opt. Soc. Am. 65, 421 (1975).
  6. H. Cramer, Mathematical Methods of Statistics (Princeton U. P., Princeton, N.J., 1954).
  7. R. M. Galiardi, and S. Karp, Optical Communications (Wiley Interscience, New York, 1976) p. 62.

1975

1968

S. Karp, R. M. Galiardi, and I. S. Reed, "Radiation Models Using Discrete Radiator Ensembles," Proc. IEEE 56, 1704 (1968).

1965

L. Mandel and E. Wolf, "Coherence Properties of Optical Fields," Rev. Mod. Phys. 37, 231 (1965).

1955

A. T. Forrester, R. A. Gudmundsen, and P. O. Johnson, "Photoelectric Mixing of Incoherent Light," Phys. Rev. 99, 1691 (1955).

Cramer, H.

H. Cramer, Mathematical Methods of Statistics (Princeton U. P., Princeton, N.J., 1954).

Dirac, P. A. M.

P. A. M. Dirac, Quantum Mechanics, 3rd ed. (Oxford U. P., London), p. 9.

Forrester, A. T.

A. T. Forrester, R. A. Gudmundsen, and P. O. Johnson, "Photoelectric Mixing of Incoherent Light," Phys. Rev. 99, 1691 (1955).

Galiardi, R. M.

S. Karp, R. M. Galiardi, and I. S. Reed, "Radiation Models Using Discrete Radiator Ensembles," Proc. IEEE 56, 1704 (1968).

R. M. Galiardi, and S. Karp, Optical Communications (Wiley Interscience, New York, 1976) p. 62.

Gudmundsen, R. A.

A. T. Forrester, R. A. Gudmundsen, and P. O. Johnson, "Photoelectric Mixing of Incoherent Light," Phys. Rev. 99, 1691 (1955).

Johnson, P. O.

A. T. Forrester, R. A. Gudmundsen, and P. O. Johnson, "Photoelectric Mixing of Incoherent Light," Phys. Rev. 99, 1691 (1955).

Karp, S.

S. Karp, "Statistical Properties of Ensembles of Classical Wave Packets," J. Opt. Soc. Am. 65, 421 (1975).

S. Karp, R. M. Galiardi, and I. S. Reed, "Radiation Models Using Discrete Radiator Ensembles," Proc. IEEE 56, 1704 (1968).

R. M. Galiardi, and S. Karp, Optical Communications (Wiley Interscience, New York, 1976) p. 62.

Mandel, L.

L. Mandel and E. Wolf, "Coherence Properties of Optical Fields," Rev. Mod. Phys. 37, 231 (1965).

Reed, I. S.

S. Karp, R. M. Galiardi, and I. S. Reed, "Radiation Models Using Discrete Radiator Ensembles," Proc. IEEE 56, 1704 (1968).

Wolf, E.

L. Mandel and E. Wolf, "Coherence Properties of Optical Fields," Rev. Mod. Phys. 37, 231 (1965).

J. Opt. Soc. Am.

Phys. Rev.

A. T. Forrester, R. A. Gudmundsen, and P. O. Johnson, "Photoelectric Mixing of Incoherent Light," Phys. Rev. 99, 1691 (1955).

Rev. Mod. Phys.

L. Mandel and E. Wolf, "Coherence Properties of Optical Fields," Rev. Mod. Phys. 37, 231 (1965).

Other

S. Karp, R. M. Galiardi, and I. S. Reed, "Radiation Models Using Discrete Radiator Ensembles," Proc. IEEE 56, 1704 (1968).

H. Cramer, Mathematical Methods of Statistics (Princeton U. P., Princeton, N.J., 1954).

R. M. Galiardi, and S. Karp, Optical Communications (Wiley Interscience, New York, 1976) p. 62.

P. A. M. Dirac, Quantum Mechanics, 3rd ed. (Oxford U. P., London), p. 9.

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