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
(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
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)