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It is shown that both the visibility ${\cal V} = 1/2$ predicted fortwo-photon interference experiments with two independentsources\textcolor{black}{, like the Hanbury Brown-Twiss experiment,} and thevisibility ${\cal V} = 1$ predicted for two-photon interference experimentswith a parametric down-conversion source\textcolor{black}{, like theGhosh-Mandel experiment,} can be explained \textcolor{black}{by a discreteevent simulation. This simulation approach reproduces the statisticaldistributions of wave theory not by requiring the knowledge of the solution ofthe wave equation of the whole system but by generating detection eventsone-by-one according to an unknown distribution.} There is thus no need toinvoke quantum theory to explain the so-called nonclassical effects in theinterference of signal and idler photons in parametric down conversion. Hence,a revision of the commonly accepted criterion of the nonclassical nature oflight\textcolor{black}{, ${\cal V} > 1/2$,} is called for.

Nonclassical effects in two-photon interference experiments: event-by-event simulations