Abstract

A computer simulation method is employed to investigate the dead-time modified photocount detection distribution where the ratio of coherence time of the incident radiation to the counting time τc/T ≦ 1. The principal result is to demonstrate that a dead-time correction formula that was derived for τc/T ≫ 1 may be modified to be applicable to arbitrary coherence times. The simulation technique was verified by comparing simulated results with known results for dead-time modified photocount distribution for radiation with τc/T ≫ 1 and for unmodified photocount distribution for radiation with τc/T ≦ 1.

© 1985 Optical Society of America

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References

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  1. B. E. A. Saleh, Photoelectron Statistics (Springer-Verlag, New York, 1978).
    [Crossref]
  2. D. L. Snyder, Random Point Processes (Wiley, New York, 1975).
  3. N. F. Ruggieri, D. O. Cummings, G. Lachs, “Simulation of superposed coherent and chaotic radiation of arbitrary spectral shape,” J. Appl. Phys. 43, 1118 (1972).
    [Crossref]
  4. S. R. Laxpati, G. Lachs, “Closed-form solutions for the photocount statistics of superposed coherent and chaotic radiation,” J. Appl. Phys. 43, 4773 (1972).
    [Crossref]
  5. R. J. Glauber, in Quantum Optics and Electronics les Houches, 1964, C. DeWitt, A. Blandin, C. Cohen-Tannoudi, eds. (Gordon and Breach, New York, 1965).
  6. J. Perina, Coherence of Light (Van Nostrand, London, 1971).
  7. F. T. Arecchi, A. Berne, A. Sona, P. Bulamacchi, “Photocount distributions and field statistics,” IEEE J. Quantum Electron. QE-2, 341 (1969).
  8. F. T. Arecchi, G. S. Radari, A. Sona, “Statistics of laser radiation at threshold,” Phys. Lett. 25, 59 (1967).
    [Crossref]
  9. W. S. Archibald, J. A. Armstrong, “Laser photon counting distributions near threshold,” Phys. Rev. Lett. 16, 1169 (1966).
    [Crossref]
  10. C. Freed, H. A. Haus, “Photoelectron statistics produced by a laser operating below and above the threshold of oscillation,” IEEE J. Quantum Electron. QE-2, 190 (1966).
    [Crossref]
  11. R. F. Chang, V. Korenman, C. O. Alley, R. W. Detenbeck, “Corrections in light from a laser at threshold,” Phys. Rev. 178, 612 (1969).
    [Crossref]
  12. B. E. A. Saleh, M. C. Teich, “Multiplied-Poisson noise in pulse, particle, and photon detection,” Proc. IEEE 70, 229 (1982).
    [Crossref]
  13. D. B. Scarl, “Measurements of photon correlations of partially coherent light,” Phys. Rev. 175, 1661 (1968).
    [Crossref]
  14. E. C. Jakeman, C. J. Oliver, E. R. Pike, “A measurement of optical linewidth by photon-counting statistics,” J. Phys. A 1, 406 (1968).
    [Crossref]
  15. L. Mandel, “Photon correlations,” Phys. Rev. Lett. 10, 276 (1963).
    [Crossref]
  16. G. Lachs, N. F. Ruggieri, “The effect of spectral shape on the probability of error in laser binary communications,” IEEE Trans. Aerosp. Electron. Syst. AES-9, 860 (1973).
    [Crossref]
  17. G. Lachs, M. C. Miner, “Detection statistics for laser radar in atmospheric turbulence with fluctuating targets,” IEEE Trans. Aerosp. Electron. Syst. AES-11, 234 (1975).
    [Crossref]
  18. R. M. Gagliardi, S. Karp, Optical Communications (Wiley, New York, 1976).
  19. C. W. Helstrom, J. W. S. Liu, J. P. Gordon, “Quantum mechanical communication theory,” Proc. IEEE 58, 1578 (1970).
    [Crossref]
  20. L. M. Riccardi, F. Esposito, “On some distribution functions for non-linear switching elements with finite dead time,” Ky-bernetik 3, 148 (1966).
  21. J. W. Müller, “Some formulae for a dead-time-distorted Poisson process,” Nucl. Instrum. Methods 117, 401 (1974);J. W. Müller, ed., Bibliography on dead time effects. Report BIPM-81/11 (Bureau International des Poids et Measures, Sèvres, France, 1981).
    [Crossref]
  22. B. I. Cantor, M. C. Teich, “Dead-time corrected photo-counting distributions for laser radiation,” J. Opt. Soc. Am. 65, 786 (1975).
    [Crossref]
  23. G. Vannucci, M. C. Teich, “Effects of rate variation on the counting statistics of dead-time-modified Poisson processes,” Opt. Commun. 25, 267 (1978).
    [Crossref]
  24. M. C. Teich, G. Vannucci, “Observation of dead-time-modified photocounting distributions for modulated laser radiation,” J. Opt. Soc. Am. 68, 1338, (1978).
    [Crossref]
  25. G. Bedard, “Dead-time corrections to the statistical distribution of photoelectrons,” Proc. Phys. Soc. 90, 131 (1967).
    [Crossref]
  26. I. DeLotto, P. F. Manfredi, P. Principi, “Counting statistics and dead-time losses part 1,” Energ. Nucl. (Milan) 11, 557 (1964).
  27. B. E. A. Saleh, Photoelectron Statistics (Springer-Verlag, New York, 1978), p. 275.
  28. G. Vannucci, M. C. Teich, “Dead-time-modified photocount mean and variance for chaotic radiation,” J. Opt. Soc. Am. 71, 164–170 (1981);S. K. Srinivasan, “Dead-time effects in photon counting statistics,” J. Phys. A 11, 2333–2340 (1978).
    [Crossref]
  29. L. Mandel, E. Wolf, “Coherence properties of optical fields,” Rev. Mod. Phys. 37, 231 (1965).
    [Crossref]
  30. F. J. Harris, “On the use of windows for harmonic analysis with the discrete Fourier transform,” Proc. IEEE 66, 51 (1978).
    [Crossref]
  31. A. V. Oppenheim, R. W. Schafer, Digital Signal Processing (Prentice-Hall, Englewood Cliffs, N.J., 1975).
  32. F. F. Kuo, J. F. Keiser, System Analysis by Digital Computer (Wiley, New York, 1966), Chap. 7.
  33. W. T. Lin, “Computer simulation for the photocount statistics for chaotic radiation,” M.S. thesis (Pennsylvania State University, University Park, Pa., May1984, unpublished).
  34. G. Vannucci, M. C. Teich, “Computer simulation of superposed coherent and chaotic radiation,” Appl. Opt. 19, 548 (1980).
    [Crossref] [PubMed]

1982 (1)

B. E. A. Saleh, M. C. Teich, “Multiplied-Poisson noise in pulse, particle, and photon detection,” Proc. IEEE 70, 229 (1982).
[Crossref]

1981 (1)

1980 (1)

1978 (3)

F. J. Harris, “On the use of windows for harmonic analysis with the discrete Fourier transform,” Proc. IEEE 66, 51 (1978).
[Crossref]

G. Vannucci, M. C. Teich, “Effects of rate variation on the counting statistics of dead-time-modified Poisson processes,” Opt. Commun. 25, 267 (1978).
[Crossref]

M. C. Teich, G. Vannucci, “Observation of dead-time-modified photocounting distributions for modulated laser radiation,” J. Opt. Soc. Am. 68, 1338, (1978).
[Crossref]

1975 (2)

G. Lachs, M. C. Miner, “Detection statistics for laser radar in atmospheric turbulence with fluctuating targets,” IEEE Trans. Aerosp. Electron. Syst. AES-11, 234 (1975).
[Crossref]

B. I. Cantor, M. C. Teich, “Dead-time corrected photo-counting distributions for laser radiation,” J. Opt. Soc. Am. 65, 786 (1975).
[Crossref]

1974 (1)

J. W. Müller, “Some formulae for a dead-time-distorted Poisson process,” Nucl. Instrum. Methods 117, 401 (1974);J. W. Müller, ed., Bibliography on dead time effects. Report BIPM-81/11 (Bureau International des Poids et Measures, Sèvres, France, 1981).
[Crossref]

1973 (1)

G. Lachs, N. F. Ruggieri, “The effect of spectral shape on the probability of error in laser binary communications,” IEEE Trans. Aerosp. Electron. Syst. AES-9, 860 (1973).
[Crossref]

1972 (2)

N. F. Ruggieri, D. O. Cummings, G. Lachs, “Simulation of superposed coherent and chaotic radiation of arbitrary spectral shape,” J. Appl. Phys. 43, 1118 (1972).
[Crossref]

S. R. Laxpati, G. Lachs, “Closed-form solutions for the photocount statistics of superposed coherent and chaotic radiation,” J. Appl. Phys. 43, 4773 (1972).
[Crossref]

1970 (1)

C. W. Helstrom, J. W. S. Liu, J. P. Gordon, “Quantum mechanical communication theory,” Proc. IEEE 58, 1578 (1970).
[Crossref]

1969 (2)

R. F. Chang, V. Korenman, C. O. Alley, R. W. Detenbeck, “Corrections in light from a laser at threshold,” Phys. Rev. 178, 612 (1969).
[Crossref]

F. T. Arecchi, A. Berne, A. Sona, P. Bulamacchi, “Photocount distributions and field statistics,” IEEE J. Quantum Electron. QE-2, 341 (1969).

1968 (2)

D. B. Scarl, “Measurements of photon correlations of partially coherent light,” Phys. Rev. 175, 1661 (1968).
[Crossref]

E. C. Jakeman, C. J. Oliver, E. R. Pike, “A measurement of optical linewidth by photon-counting statistics,” J. Phys. A 1, 406 (1968).
[Crossref]

1967 (2)

F. T. Arecchi, G. S. Radari, A. Sona, “Statistics of laser radiation at threshold,” Phys. Lett. 25, 59 (1967).
[Crossref]

G. Bedard, “Dead-time corrections to the statistical distribution of photoelectrons,” Proc. Phys. Soc. 90, 131 (1967).
[Crossref]

1966 (3)

L. M. Riccardi, F. Esposito, “On some distribution functions for non-linear switching elements with finite dead time,” Ky-bernetik 3, 148 (1966).

W. S. Archibald, J. A. Armstrong, “Laser photon counting distributions near threshold,” Phys. Rev. Lett. 16, 1169 (1966).
[Crossref]

C. Freed, H. A. Haus, “Photoelectron statistics produced by a laser operating below and above the threshold of oscillation,” IEEE J. Quantum Electron. QE-2, 190 (1966).
[Crossref]

1965 (1)

L. Mandel, E. Wolf, “Coherence properties of optical fields,” Rev. Mod. Phys. 37, 231 (1965).
[Crossref]

1964 (1)

I. DeLotto, P. F. Manfredi, P. Principi, “Counting statistics and dead-time losses part 1,” Energ. Nucl. (Milan) 11, 557 (1964).

1963 (1)

L. Mandel, “Photon correlations,” Phys. Rev. Lett. 10, 276 (1963).
[Crossref]

Alley, C. O.

R. F. Chang, V. Korenman, C. O. Alley, R. W. Detenbeck, “Corrections in light from a laser at threshold,” Phys. Rev. 178, 612 (1969).
[Crossref]

Archibald, W. S.

W. S. Archibald, J. A. Armstrong, “Laser photon counting distributions near threshold,” Phys. Rev. Lett. 16, 1169 (1966).
[Crossref]

Arecchi, F. T.

F. T. Arecchi, A. Berne, A. Sona, P. Bulamacchi, “Photocount distributions and field statistics,” IEEE J. Quantum Electron. QE-2, 341 (1969).

F. T. Arecchi, G. S. Radari, A. Sona, “Statistics of laser radiation at threshold,” Phys. Lett. 25, 59 (1967).
[Crossref]

Armstrong, J. A.

W. S. Archibald, J. A. Armstrong, “Laser photon counting distributions near threshold,” Phys. Rev. Lett. 16, 1169 (1966).
[Crossref]

Bedard, G.

G. Bedard, “Dead-time corrections to the statistical distribution of photoelectrons,” Proc. Phys. Soc. 90, 131 (1967).
[Crossref]

Berne, A.

F. T. Arecchi, A. Berne, A. Sona, P. Bulamacchi, “Photocount distributions and field statistics,” IEEE J. Quantum Electron. QE-2, 341 (1969).

Bulamacchi, P.

F. T. Arecchi, A. Berne, A. Sona, P. Bulamacchi, “Photocount distributions and field statistics,” IEEE J. Quantum Electron. QE-2, 341 (1969).

Cantor, B. I.

Chang, R. F.

R. F. Chang, V. Korenman, C. O. Alley, R. W. Detenbeck, “Corrections in light from a laser at threshold,” Phys. Rev. 178, 612 (1969).
[Crossref]

Cummings, D. O.

N. F. Ruggieri, D. O. Cummings, G. Lachs, “Simulation of superposed coherent and chaotic radiation of arbitrary spectral shape,” J. Appl. Phys. 43, 1118 (1972).
[Crossref]

DeLotto, I.

I. DeLotto, P. F. Manfredi, P. Principi, “Counting statistics and dead-time losses part 1,” Energ. Nucl. (Milan) 11, 557 (1964).

Detenbeck, R. W.

R. F. Chang, V. Korenman, C. O. Alley, R. W. Detenbeck, “Corrections in light from a laser at threshold,” Phys. Rev. 178, 612 (1969).
[Crossref]

Esposito, F.

L. M. Riccardi, F. Esposito, “On some distribution functions for non-linear switching elements with finite dead time,” Ky-bernetik 3, 148 (1966).

Freed, C.

C. Freed, H. A. Haus, “Photoelectron statistics produced by a laser operating below and above the threshold of oscillation,” IEEE J. Quantum Electron. QE-2, 190 (1966).
[Crossref]

Gagliardi, R. M.

R. M. Gagliardi, S. Karp, Optical Communications (Wiley, New York, 1976).

Glauber, R. J.

R. J. Glauber, in Quantum Optics and Electronics les Houches, 1964, C. DeWitt, A. Blandin, C. Cohen-Tannoudi, eds. (Gordon and Breach, New York, 1965).

Gordon, J. P.

C. W. Helstrom, J. W. S. Liu, J. P. Gordon, “Quantum mechanical communication theory,” Proc. IEEE 58, 1578 (1970).
[Crossref]

Harris, F. J.

F. J. Harris, “On the use of windows for harmonic analysis with the discrete Fourier transform,” Proc. IEEE 66, 51 (1978).
[Crossref]

Haus, H. A.

C. Freed, H. A. Haus, “Photoelectron statistics produced by a laser operating below and above the threshold of oscillation,” IEEE J. Quantum Electron. QE-2, 190 (1966).
[Crossref]

Helstrom, C. W.

C. W. Helstrom, J. W. S. Liu, J. P. Gordon, “Quantum mechanical communication theory,” Proc. IEEE 58, 1578 (1970).
[Crossref]

Jakeman, E. C.

E. C. Jakeman, C. J. Oliver, E. R. Pike, “A measurement of optical linewidth by photon-counting statistics,” J. Phys. A 1, 406 (1968).
[Crossref]

Karp, S.

R. M. Gagliardi, S. Karp, Optical Communications (Wiley, New York, 1976).

Keiser, J. F.

F. F. Kuo, J. F. Keiser, System Analysis by Digital Computer (Wiley, New York, 1966), Chap. 7.

Korenman, V.

R. F. Chang, V. Korenman, C. O. Alley, R. W. Detenbeck, “Corrections in light from a laser at threshold,” Phys. Rev. 178, 612 (1969).
[Crossref]

Kuo, F. F.

F. F. Kuo, J. F. Keiser, System Analysis by Digital Computer (Wiley, New York, 1966), Chap. 7.

Lachs, G.

G. Lachs, M. C. Miner, “Detection statistics for laser radar in atmospheric turbulence with fluctuating targets,” IEEE Trans. Aerosp. Electron. Syst. AES-11, 234 (1975).
[Crossref]

G. Lachs, N. F. Ruggieri, “The effect of spectral shape on the probability of error in laser binary communications,” IEEE Trans. Aerosp. Electron. Syst. AES-9, 860 (1973).
[Crossref]

S. R. Laxpati, G. Lachs, “Closed-form solutions for the photocount statistics of superposed coherent and chaotic radiation,” J. Appl. Phys. 43, 4773 (1972).
[Crossref]

N. F. Ruggieri, D. O. Cummings, G. Lachs, “Simulation of superposed coherent and chaotic radiation of arbitrary spectral shape,” J. Appl. Phys. 43, 1118 (1972).
[Crossref]

Laxpati, S. R.

S. R. Laxpati, G. Lachs, “Closed-form solutions for the photocount statistics of superposed coherent and chaotic radiation,” J. Appl. Phys. 43, 4773 (1972).
[Crossref]

Lin, W. T.

W. T. Lin, “Computer simulation for the photocount statistics for chaotic radiation,” M.S. thesis (Pennsylvania State University, University Park, Pa., May1984, unpublished).

Liu, J. W. S.

C. W. Helstrom, J. W. S. Liu, J. P. Gordon, “Quantum mechanical communication theory,” Proc. IEEE 58, 1578 (1970).
[Crossref]

Mandel, L.

L. Mandel, E. Wolf, “Coherence properties of optical fields,” Rev. Mod. Phys. 37, 231 (1965).
[Crossref]

L. Mandel, “Photon correlations,” Phys. Rev. Lett. 10, 276 (1963).
[Crossref]

Manfredi, P. F.

I. DeLotto, P. F. Manfredi, P. Principi, “Counting statistics and dead-time losses part 1,” Energ. Nucl. (Milan) 11, 557 (1964).

Miner, M. C.

G. Lachs, M. C. Miner, “Detection statistics for laser radar in atmospheric turbulence with fluctuating targets,” IEEE Trans. Aerosp. Electron. Syst. AES-11, 234 (1975).
[Crossref]

Müller, J. W.

J. W. Müller, “Some formulae for a dead-time-distorted Poisson process,” Nucl. Instrum. Methods 117, 401 (1974);J. W. Müller, ed., Bibliography on dead time effects. Report BIPM-81/11 (Bureau International des Poids et Measures, Sèvres, France, 1981).
[Crossref]

Oliver, C. J.

E. C. Jakeman, C. J. Oliver, E. R. Pike, “A measurement of optical linewidth by photon-counting statistics,” J. Phys. A 1, 406 (1968).
[Crossref]

Oppenheim, A. V.

A. V. Oppenheim, R. W. Schafer, Digital Signal Processing (Prentice-Hall, Englewood Cliffs, N.J., 1975).

Perina, J.

J. Perina, Coherence of Light (Van Nostrand, London, 1971).

Pike, E. R.

E. C. Jakeman, C. J. Oliver, E. R. Pike, “A measurement of optical linewidth by photon-counting statistics,” J. Phys. A 1, 406 (1968).
[Crossref]

Principi, P.

I. DeLotto, P. F. Manfredi, P. Principi, “Counting statistics and dead-time losses part 1,” Energ. Nucl. (Milan) 11, 557 (1964).

Radari, G. S.

F. T. Arecchi, G. S. Radari, A. Sona, “Statistics of laser radiation at threshold,” Phys. Lett. 25, 59 (1967).
[Crossref]

Riccardi, L. M.

L. M. Riccardi, F. Esposito, “On some distribution functions for non-linear switching elements with finite dead time,” Ky-bernetik 3, 148 (1966).

Ruggieri, N. F.

G. Lachs, N. F. Ruggieri, “The effect of spectral shape on the probability of error in laser binary communications,” IEEE Trans. Aerosp. Electron. Syst. AES-9, 860 (1973).
[Crossref]

N. F. Ruggieri, D. O. Cummings, G. Lachs, “Simulation of superposed coherent and chaotic radiation of arbitrary spectral shape,” J. Appl. Phys. 43, 1118 (1972).
[Crossref]

Saleh, B. E. A.

B. E. A. Saleh, M. C. Teich, “Multiplied-Poisson noise in pulse, particle, and photon detection,” Proc. IEEE 70, 229 (1982).
[Crossref]

B. E. A. Saleh, Photoelectron Statistics (Springer-Verlag, New York, 1978).
[Crossref]

B. E. A. Saleh, Photoelectron Statistics (Springer-Verlag, New York, 1978), p. 275.

Scarl, D. B.

D. B. Scarl, “Measurements of photon correlations of partially coherent light,” Phys. Rev. 175, 1661 (1968).
[Crossref]

Schafer, R. W.

A. V. Oppenheim, R. W. Schafer, Digital Signal Processing (Prentice-Hall, Englewood Cliffs, N.J., 1975).

Snyder, D. L.

D. L. Snyder, Random Point Processes (Wiley, New York, 1975).

Sona, A.

F. T. Arecchi, A. Berne, A. Sona, P. Bulamacchi, “Photocount distributions and field statistics,” IEEE J. Quantum Electron. QE-2, 341 (1969).

F. T. Arecchi, G. S. Radari, A. Sona, “Statistics of laser radiation at threshold,” Phys. Lett. 25, 59 (1967).
[Crossref]

Teich, M. C.

Vannucci, G.

Wolf, E.

L. Mandel, E. Wolf, “Coherence properties of optical fields,” Rev. Mod. Phys. 37, 231 (1965).
[Crossref]

Appl. Opt. (1)

Energ. Nucl. (Milan) (1)

I. DeLotto, P. F. Manfredi, P. Principi, “Counting statistics and dead-time losses part 1,” Energ. Nucl. (Milan) 11, 557 (1964).

IEEE J. Quantum Electron. (2)

F. T. Arecchi, A. Berne, A. Sona, P. Bulamacchi, “Photocount distributions and field statistics,” IEEE J. Quantum Electron. QE-2, 341 (1969).

C. Freed, H. A. Haus, “Photoelectron statistics produced by a laser operating below and above the threshold of oscillation,” IEEE J. Quantum Electron. QE-2, 190 (1966).
[Crossref]

IEEE Trans. Aerosp. Electron. Syst. (2)

G. Lachs, N. F. Ruggieri, “The effect of spectral shape on the probability of error in laser binary communications,” IEEE Trans. Aerosp. Electron. Syst. AES-9, 860 (1973).
[Crossref]

G. Lachs, M. C. Miner, “Detection statistics for laser radar in atmospheric turbulence with fluctuating targets,” IEEE Trans. Aerosp. Electron. Syst. AES-11, 234 (1975).
[Crossref]

J. Appl. Phys. (2)

N. F. Ruggieri, D. O. Cummings, G. Lachs, “Simulation of superposed coherent and chaotic radiation of arbitrary spectral shape,” J. Appl. Phys. 43, 1118 (1972).
[Crossref]

S. R. Laxpati, G. Lachs, “Closed-form solutions for the photocount statistics of superposed coherent and chaotic radiation,” J. Appl. Phys. 43, 4773 (1972).
[Crossref]

J. Opt. Soc. Am. (3)

J. Phys. A (1)

E. C. Jakeman, C. J. Oliver, E. R. Pike, “A measurement of optical linewidth by photon-counting statistics,” J. Phys. A 1, 406 (1968).
[Crossref]

Ky-bernetik (1)

L. M. Riccardi, F. Esposito, “On some distribution functions for non-linear switching elements with finite dead time,” Ky-bernetik 3, 148 (1966).

Nucl. Instrum. Methods (1)

J. W. Müller, “Some formulae for a dead-time-distorted Poisson process,” Nucl. Instrum. Methods 117, 401 (1974);J. W. Müller, ed., Bibliography on dead time effects. Report BIPM-81/11 (Bureau International des Poids et Measures, Sèvres, France, 1981).
[Crossref]

Opt. Commun. (1)

G. Vannucci, M. C. Teich, “Effects of rate variation on the counting statistics of dead-time-modified Poisson processes,” Opt. Commun. 25, 267 (1978).
[Crossref]

Phys. Lett. (1)

F. T. Arecchi, G. S. Radari, A. Sona, “Statistics of laser radiation at threshold,” Phys. Lett. 25, 59 (1967).
[Crossref]

Phys. Rev. (2)

R. F. Chang, V. Korenman, C. O. Alley, R. W. Detenbeck, “Corrections in light from a laser at threshold,” Phys. Rev. 178, 612 (1969).
[Crossref]

D. B. Scarl, “Measurements of photon correlations of partially coherent light,” Phys. Rev. 175, 1661 (1968).
[Crossref]

Phys. Rev. Lett. (2)

L. Mandel, “Photon correlations,” Phys. Rev. Lett. 10, 276 (1963).
[Crossref]

W. S. Archibald, J. A. Armstrong, “Laser photon counting distributions near threshold,” Phys. Rev. Lett. 16, 1169 (1966).
[Crossref]

Proc. IEEE (3)

B. E. A. Saleh, M. C. Teich, “Multiplied-Poisson noise in pulse, particle, and photon detection,” Proc. IEEE 70, 229 (1982).
[Crossref]

C. W. Helstrom, J. W. S. Liu, J. P. Gordon, “Quantum mechanical communication theory,” Proc. IEEE 58, 1578 (1970).
[Crossref]

F. J. Harris, “On the use of windows for harmonic analysis with the discrete Fourier transform,” Proc. IEEE 66, 51 (1978).
[Crossref]

Proc. Phys. Soc. (1)

G. Bedard, “Dead-time corrections to the statistical distribution of photoelectrons,” Proc. Phys. Soc. 90, 131 (1967).
[Crossref]

Rev. Mod. Phys. (1)

L. Mandel, E. Wolf, “Coherence properties of optical fields,” Rev. Mod. Phys. 37, 231 (1965).
[Crossref]

Other (9)

A. V. Oppenheim, R. W. Schafer, Digital Signal Processing (Prentice-Hall, Englewood Cliffs, N.J., 1975).

F. F. Kuo, J. F. Keiser, System Analysis by Digital Computer (Wiley, New York, 1966), Chap. 7.

W. T. Lin, “Computer simulation for the photocount statistics for chaotic radiation,” M.S. thesis (Pennsylvania State University, University Park, Pa., May1984, unpublished).

B. E. A. Saleh, Photoelectron Statistics (Springer-Verlag, New York, 1978), p. 275.

R. M. Gagliardi, S. Karp, Optical Communications (Wiley, New York, 1976).

B. E. A. Saleh, Photoelectron Statistics (Springer-Verlag, New York, 1978).
[Crossref]

D. L. Snyder, Random Point Processes (Wiley, New York, 1975).

R. J. Glauber, in Quantum Optics and Electronics les Houches, 1964, C. DeWitt, A. Blandin, C. Cohen-Tannoudi, eds. (Gordon and Breach, New York, 1965).

J. Perina, Coherence of Light (Van Nostrand, London, 1971).

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Figures (9)

Fig. 1
Fig. 1

Block diagram of computer simulation.

Fig. 2
Fig. 2

The photocount distribution for coherent radiation with the average number of counts 〈n〉 = 15. The solid curve represents theoretical formulas, 21 and the dots represent computer-simulated results.

Fig. 3
Fig. 3

The photocount distribution for triangularly modulated laser radiation with the average number of counts 〈n〉 = 15 and modulation index m = 0.75. The solid curve represents theoretical formulas,24 and the dots represent computer-simulated results.

Fig. 4
Fig. 4

Dead-time-modified photocount distribution for chaotic radiation, τc/T = 10.

Fig. 5
Fig. 5

Photocount statistics for simulated chaotic radiation in the absence of dead-time effects, τc/T = 1. The smooth solid curves represent theory,4 while the jagged curves are computer simulations.

Fig. 6
Fig. 6

Photocount statistics for simulated chaotic radiation in the absence of dead-time effects, τc/T = 0.1. The smooth solid curves represent theory,4 while the jagged curves are computer simulations.

Fig. 7
Fig. 7

Photocount statistics for simulated chaotic radiation in the absence of dead-time effects, τc/T = 0.01. The smooth solid curves represent theory,4 while the jagged curves are computer simulations.

Fig. 8
Fig. 8

Dead-time-modified photocount distribution for chaotic radiation, τc/T = 1, and τd/T = 0.005.

Fig. 9
Fig. 9

Dead-time-modified photocount distribution for chaotic radiation, τc/T = 0.1, and τd/T = 0.005.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

A ( t ) = A i ( t ) cos ω 0 t + A q ( t ) sin ω 0 t ,
I ( t ) = C | A ( t ) | 2 = C [ | A i ( t ) | 2 + | A i ( t ) | 2 ] ,
p ( I ) = ( I ) 1 exp ( I / I ) .
p c ( n , τ d , T ) = k = 0 n [ λ ( T n τ d ) ] k / [ 1 + λ ( T n τ d ) ] k + 1 k = 0 n 1 { λ [ T ( n 1 ) τ d ] } k / { 1 + λ [ T ( n 1 ) τ d ] } k + 1 ,
p c ( n , τ d , T ) = p 0 ( n , T ) [ 1 n ( n 1 ) τ d / T ] + p 0 ( n + 1 , T ) [ n ( n + 1 ) τ d / T ] ,

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