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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 16, Iss. 2 — Feb. 1, 1999
  • pp: 348–358

Reduction of quantum noise in transmittance estimation using photon-correlated beams

Majeed M. Hayat, Adel Joobeur, and Bahaa E. A. Saleh  »View Author Affiliations


JOSA A, Vol. 16, Issue 2, pp. 348-358 (1999)
http://dx.doi.org/10.1364/JOSAA.16.000348


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Abstract

The accuracy of optical measurements at low light levels is limited by the quantum noise of the source and by the random nature of the interaction with the measured object. The source noise may be reduced by use of nonclassical photon-number squeezed light. We consider the use of two photon-correlated beams (generated, for example, by spontaneous parametric downconversion) to measure the optical transmittance of an object. The photons of each beam obey a random Poisson process but are synchronized in time. One beam is used to probe the object, and the other is used as a reference providing information on the realization of the random arrival of photons at the object. The additional information available by such measurement may be exploited to improve the accuracy of the measurement. Various estimators, including the maximum-likelihood estimator, are considered, and their performance is evaluated and compared with the measurement based on a single-beam conventional (Poissonian) source and a maximally squeezed (fixed-photon-number) source. The performance advantage that is established depends on parameters such as the intensity of the source, the transmittance of the object, the quantum efficiency of the detectors, the background noise, and the degree of correlation of the photon numbers in the two beams.

© 1999 Optical Society of America

OCIS Codes
(030.4280) Coherence and statistical optics : Noise in imaging systems
(030.5260) Coherence and statistical optics : Photon counting
(030.5290) Coherence and statistical optics : Photon statistics
(030.6600) Coherence and statistical optics : Statistical optics
(270.6570) Quantum optics : Squeezed states

History
Original Manuscript: May 26, 1998
Revised Manuscript: September 21, 1998
Manuscript Accepted: September 25, 1998
Published: February 1, 1999

Citation
Majeed M. Hayat, Adel Joobeur, and Bahaa E. A. Saleh, "Reduction of quantum noise in transmittance estimation using photon-correlated beams," J. Opt. Soc. Am. A 16, 348-358 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-2-348


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References

  1. B. E. A. Saleh, Photoelectron Statistics (Springer, Berlin, 1978).
  2. M. Rabbani, “Bayesian filtering of Poisson noise using local statistics,” IEEE Trans. Acoust., Speech, Signal Process. 36, 933–937 (1988). [CrossRef]
  3. R. E. Sequeira, J. A. Gubner, B. E. A. Saleh, “Quantum-limited image detection,” IEEE Trans. Image Process. 2, 18–26 (1993). [CrossRef]
  4. B. E. A. Saleh, “Quantum noise in optical processing,” in Real-Time Optical Processing, B. Javidi, J. Horner, eds. (Academic, New York, 1994), pp. 407–437.
  5. L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, UK, 1995). Sect. 22.4.
  6. M. C. Teich, B. E. A. Saleh, “Photon bunching and antibunching,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1988), pp. 1–104.
  7. B. E. A. Saleh, M. C. Teich, “Information transmission with photon-number-squeezed light,” Proc. IEEE 80, 451–460 (1992). [CrossRef]
  8. S.-H. Youn, J.-H. Lee, J.-S. Chang, “Quantum-mechanical noise characteristics in doubly resonant optical parametric oscillator,” J. Opt. Soc. Am. B 11, 2282–2286 (1994). [CrossRef]
  9. B. R. Mollow, “Photon correlations in the parametric frequency splitting of light,” Phys. Rev. A 8, 2684–2694 (1973). [CrossRef]
  10. C. K. Hong, L. Mandel, “Theory of parametric frequency down conversion of light,” Phys. Rev. A 31, 2409–2418 (1985). [CrossRef] [PubMed]
  11. N. Klyshko, Photons and Nonlinear Optics (Gordon & Breach, New York, 1988).
  12. A. J. Joobeur, B. E. A. Saleh, M. C. Teich, “Spatiotemporal coherence properties of entangled light beams generated by parametric down-conversion,” Phys. Rev. A 50, 3349–3361 (1994). [CrossRef] [PubMed]
  13. A. J. Joobeur, B. E. A. Saleh, T. S. Larchuk, M. C. Teich, “Coherence properties of entangled light beams generated by parametric down-conversion: theory and experiment,” Phys. Rev. A 53, 4360–4371 (1996). [CrossRef] [PubMed]
  14. P. R. Tapster, J. G. Rarity, J. S. Satchell, “Use of parametric down-conversion to generate sub-Poisson light,” Phys. Rev. A 37, 2963–2967 (1988). [CrossRef] [PubMed]
  15. J. G. Rarity, P. R. Tapster, E. Jakeman, “Observation of sub-Poisson light in parametric downconversion,” Opt. Commun. 62, 201–206 (1987). [CrossRef]
  16. J. G. Rarity, P. R. Tapster, J. A. Levenson, J. C. Farreau, I. Abram, J. Mertz, T. Debuisschert, A. Heidman, C. Fabre, E. Giacobino, “Quantum correlated twin beams,” Appl. Phys. B: Photophys. Laser Chem. 55, 250–257 (1992). [CrossRef]
  17. E. A. Perkins, R. J. Carr, J. G. Rarity, “A twin-beam fibre laser light scattering system,” Meas. Sci. Technol. 4, 215–220 (1993). [CrossRef]
  18. C. K. Hong, S. R. Friberg, L. Mandel, “Optical communication channel based on coincident photon pairs,” Appl. Opt. 24, 3877–3882 (1985). [CrossRef] [PubMed]
  19. L. Mandel, “Proposal for almost noise-free optical communication under conditions of high background,” J. Opt. Soc. Am. B 1, 108–110 (1984). [CrossRef]
  20. E. Jakeman, J. G. Rarity, “The use of pair production processes to reduce quantum noise in transmission measurement,” Opt. Commun. 59, 219–223 (1986). [CrossRef]
  21. H. V. Poor, Introduction to Signal Detection and Estimation (Springer-Verlag, New York, 1988).
  22. L. Mandel, “Sub-Poissonian photon statistics in resonance fluorescence,” Opt. Lett. 4, 205–207 (1979). [CrossRef] [PubMed]
  23. H. Stark, J. W. Woods, Probability, Random Processes, and Estimation Theory for Engineers (Prentice-Hall, Upper Saddle River, N.J., 1994).
  24. B. E. A. Saleh, “Quantum imaging,” invited paper presented at the 1997 OSA Annual Meeting, Long Beach, Calif., 1997.
  25. B. Huttner, J. J. Baumberg, J. F. Ryan, “Detection of short pulses of non-classical light,” Opt. Commun. 90, 128–132 (1992). [CrossRef]
  26. J. K. Breslin, G. J. Milburn, “Conditional variance reduction by measurements on correlated field modes,” Phys. Rev. A 55, 1430–1436 (1997). [CrossRef]

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