## Dead-time modified photocount distributions for chaotic radiation with arbitrary coherence times

JOSA A, Vol. 2, Issue 10, pp. 1687-1692 (1985)

http://dx.doi.org/10.1364/JOSAA.2.001687

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### 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 *τ*_{c}/*T* ≦ 1. The principal result is to demonstrate that a dead-time correction formula that was derived for *τ*_{c}/*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 *τ*_{c}/*T* ≫ 1 and for unmodified photocount distribution for radiation with *τ*_{c}/*T* ≦ 1.

© 1985 Optical Society of America

**History**

Original Manuscript: March 3, 1985

Manuscript Accepted: June 13, 1985

Published: October 1, 1985

**Citation**

Gerard Lachs and Lin Wen-Tsung, "Dead-time modified photocount distributions for chaotic radiation with arbitrary coherence times," J. Opt. Soc. Am. A **2**, 1687-1692 (1985)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-2-10-1687

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### References

- B. E. A. Saleh, Photoelectron Statistics (Springer-Verlag, New York, 1978). [CrossRef]
- D. L. Snyder, Random Point Processes (Wiley, New York, 1975).
- 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]
- 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).
- 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]
- 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]
- 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]
- B. E. A. Saleh, M. C. Teich, “Multiplied-Poisson noise in pulse, particle, and photon detection,” Proc. IEEE 70, 229 (1982). [CrossRef]
- 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]
- L. Mandel, “Photon correlations,” Phys. Rev. Lett. 10, 276 (1963). [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]
- 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]
- R. M. Gagliardi, S. Karp, Optical Communications (Wiley, New York, 1976).
- C. W. Helstrom, J. W. S. Liu, J. P. Gordon, “Quantum mechanical communication theory,” Proc. IEEE 58, 1578 (1970). [CrossRef]
- L. M. Riccardi, F. Esposito, “On some distribution functions for non-linear switching elements with finite dead time,” Ky-bernetik 3, 148 (1966).
- 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]
- B. I. Cantor, M. C. Teich, “Dead-time corrected photo-counting distributions for laser radiation,” J. Opt. Soc. Am. 65, 786 (1975). [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]
- G. Bedard, “Dead-time corrections to the statistical distribution of photoelectrons,” Proc. Phys. Soc. 90, 131 (1967). [CrossRef]
- I. DeLotto, P. F. Manfredi, P. Principi, “Counting statistics and dead-time losses part 1,” Energ. Nucl. (Milan) 11, 557 (1964).
- B. E. A. Saleh, Photoelectron Statistics (Springer-Verlag, New York, 1978), p. 275.
- 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]
- L. Mandel, E. Wolf, “Coherence properties of optical fields,” Rev. Mod. Phys. 37, 231 (1965). [CrossRef]
- F. J. Harris, “On the use of windows for harmonic analysis with the discrete Fourier transform,” Proc. IEEE 66, 51 (1978). [CrossRef]
- 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).
- G. Vannucci, M. C. Teich, “Computer simulation of superposed coherent and chaotic radiation,” Appl. Opt. 19, 548 (1980). [CrossRef] [PubMed]

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