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The widely used experimental technique of continuous-wave detection assumescounting pulses of photocurrent from a click-type detector inside a givenmeasurement time window. With such a procedure we miss out the photons detectedafter each photocurrent pulse during the detector dead time. Additionally, eachpulse may initialize so-called afterpulse, which is not associated with thereal photons. We derive the corresponding quantum photocounting formula andexperimentally verify its validity. Statistics of photocurrent pulses appearsto be nonlinear with respect to quantum state, which is explained by the memoryeffect of the previous measurement time windows. Expressions -- in general,nonlinear -- connecting statistics of photons and pulses are derived fordifferent measurement scenarios. We also consider an application of theobtained results to quantum state reconstruction with unbalanced homodynedetection.

Photocounting measurements with dead time and afterpulses in the continuous-wave regime