Closed-form solutions for the photocount statistics of superposed coherent and chaotic radiation

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Abstract
In recent years there has been considerable utilization of photocount statistics for studying theoretical and experimental properties of a quantized electromagnetic field. The electromagnetic field, which has been of greatest interest in these areas, is a superposition of coherent and chaotic radiation. In this paper closed‐form recurrence equations are derived for the photocount distribution and the factorial moments for this case. The photocount distribution is then obtained by using a well‐known solution for p(0, T), and the factorial moments are generated by using the fact that the zeroth factorial moment is unity.