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Accuracy of approximate photocount statistics of mixtures of chaotic and coherent radiation

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Abstract

We discuss the validity and accuracy of onefold approximate photocount statistics of mixtures of chaotic and coherent radiation. We determine the relative error for factorial cumulants and moments between approximate and exact solutions for heterodyne detection. It is shown how the accuracy increases as the signal-to-noise ratio grows. Other generalizations of the approximation approach can be made to improve the coincidence between the exact and approximate solutions, but their usefulness is limited. Some numerical results are obtained when the chaotic line shape is Lorentzian.

© 1986 Optical Society of America

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